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ESAS Preboard OBJECTIVES
BS Electrical Engineering (Rizal Technological University)
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LATEST PRE-BOARD EXAM COMPILATION
ENGINEERING SCIENCES AND ALLIED SUBJECTS
AUGUST 2012 – JULY 2018
WITH QUESTION AND SOLUTION
RIZAL TECHNOLOGICAL UNIVERSITY
MAY 2019
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REGISTERED ELECTRICAL ENGINEERS PRE-BOARD EXAMINATION
MARCH 2018
ENGINEERING SCIENCES AND ALLIED SUBJECTS
TABLE OF CONTENTS
ESAS PRE-BOARD EXAM JULY 2018........................................................................... 2
ESAS PRE-BOARD EXAM MARCH 2018 .................................................................... 17
ESAS PRE-BOARD EXAM AUGUST 2017 .................................................................. 33
ESAS PRE-BOARD EXAM MARCH 2017 .................................................................... 49
ESAS PRE-BOARD EXAM AUGUST 2016 .................................................................. 62
ESAS PRE-BOARD EXAM MARCH 2016 .................................................................... 81
ESAS PRE-BOARD EXAM AUGUST 2015 .................................................................. 95
ESAS PRE-BOARD EXAM MARCH 2015 .................................................................. 115
ESAS PRE-BOARD EXAM AUGUST 2014 ................................................................ 132
ESAS PRE-BOARD EXAM MARCH 2014 .................................................................. 146
ESAS PRE-BOARD EXAM AUGUST 2013 ................................................................ 167
ESAS PRE-BOARD EXAM MARCH 2013 .................................................................. 190
ESAS PRE-BOARD EXAM AUGUST 2012 ................................................................ 213
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REGISTERED ELECTRICAL ENGINEERS PRE-BOARD EXAMINATION
JULY 2018
ENGINEERING SCIENCES AND ALLIED SUBJECTS
ESAS PRE-BOARD EXAM JULY 2018
1. Mr. Juan dela Cruz drives 120 km at 100km/h and 120 km at 90 km/h. What is the
average speed of Mr. dela Cruz on this trip in km/h?
A. 93.5
B. 94.7
C. 85.8
D. 82.3
Solution:
120 + 120
𝐴𝑣𝑒. 𝑠𝑝𝑒𝑒𝑑 = 𝑑𝑖𝑠𝑡𝑎𝑛𝑐𝑒⁄𝑡𝑖𝑚𝑒 =
= 𝟗𝟒. 𝟕
120 120
+
100 90
2. In a spreadsheet (EXCEL), the number in cell A2 is set to 2. Then cell B2 is set to
A2 x 4 / $A$2, where $ indicates the absolute cell address. This formula is copied
into cells C2 and D2. What is the value shown in cell D2?
A. 8
B. 2
C. 4
D. 16
Solution:
A2 x 4 / $A$2
2
4∗ = 4
2
B2 x 4 / $A$2
4
4∗ = 8
2
C2 x 4 / $A$2
4
8 ∗ = 𝟏𝟔
2
3. What is the MOST nearly effective annual interest rate on a loan if the nominal
interest rate is 9% per year compounded quarterly?
A. 9.52%
B. 9.84%
C. 9.68%
D. 9.31%
Solution:
𝐸𝑅𝐼 = (1 +
𝑟
0.09
)𝑚 – 1 = (1 +
)4 – 1 = 0.0931 𝑥 100% = 𝟗. 𝟑𝟏%
𝑚
4
4. Find the amount of P30,000 at 6% simple interest after 5 years.
A. P39,000
B. P40,000
C. P41,000
D. P42,000
Solution:
𝐹 = 𝑃 ( 1 + 𝑖𝑛) = 30,000 (1 + 0.06𝑥5) = 𝑷𝟑𝟗, 𝟎𝟎𝟎
5. A bar of uniform cross section is subject to a uniaxial tension and develops a strain
in the direction of the force 1/800. Calculate the change of volume per unit volume.
Assume µ= 1/3.
A. 1/2400 (inc)
B. 1/2400 (dec)
C. 1/1200 (inc)
D. 1/1200 (dec)
2
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REGISTERED ELECTRICAL ENGINEERS PRE-BOARD EXAMINATION
JULY 2018
ENGINEERING SCIENCES AND ALLIED SUBJECTS
Solution:
∆𝑣
= ∈ 𝑎𝑥𝑖𝑎𝑙 (1 − 2𝜇)
𝑣
∆𝑣
1
1
𝟏
=
(1 − 2 ∗ =
(𝒊𝒏𝒄)
𝑣
1800
3 𝟐𝟒𝟎𝟎
6. A bank is advertising 9.5 percent account that yield 9.84 percent annually. Find how
often interest is compounded.
A. Monthly
B. Bimonthly
C. Quarterly
D. Annually
7. Defects seen by optical or electron microscope.
A. alteration
B. aberration
C. atomization
D. deformation
8. NGCP warns ___________ alert if tropical disturbance is expected to make a
landfall within 24hrs.
A. yellow
B. blue
C. red
D. weather disturbance
9. What is work-in process classified as
A. an asset
B. a liability
C. an expense
D. owner’s equity
10. It state that if two bodies are in thermal equilibrium with a third body, they are also in
thermal equilibrium with each other.
A. first law of thermodynamics
C. third law of thermodynamics
B. zeroth law of thermodynamics
D. second law of thermodynamics
11. The circuit conductors between the final overcurrent device protecting the circuit and
the outlet(s).
A. Feeder
C. Branch Circuit
B. Service lateral
D. Service conductor
12. The term “thermodynamics” comes from the Greek words “Therme” and “Dynamis”
which means
A. heat, power
C. heat, transfer
B. heat, motion
D. heat, energy
3
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REGISTERED ELECTRICAL ENGINEERS PRE-BOARD EXAMINATION
JULY 2018
ENGINEERING SCIENCES AND ALLIED SUBJECTS
13. If a refrigerator uses 1.5kJ to cool a 1kJ input. What was the heat transferred to the
kitchen?
A. 1kJ
B. 2kJ
C. 0.5kJ
D. 2.5kJ
Solution:
𝑤 = 𝑄𝐻 – 𝑄𝐿
𝑄𝐻 = 𝑤 + 𝑄𝐿 = 1.5 + 1 = 𝟐. 𝟓𝒌𝑱
14. A mass m is released at a height h, using conservation of energy, find the final
velocity of the mass as it hits the ground.
A. v = gh
B. v= gh/ 2
C. v= √𝟐𝒈𝒉
D. v= √𝑔ℎ
15. A conducting connections, whether intentional or accidental, between an electrical
circuit or equipment and the earth, or to some conducting body that serves in place
of the earth.
A. Grounded
B. Ground
C. Short
D. Fault
16. An essential part of a large dam and provides an efficient and safe means of
releasing flow of water that exceeds the design capacity of the reservoir.
A. spillway
B. weir
C. culverts
D. standpipe
17. The maximum bending moment in a simple supported beam of span L and carrying
a concentrated load “W” is
A. WL
B. WL/ 2
C. WL/ 4
D. 2WL
18. MS-DOS is a type of?
A. system software
B. operating system
C. application software
D. system architecture
19. (111) base 2 + (111) base 2 = ( ) base 2.
A. 11011
B. 11101
C. 11110
D. 11100
Solution:
1112 + 1112 = ________2
1112
+1112
111102
4
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REGISTERED ELECTRICAL ENGINEERS PRE-BOARD EXAMINATION
JULY 2018
ENGINEERING SCIENCES AND ALLIED SUBJECTS
20. The ampacity of the fuse should be 125% of the continuous load current is covered
by
A. installation design
C. manufacturing design
B. wiring design
D. construction design
21. Steel that are used for axles, gears and similar parts requiring medium to high
hardness and high strength are known as
A. Low- carbon steels
C. High-carbon steels
B. Medium-carbon steels
D. Very high-carbon steel
22. What will you do when you install a new heat sink?
A. Insert thermal compound between processor and system board.
B. Apply isopropyl alcohol between processor and heat sink.
C. Insert thermal compound between processor and heat sink.
D. Apply isopropyl alcohol between processor and system board.
23. Assuming i= annual rate of return, n= number of years, F= future worth, and
P= present worth, what is the future worth of a present amount P(F/P, I, n).
A. P( 1+ i)n
B. P( 1+ i)n-1
C. P( 1+ i)-n
D. P( 1+ i)i
24. Which of the following statements is not correct?
A. A nominal rate of 12% per annum compounded quarterly is the same as (12%) +
4 = 3% per quarter.
B. One dollar compounded quarterly at 3% for n years has a worth of (1.03) 4n
dollars.
C. Compounding quarterly at a nominal rate of 12% per year is equivalent to
compounding annually at a rate of 12.55%.
D. Effective rate of return in choices (A) through (C) is the difference between
12.55% and 12%.
25. XYZ Corporation is applying for a short term loan. In reviewing XYZ Corporation’s
financial records, bank ABC finds a current ratio of 2.0, an acid test ratio of 0.5, and
an account receivable period of 70 days. What should the banker do?
I. suggest that XYZ Corporation lower its inventories
II. suggest that XYZ Corporation be more aggressive in collecting on its invoices
A.I only
B. II only
C. either I or II
D. both I or II
26. The ideal, reversible Carnot cycle involve four basic processes. What type of
5
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REGISTERED ELECTRICAL ENGINEERS PRE-BOARD EXAMINATION
JULY 2018
ENGINEERING SCIENCES AND ALLIED SUBJECTS
processes are they?
A. all isothermal
B. all adiabatic
C. two adiabatic and two isentropic
D. two isothermal and two isentropic
27. What is the value of A after this program segment is performed?
A= 0
DO 77 I = 1, 4
77 A= A + I
A. 4
B. 5
C. 8
D. 10
C. CaCl
D. CaCl3
Solution:
I= 0 A=0
A= A + I= 0+1 = 1
I= 2 A=1
A= A + I= 1+2 = 3
I=3 A=3
A= A + I= 3+3= 6
I=4 A=6
A= A + I= 6+4= 10
28. Formula for calcium chloride
A. CaCl2
B. Ca2Cl
29. Sec.18 (b) of Art. III of RA 7920: Examination and Registration. Qualifications of
Applicants for Registered Master Electricians, states that an applicant is at least be
___ years of age.
A. 23
B. 22
C. 21
D. 18
30. Sec. 17 (b) of Art. III of RA 7920: Examination and Registration. Qualifications of
Applicants for Registered Electrical Engineers, states that an applicant is at least be
___ years of age.
A. 21
B. 23
C. 24
D. 25
31. Find MW of HNO3 in g/mole.
A. 72
B. 61
C. 73
D. 63
Solution:
𝐻 = 1𝑥1 = 1
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REGISTERED ELECTRICAL ENGINEERS PRE-BOARD EXAMINATION
JULY 2018
ENGINEERING SCIENCES AND ALLIED SUBJECTS
𝑁 = 14 𝑥 1 = 14
𝑂3 = 16 𝑥 3 = 48
1 + 14 + 48 = 𝟔𝟑
32. What is the chemical formula of Sulfuric acid?
A. HSO4
B. H2SO4
C. H3SO2
D. HSO2
33. 1KB is how many bytes?
A. 1000
B. 1024
C. 1012
D. 1048
34. What is the unit of strain?
A. Pa
B. unit less
C. N-m
D. N-m/s
35. Which of the following is an example of an integrity violation of e-commerce
security?
A. A Website is not actually operated by the entity the customer behaves in to be
B. A merchant uses customer information in a manner not intended by the customer
C. A customer denies that he or she is the person who placed the order
D. An unauthorized person intercepts an online communication and changes
its content
36. What is the physical appearance of sodium chloride?
A. Silver metal
B. White crystal
C. Yellowish Gas
D. White metal
37. What is the oxidation number of Cr in the dichromate ion (Cr2O2)-2 ?
A. -1
B. 0
C. 2.5
D. 6
Solution:
2𝑥 + (−14) = −2
∴𝑿 = 𝟔
38. A software that is commonly known as firmware.
A. OS
B. Cache Memory C. BIOS
39. Pulverized fuel is used for
A. Better burning
B. Less radiation loss
D. IO
C. More calorific value
D. Medium sized units
40. An unknown fuel has a mass density of 805 kg/m 3. Find its specific gravity.
A. 0.805
B. 1.242
C. 1.610
D. 0.621
7
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REGISTERED ELECTRICAL ENGINEERS PRE-BOARD EXAMINATION
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
Solution:
𝑆. 𝐺 =
𝜌
𝜌𝐻2𝑂
=
805
1000
= 𝟎. 𝟖𝟎𝟓
𝒌𝒈
𝒎𝟑
41. Which of the following is a variable renewable source of energy?
A. Hydro-power
C. Biomass Energy
B. Geothermal Energy
D. Solar Energy
42. Which of the following is a conventional source of energy?
A. Coal
B. Solar
C. Wind
D. Tidal
43. In cold working of metals
A. close dimensional tolerance cannot be maintained
B. poor surface finish is obtained
C. recrystallization temperature for steel is reduced
D. strength and hardness of steel is increased
44. An object is dropped from an original height h hitting the ground with velocity v. How
much greater will speed hitting the ground be if the object is dropped from a height 4
times the original height?
D. 16 times
A. 4 times
B. 2 times
C. √2 times
Solution:
𝑉𝑓 = 𝑉𝑜 + 2𝑔ℎ
𝑉2 = 2𝑔ℎ
𝑉22
𝑣12
𝑉22
𝑣12
2𝑔 ℎ
= 2𝑔2 ℎ2
= =4
𝑉22
√
𝑉2
𝑉1
8
1 1
𝑣12
2
= √4
=2
𝑽𝟐 = 𝟐𝑽𝟏
45. An inventor clams to extract 100 kJ of energy from 30°C sea water and generate 7
kJ of heat while rejecting 93 kJ to a 10°C stratum. The scheme fails because;
8
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REGISTERED ELECTRICAL ENGINEERS PRE-BOARD EXAMINATION
JULY 2018
ENGINEERING SCIENCES AND ALLIED SUBJECTS
A. The temperature of the sea water is too low
B. It is perpetual-motion machine
C. It violates the first law
D. It violates the second law
46. The second period contains how many elements?
A. 2
B. 4
C. 6
D.8
47. An isentropic process:
A. is adiabatic and reversible
B. is reversible but may not be adiabatic
C. is adiabatic but may not be reversible
D. is always reversible
48. A driver fills an 18.9 L can with gasoline at 15.0°C right up to the top. He forgets to
replace the cap and leave the can in the back of his truck. The temperature climbs to
30.0°C by 1 PM. How much gasoline spills out of the can? Assume a coefficient of
linear expansion of steel to be 12x10-5 K-1 and the coefficient of volumetric
expansion of gasoline to be 950 x 10-6 K-1.
A. 0.62 L
B. 0.26 L
C. 0.27 L
D. 0.72 L
Solution:
49. My Johnson borrows $ 100,000 at 10% effective annual interest. He must pay back
the loam over 30 years with uniform monthly payments due on the first day of each
month. What does Mr. Johnson pay each month?
A. $839
B. $846
C. $870
D. $884
Solution:
𝑖 12
𝑖 + 1 = (1 +
)
12
𝑖 12
1.10 = (1 +
)
12
𝑖
= 0.007974
12
𝑇𝑜𝑡𝑎𝑙 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑝𝑎𝑦𝑚𝑒𝑛𝑡𝑠 = 12(30) = 360
𝐵𝑜𝑟𝑟𝑜𝑤𝑒𝑑 𝑚𝑜𝑛𝑒𝑦 = 𝐴 + 𝑃
100,000 = 𝐴 +
𝐴[(1 + 0.007974)359 − 1]
(1 + 0.007974)359 (0.007974)
𝐴 = 839
9
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REGISTERED ELECTRICAL ENGINEERS PRE-BOARD EXAMINATION
JULY 2018
ENGINEERING SCIENCES AND ALLIED SUBJECTS
50. Air has a specific heat of 1 kJ /kg-K. If BTU of energy is added to 100 g of air, what
is the change in air temperature?
A. 10.0°C
B. 21.1°C
C. 44.1°C
D. 88.2°C
Solution:
𝑄 = 𝑚𝐶𝛥𝑇
𝛥𝑇 =
𝑄
𝑚𝐶
2.11
= (0.1)(1) = 𝟐𝟏. 𝟏°ð‘ª
51. A pump has an efficiency of 65%. It is driven by a 0.75 horsepower motor. The
pump produced a pressure rise of 120 Pa in water. What is the required flow rate?
A. 3.03 m3/s
B. 4.04 m3/s
C. 4.55 m3/s
D. 4.66 m3/s
Solution:
𝑃𝑜𝑢𝑡 = 𝜂𝑃𝑖𝑛 = (0.65)(0.75 𝑥 746 ) = 363.675 𝑊
𝑃𝑜𝑢𝑡 = 𝑄𝛾ℎ 𝑏𝑢𝑡 𝛾ℎ = 𝑃
𝑃𝑜𝑢𝑡 = 𝑄𝑃
𝑄=
𝑃𝑜𝑢𝑡
𝑃
=
363.675
120
= 𝟑. 𝟎𝟑 𝒎𝟑/𝒔
52. What is the tensile load if a ½” x 4” x 12” steel tie rod experience an 80°F
temperature decrease from the no stress temperature?
A. 92,346 lb
B. 47,120 lb
C. 31,200 lb
D. 52,130 lb
Solution:
𝑁𝑜𝑡𝑒: 𝑛𝑜 𝑠𝑡𝑟𝑒𝑠𝑠 𝑑𝑢𝑒 𝑡𝑜 𝑡𝑒𝑛𝑠𝑖𝑙𝑒
𝛼 (∆𝑇) =
𝑃
𝐴𝐸
6.5𝑥10−6 (80) =
𝑷 = 𝟑𝟏, 𝟐𝟎𝟎 𝒍𝒃
1
2
𝑃
( 𝑥4)(30𝑥106 )
53. The rate of return for a ₱10,000 investment that will yield ₱ 1,000 per year for 20
years is closest to
A. 2%
B. 4%
C. 8%
D. 16%
Solution:
10
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
𝑃 = 𝐴[
(1+𝑖)𝑛 −1
𝑖(1+𝑖)𝑛
]
10,000 = 1000 [
(1+𝑖)20 −1
𝑖(1+𝑖)20
]
𝑖 = 0.0775 𝑥 100% = 𝟖%
54. The overall energy program formulated and updated yearly by the DOE and
submitted to Congress pursuant to R.A. 7638.
A. Power Development Plan (PDP) C. Philippine Electrical Code (PEC)
B. Philippine Energy Plan (PEP) D. Preliminary Project Planning Data (PPPD)
55. The work of a polytrophic (n=1.21) compression of air (Cp/Cv = 1.4) in a system with
moving boundary from P1= 15 psia, V1=1.0 cu.ft. to P2=150 psia, V2=0.15 cu.ft. is.
A. 1080 ft-lb
B. 5150 ft-lb
C. 6882 ft-lb
D. 2700 ft-lb
Solution:
𝑾=
𝑾=
𝑷 𝟐 𝑽𝟐 − 𝑷 𝟏 𝑽𝟏
𝟏−𝒏
𝟏𝟓𝟎(𝟏𝟒𝟒)(𝟎.𝟏𝟓)−(𝟏𝟓𝒙𝟏𝟒𝟒)(𝟏)
𝟏−𝟏.𝟐𝟏
𝑾 = 𝟓𝟏𝟒𝟐. 𝟖𝟔 𝒇𝒕 − 𝒍𝒃 ≈ 𝟓𝟏𝟓𝟎 𝒇𝒕 − 𝒍𝒃
56. One Newton is equivalent to
A. 105 dyne
B. 106 dyne
C. 107 dyne
57. An adiabatic process with no work done is
A. isometric
B. throttling
C. isobaric
D. 108 dyne
D. polytropic
58. Article IV Rule __________. Requirements form examination as a REE.
A. 14
B. 15
C. 16
D. 17
59. The phenomenon known as corrosion in metals is by nature
A. chemical
B. organic
C. electrochemical D. electrical
60. A force causing a rise in liquid in tubes of small diameter.
A. cohesion
B. surface tension C. capillarity
D. adhesion
61. Also known as PRC Renewal Law.
A. RA 8189
B. RA 8981
D. RA 184
C. RA 7920
62. A price tag of ₱1,200 is payable in 60 days but if paid within 30 days it will have a 3
percent discount. Find the rate of interest.
11
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REGISTERED ELECTRICAL ENGINEERS PRE-BOARD EXAMINATION
JULY 2018
ENGINEERING SCIENCES AND ALLIED SUBJECTS
A. 36.33 percent B. 36.12 percent
C. 37.66 percent
D. 37.11 percent
Solution:
𝐼 = 𝑃𝑖𝑛
(1200)(0.03) = 1200 (1 − 0.03) (𝑖) (
𝑰 = 𝟑𝟕. 𝟏𝟏 %
30
)
360
63. A projectile leaves a velocity of 50 m/s at an angle of 30 degrees with the horizontal.
Find the maximum height that it could reach.
A. 28.46 m
B. 31.86 m
C. 41.26 m
D. 51.26 m
Solution:
(𝑉𝑜𝑆𝑖𝑛𝜃)
𝐻 =
2𝑔
2
((50)(𝑆𝑖𝑛30))2
𝐻 =
2(9.81)
𝑯 = 𝟑𝟏. 𝟖𝟔 𝒎
64. The majority of the rocks in the Earth’s crust are:
A. igneous
B. metamorphic
C. Sedimentary
D. volcanic
65. The zone of the atmospheric in which weather occurs is known as the
A. ionosphere B. mesosphere
C. troposphere
D. stratosphere
66. What is another term for modulus of elasticity?
A. Bulk modulus
C. Constant of elongation
B. Shear strain
D. Young’s modulus
67. What do you call earth and stone mixed with the iron oxide?
A. Hematite
B. Magnetite
C. Grangue
D. Ore
68. Which light contains wavelengths of all or nearly colors?
A. White Light
B. Laser
C. X-ray
D.Gamma rays
69. A 10-mm diameter brass rod has a modulus of elasticity of E=100 GPa. If it is 4 m
long and subjected to an axial tensile load of 6KN, determine its elongation.
A. 3.06mm
B. 3.60m
C. 2.34mm
D. 2.43mm
12
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REGISTERED ELECTRICAL ENGINEERS PRE-BOARD EXAMINATION
JULY 2018
ENGINEERING SCIENCES AND ALLIED SUBJECTS
Solution:
𝑆 =
(6𝑥103 )(4)
𝜋
10 2
( )(
) (100𝑥109 )
4 1000
𝑺 = 𝟑. 𝟎𝟔 𝒎𝒎
70. RA 7920, Rule 2(n), defining ?
A. DECS
B. Syllabi
𝑆 =
𝜌𝐿
𝐴𝐸
C. Board
D. CHED
71. What rules are included in article V of RA 7920?
A. RULE 11 to 20
B. RULE 28 to 34 C.RULE 21 to 27
D.RULE1 to 20
72. In the case of a regenerative gas turbine engine, which of the following is false?
A. The regenerator improves the efficiency of the engine
B. The amount of energy required during combustion is less than that required in a
similar gas turbine if the power is constant.
C. The exit temperature of the regenerator is higher than the inlet temperature of the
compressor.
D. There is no heat rejected to the atmosphere in a regenerative gas turbine
engine.
73. When exposed to the atmosphere, which of the following liquids is coldest?
A. Oxygen
B. Argon
C. Nitrogen
D. Helium
74. What is the temperature rating of a TW insulated conductor?
A. 60 deg C
B. 75 deg C
C. 90 deg C
75. The brain of any computer system is
A. ALU
B. Memory
C. CPU
D. 100 deg C
D.Control Unit
76. Electrical symbol represented by a solid line
A. intercom wiring
B. telephone wiring C. conduit
D.service entrance
77. A storage system for small amounts of data is
A. magnetic card
B.magnetic tape C.Punched card D.Optical mark reader
78. The place where buyers and sellers come together
A. Market
B. Business center C.Recreation center D.Buy and sell section
79. Which is most common language used in web designing ?
A. C
B. C++
C. PHP
D. HTML
13
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REGISTERED ELECTRICAL ENGINEERS PRE-BOARD EXAMINATION
JULY 2018
ENGINEERING SCIENCES AND ALLIED SUBJECTS
80. Device used to pull wire through the conduit.
A. straps
B. fish tape
C. wire tongs
D. puller
81. Which of the following elements are stored in oil to prevent explosions?
A. Lithium
B. actinium
C. ytterbium
D.strontium
82. How long in nearest years) will it take money to quadruple if it earns 7%
compounded semi-annually?
A. 20
B. 18
C. 21
D. 19
Solution:
𝑖
𝐹 = 𝑃 (1 + )𝑚𝑛
𝐹 = 4𝑃
𝑚
4𝑃 = 𝑃 (1 +
0.07 4𝑛
)
4
𝑵 = 𝟐𝟎 𝒚𝒆𝒂𝒓𝒔
83. If P5,000 shall accumulate for 10 years at 8% quarterly, then what is the copound
interest at the end of 10 years?
A. P6,080.40
B. 6,020.40
C. P6,040.20
D. P6,060.20
Solution:
𝐼 = 𝐹– 𝑃
𝐼 = 5,000 (1 +
0.08 10(4)
)
4
𝑰 = 𝑷𝟔, 𝟎𝟒𝟎. 𝟐𝟎
− 5,000
84. A soild wooden cube , 30.0 cm on each edge, can be totally submerged in water if it
is pushed downward with a force of 54.0 N. what is the density of the wood?
A. 600 kg/m3
B. 700 kg/m3 C. 800 kg/m3
D. 900kg/m3
Solution:
𝛴 𝐹𝑦 = 0
𝑊 + 𝑇 – 𝐹𝑏 = 0
𝑊 + 𝑇 = 𝐹𝑏
𝑤 = 𝑚𝑔 , 𝐹𝑏 = ᵧ 𝑉𝑑
𝑚 (9.81) + 54 = 9.81 𝑥 103(0.3)3
𝑚 = 21.495 𝑘𝑔
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REGISTERED ELECTRICAL ENGINEERS PRE-BOARD EXAMINATION
JULY 2018
ENGINEERING SCIENCES AND ALLIED SUBJECTS
𝜌=
𝜌=
𝑚
𝑣
21.495
(0.3)3
𝝆 = 𝟕𝟗𝟔. 𝟏𝟑
𝒌𝒈
𝒎𝟑
85. An ideal gas has a volume of exactly 1 liter at 1. 00 atm and -20 degree C. To how
many atmosphers pressure must it be subjected to be compressed to 0.500 liter
when the temperature is 40 degree C?
A. 2.47 atm
B. 2.74 atm
C. 3,92 atm
D. 2.39 atm
Solution:
(𝟏)(𝟏)
𝑷 𝟏 𝑽𝟏 𝑷 𝟐 𝑽𝟐
=
𝑻𝟐
𝑻𝟏
(−𝟐𝟎+𝟐𝟕𝟑)
𝑷 (𝟎.𝟓)
𝟐
= (𝟒𝟎+𝟐𝟕𝟑)
∴ 𝑷𝟐 = 𝟐𝟕𝟎𝟎 𝒇𝒕 − 𝒍𝒃
86. For dwelling unit, the demand factor for the first 3000 volt-amperes of load is
A. 95%
B. 85%
C. 100%
D. 80%
87. Gold with 79 protons has an atomic number of
A. 52
B. 57
C. 67
D. 79
88. An Electrical Engineer shall give ______to the engineering work of the person to
whom the credit is legally due.
A. loyalty
B. advise
C. honor
D. credit
89. An establishment or a system for the production and modification of electric energy is
an _______.
A. Electric supply B. Electric system C. Substation D.Electric plant
90. Which element melts in your hand like chocolate bar?
A. krypton
B. tantalum
C. strontium
91. BCD is
A. Binary Coded Decimal
C. Binary coded digit
D. cesium
B. Bit Coded Decimal
D. Bit Coded Digit
92. Which of the following is Charle's Law?
A. V=k x 1/P
B. P1/T1=P2/T2
C. PV=mRT
D. V/T=k
15
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REGISTERED ELECTRICAL ENGINEERS PRE-BOARD EXAMINATION
JULY 2018
ENGINEERING SCIENCES AND ALLIED SUBJECTS
93. EPIRA is RA _____.
A. 184
B. 9136
C. 9163
D. 7920
94. Installations underground or in concrete slabs or masonry in direct contact with the
earth.
A. wet location B. dry location
C.damp location D.moist location
95. The continuity equation is an expression of
A. conservation of mass
C. conservation of momentum
B. conservation of energy
D.conservationof angular momentum
96. If you place your hand underneath, but not touching , a kettle of hot water, you
mainly feel the presence of heat from
A. conducting B. convection
C. radiation
D.all of these
97. a ball is thrown straight up into air,. Ignore air resistance. While the ball is in the air
its acceleration
A. Increases
B. is zero
C. remains constant
D. decreases
98. When a vapor condenses to a liquid,
A. its internal energy increases
B. its temperature rises
C. its temperature falls
D. it gives off internal energy
99. What is true about the polytropic exponent, for a perfect gas undergoing an isobaric
process?
A. n > 0
B. n < 0
C. n -->
D. n = 0
100. In molecules of the same composition, what are the variations of atomic
arrangements known as?
A. polymers
B.monomers
C. isomers
D.crystal systems
16
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REGISTERED ELECTRICAL ENGINEERS PRE-BOARD EXAMINATION
MARCH 2018
ENGINEERING SCIENCES AND ALLIED SUBJECTS
ESAS PRE-BOARD EXAM MARCH 2018
1. Maximum distance for support for rigid metallic conduits
A. 2000 mm
B. 2500 mm
C. 3000 mm
2. What is the factor (A/P, 1%,n)?
A. Uniform series present worth factor
B. Uniform series compound factor
D. 3500 mm
C. sinking fund factor
D. Capital recovery factor
3. A process in which pressure is constant.
A. Isobaric
B. Isochoric
C. Isometric
D. Isothermal
4. The present worth of all depreciation over the economic life of the item is called
A. Maintenance
C. depreciation recovery
B. capital recovery
D. annuity
5. Using an allowable shearing stress of 30 MPa, design a solid steel shaft to transmit
9kw at speed of 1200 rpm.
A. 32 mm
B. 23 mm
C. 46mm
D. 64 mm
Solution:
P=
2πNT
60
9000 =
2π(1200)(T)
60
T= 71.62 N-m
𝑇𝑠 =
16T
πD³
30000000 = =
16(71.62)
πD3
, 𝑫 = 𝟐𝟑𝒎𝒎
6. EPIRA Is RA________________.
A. 184
B. 9136
C.9163
D.7920
7. The number 1010 base 2 is equivalent to decimal number_______.
A. 6
B. 10
C. 8
D. 12
Solution:
𝟏
↓
𝟎
↓
𝟏
↓
𝟎
↓
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REGISTERED ELECTRICAL ENGINEERS PRE-BOARD EXAMINATION
MARCH 2018
ENGINEERING SCIENCES AND ALLIED SUBJECTS
𝟖
𝟒
𝟐 𝟏
∴ 8 + 2 = 𝟏𝟎
What is the value of 11101110 base 2 to base 8?
A. 356
B. 365
C. 653
D. 635
Solution:
Group by 3 numbers starting to right side
11
/
101
/
110
21
/
421
/
421 =
2+1=3
4+1 = 5
4+2 =6
Therefore 356
8. An asset is purchased for P 120,000,00. Its estimated life is 10 years, after which it
will be sold for P 12,000,00. Find the depreciation for the second year using SOYD
method.
A. P 17,673
B. 17,637
C. P 18,236
D.18, 326
Solution:
𝑑𝑒𝑝𝑟𝑒𝑐𝑖𝑎𝑡𝑖𝑜𝑛 = 𝐹𝐶 − 𝑆𝑉 (
𝑅𝑒𝑣𝑒𝑟𝑠𝑒 𝐷𝑖𝑔𝑖𝑡𝑠
)
𝑆𝑢𝑚 𝑜𝑓 𝑡ℎ𝑒 𝐷𝑖𝑔𝑖𝑡𝑠
𝑑𝑒𝑝𝑟𝑒𝑐𝑖𝑎𝑡𝑜𝑛 = 120000 – 12000 (
10 − 2 + 1
)
55
𝒅𝒆𝒑𝒓𝒆𝒄𝒊𝒂𝒕𝒊𝒐𝒏 = 𝟏𝟕𝟔𝟕𝟐. 𝟕𝟑 = 𝟏𝟕𝟔𝟕𝟑
9. A student will receive P 3,000 at the beginning of each 3 months for 4 years. What is
the sum of this annuity of the end of the 4th year if the interest rate is 6%
compounded quarterly?
A.
P 45,604
B. P 54,604
C. P 64.620
D. P 46, 690
Solution:
∑16
1 3000 (1 +
0.06
4
𝑥
) = 𝟓𝟒𝟔𝟎𝟒
18
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REGISTERED ELECTRICAL ENGINEERS PRE-BOARD EXAMINATION
MARCH 2018
ENGINEERING SCIENCES AND ALLIED SUBJECTS
11. A wire or cable carrying current, supported by poles, tower and other structure, but
not including vertical or lateral connecting wires.
A. Transmission line B. Line conductor C. Conductor D. Lateral conductor
12. According to RA. 7920 the members of the BSEE shall hold office for a term of
_______ years from the date of appointment or until their successors shall have
been appointed and qualified.
A. 6
B. 4
C.3
D. 5
13. A equipment cost P10,000 with a salvage value of P500 at the end of 10 years.
Calculate the annual depreciation cost by sinking fund method at 4% interest.
A. 791.26
B. 729.28
C. 854.62
D. 896.48
Solution:
d=
(𝐶𝑜−𝑆𝑉)(𝑖)
(1+𝑖)2 −1
𝑑=
(10000−500).04)
(1+.04)2 −1
𝐝 = 𝟕𝟗𝟏. 𝟐𝟔
14. When a part is constrained to move when heated, ot develops
A. Principal stress B. Tensile stress C. Compressive stress D. Shear stress
15. Newton's first law is often referred to as which of the following?
A. The law of straight-line motion
C. The law of inertia
B. The law of momentum
D. F = ma
16. The object that has momentum must also have
A. Acceleration B. Impulse C. Kinetic Energy
D. Potential Energy
17. The maximum strain energy stored in a body without permanent deformation is
known as
A. Impact energy
C. Resilience
B. Proof resilience
D. Modulus of Resilience
18. A surveyors steel tape with a cross sectional area of 2.5 sq. mm must be stretched
with a pull of 70 N when n use. If the modulus of elasticity of the steel is 207 GPa.
What is the elongation in the 30 m tape?
19
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REGISTERED ELECTRICAL ENGINEERS PRE-BOARD EXAMINATION
MARCH 2018
ENGINEERING SCIENCES AND ALLIED SUBJECTS
B. 6.40 mm
A. 4.06 mm
C. 3.02 mm
D. 2.30 mm
Solution:
È£=
PL
𝐴𝐸
È£=
(70)(30)
(2.5)(1/1000)2(207x109)
È£ = 4.06 mm
19. The phenomenon of melting under pressure and freezing again when the pressure is
reduced is known as
A. Sublimation B. Condensation C. Deposition
D. Regelation
20. Falling drops of water become spherical due to
A. Capellarity
B. Viscosity
C. Surface tension D. Compressibility
21. A tank contains oil sp. gr = 0.80, gasoline sp. gr = 0.90 and seawater sp. gr = 1.03. If
the depths of the liquids are 0.5m, 0.8m, and 1m for oil, gasoline and sea water,
respectively. Find the pressure at a depth of 1.8m.
A. 21.092 kPa
C. 16.04 kPa
B. 10.104 kPa
D. 18.86 kPa
Solution:
P = pgh
𝑃 = 0.8(998)(0.5)(9.8) + 0.9(998)(0.8)(9.8) + 1.03(998)(0.5)(9.8)
𝑷 = 𝟏𝟔. 𝟎𝟒 𝒌𝑷𝒂
22. A pressure gage measure 50 kPa vacuum in a system. What is the absolute
pressure, if the atmospheric pressure is 101 kPa?
A. 51,000
C. 53,000
B. 52,000
D. 55,000
Solution:
𝑃𝑎𝑏𝑠 = 𝑃𝑎𝑡𝑚 − 𝑃𝑣𝑎𝑐𝑢𝑢𝑚
= 101𝑘𝑃𝑎 − 50𝑘𝑃𝑎
= 𝟓𝟏, 𝟎𝟎𝟎 𝑷𝒂
23. Which of the following engines is less efficient?
A. gas turbine B. diesel engine
C. Carnot engine
D. gasoline engine
20
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REGISTERED ELECTRICAL ENGINEERS PRE-BOARD EXAMINATION
MARCH 2018
ENGINEERING SCIENCES AND ALLIED SUBJECTS
24. A steel rod of circular cross-section is to carry a tensile load of 30,000 lbs. The
allowable working stress in shear for the rod is 8,000 psi. Find the required diameter
for the rod.
A. 1.093 in
C. 2.185 in
B. 3.09 in
D. 1.545 in
Solution:
𝑷
𝑨
30000
=𝜋
(𝑑 2 )
4
𝒅 = 𝟐. 𝟏𝟖𝟓 𝒊𝒏
𝝈=
25. A bar under tension is called a
A. strut
B. beam
C. shaft
D. tie
26. A man paid a 10% down payment of P2,000,000 for a house and lot and agreed to
pay the balance on monthly installments for 5 years at an interests rate of 15%
compounded monthly. What is the monthly installment in pesos?
A. 44,528.34
B. 42,821.87
C. 43,625.92
D. 45,365.78
Solution:
𝑃 = 2,000,000 − 200,000
A[(1 + i)n − 1]
P=
(1 + 𝑖)𝑛 − 1
1,800,000 =
A [(1 +
(1 +
𝑨 = 𝟒𝟐, 𝟖𝟐𝟏. 𝟖𝟕
0.15 5(12)
− 1]
12 )
0.15 5(12) 0.15
)
)
(
12
12
27. Conductors from the service point to the service disconnecting means
A. Feeder
B. Service Lateral C. Service Conductor
D. Branch Circuit
28. A market situation where there are few sellers and few buyers
A. oligopoly
C. bilateral oligopoly
B. oligopsony
D. bilateral oligopsony
21
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REGISTERED ELECTRICAL ENGINEERS PRE-BOARD EXAMINATION
MARCH 2018
ENGINEERING SCIENCES AND ALLIED SUBJECTS
29. When a sound wave goes from air to water, the quantity that remains unchanged is
it’s
A. speed
B. amplitude
C. frequency
D. wavelength
30. The index of refraction of benzene is 1.5. The speed of light in benzene is
A. 1.5 x 10^8 m/s
B. 2 x 10^8 m/s
C. 3 x 10^8 m/s
D. 4.5 x 10^8 m/s
Solution:
𝑐
𝑛
3𝑥108
=
1.5
𝒗 = 𝟐𝒙𝟏𝟎𝟖 𝒎/𝒔
𝑣=
31. In how many years will P100 000earned as compound interest of P50 000 if the
interest rate is 9% compounded quarterly?
A. 3.5
B. 4.5
C. 5.56
D. 2.11
Solution:
50000 = 100000 (1 + (0.09)(𝑁))
∴ 𝟒. 𝟓𝟓
32. A fluid said to be ideal if it is
A. incompressible
B. inviscous
C. viscous and incompressible
D. inviscous and incompressible
33. The current in ampere that the conductor can carry continuously under the
conductor of use without exceeding its temperature rating.
A. Maximum current
C. Ampacity
B. Continous current
D. Rated Current
34. A farmer selling eggs 50 pesos a dozen gain 20%. If he sell the eggs at the same
price after the cost of the eggs by 12.5%. How much his new gain in percent?
A. 6.89
B. 6.67
C. 6.58
D. 6.12
Solution:
50 = 𝑋 𝑥 0.20 = 250
250 𝑥 0.125 = 31
(50 −31)
= 𝟔. 𝟏𝟐
31
35. A loan of P5000 is made for a period of 15 months, at a simple interest of 15%, what
future amount is due at the end of the loan period?
A. P5937.5
B. P5870.3
C. P5712.40
D. P5690.12
22
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REGISTERED ELECTRICAL ENGINEERS PRE-BOARD EXAMINATION
MARCH 2018
ENGINEERING SCIENCES AND ALLIED SUBJECTS
Solution:
𝐹 = 𝑃(1 + 𝑛𝑖)
15
𝐹 = 5000(1 + ( )(0.15)
12
𝑭 = 𝟓𝟗𝟑𝟕. 𝟓
36. Mr. Bacani borrowed money from the bank. He received from the bank P1842 and
promise to repay P2000 at the end of 10mos, determine the rate of simple interest.
A. 12.19%
B. 12.03%
C. 11.54%
D. 10.29
Solution:
𝐹 = 𝑃(1 + 𝑛𝑖)
10
2000 = 1842(1 + ( )(𝑖)
12
𝑰 = 𝟏𝟎. 𝟐𝟗
37. What rate of interest compound annually is the same as the rate of interest of 8%
compounded quarterly?
A. 8.07%
B. 8.12%
C. 8.16%
D. 8.24%
Solution:
𝑟
(1 + 2) 2 − 1 = (1 +
0.06 4
)
4
−1
∴ 𝟖. 𝟐𝟒%
38. The second period contains how many elements?
A. 2
B. 4
C. 6
D. 8
39. Mercury carnot wet a glass tube, this due to
A. cohesion
B. Adhesion
C. Surface tension D. viscosity
40. An amount of P1000 becomes P1608.44 after 4years compounded bimonthly. Find
the nominal rate.
A. 11.69%
B. 12.00%
C. 12.08%
D. 12.32
Solution:
4
1608.44 = 1000 (1 + (𝑟/( ))0.91
60
∴ 𝟏𝟏. 𝟖𝟗%
41. What is the shortcut key to reach the end of the document?
A. End
B. Ctrl + End
C. Shift + End
D. Home
23
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REGISTERED ELECTRICAL ENGINEERS PRE-BOARD EXAMINATION
MARCH 2018
ENGINEERING SCIENCES AND ALLIED SUBJECTS
42. What refers to a system in which there is flow of mass across its boundaries?
A. Open system
B. Closed system
C. Isolated system
D. Steady flow system
43. A rubber ball is dropped from a height of 2 m. if there is no loss of velocity after
rebounding, the ball will rise to a height of
A. 2 m
B. 1 m
C. 3 m
D. 4 m
44. Device that takes data from user and convert it into form that can be easily
understandable by computer is
A. storage device
B. output device
C. input device
D. pointing device
45. How long will it take money to double itself if invested at 5% compounded annually?
A. 13.7 years B. 14.7 years
C. 14.2 years
D.15.3 years
Solution:
𝐹 = 𝑃(1 + 𝑖)𝑛
𝑇𝑜 𝑑𝑜𝑢𝑏𝑙𝑒 𝑡ℎ𝑒 𝑚𝑜𝑛𝑒𝑦, 𝐹 = 2𝑃
2𝑃 = 𝑃 (1 + 𝑖)𝑛
2 = (1 + 0.05)𝑛
𝑇𝑎𝑘𝑒 𝑙𝑜𝑔 𝑜𝑛 𝑏𝑜𝑡ℎ 𝑠𝑖𝑑𝑒𝑠
log 2 = 𝑛 log 1.05
log 2
𝑛=
log 1.05
𝒏 = 𝟏𝟒. 𝟐 𝒚𝒆𝒂𝒓𝒔
46. If a computer in a network accesses resources that are shared by other computers it
is called a
A. server
B. client
C. receiver
D. sender
47. What annuity is required over 12 years to equate with a future amount of P20, 000?
Assume i = 6% annually
A. P1, 290.34
B. P1, 185.54
C. P1, 107.34
D. P1, 205.74
Solution:
𝐹=𝐴 [
(𝟏+𝒊)𝒏 −𝟏
𝒊
]
(1+0.06)12 −1
20,000 = 𝐴 [
𝑨 = 𝑷𝟏, 𝟏𝟖𝟓. 𝟓𝟒
0.06
]
24
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REGISTERED ELECTRICAL ENGINEERS PRE-BOARD EXAMINATION
MARCH 2018
ENGINEERING SCIENCES AND ALLIED SUBJECTS
48. A baseball is thrown in a horizontal plane following a parabolic path with an initial
velocity of 100 m/s at an angle 30° above horizontal. Solve the distance from the
throwing point that the ball attains its original level.
A. 890 m
B. 883 m
C. 858 m
D. 820 m
Solution:
2𝑉 sin 𝜃
)
𝑔
2(100)(sin 30)
= (cos 30) (
) = 𝟖𝟖𝟐. 𝟕 𝒐𝒓 𝟖𝟖𝟑 𝒎
𝑅 = (cos 𝜃) (
𝟗.𝟖𝟏
49. The property of a fluid which enables it to resist tensile stress is known as
A. compressibility
B. surface tension
C. cohesion
D. adhesion
50. The ratio of the lateral strain to the linear strains is
A. modulus elasticity
B. modulus of rigidity
C. bulk modulus
D. Poisson’s ratio
51. A uniform series payment occurring at equal interval of time is called
A. Annuity
B. Amortization
C. Depreciation
D. Bond
52. A train whose speed is 60 mph rounds a curve whose radius of curvature is 484 ft.
What is its acceleration?
A. 12 ft/sec 2
B. 𝟏𝟔 𝐟𝐭/𝐬𝐞𝐜 𝟐
C. 14 ft/sec 2
D. 10 ft/sec 2
Solution:
1.61 𝑘𝑚
1000 𝑚
3.28 𝑓𝑡
1 ℎ𝑜𝑢𝑟
𝑓𝑡
𝑣 = 60 𝑚𝑖𝑙𝑒𝑠⁄ℎ𝑜𝑢𝑟 × 1 𝑚 ×
×
×
= 88.013 ⁄𝑠𝑒𝑐
1 𝑘𝑚
1𝑚
3600 𝑠𝑒𝑐𝑠
𝑓𝑡
(88.013 )2
2
𝒇𝒕
𝑠𝑒𝑐 ⁄
𝑎 = 𝑣 ⁄𝑟 =
484 𝑓𝑡 = 1𝟔 ⁄𝒔𝒆𝒄𝟐
53. The process of diffusion into the other through a semi-permeable membrane is
called
A. viscosity
B. osmosis
C. surface tension
D. diffusivity
54. What refers to the need, want or desire for a product backed by the money to
purchase it?
A. Supply
B. Demand
C. Product
D. Good
55. Is the worth of property as shown in the accounting records
A. Scrap Value B. Book Value
C. Fair Value
D. Use Value
56. How much should you put into a 7.9% savings account in order to have $175,000 in
63 years?
A. $1,541.55
B. $1,454.41
C. $1,342.21
D. $1,356.32
25
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
Solution:
𝑃=
𝐹
(1+𝑖)𝑛
=
175,000
(1+0.079)63
= $𝟏, 𝟒𝟓𝟒. 𝟒𝟏
57. The branch of mechanics that deals with bodies in motions is known as
A. statics
B. dynamics
C. kinetics
D. kinematics
58. An escalator raises a 100 kg bucket of sand in 10 m in 1 minute. Determine the total
amount of work done during the process.
A. 9800 J
B. 32200 J
C. 102 J
D. 98 J
Solution:
1𝑘𝑔 = 9.81 𝑁𝑒𝑤𝑡𝑜𝑛
100 𝑘𝑔 × 9.8 𝑁 × 10 𝑚 = 𝟗𝟖𝟎𝟎 𝑱
59. The energy absorbed in a body, when it is strained within the elastic limits, is known
as
A. Strain energy B. Resilience C. Proof resilience
D. Modulus of resilience
60. A side (2 in.) of a square bar is loaded in tension by a force of 12 kips. Determine
the normal stress in ksi in the square bar.
A. 5.5
B. 6
C. 2.6
D. 3
Solution:
𝑏 = 2 𝑖𝑛
𝐹 = 12 𝑘𝑖𝑝𝑠
𝐹
12
𝑆 = =
= 𝟑 𝒌𝒔𝒊
𝐴
2×2
61. The simple mathematical statement of the relationship between elastic stress and
strain stress is proportional to strain. What is this law?
A. Boyle′ s law B. 𝐇𝐨𝐨𝐤𝐞′ 𝐬 𝐥𝐚𝐰
C. Charles′ s law
D. Gas law
62. The first law of Thermodynamics is based on which of the following principles?
A. Conservation of mass
B. 𝐂𝐨𝐧𝐬𝐞𝐫𝐯𝐚𝐭𝐢𝐨𝐧 𝐨𝐟 𝐞𝐧𝐞𝐫𝐠𝐲
C. Action and reaction
D.The entropy − temperature relationship
63. Stationary waves are also called
A. static waves
B. 𝐬𝐭𝐚𝐧𝐝𝐢𝐧𝐠 𝐰𝐚𝐯𝐞𝐬
C. progressive waves
D.all of these
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
64. Top of window which displays program’s name consist of
A. menu bar
B. thumbnail
C. dialog box
D. title bar
65. A quantity of gas occupies 1.2 cu. Ft. at STP. The gas is allowed to expand to 1.5
cu. Ft. and at 15 psia. What is the new temperature?
A. 700 deg R
B. 627.6 deg R
C. 640 deg R
D. 590 deg R
Solution:
𝑃1 𝑉1 𝑃2 𝑉2
=
𝑇2
𝑇1
@ 𝑆𝑇𝑃
𝑇 = 0℃ = 32℉ = 492°ð‘…
𝑃 = 1 𝑎𝑡𝑚 = 14.7 𝑝𝑠𝑖
14.7 𝑝𝑠𝑖 15 𝑝𝑠𝑖 (1.5𝑓𝑡 3 )
=
𝑇2
492°ð‘…
𝑻𝟐 = 𝟔𝟐𝟕. 𝟔 °ð‘¹
66. What is force per unit area?
A. work
B. energy
C. 𝐩𝐫𝐞𝐬𝐬𝐮𝐫𝐞
D. power
67. In a hydraulic press, the small cylinder has a diameter of 8 cm, while the larger
piston has a diameter of 22 cm. If a force of 600 N is applied t the small piston, what
is the force on the larger piston neglecting friction?
A. 3.5 kN
B. 4.5 kN
C. 5.5 kN
D. 6.6 Kn
Solution:
𝐹
Ρ=
𝐴
𝜋𝒹 2
A=
4
𝑃𝑆 = 𝑃𝐿
𝐹𝑆
𝐴𝑆
𝐹
= 𝐴𝐿
𝐿
𝐹𝐿
=
𝜋
𝜋
(80 ∗ 80)
(22 ∗ 22)
4
4
600 𝑁
𝐹𝐿 = 𝟒. 𝟓𝐤𝐍
68. Which of the following metallic element has a meaning “heavy stone”?
A. Titanium
B. Iron
C. Cobalt
D. Tungsten
27
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MARCH 2018
ENGINEERING SCIENCES AND ALLIED SUBJECTS
69. Formula for Calcium chloride.
A. CaCl2
B. Ca2Cl
C. CaCl
70. What is the principle behind fiber optics?
A. Reflection B. Refraction
C. Diffraction
D. CaCl3
D. Dispersion
71. When work done in moving a particle round a closed loop in a field is zero, forces in
field are called
A. Zero forces
B. Non-conservative forces
C. Conservative forces
D. Viscous forces
72. What is the critical angle, in degree, of the incidence for a ray of light passing from
the glass into water? Assume index of refraction for glass = 1.54 and index of
refraction of water = 1.33
A. 59.7
B. 45.8
C. 67.4
D. 50.9
Solution:
𝑛𝑔𝑙𝑎𝑠𝑠 sin 𝜃𝑔𝑙𝑎𝑠𝑠 = 𝑛𝑤𝑎𝑡𝑒𝑟 sin 𝜃𝑤𝑎𝑡𝑒𝑟
𝑡𝑜 𝑠𝑜𝑙𝑣𝑒 𝑓𝑜𝑟 𝑡ℎ𝑒 𝑐𝑟𝑖𝑡𝑖𝑐𝑎𝑙 𝑎𝑛𝑔𝑙𝑒 ( 𝜃𝑔𝑙𝑎𝑠𝑠 → 𝜃𝑐𝑟𝑖𝑡𝑖𝑐𝑎𝑙 )𝑡ℎ𝑒𝑛; 𝜃𝑤𝑎𝑡𝑒𝑟 = 90°
𝑛𝑤𝑎𝑡𝑒𝑟
sin 𝜃𝑐𝑟𝑖𝑡𝑖𝑐𝑎𝑙 =
(sin 𝜃𝑤𝑎𝑡𝑒𝑟 )
𝑛𝑔𝑙𝑎𝑠𝑠
1.33
(sin 90)
sin 𝜃𝑐𝑟𝑖𝑡𝑖𝑐𝑎𝑙 =
1.54
𝜽𝒄𝒓𝒊𝒕𝒊𝒄𝒂𝒍 = 𝟓𝟗. 𝟕 °
73. How much oxygen is required to convert 11.24 g of cadmium to 12.84 g cadmium
oxide?
A. 1.06 g
B. 1.60 g
C. 42.06 g
D. 24.08 g
Solution:
12.84 𝑔 𝐶𝑑𝑂
−11.24 𝑔 𝐶𝑑
∴ 𝟏. 𝟔𝟎 𝒈 𝑶
74. An archer aims his bow upwards and pulls the string of his arrow with a force of 80N.
The strings make an angle of 25 degrees with vertical. Find the tension in the string
A. 88 N
B. 44 N
C. 22 N
D. 33 N
Solution:
2 (𝑇) cos 𝜃 = 𝑇1
2 (𝑇) cos 25 = 80 𝑁
𝑻 = 𝟒𝟒. 𝟏𝟑 ≅ 𝟒𝟒 𝑵
28
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REGISTERED ELECTRICAL ENGINEERS PRE-BOARD EXAMINATION
MARCH 2018
ENGINEERING SCIENCES AND ALLIED SUBJECTS
75. Which of the following is used in thermal power plant?
A. Brayton Cycle
B. Reversed Carnot Cycle
C. Rankine Cycle
D. Otto Cycle
76. It requires Q of the heat to make a cup of coffee. How much energy is needed to
make 3 cups of coffee?
A. 3 Q
B. 2 Q
C. Q
D. 4 Q
77. For shear stress, What is the constant of proportionality?
A. Shark Modulus
B. Shape Modulus C. Shear Modulus D. Shout Modulus
78. While Young’s Modulus ‘E’ relates to change in length and bulk modulus ‘K’ relates
to change in volume modulus of rigidity ‘G’ relates to change in
A. Weight
B. density
C. shape
D. temperature
79. What do you call a framework composed of members joined at their ends to form a
rigid structure?
A. Machine
B. Truss
C. Joist
D. Purlin
80. If a 1/3 hp pump runs for 20 minutes, What is the energy used?
A. 0.06 ergs
B. 0.25KN
C. 0.30 MJ
D. 0.11 kWhr
Solution:
1
𝐺𝑖𝑣𝑒𝑛: 𝑃 = 𝐻𝑃 , 𝑡 = 20 𝑚𝑖𝑛𝑢𝑡𝑒𝑠
3
746 𝑤𝑎𝑡𝑡𝑠
60 𝑠𝑒𝑐
1
) (20 min 𝑥
)
𝑊 = 𝑃𝑡 = ( 𝐻𝑝 𝑥
1 ℎ𝑝
1 𝑚𝑖𝑛
3
𝑾 = 𝟎. 𝟐𝟗𝟖𝟑 𝑴𝑱 ≅ 𝟎. 𝟑𝟎 𝑴𝑱
81. Car travelled 20 m/s south in 3 min, 25 m/s east in 2 min and 30 m/s northeast in 1
min. Find the average speed in 6 min.
A. 15.31 m/s
B. 13.51 m/s C. 32.33 m/s
D. 23.33 m/s
Solution:
distance travelled
time elapsed
(20)(3)(60) + (25)(2)(60) + (30)(1)(60)
Average speed =
= 𝟐𝟑. 𝟑𝟑 𝐦/𝐬
(6)(60)
Average speed =
82. Car travelled 20 m/s south in 3 min, 25 m/s east in 2 min and 30 m/s northeast in 1
min. Find the average velocity in 6 min.
A. 15.31 m/s
B. 13.51 m/s
C. 32.33 m/s
D. 23.33 m/s
29
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REGISTERED ELECTRICAL ENGINEERS PRE-BOARD EXAMINATION
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
Solution:
displacement
time elapsed
√(3600 − 1800cos45)2 + (3000 + 1800cos45)2
Average speed =
= 𝟏𝟑. 𝟓𝟏 𝐦/𝐬
(6)(60)
Average velocity =
83. It is the sum of the internal energy and PV.
A. entropy
B. enthalpy
C. energy
D. Electric field
84. Two sky divers jump at the same time and want to play catch. Where should one
aim if he wants the other to catch it?
A. below
B. above because balls falls faster
C. Above because ball falls slower
D. Straight because there’s no air resistance
85. The temperature when water vapour of the air begins to condense.
A. boiling point B. Freezing point C. Critical point
D.dew point
86. What is the temperature rating of THHN Insulation?
A. 60 deg C
B. 90 deg C
C. 85 deg C
D. 75 deg C
87. An aluminum tube (G=28 GPa) has an outer diameter of 100 mm and an inner
diameter of 50 mm. When twisted by a torque T, the tube develops a maximum
shearing strain of 650 x 10^-6. What is the magnitude of the applied torque T?
A. 4250 N-m
B. 4900 N-m
C. 3350 N-m
D. 3800 N-m
Solution:
𝜏=
𝜀=
16 𝑇𝐷
(𝐷 4 −𝑑4 )𝜋
𝛾
𝐺
; 𝛾 = (6.50 𝑥10−6 )(28 𝑥109 ) = 18. 2 𝑀𝑃𝑎
100
)
1000
18. 2 𝑀𝑃𝑎 =
50 4
100 4
) −(
)
𝜋(
1000
1000
16 𝑇 (
∴ 𝑻 = 𝟑𝟑𝟓𝟎 𝑵 − 𝒎
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REGISTERED ELECTRICAL ENGINEERS PRE-BOARD EXAMINATION
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
88. Which of the following is spreadsheet software?
A. Microsoft word B. Notepad C. Microsoft excel D. PowerPoint
89. ________ is a way of writing the operating code so they may be easily translated
into machine code or direct computer instruction.
A. basic language
B. Fortran
C. Pascal
D. Assembly language
90. In a manometer, the pressure is measured by balancing it by
A. spring weight
B. Dead weight
C. Column of liquid
D. Leverage pressure
91. A square steel bar is 2 inches on a side and 10 inches long. It is loaded by an axial
tensile force of 40,000 lb. If E = 30 x 10 6 psi and µ= 0.3, determine the change of
volume per unit volume.
A. 0.000133
B. 0.00133
C. 0.000122
D. 0.00122
Solution:
𝚫𝑽
𝐕
𝚫𝑽
𝐕
=
=
𝑷
𝑨𝑬
(𝟏 − 𝟐𝝁)
40,000
22 (30𝑥106 )
(1 − 2(0.3))
∴
𝚫𝑽
= 𝟎. 𝟎𝟎𝟎𝟏𝟑𝟑
𝐕
92. A solid cube of aluminum is 2.00 cm on each edge. The density of aluminum is 2700
kg/cu. m. Find the mass of the cube.
A. 26.1 g
B. 21.5 g
C. 32.4 g
D. 34.2 g
Solution:
ρ=
𝑚
𝑣
; Vcube = 0.023 = 8 x 10-6 m3
m = ρv = (2700
𝑘𝑔
𝑐𝑢.𝑚.
) (8 x 10-6 m3) = 0.0216 kg (1000g/kg) = 21.5 g
93. Which of the follow impurity in cast iron makes it hard and brittle?
A. Silicon
B. Sulfur
C. Manganese
D. Phosphorus
94. The property of a material by virtue of which it can be beaten or rated into plates is
called
31
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REGISTERED ELECTRICAL ENGINEERS PRE-BOARD EXAMINATION
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
A. Malleability B. Ductility
C. Plasticity
D. Elasticity
95. The temperature of a body is 50 deg F. Find the temperarture in K
A. 10
B. 263
C. 283
D. 510
Solution:
5
5
˚C = (F -32) = (50 – 32) = 10 ˚C
9
9
K = ˚C + 273 = 263 K
96. The coefficient of static friction for steel on ice is 0.1. The force needed to set 70-kg
skater in motion is
A. 0.1 N
B. 0.7 N
C. 7 N
D. 70 N
Solution:
F = µW = (0.1) (70kg) = 7 N
97. What is the term used to describe the moving of software from another computer to
your own computer?
A. Surfing
B. Downloading C. Uploading
D. Accessing
98. At what point is the applied force minimal in opening hinge door?
A. near the hinge
B. farthest the hinge
C. at the center
99. The colour of stars depend on
A. distance
B. temperature
100.
C. atmospheric pressure
D. anywhere
D. pollutants of air
Which device is used to measure the wavelength of X-rays?
A. Framing square
C. Manometer
B. Spectrometer
D. SWR meter
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REGISTERED ELECTRICAL ENGINEERS PRE-BOARD EXAMINATION
AUGUST 2017
ENGINEERING SCIENCES AND ALLIED SUBJECTS
ESAS PRE-BOARD EXAM AUGUST 2017
1. The thermodynamics statement of the conservation of energy of a system is the
A. first law
B. second law
C. third law D. zeroth law
2. For REE board examination, the passing general average is _____ provided there is
no grade below _____ in any of the subjects.
A. 75 percent, 50 percent
C. 70 percent, 50 percent
B. 75 percent, 60 percent
D. 70 percent, 60 percent
3. Sec. 23 of Art III of RA 7920 Issuance of Certificate of Registration. The professional
is required to renew license every _____ years upon payment of registration fees.
A. 1
B. 2
C. 3
D. 4
4. Find the amount of P30,000 at 6 percent simple interest after 5 years.
Solution:
𝐹 = 𝑃 (1 + 𝑖𝑛)
𝐹 = 30,000[1 + 0.06(5)] = 𝟑𝟗, 𝟎𝟎𝟎
5. What is the shortcut key to reach the end of the document?
A. End
B. Ctrl+End
C. Shift+End
D.Home
6. According to RA 7920 the members of the BEE shall hold office for a term of ____
years from the date of appointment or until their successors shall have been
appointed or qualified.
A. 6
B. 4
C. 3
D. 5
7. What refers to a system in which there is flow of mass across its boundaries?
A. Open System
C. Isolated system
B. Closed system
D. Steady flow system
8. BIOS stands for
A. Basic Input Output Society
B. Basic Input Output System
C. Base Input Output Society
D. Base Input Output System
9. An investment of $350,000 is made to be allowed by payments of $200,000 each
year for three years. What is the annual rate of return on investment for this
payment?
Solution:
𝑃 = 𝐴(
1−(1+𝑖)−𝑛
𝑖
)
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REGISTERED ELECTRICAL ENGINEERS PRE-BOARD EXAMINATION
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
350,000 = 200,000 (
𝒊 = 𝟑𝟐. 𝟕 %
1−(1+𝑖)−3
𝑖
)
10. What device is used to measure fluid velocity as well the velocity of fluid inside a
pipe?
A. Barometer
B. Hydrometer
C. Pilot tube
D. Pilot tube
11. Bernouli’s equation is an expression of
A. conversation of mass
B. conversation of energy
C. conservation of momentum
D. conservation of mass and energy
12. Motors must be labelled with the following nameplate rating, manufacturer’s name
and etc. This is:
A. manufacturing rule
C. wiring design rule
B. construction rule
D. Installation rule
13. A bar of uniform cross section is subject to uniaxial tension and develops a strain in
the direction of the force 1/800. Calculate the change of volume per unit volume.
Assume u = 1/3.
Solution:
≜𝑉
𝑣
≜𝑽
𝒗
𝑃
=
𝐴𝐸
=
𝟐𝟒𝟎𝟎
𝟏
( 1 − 2𝑢) ;
≜𝑉
𝑣
𝑃
𝐴
1
=𝑆
1
= 800 (1 − 2 (3))
𝑻𝒆𝒏𝒔𝒊𝒐𝒏 𝑫𝒆𝒄𝒓𝒆𝒂𝒔𝒊𝒏𝒈
14. Partially protected locations under canopies, marquees, roofed open porches, and
like locations, and interior locations subject to moderate degrees of moisture.
A. Wet location B. Dry location
C. Damp location D. Moist location
15. What is the minimum age for a person to become a member of the Board of
Electrical Engineering?
A. 30
B. 35
C. 40
D. 45
16. The president of an engineering firm wishes to give each of his 50 employees a
holiday bonus of P10,000. How much should he invest monthly for a year at 12
percent nominal interest rate to be able to give that bonus?
Solution:
𝑃 = 𝐴(
50(10000) = 𝐴 (
1−(1+𝑖)−𝑛
𝑖
) (1 + 𝑖)−𝑚
0.12 −12
)
12
0.12
12
1−(1+
)(1 +
0.12 −12
)
12
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
𝑨 = 𝟑𝟗, 𝟒𝟐𝟒. 𝟑𝟗
17. When an object exerts a force on another object, the second object exerts on the
first a force of the same magnitude but in the opposite direction. This law is known
as:
A. Newton’s First law of Motion
C. Equipment Grounding Conductor
B. Newton’s Second law of Motion D. Grounding Electrode Conductor
18. A system or circuit conductor that is intentionally grounded.
A. Grounded Conductor
C. Equipment Grounding Conductor
B. Grounding Conductor
D. Grounding Electrode Conductor
19. Fastest internet connection for home users nowadays.
A. DSL B. Dial-up
C. FTTH
D. Broadband wireless
20. Which of these elements has the highest atomic numbers?
A. Titanium
B. Uranium C. Radium D. Plutonium
21. Concurrent forces are those forces whose line of action
A. meet at one point
C. meet on the same plane
B. lie on the same line
D. none of these
22. A couple produces
A. combined translator and rotational motion
B. rotational motion
C. translator motion
D. none of these
23. The rate of doing work is known as
A. Power B. potential energy C. kinetic energy
D. none of these
24. A rubber ball is dropped from a height of 2m. If there is no loss of velocity after
rebounding, the ball will rise to a height of
Solution:
Velocity = Constant
ℎ0 = ℎ𝑓
∴ 𝟐𝒎
25. The condition of equilibrium or motion of a rigid body remains unchanged if a force
acting at a given point of the rigid body is replaced by a force of same magnitude
and direction, but acting at a different point provided that the two force have same
line of action. This statement is known as _____________.
35
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A. PappusProspositions
B. Principle of Transmissibility
C. Parallelogram Law
D. Varignon’s Theorem
26. A baseball is thrown in horizontal plane following a parabolic path with an initial
velocity of 100 m/s at an angle 30 deg. above horizontal. Solve the distance from the
throwing point that the ball attains its original level.
Solution:
𝑚
𝑉𝑜 = 100
𝜃𝑜 = 30𝑜
𝑠
(100)2 𝑠𝑖𝑛(2𝑥30)
𝑉𝑜 2 𝑠𝑖𝑛Ѳ𝑜
=
= 𝟖𝟖𝟑𝒎
𝑅 =
9.81
𝑔
27. The property of a material which allows it to be drawn into a smaller section is called
A. Plasticity
B. Ductility
C. Elasticity
D. Malleability
28. When a body is subjected to three mutually perpendicular stresses, of equal
intensity, the ratio of direct stress to the corresponding volumetric strain is known as
A. Young’s modulus
C. Bulk Modulus
B. Modulus of Rigidity
D. Poisson’s ratio
29. A diagram which show the variations of the axial for all sections of the span of a
beam, is called
A. Bending moment diagram
C. Thrust diagram
B. Shear force diagram
D. Stress diagram
30. The ratio of the lateral strain to the linear strains is
A. modulus of elasticity
C. bulk modulus
B. modulus of rigidity
D. Poisson’s ratio
31. What is an annuity?
A. the future worth of a present amount
B. an annual repayment of a clan
C. a series of uniform amounts over a period of time
D. the present, worth of a future amount
32. Which of the following closely related to d’Alembert’s theorem?
A. Newton’s first law of motion
C. Newton’s third law of motion
B. Newton’s second law of motion D. Bernouli’s theorem
36
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33. Accumulate P6,000 at the end of 12 years at an interest rate of 10 percent.
Solution:
𝐹 = 𝑃 (1 + 𝑖)𝑛
𝐹 = 6000 (1 + 0.10)12
∴ 𝑭 = 𝟏𝟖, 𝟖𝟑𝟎. 𝟓𝟕
34. A train whose speed is 60 mph rounds a curve whose radius of curvature is 484ft.
What is its acceleration?
Solution:
𝑉 = 60 𝑚𝑝ℎ 𝑥
5280 𝑓𝑡
3600 𝑠𝑒𝑐
𝑓𝑡
(88 𝑠𝑒𝑐 )2
𝑣2
𝒇𝒕
𝑎 =
=
= 𝟏𝟔
𝑟
484 𝑓𝑡
𝒔𝒆𝒄𝟐
35. Find the maximum shearing stress in a steel shaft of 2” in diameter which transmits
200 horsepower at 875 rpm.
Solution:
𝐻𝑃 =
2𝜋𝑁𝑇
200(44760)
;𝑇 =
= 1628.29 𝑁 − 𝑚
44760
2𝜋(875)
𝑇 = 1628.29 𝑁 − 𝑚 𝑥
𝑆𝑠𝑚𝑎𝑥 =
16 𝑇𝑚𝑎𝑥
𝜋𝐷 3
1 𝑖𝑛
1 𝑙𝑏
100 𝑐𝑚
𝑥
𝑥
= 14405.82 𝑙𝑏 − 𝑖𝑛
2.54 𝑐𝑚 4.45 𝑁
1𝑚
16 ( 14405.82)𝑙𝑏−𝑖𝑛
=
𝜋(2)3
𝑺𝒔𝒎𝒂𝒙 = 𝟗𝟏𝟕𝟏 ≈ 𝟗𝟏𝟔𝟗. 𝟖 𝒑𝒔𝒊
36. It state that if two bodies are in thermal equilibrium with a third body, they are also in
thermal equilibrium with each other.
A. first law of thermodynamics
C. third law of thermodynamics
B. zeroth law of thermodynamics D. second law of thermodynamics
37. A fluid mass of 1500 kg occupies 2 cu. m. Its specific gravity is nearest
Solution:
𝑃𝑥 =
𝑚
𝑣
=
𝑃𝑥
Sg = 𝑃
ℎ2𝑜
1500 𝑘𝑔
=
2 𝑚3
= 750
𝑘𝑔
𝑚3
𝑘𝑔
1000 3
𝑚
750
𝑘𝑔
𝑚3
= 0.75
37
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
38. The opposite of alkali.
A. Acid
B. Base
C. Fluid
39. The viscosity of fluid varies with
A. temperature
B. pressure
C. density
D. temperature and pressure
D. Substance
40. The New Electrical Engineering Law 7320 originated from House Bill No. ______ &
Senate Bill No. ______.
A. 11063 & 1766
B. 11063 & 1870
C. 11070 & 1871 D. 11070 & 1875
41. The Implementing Rules and Regulations (IRR) of RA 7920 was approved under
Board Resolution No. ____ series of 1995.
A. 16
B. 18
C. 22
D. 24
42. The first metal used by man was
A. Iron
B. Copper
C. Gold
D. Bronze
43. Article II of Code of Ethics for Electrical Engineers contains:
A. SEC. 1 to 8 B. SEC. 1 to 6
C. SEC. 1 to 9
D. SEC. 1 to 7
44. Article IV, Rule _____ Requirements for examination as a REE.
A. 14
B. 15
C. 16
D. 17
45. Compute the value of the shear modulus G of steel whose modulus of elasticity E is
200 GPa and Poisson’s ratio u is 0.30
A. 72,456 MPa B. 76,923 MPa
C. 79,698 MPa
D. 82,400 MPa
Solution:
𝐸
200 𝑥 109
𝐺 =
=
= 𝟕𝟔, 𝟗𝟐𝟑 𝑴𝑷𝒂
2 + 2(0.3)
2 + 2𝜇
46. A type of annuity where the payments are made at the start of each period,
beginning from the first period
A. Ordinary annuity
C. Deferred annuity
B. Annuity due
D. Perpetuity
47. In electrochemistry oxidation is a loss of ____________.
A. electron
B. proton
C. Ion
48. The cycle generally used for gas turbines is
A. Rankine cycle B. Carnote cycle
C. Otto cycle
D. anode
D. Brayton cycle
38
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
49. A Carnot engine operates between 800 K and 200 K. If t absorb 8 kJ of h at in each
cycle, the work it does per cycle is
Solution:
𝑄𝑛𝑒𝑡
𝑇𝑙
= 1−
𝑊𝑛𝑒𝑡
𝑇ℎ
𝑛=
𝑛=
𝑄𝑛𝑒𝑡
200 𝐾
=1−
8 𝑘𝐽
800 𝐾
𝑸𝒏𝒆𝒕 = 𝟔𝒌𝑱
50. An object weighs 100lb in air and 25 lb in fresh water. Its volume in cubic feet is
closest to
Solution:
BF = 𝑊𝑎𝑖𝑟 − 𝑊𝑎𝑖𝑟 = 100 - 25 = 75 lbs
BF = 𝛿 𝑉𝐵 ; 75 lbs = 62.4
𝑽𝑩 = 𝟏. 𝟐 𝒇𝒕𝟑
𝑙𝑏
𝑓𝑡 3
(𝑉𝐵 )
51. What is PDC stands for in EPIRA?
A. Philippine Distribution Commission
B. Philippine Distribution Code
C. Philippine Distribution Committee
D. Philippine Distribution Coordination
52. Add (10011) base 2 to (25) base 8. Express the answer in base 16
Solution:
100112 + 0101012 = 101000
100112 + 258 = 𝟐𝟖𝟏𝟔
53. The color of zinc is:
A. greyish white B. greenish white
C. bluish white
D. yellowish white
54. Which of the following computer language is used for artificial intelligence?
A. FORTAN
B. PROLOG
C. C
D. COBOL
55. The maximum moment induced in a simply supported beam of 20 foot span, by a
5,000 pound load at midspan is
Solution:
m=
𝑊𝐿
4
=
5000 𝑙𝑏 (20𝑓𝑡)
4
= 25,000 lb-ft
39
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56. A helical spring is made by wrapping steel wire 20mm diameter around a forming
cylinder 150mm in diameter. Compute the number of turns required to permit an
elongation of 100mm without exceeding a shearing stress of 140 MPa. Use G = 83
GPa.
A. 12.18
B. 18.12
C. 13.83
D. 18.33
Solution:
R=
0.15+0.02
2
= 0.085m
16 𝑃𝑅
0.5
(1 +
)
4
𝜋𝑑
𝑚
0.5
16 𝑃(0.085)
(1
+
)
140 𝑥 106 =
2(0.085)
𝜋(0.02)2
0.02
𝑆𝑠𝑚𝑎𝑥 =
P = 2443.46
64𝑃𝑅 3 𝑛
𝛿=
𝐺𝑑 4
64(2443.46)(0.85)3 𝑛
0.1 =
(83 𝑥 109 )(0.02)4
n = 13.83
57. What is that maximum deflection, in cm, of a simply supported, 6m long steel beam
with a 5 cm x 5 cm cross-section if it has 2000 N load at the midpoint?
A. 6.35
B. 7.02
C. 7.63
D. 8.23
Solution:
58. During an isentropic expansion of air, the volume triples, if the initial temperature is
200 deg. C1 find T2 in deg C.
Solution:
𝑇2
𝑇1
𝑉
= (𝑉1 )𝑘−1 , 𝑘𝑎𝑖𝑟 =1.4
2
𝑉1
𝑇2 + 273
= ( )1.4−1
1𝑉1
200 + 273
𝑇2 = 𝟑𝟐𝒐 𝑪
59. A certain water faucet has 7 gmp flow rate. How many minutes can it fill a cubic
meter drum?
40
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Solution:
𝑄=
𝑣
𝑡
; Q = 7gpm x
3.785𝐿
𝑔
𝑥
𝑚3
1000𝐿
𝑡=
𝑚3
9.26495
𝑚3
𝑚𝑖𝑛
∴ 𝒕 = 𝟑𝟕. 𝟕𝟒 𝒎𝒊𝒏𝒔
60. The atmospheric pressure at sea level is
A. 103 kN/m^2
C. 760 mm of mercury
B. 10.3 m of water
D. all of these
61. Property of a fluid by which its own molecules are attracted is called
A. Adhesion
B. Cohesion
C. Viscosity
D. Compressibility
62. If a 1/3 hp pump runs for 20 minutes what is the energy used?
A. 0.06 ergs
B. 0.25 kN
C. 0.30 MJ
Solution:
D. 0.11 kWhr
1
746 𝑊 60 𝑠𝑒𝑐𝑠
𝐻𝑃 𝑥 20 𝑚𝑖𝑛𝑠 𝑥
𝑥
= 𝟎. 𝟑𝟎 𝑴𝑱
3
𝐻𝑃
𝑚𝑖𝑛𝑠
63. At an annual rate of return of 8 percent, what is the future worth of $100 at the end
of four years?
A. $ 130
B. $ 132
C. $ 135
D. $ 136
Solution:
𝐹 = 𝑃(1 + 𝑖)𝑛
𝐹 = 100(1 + 0.08)4
F = 136
64. Structural steal elements subjected to torsion develop
A. tensile stress
C. shearing stress
B. compressive stress
D. bending stress
65. You deposit $1000 into a 9 percent account today. At the end of two years, you will
deposit another $3000. In five years you plan a $4000 purchase. How much is left in
the account one year after the purchase?
A. $925
B. $1424
C. $1552
D.1691
Solution:
𝐹𝑇 = 𝐹1 + 𝐹2 − 𝐹3
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𝐹𝑇 = [(1000(1 + 0.09))) (1 + 0.09)5 + 3000(1 + 0.09)3 ] − 4000
𝐹𝑇 = 𝟏𝟓𝟔𝟐 ≈ 𝟏𝟓𝟓𝟐
66. In flow process, neglecting KE and PE changes - ∫ 𝑉𝑑𝑃 represents which item
A. heat transfer
C. closed system work
B. shaft work
D. flow energy
67. If you borrow money from your friend with, simple interest of 12 percent, find the
present worth of P20,000 which is due at the end of nine months
A. P18,992.08 B. P18,782.18
C. P18,348.62
D. P18,120.45
Solution:
𝐼 = 𝑃(1 + 𝑖𝑛)
𝑃 = 2000(1 + 0.12(
P = 18,348.62
9 −1
))
12
68. A car starts from rest and moves with a constant acceleration of 6 m/s^2. What is the
speed of the car after 4 seconds?
A. 18 m/s
B. 24 m/s
C. 35 m/s
D. 64 m/s
Solution:
𝑣
𝑠
𝒎
𝑚
𝑣 = (6 2 )(4𝑠) = 𝟐𝟒
𝒔
𝑠
𝑎 =
69. Which of the following is spreadsheet software?
A. Microsoft Word
B. Notepad
C. Microsoft Excel D. Power Point
70. A load of P5,000 is made for a period of 15 months, at a simple interest rate of 15
percent, what future amount is due at the end of the loan period?
A. P5,937.50
B. P5,873.20
C. P5,712.40
D. P5,690.12
Solution:
15
)) = 𝟓, 𝟗𝟑𝟕. 𝟓𝟎
12
71. Waves in a lake are 5.00 m in length and pass an anchored boat 1.25 s apart. The
speed of the wave is
A. 0.25 m/s
B. 4.00 m/s
C. 6.25 m/s
D. 5.75 m/s
𝐼 = 𝑃(1 + 𝑖𝑛) = 5000(1 + 0.15(
42
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Solution:
𝑉 =
𝑑
𝑡
=
5𝑚
1.2𝑠
= 𝟒. 𝟎𝟎
𝒎
𝒔
72. Before starting any installation work, alteration, repair or extension any electrical
system, what type of permit is needed?
A. Building permit
B. Working permit C. Electrical permit D. Mayor’s permit
73. A computer __________ is self-replicating computer program.
A. Viruses
B. Worms
C. Spyware
74. Oxygen boils at -183 deg C. This temperature is
A. -215 deg F B. -297 deg F
C. -329 deg F
D. Malware
D. -361 deg F
Solution:
9 𝑜
( 𝐶 + 32)
5
9
𝐹 = ( −187 + 32) = −𝟐𝟗𝟕. 𝟒𝒐 𝑭
5
𝐹 =
75. 3.0 lbm of air are contained at 25 psia and 100 deg F. what is the volume of the
container?
A. 10.7 𝑓𝑡 3
B. 14.7 𝑓𝑡 3
C. 15 𝑓𝑡 3
D. 24.9 𝒇𝒕𝟑
Solution:
𝑝𝑉 = 𝑚𝑅𝑇
12 𝑖𝑛 2
𝑓𝑡 − 𝑙𝑏𝑓
𝑙𝑏𝑓
) (𝑣) = 3 𝑙𝑏𝑚 (53.34
)(460 + 100)𝑜 𝑅
25 2 𝑥 (
1 𝑓𝑡
𝑙𝑏𝑚𝑜 𝑅
𝑖𝑛
𝑽 = 𝟐𝟒. 𝟗 𝒇𝒕𝟑
76. A 3.0-kg object is initially at rest. It then receives an impulse of 15 Ns. after the
impulse, the object has
A. a speed of 45 m/s.
B. a momentum of magnitude 5.0kgm/s
C. a speed of 7.5 m/s.
D. a momentum of magnitude 15kgm/s
Impulse = momentum
77. A glass of ice water is filled to the brim with water, the ice cubes stick up above the
water surface. After the ice melts, which is true?
A. The water level is below the top of the glass.
B. The water level is at the top of the glass but no water has spilled.
43
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C. some water has spilled over the side of the glass.
D. Impossible to say without knowing the initial densities of the water and ice.
78. A cyclist’s average metabolic rate during a workout is 500 W. if the cyclist wishes to
expand at least 300 kcal of energy, how long must the cyclist exercise at this rate?
A. 0.6min
B. 3.6 min
C. 36.0 min
D. 41.9 min
Solution:
=
𝑊
𝑃
1 𝑘𝑊ℎ
60 𝑚𝑖𝑛𝑠
300 𝑘𝐶𝑎𝑙
𝑥
𝑥
1 ℎ𝑟
500 𝑥 10−3 𝑘𝑊 860 𝑘𝐶𝑎𝑙
𝒕 = 𝟒𝟏. 𝟗 𝒎𝒊𝒏
𝑡 =
79. A force of 10 N is applied to one end of a 10 in diameter circular rod. Calculate the
stress.
A. 0.15 kPa
B. 0.10 kPa
C. 0.20 kPA
D. 0.05 kPa
Solution:
𝑃
𝐴
10 𝑁
𝑆 =
2.54 𝑚 2
)
𝜋(10 𝑖𝑛 𝑥
100
4
𝑆 =
𝑺 = 𝟎. 𝟐 𝒌𝑷𝒂
80. Battery acid is the common name for
A. formic acid B. hydrochloric acid C. nitric acid
D. sulphuric acid
81. For school buildings, the general lighting load is _____ VA per square meters.
A. 24
B. 28
C. 16
D. 8
82. Calculate the volume at STP of 26.7 g of oxygen gas.
A. 17.8L
B. 87.1L
C. 18.7L
D. 78.1L
Solution:
𝑉 = 𝑚𝑅𝑇 = 𝑛𝑅𝑇 @ 𝑠𝑡𝑝 𝑃 = 1 𝑎𝑡𝑚 𝑇 = 0𝑜 𝐶
26.7 𝑔
𝐽
(101.325 𝑘𝑃𝑎)(𝑉) = (
) (8.314
) (0 + 273𝑜 𝐾)
𝑜
2 𝑥 10
𝑚𝑜𝑙 𝑅
44
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𝑉 = 0.0187 𝑚3 𝑥
1000 𝐿
= 𝟏𝟖. 𝟕 𝑳
𝑚3
83. Sec. 34 of Art. IV: Sundry Provision Relative to Practice of Electrical Engineering
states that _________.
A. Personnel required
B. Preparations of plans, supervision of installation, application of PEC code
C. Practice not allowed for firms and corporations
D. Prohibitions in the Practice of Electrical Engineering
84. An iron plate 2 cm thick has a cross-section of 5,000 sq. cm. One face is at 150 deg
C, and the other is at 140 deg C. How much heat passes through the plate each
second? For iron, 𝑘𝑇 = 80 W/m-K.
A. 20 kJ/s
B. 16 kJ/s
C. 27 kJ/s
D. 36 kJ/s
Solution:
∆𝑄
∆𝑇
𝑚2
= 𝐾𝑇 𝐴 ( ) = 80 (5000 𝑐𝑚2 𝑥
)
∆𝑡
1002 𝑐𝑚2
𝑡ℎ
∆𝑸
𝒌𝑱
= 𝟐𝟎
∆𝒕
𝒔
85. Determine the moment of inertia of a circle of diameter 5 in about a diameter.
A. 30.4 𝒊𝒏𝟒
B. 61.4 𝑖𝑛4
C. 15.35 𝑖𝑛4
D. 46.02 𝑖𝑛4
Solution:
𝐼 =
𝜋𝑑4
𝜋(5 𝑖𝑛)4
=
= 𝟑𝟎. 𝟒 𝒊𝒏𝟒
64
64
86. RA 7920 Rule 2(d) defining?
A.CHED
B. Commission
C. Board of EE
87. Which wave requires a medium for transmission?
A. light
B. Infrared
C. radio
D. TESDA
D. sound
88. A machine has an initial cost of P50,000.00 and a salvage value of P10,000.00 after
10 years. What is the book value after 5 years using straight line depreciation?
A. P35,000.00 B. P25,000.00
C. P15,000.00
D. P30,000.00
Solution:
𝐶𝑜 − 𝐶𝑙
50,000 − 10,000
=
= 4,000
𝐿
10
𝐷𝑛 = 𝑛𝑑 = 5(4,000) = 20,000
𝐶5 = 𝐶𝑜 − 𝐷𝑛 = 50,000 − 20,000 = 𝟑𝟎, 𝟎𝟎𝟎
𝑑 =
45
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REGISTERED ELECTRICAL ENGINEERS PRE-BOARD EXAMINATION
AUGUST 2017
ENGINEERING SCIENCES AND ALLIED SUBJECTS
89. If the atomic weight of magnesium is 24.3 g/mol,calculate how many magnesium
atoms does 5 g represent?
A.1.24x10^23 atoms
C. 3.44x10^23atoms
B.1.76x10^23atoms
D. 2.76x10^23atoms
Solution:
5𝑔
𝑔
𝑛
24.3
𝑚𝑜𝑙
𝑀𝑎𝑔𝑛𝑒𝑠𝑖𝑢𝑚 𝐴𝑡𝑜𝑚𝑠 = 𝑀𝑊 =
= 𝟏. 𝟐𝟒 𝒙 𝟏𝟎𝟐𝟑 𝒂𝒕𝒐𝒎𝒔
𝑃𝑟𝑜𝑡𝑜𝑛
1.673 𝑥 10−24 𝑔
90. What annuity is required over12 years to equate with a future amount of P 20,000?
Assume I=6 % annually
A. P1,290.34
B. P1,185.54
C. P1,107.54
D. P1,205.74
Solution:
(1 + 𝑖)𝑛 − 1 −1
)
𝑖
(1 + 0.06)12 − 1 −1
𝐴 = 20,000 (
) = 𝟏, 𝟏𝟖𝟓. 𝟓𝟒
0.06
= 𝐹(
91. The iron that has been cooled quickly from a molten state is known as
A. Blue cast iron B. Pink Cast Iron
C. Brown Cast Iron D. White cast iron
92. What is the speed of sound through a compressed water (100kpa),If it's volume
decreased by 0.007 % of it's original volume?
A.1244.55m/s B. 1414.23m/s
C. 1195.23m/s
D. 1395.11 m/s
Solution:
100 𝑥 103
∆𝑃
√ 0.007
√ ∆𝑉
𝐾
𝒎
100
𝑉
= √ =
=
= 𝟏𝟏𝟗𝟓. 𝟐𝟑
𝑃
𝒔
𝑃
1000
93. What does the prefix Tera refers to?
A. 10^12 B.10^15
C. 10^-12
D. 10^-15
94. What is the minimum diameter of solid steel shaft that will not twist through more
than 3 degrees in na 6m lengthwhen subjected to a torque of 14kN-m?
A.0.216m
B. 0.018m
C. 0.118m
D. 0.034m
Solution:
=
𝑇𝐿
𝐽𝐺
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REGISTERED ELECTRICAL ENGINEERS PRE-BOARD EXAMINATION
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
𝜋𝐷4
𝐽 =
32
𝜋
𝜋
=
𝜃 = 3𝑜 𝑥
180𝑜 60
(14 𝑥 103 )(6)
𝜋
=
𝜋𝐷4
60
9
(
32 )(83 𝑥 10 )
𝑫 = 𝟎. 𝟏𝟏𝟖𝟒𝟓
95. What is PSALM in EPIRA strand for?
A. Private sector Assets and Liabilities Management
B. Private section Assets and Liabilities Management
C. Power sector Assets and Liabilities Management
D. Power section Assets and Liabilities Management
96. What is molarity of the solution if 150g of KCI is dissolved in water to make 800ml
solution?
A. 2.51 moles/L B. 2.25 moles/L
C. 2.87 moles/L
D. 1.53 moles/L
Solution:
𝐾 − 40 𝑥 1
𝐶𝑙 − 35 𝑥 1
MW =
MR =
𝑚
𝑛
𝑛
𝐿
;𝑛 =
=
150 𝑔
𝑔
𝑚𝑜𝑙
75
2 𝑚𝑜𝑙
800 𝑥 10−3 𝐿
= 2 𝑚𝑜𝑙
= 2.5
75
𝑔
𝑚𝑜𝑙
𝒎𝒐𝒍
𝑳
97. Article V of Code of ethics stated that:
This code shall take effect upon approval by the __________ and after (15) days
following it's publication in the Official Gazette.
A.Commission B. PRC
C. IIEE.
D. CHED
98. What is the temperature rating of THHN insulation?
A. 60degC
B. 90 deg C
C. 85 deg C
D. 75 deg C
99. A turbine starts from rest to 180 rpm in 6 min at a constant acceleration. Find the
number of revolution that it makes within the elapse time.
47
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
A. 550
B. 540
C. 630
D. 500
Solution:
𝑟𝑒𝑣
𝑥 6 𝑚𝑖𝑛 = 1080 𝑟𝑒𝑣
𝑚𝑖𝑛
0 + 6
∆𝑡 =
= 3 𝑚𝑖𝑛𝑠
2
𝑟𝑒𝑣
𝑥 3 𝑚𝑖𝑛 = 𝟓𝟒𝟎 𝒓𝒆𝒗
180
𝑚𝑖𝑛
80
100. A nozzle with a 2cm diameter outlet is attached to a 10 cm diameter hose. If
the exit velocity is 50 m/s, the force of the water on the nozzle is nearest.
A. 9050N
B. 7500 N
C. 2420 N
D.750 N
Solution:
𝐹 = 𝛿𝐴ℎ = 𝛿𝐴
𝑣2
2𝑔
𝜋(0.12 − 0.022 ) (502 ) − (2)2
𝐹 = ( 9800)(
)(
)
4
2(9.8)
𝑭 = 𝟗𝟒𝟏𝟗 𝑵 ≈ 𝟗𝟎𝟓𝟎 𝑵
48
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
ESAS PRE-BOARD EXAM MARCH 2017
1. The executive officer of the Board of Electrical Engineering is _______.
A. PRC Commissioner
C. Civil Service Comission
B.Chairman of the Board of EE
D. IIEE President
2. The differential of the shear stress equation is which ones of the following
A. load on the beam
C. bending moment of the beam
B.tensile strength of the beam
D. slope of the elastic curve
3. The differential of the shear stress equation is which ones of the following
A. load on the beam
C. bending moment of the beam
B. tensile strength of the beam
D. slope of the elastic curve
4. The conductor used to connect the grounding electrode to the equipment grounding
conductor, to grounded conductor, or to both, of the circuit at the equipment or at
the source of a separated derived system.
A. Grounded Conductor
C.Equipment Grounding Conductor
B. Grounding Conductor
D. GroundingElectrode Conductor
5. Motors must be labelled with the following: nameplate rating, manufacturer’s name
and etc.
A. manufacturing rule
C. wiring design rule
B. construction rule
D. installation
6. Which of the following is not a part of the requirements to take RME?
A. Take 1-year electrician’s course and 3-years apprenticeship
B. Take 2-year electrician’s course and 2-years apprenticeship
C. Take 3-years of BSEE with apprenticeship
D. Graduate BSEE
7. What is the primary purpose of PEC?
A. to serve as guide for the untrained personell
B. is to conserve electrical energy
C. is the practical safeguarding of persons and property
D. to serve as manual guide for design
8. The process of outsmarting the search engine.
A. Google Fooling
C. Search Engine Optimization
B. Rank Enhancement
D. Search Engine Hacking
9. The Board of Electrical Engineering is composed of one chairman and how many
members?
A. 2
B. 3
C.4
D. 5
49
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REGISTERED ELECTRICAL ENGINEERS PRE-BOARD EXAMINATION
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
10. Process of posting latitude and longitude to pictures and images.
A. Prodcasting
B.Geotagging
C.Flagging
D. Posting
11. A price tag of P1450 is paid in 70 days, but if paid within 35 days it will have a 5
percent discount. Find the rate of interest.
A. 52.3%
B. 69.20%
C. 54.13%
D. 59.7%
Solution:
𝐷𝑖𝑠𝑐𝑜𝑢𝑛𝑡 = 0.05(14500) = 72.50
𝐼 = 𝑃𝑟𝑡
35
72.50 = 1377.5 (𝑟) (
)
360
∴ 𝑹 = 𝟎. 𝟓𝟒𝟏𝟑 𝒐𝒓 𝟓𝟒. 𝟏𝟑
12. You are standing on a bathroom scale in an elevator. In which of these situations
must then be the same as when the elevator is at rest?
A. Moving up at constant speed
C. Moving down with increasing speed
B. Moving up with increasing speed D. In free fall (after elevator cable)
13. Which one is the portion of an instruction cycle where the instruction is sent from
memory to register?
A. load
B. Accumulate
C. execute
D. fetch
14. For REE board examination, the passing general average is 70 percent provided
there is no ________ in any of the 3 subjects.
A. 50 percent
B. 60 percent
C. 65 percent
D. 40 percent
15. What is the weight percent of mathematics subjects?
A. 40
B. 30
C. 45
D. 25
16. A beam with rectangular cross-section with breadth of 20cm. Determine the depth
of the beam if the maximum shearing stress in the beam is 30 kg/cm2 and Vmax=
10,000 kg.
A. 25 cm
B. 23 cm
C. 20 cm
D. 30 cm
Solution:
𝐹
𝐴𝑚𝑎𝑥 = (1.5) ( )
𝑏𝑑
10,000 𝑘𝑔
30𝑘𝑔/𝑐𝑚^2 = (1.5) (
)
20 𝑘𝑔
∴ 𝑫 = 𝟐𝟓𝒄𝒎
50
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
17. What percentage of the human body will float in fresh water? Average density of
human body is 980 kg/cu. m.
A. 98
B. 2
C. 96
D. 4
Solution:
𝑃
%𝑔𝑎𝑔𝑒 = 𝑃𝐻20 − ℎ𝑢𝑚𝑎𝑛𝑏𝑜𝑑𝑦
= 1000 −
𝑃𝐻
20
980
1000
∴ %𝒈𝒂𝒈𝒆 = 𝟐
18. A bank is advertising 9.5 percent account that yield 9.84 percent account that yield
9.84 percent annually. Find how often interest is compounded.
A. Monthly
B. Bimonthly
C. Quarterly
D. Annually
Solution:
19. What is work-in-process classified as?
A. an asset B. a liability C. an expense D. owner’s equity
20. What is the formula for a straight-line-depreciation rate?
𝐀.
𝟏𝟎𝟎 % − 𝐩𝐞𝐫𝐜𝐞𝐧𝐭 𝐧𝐞𝐭 𝐬𝐚𝐥𝐯𝐚𝐠𝐞 𝐯𝐚𝐥𝐮𝐞
𝒆𝒔𝒕𝒊𝒎𝒂𝒕𝒆𝒅 𝒔𝒆𝒓𝒗𝒊𝒄𝒆 𝒍𝒊𝒇𝒆
percent net salvage value
𝑒𝑠𝑡𝑖𝑚𝑎𝑡𝑒𝑑 𝑠𝑒𝑟𝑣𝑖𝑐𝑒 𝑙𝑖𝑓𝑒
100 percent net salvage value
C.
𝑒𝑠𝑡𝑖𝑚𝑎𝑡𝑒𝑑 𝑠𝑒𝑟𝑣𝑖𝑐𝑒 𝑙𝑖𝑓𝑒
B.
D.
average net salvage value
𝑒𝑠𝑡𝑖𝑚𝑎𝑡𝑒𝑑 𝑠𝑒𝑟𝑣𝑖𝑐𝑒 𝑙𝑖𝑓𝑒
21. HTTP.// is an identifier that appears at the beginning of most Web page. What does
HTTP stands for?
A. Hypertext Time Protocol
C. Hypertext Transmission Process
B. Hypertime Text Protocol
D. Hypertext Transfer Protocol
22. For a fluid, viscosity is defined as the constant of proportionality between shear
stress and what other variable?
A. the spatial derivative of velocity
C. the time derivative of density
B. the time derivative of pressure
D. the spatial derivative of density
23. You need P40,000 per year for four years to go to college. Your father invested
P50,000 in a 7 period account for your education when you were born. If you
withdraw the P40,000 at the end of your 17th,18th,19th , and 20th years, how much
money will be left in the account at the end of your 21styear?
A. P17,000 B. P25,000
C. P34,000
D. P40,000
51
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
Solution:
𝑃17 = 50,000(1 + 0.07)17 − 40,000
𝑃18 = 𝑃17 (1 + 0.07) − 40,000
𝑃19 = 𝑃18 (1 + 0.07) − 40,000
𝑃20 = 𝑃19 (1 + 0.07) − 40,000
𝑃20 = 15,886.50
𝑃21 = 15,886.50(1 + 0.07)
∴ 𝑷𝟐𝟏 = 𝟏𝟔, 𝟗𝟗𝟖. 𝟓𝟔
24. A loan of P4,000 is made for a period of 16 months at a simple discount rate of 7
percent, what future amount is due at the end of the loan period?
A. P3,635.18
B. P3,598.57
C.P4446.22
D.P4411.76
Solution:
𝑃 = 4000
𝑑 = 7%
𝑛 = 16 𝑚𝑜𝑛𝑡ℎ𝑠
𝑖 =?
𝐹 =?
𝐹 = 𝑃 × (1 + 𝑖𝑛)
𝑑
16
) ( )]
1 − 𝑑 12
16
. 07
) ( )]
𝐹 = 4000 × [1 + (
1 − .07 12
𝐹 = 𝑃 × [1 + (
𝑭 = 𝟒, 𝟒𝟎𝟏. 𝟒𝟑 𝒐𝒓 𝟒, 𝟒𝟏𝟏. 𝟕𝟔
25. The thermodynamic statement of the conservation of energy of the system is the
A. first law B. second law C. third law D. zeroth law
26. In sizing of wire, this is:
A. manufacturing rule
B. construction rule
C. wiring design rule
D. installation rule
27. Express a pressure gage reading of 35 psi in absolute kPa?
A. 218
B. 182
C. 341
Solution:
𝑃𝑔 = 35 𝑝𝑠𝑖
𝑃𝑎𝑏𝑠 = 𝑃𝑔 + 14.7𝑝𝑠𝑖
𝑃𝑎𝑏𝑠 = 35𝑝𝑠𝑖 + 14.7𝑝𝑠𝑖
𝑃𝑎𝑏𝑠 = 49.7𝑝𝑠𝑖
101.3𝑘𝑃𝑎
𝑃𝑎𝑏𝑠 = 49.7𝑝𝑠𝑖 ×
14.7𝑝𝑠𝑖
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D. 314
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
𝑷𝒂𝒃𝒔 = 𝟑𝟒𝟏𝒌𝑷𝒂
28. Find the value of J in the program:
I= 1
J= 0
15 J= J**2 + I**2
IF (I.EQ.3) GO TO 16
I=I + 1
GO TO 15
16 CONTINUE
B. 9
A. 34
C. 40
29. Galvanized steel are products coated with ______.
A. Carbon
B. Sulfur
C. Zinc
D. 15
D.Nickel
30. Which of the following materials is not viscoelastic material?
A. Glass
B. Rubber
C. Metal
D.Plastic
31. Which is the study of heat and transformation of energy?
A. Thermodynamics
B. Thermophysics
C. Thermoplastic
D. Thermochemistry
32. Which of the following may be the Poisson’s ratio of material?
A. 0.52
B. 0.56
C. 0.63
33. A property of a material which it can be rolled a wire?
A. Ductility
B. Malleability
C. Lustre
D. 0.35
D. Elasticity
34. What is a measure of the average speed with which accounts receivable are
collected?
A. Current Ratio
B. Quick Ratio
C. Acid test ratio
D. Receivable turnover
35. What do you call the ratio of income to owner’s equity?
A. return of investment
B. gross margin
C. rate of return
D. interest expense
36. What is the minimum height of the track of a roller coaster such that it can go
around a loop without off or going off the track?
𝟓
1
1
B. h= r
C. h = r
D. h = r
A. h= r
2
𝟐
37. What is the old Electrical Engineering Law?
A. RA 814
B. RA 184
4
C. RA 9136
D. RA 7920
38. What is another term for “acid-test ratio”?
53
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
A. Current Ratio
C. Profit Margin Ratio
B. Quick Ratio
D. Price-earning model
39. A line ground system, the white conductor that carries current in normal operation
is?
A. neutral
B. ground
C. grounding conductor
D. grounding elec
40. A 4-wire system has a high-leg voltage that is indicated by a wire of color ______.
A. black
B. orange
C. brown
D. red
41. What are considered as the “building blocks” for engineering materials?
A. Atoms
B. Elements C. Matters
D. Compounds
42. Which of the following is not a structural class of steels?
A. tool and die
C. carbon
B. high strength, low strength carbon
D. stainless
43. Defects seen by optical or electron microscope
A. alteration
B. aberration
C. atomization
D. deformation
44. Which is not a programming language in web development?
A. XMLB. Elements B. FORTRAN
C. HTML
D. Javascript
45. Which is not used in programming application?
A. C
B. Java
C. Oracle
D. Visual Basic
46. What size in AWG should the wire be for 70 A overcurrent protection device?
A. 8
B.6
C. 4
D. 3
47. In the wiring of PEC 2009, what is the version of National Electrical Code that was
patterned to?
A. 2008
B.2005
C. 2001
D. 2002
48. A 50-kg metal cylinder, 2.0m long and with each end of area 25 sq. cm.
stands vertically on one. What pressure does the cylinder exert on the floor?
A. 98.1 kPa
B. 784.8 kPa
C. 392.4 kPa
D. 196.2 kPa
Solution:
𝑓𝑜𝑟𝑐𝑒
Stress =
Stress =
𝑎𝑟𝑒𝑎
50(9.81)
(25 𝑥
11𝑚
)
100 𝑐𝑚
Stress = 196.2 Kpa
49. A cylinder weighs 150 lbf. Its cross-sectional area is 40 square inches. When the
cylinder stands on one end, what pressure does the cylinder on the floor?
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A. 52 kPa
C. 14.1 kPa D. 63.2 kPa
B. 26 kPa
Solution:
𝐹 = 150𝑙𝑏𝑓 𝑥
Stress =
Stress =
𝑠𝑡𝑟𝑒𝑠𝑠
𝑎𝑟𝑒𝑎
4.448 𝑁
11𝑙𝑏𝑓
667.2
𝐹 = 667.2 𝑁
2.54 2 1 2
40 𝑥 (
) ( )
1
100
∴ 𝑺𝒕𝒓𝒆𝒔𝒔 = 𝟐𝟓𝟖𝟓𝟒. 𝟎𝟓𝟏𝟕𝟏 𝒐𝒓 𝟐𝟔 𝑲𝑷𝒂
50. After installing a new modem and router to a computer, what is the order of tuning
on?
A.Computer,Modem,Router
B.Router, Modem,Computer
C.Modem,Computer,Router
D.Modem,Router,Computer
51. A steel bar is 12m long @ -3.57 degree Celsius, what is the increase in
Length whrn the bar is heated to 5 degree Celsius the linear expansion for Steel α is
12 x 10^-6 degre Celsius
A.1.25cm
B.1.25mm
C.2.5cm
2.5mm
Solution:
𝜹 = 𝐿𝐶∆𝑡
𝜹 = 12(12𝑥10−6 )(5 + 3.57)
𝛿 = 𝟏. 𝟐𝟓 𝒎𝒎
52. Which of the following is the process that cannot found in a carnot engine cycle?
A.Isobaric Expansion
B.Adiabatic compression
C.Adiabatic expansion
D.Isothermal expansion
53. What is the branch circuit rating for hermetic motor 80 A?
A.80
B.92
C.100
54. The largest solid conductor for raceway is
A. 8 mm2
B. 5.5 mm2 C. 14mm2
55. To consider as continuous load
A. 3 hours and more
B. 4 hours and more
D.120
D. 3.5 mm2
C. 5 hours or more
D. 6 hours or more
56. How many branch circuits in 55 kVA load, with 220 v and 20 A branch circuit?
A. 12
B. 13
C. 14
D. 15
57. Find the specific volume of water with density of 1,000 kg/m3
A. 0.004 m3/kg
C. 0.001 m3/kg
55
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
B. 0.002 m3/kg
D. 0.003 m3/kg
58. NGCP warns _________ alert if tropical disturbance within 24 hours.
A. yellow
C. red
B. blue
D. weather disturbance
59. In computing, what is a tape drive?
A. a data storing device
C. a pointing device
B. an OCR device
D. a multimedia device
60. If the velocity of the flow in a 20 cm radius hose in a 1.2 m/s, what is the output
velocity in a 0.5 cm radius issuing from a nozzle attached at the end of the pipe?
A. 0.192 m/s
B. 4.8 m/s
C. 0.3 m/s
D. 0.075 m/s
Solution:
𝑄1 = 𝑄2
𝐴1 𝑉1 = 𝐴2 𝑉2
𝜋
𝜋
(20)2 (1.2) = (50)2 (𝑉2 )
4
4
𝒎
𝒔𝟐
61. Find the capacitance of the plates of a parallel-plate capacitor with an area of 40 sq.
cm. and 10 mm apart 𝜀o= 8.854 x 10-12 F/m.
A. 3.54
B. 35.4
C. 2.21
D. 22.1
Solution:
𝑸
𝑉2 = 𝟎. 𝟏𝟗𝟐
𝐴
𝑪= =ε=
𝑽
ℎ
𝐶 = (8.854x10 − 12)(40
)
10
∴ 𝑪 = 𝟑. 𝟓𝟒𝟏𝟔𝒙𝟏𝟎 − 𝟏𝟏𝑭
62. The continuous current must not exceed ______ of the rating of the conductor?
A. 60 percent
B. 70 percent
C. 80 percent
D. 90 percent
63. If a man’s body in a bathtub with 1,200 kg water loses heat at 4.2 x 10 6 J/hr. If the
initial temperature of water is 20oC, what will be its temperature after 1 hour?
A. 100
B. 120
C. 90
D. 70
Solution:
𝑘𝑔
L−atm.
) at 25oC and 1 atm. R* = 0.0821
64. Find the density of UFa (M = 352.02
𝑚𝑜𝑙−𝐾
𝑘𝑚𝑜𝑙
A. 14.4 g/L
B. 171.5 g/L
C. 2.05 g/L
D. 24.6 g/L
Solution:
𝑃𝑉 = 𝑚𝑅𝑇
56
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
𝑘𝑔
𝑇 = 25𝑜𝐶 𝑀 = 352.02
𝑘𝑚𝑜𝑙
𝐿 − 𝑎𝑡𝑚.
𝑅 ∗ = 0.0821
𝑚𝑜𝑙 − 𝐾
𝐿 − 𝑎𝑡𝑚
𝑚𝑜𝑙
− 𝐾 × 1000𝑔
𝑅=
𝑘𝑔
1𝑘𝑔
352.02
𝑘𝑚𝑜𝑙
𝑅 = 0.233 × 10 − 3 𝐿 − 𝑎𝑡𝑚⁄𝑘𝑔 − 𝑘
0.0821
𝜌=
𝑚
𝑃
=
𝑉 𝑅𝑇
1𝑎𝑡𝑚
𝐿 − 𝑎𝑡𝑚
(0.233
) (25 + 275)𝐾
𝑔−𝑘
𝒈
∴ 𝝆 = 𝟏𝟒. 𝟒
𝑳
65. A motorcycle moves at a constant speed of v = 12 m/sec around a curved road of a
radius r= 100 m. What is the magnitude and general direction of the motorcycle’s
acceleration?
A. 1.4 m/s2 towards the center of the curvature
B. 1.4 m/s2 away from the center of curvature
C.1.1 m/s2 towards the center of curvature
D.1.1 m/s2 away from the center of the curvature
𝜌=
Solution:
𝑽𝟐
a= 𝒓 =
𝒎
𝒔
(𝟏𝟐 )𝟐
𝟏𝟎𝟎𝒎
= 1.44m/s2
66. A flywheel with a moment of inertia of 2 kg-m3 is applied a torque of 5 N-m. If it
starts from rest, what is the speed of the flywheel, in rpm, after 5 seconds?
A. 29.67
B.119.36
C. 59/78
D. 92.76
Solution:
𝝉 = 𝒍𝒂
𝜏
𝑎= =
𝑙
at T=5 sec
𝑺𝒑𝒆𝒆𝒅 = (2.5
𝑟𝑎𝑑
𝑠2
5 𝑁−𝑚
2𝑘𝑔−𝑚3
= 2.5𝑟𝑎𝑑/𝑠 2
) (5𝑠𝑒𝑐) = 12.5
𝑟𝑎𝑑
𝑠
∗
60
𝑟𝑝𝑚
2𝜋
1𝑟𝑎𝑑
𝑠
= 𝟏𝟏𝟗. 𝟑𝟔 𝒓𝒑𝒎
67. _____________ is an act of sending e-mails or creating web pages that are
designed to collect an individual’s online bank, credit card or other login
information?
A. Malware
B. Hacking C. Cracking`
D. Phishing
57
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
68. The original amount of money invested, borrowed, or deposit
A. Interest
B. Principal
C. Funds
D. Stock
69. The interest rate of return of a project that involves an initial investment with
subsequent positive cash flows is 18 percent. Four companies considering the
project. Given the following respective minimum attractive rates of return (MARR),
which company will be most likely to accept the project?
Company
MARR
1.
12 percent
2.
14 percent
3.
18 percent
4.
19 percent
A. company A
B. Company B
C. Company C
D. Company D
70. What is the amount of P12,800 in 4 years at 5 percent compounded quarterly?
A. P15,641.59
B.P15,614.59
C. P15,461.59
D. P15,146.95
Solution:
𝑁𝑜𝑚𝑖𝑛𝑎𝑙 𝑅𝑎𝑡𝑒 𝐼𝑛𝑡𝑒𝑟𝑒𝑠𝑡 0.05
=
= 0.0125
4
𝑀
𝐹 = 𝑃(1 + 𝑖)𝑛
𝐹 = 12800(1 +0.0125)16 = P15,614.59
𝑖=
71. A diagram drawn to help visualize and simplify problem having diverse receipts and
disbursement
A. Budget
C.year-end-convention
B. investment
D. Cash-flow
72. A loan of P5,000 is made for a period of 15 months, at a simple interest rate of 15
percent, what future amount is due at the end of the loan period?
A. P5,712.40
B. P5,690.12
C.P5,937.50
D. P5,873.20
Solution:
𝐹 = 𝑃 (1 + 𝑖𝑛)
= 5000[1 + (0.15)( )]
∴ 𝑭 = 𝑷𝟓, 𝟗𝟑𝟕. 𝟓𝟎
73. 3.0 lbm of air are contained at 25 psia and 100 deg F. Given that R air= 53.35 ftlbf/lbm-oR, what is the volume of the container?
A. 10.7 cu. ft.
B. 14.7 cu. ft.
C. 15 cu. ft.
D. 24.9 cu. ft.
Solution:
58
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MARCH 2017
ENGINEERING SCIENCES AND ALLIED SUBJECTS
74. Which of the following relations defines enthalpy?
A. h= u + 𝜌
B. h = u + 𝝆𝑽
C. h = u + 𝜌 D. h =𝜌𝑉+ T
75. What refers to chemically combined elements with definite proportions of the
component elements?
A. Mixture
B. Molecules
C. Compound
D. Alloy
76. Which of the following cannot be a property of a gas?
A. Density
B. Pressure C. Viscosity
D. Temperature
77. The relationship between the extension of a spring and the force required to
produce the extension
A.
F= ma
B. F =𝜇𝑁
C. F= 𝑚𝑣 2 D. F = kx
78. The place where buyers and sellers are together.
A. Density
B. Pressure C. Viscosity
D. Temperature
79. The linear portion of the stress-strain diagram of steel is known as the
A. modulus of elongation
C. Irreversible range
B. Plastic range
D. elastic range
80. For which of the following is the Program-Evaluation and Review Technique
(PERT) not used?
A. construction projects
C. preparation of bids and proposals
B. computer programming assignments D. queueing problems
81. In any collision, which of the following is conserved
A. kinetic energy
B. velocity
C. momentum
D.potential energy
82. What is another term for modulus of elasticity?
A. Bulk modulus
C. Constant of elongation
B. B. Shear strain
D. Young’s Modulus
83. Which of the following is added to the drinking water distribution system for a
disfunction?
A. Soda ash
B. Chlorine
C. Lime
D. Iodine
84. An enclosed channel designed expressly for holding wires, cables, or busbars with
additional functional permitted by the Philippine Electrical Code.
A. Duct
B. Raceway
C. Cable Tray
D. Tube
85. Sec. 23 of Art. III of RA 7920: Issuance of Certificates of Registration. The
professional is required to review license every ___ years upon payment of
registration fees.
A. 1
B. 2
C. 3
D. 4
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MARCH 2017
ENGINEERING SCIENCES AND ALLIED SUBJECTS
86. A man borrowed P2,000 from a bank and promised to pay the amount for one year.
He received only the amount of P1,920 after the bank collected an advance interest
of P80.00. What is the rate of discount?
A. 4.17
B. 4.00
C.3.67
D. 4.50
Solution:
𝐹 = 𝑃(1 + 𝑖𝑛) ; 2,000 = 1920(1 + 𝑖(1)) ; 𝑖 = 0.0417
1
1
𝑹𝒂𝒕𝒆 𝒐𝒇 𝒅𝒊𝒔𝒄𝒐𝒖𝒏𝒕 = 1 −
=1−
= 𝟒%
1+𝑖
1 + .0417
87. Service conductors made up in the form of a cable
A. Service cable
C. Service Drop
B. Service Raceways
D. Service Lateral
88. For hospitals, a general lighting load of ___ VA/m2 shall be used.
A. 12
B. 24
C. 8
D. 16
89. A method of identifying the location of a given data record by its name.
A. Tracking
B. Linker
C. Signature
D. Hashing
90. Dalisay Corporation’s gross margin is 45 percent of sales. Operating expenses such
as sales and administrations are 15 percent of sales. Dalisay is in 40 percent tax
bracket. What percent of sales is their profit after taxes?
A. 18
B. 5
C. 24
D. 0
Solution:
𝑃𝑒𝑟𝑐𝑒𝑛𝑡 𝑜𝑓 𝑠𝑎𝑙𝑒𝑠 𝑎𝑓𝑡𝑒𝑟 𝑝𝑟𝑜𝑓𝑖𝑡 𝑡𝑎𝑥𝑒𝑠 = (𝐺𝑟𝑜𝑠𝑠 𝑚𝑎𝑟𝑔𝑖𝑛 %)𝑥(% 𝑡𝑎𝑥 𝑏𝑟𝑎𝑐𝑘𝑒𝑡)
∴ 𝑷𝒆𝒓𝒄𝒆𝒏𝒕 𝒐𝒇 𝒔𝒂𝒍𝒆𝒔 𝒂𝒇𝒕𝒆𝒓 𝒑𝒓𝒐𝒇𝒊𝒕 𝒕𝒂𝒙𝒆𝒔 = (. 45)𝑥(. 40) = 𝟏𝟖%
91. Sec. 14(a) (iii) of Article III. Examination and Registration, states that prior to
commencing of work, the foreign professional shall secure special permit from the
______.
A.Commission
B. IIEE
C. PDEA
D.Bureau of Immigration
92. The Professional Regulation Commission (PRC) was created under
A. PD 223
B. PD 29
C. EO 223 D. EO 59
93. A car dealer advertises the sale of a car model for a cash price of P280,000. If
purchased on installment the regular downpayment of 15 percent and balance
payable in 15 equal monthly installments at an interest rate of 1.5 percent per
month. How much will be required monthly payments?
A. P15,783.90
B. P15,632.11
C.P15,289.12 D. P15,185.78
60
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
Solution:
94. The ratio of Cp and Cv is called
A. isothermal index
C. Hypebeast index
B. Adiabatic index
D. None of these
95. Which of the following is the opposite of elasticity?
A. rigidity
B. malleability
C. ductility
D.plasticity
96. If 1/3 hp pump runs for 20 minutes, what is the energy used?
A. 0.06 erg
B. 0.25 kw
C. 0.30 MJ
D. 0.11 kW-h
Solution:
1
𝑥 746 = 248.67
3
60𝑠𝑒𝑐
𝑡 = 2𝑂 𝑚𝑖𝑛𝑠 𝑥
= 1200𝑠𝑒𝑐
1 𝑚𝑖𝑛
𝐽 = 𝑊𝑡 = 248.67 𝑥 1200 = 𝟎. 𝟑𝟎 𝑴𝑱
𝑃=
97. What is the area under the curve on a temperature-entropy diagram?
A. Heat
B. Work
C. Entropy
D. Volume
98. Which of the following refrigerant is highly toxic and flammable?
A. NH2
B. CO2
C. CO3
D. R-12
99. Oxygen is converted into ozone by
A. great heat B. high pressure
100.
C. electric discharge D. all of these
What rules are included in Article IV of RA 7920?
A. Rule 1 to 10
B. Rule 11 to 20
C. Rule 21 to 27
D. Rule 28 to 34
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
ESAS PRE-BOARD EXAM AUGUST 2016
1. Which location may be temporarily subjected to dampness or wetness?
A. Dry
B. Damp
C. Moist
D. Wet
2. A train running at 60kph decelerated at 2.5m/min 2 for 12minutes. Find the distance
travelled in km within the period.
A.1.182
B.11.82
C.1.812
D.2.182
Solution:
Uniform Acceleration Formula
𝑺 = 𝑽𝐨(𝒕) ± 𝟏/𝟐𝒂(𝒕)2
𝑉𝑜 =
1ℎ𝑟
1000𝑚
60𝑘𝑚 1000𝑚 60,000𝑚
𝑥
=
𝑥
=
1𝑘𝑚
ℎ𝑟
60 𝑚𝑖𝑛𝑠
𝑚𝑖𝑛𝑠
ℎ𝑟
=(
1000𝑚
1
) (12min) − (2.5 𝑚/ min) (12min)2 = 𝟏𝟏. 𝟖𝟐𝟎 𝒌𝒎
min
2
3. Which of the following is very reactive in its pure form?
A. Na
B. He
C. HCl
D. CO2
4. Which of the following is an instruction that causes data to be brought from memory
into an accumulator register?
A. LOAD
B. LOOP
C. FETCH
D. JUMP
5. Installations underground or in concrete slabs or masonry in direct contact with earth.
A. Wet location B. Dry Location
C. Damp Location D. Moist Location
6. MS-WORD is a type of?
A. System Software
C. Application Software
7. What is CD-ROM?
A. Compact Disk Read Only Memory
B. Compatible Disk Read Only Memory
B. Operating System
D. System Software
C. Compact Data Read Only Memory
D. Compatible Data Read Only Memory
8. What is the weight percentage of electrical engineering professional subjects?
A. 40
B. 35
C. 45
D. 25
9. In an ideal gas, both pressure and temperature increases to thrice the original
temperature respectively, if the original volume is Vo, then the new volume is,
A.2Vo
B.Vo
C.Vo/2
D.4Vo
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Solution:
𝑃𝑜𝑉𝑜
𝑡𝑜
=
𝑃𝑓𝑉𝑓
𝑡𝑓
=>
𝑃𝑜𝑉𝑜
𝑡𝑜
=
3𝑃𝑜𝑉𝑓
3𝑡𝑜
=>
3𝑃𝑜𝑡𝑜
3𝑃𝑜𝑡𝑜
=
𝑉𝑓
𝑉𝑜
=> 𝑽𝒇 = 𝑽𝒐
10. What is the interest of P 8,600 after 4 years at 12 percent simple interest rate?
A.P 4,161
B.P 4,116
C.P 4,218
D.P 4,128
Solution:
𝐹 = 𝑃𝑖𝑛
𝐹 = (8,600)(12%)(4)
∴ 𝑭 = 𝑷 𝟒, 𝟏𝟐𝟖
11. First law of thermodynamics is also known as:
A. Conservation of Heat
C. Conservation of Energy
B. Heat Transfer
D. Utilization Energy
Explanation:
The first law, also known as Law of Conservation of Energy, states that
energy cannot be created or destroyed in an isolated system. The second law of
thermodynamics states that the entropy of any isolated system always
increases.The third law of thermodynamics states that the entropy of a system
approaches a constant value as the temperature approaches absolute zero.
12. Find the equivalent value of a 2μF and 4μF capacitors is connected in parallel and
in series with a 3μF capacitor.
A.3μF
B. 2μF
C.4μF
D.5μ
Solution:
𝐶𝑝𝑎𝑟𝑎𝑙𝑙𝑒𝑙 = (2) + (4) = 6
𝐶𝑡 =
(6)(3)
= 𝟐𝝁𝑭
(6) + (3)
13. How do you measure the voltage of a circuit element?
A. Voltmeter in series with the element
B. Voltmeter in parallel with the element
C. Ammeter in parallel with the element
D. Ammeter in series with the element
63
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
Explanation:
A voltmeter is a device used to measure the potential difference “Between Two
Points”. In order to measure the potential between two points, we have NO WAY
around except to connect it in Parallel.
A voltmeter is a device of having high resistance. So, if we connect it in Series, it
would hinder the current flow in the circuit hence Open Circuit results. That’s why
we do not connect it in Series.
14. What is the most common reinforcement for polymer composites?
A. Boron
B. Ceramic
C. Graphite
D. Glass Fiber
Explanation:
Glass fibers reinforced polymer composites have been prepared by various
manufacturing technology and are widely used for various applications. Nowadays, it
has been used in electronics, aviation and automobile application etc. Glass fibers are
having excellent properties like high strength, flexibility, stiffness and resistance to
chemical harm.
15. A process in pressure is constant?
A. Isobaric
B, Isochoric
C. Isometric
D. Isothermal
Explanation:
An isobaric process is a thermodynamic process in which
the pressure remains constant. This is usually obtained by allowing the volume to
expand or contract in such a way to neutralize any pressure changes that would be
caused by heat transfer.
16. Section 40 of article IV of RA 7920 is the Penalty Clause, states that any person
who shall violate any of the provisions of this Act shall be guilty of misdemeanor and
shall, upon conviction, be sentenced to a fine of not less than __________ nor more
than
P50, 000 or imprisonment for a period not less than 6 months nor more than 5
years or both at the discretion of the court.
A.P 10,000
B.P 15,000
C.P 25,000
D.P 30,000
17. According to RA 7920 the members of the BEE shall hold office for a term of
______ year from the date of appointment or until their successors shall have been
appointed and qualified.
A.6
B.4
C.3
D.5
18. Which doesn’t have electric charge?
64
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AUGUST 2016
ENGINEERING SCIENCES AND ALLIED SUBJECTS
A. Proton
B. Electron
C. Molecule
D. Neutron
Explanation:
The neutron is a subatomic particle, symbol n or n 0 , with no net electric
charge and a mass slightly larger than that of a proton.
19. May is declared as the electrical safety month virtue of ______ signed by Pres.
Benigno Aquino III last June 27, 2011 for the reason of informing the public of the real
reason of faulty electrical wiring.
A. RA 7920
C. Proclamation No. 183
B. Proclamation No. 193
D. RA 184
20. What is the maximum efficiency engine operated from a high temperature reservoir
to a low temperature reservoir?
A. Carnot
B. Otto
C. Ericson
D. Bell-Coleman
Explanation:
The most efficient heat engine cycle is the Carnot Cycle, consisting of two
isothermal processes and two adiabatic processes. The Carnot cycle can be
thought of as the most efficient heat engine cycle allowed by physical laws.
21. EPIRA is RA 9136 which means_____________.
A. Electric Power Installation Reform Act
B. Energy Power Isolation Reform Act
C. Electric Power Industry Reform Act
D. Energy Power Institution Reliability Act
22. EPIRA is RA ____________.
A.184
B. 9136
C.9163
D.7920
23. A man pushes a 50-kg refrigerator at a distance of 15m. If the coefficient of friction
is 0.4, what is the work done by the man? Use g=9.8m/sec2.
A. 2490 J
B. 7530 J
C. 2940 J
D. 7350 J
Solution:
𝐹𝑟 = 𝜇𝑁
𝐹𝑟 = 𝜇 𝑥 𝑚 𝑥 𝑔 𝑥 𝑑
𝑊 = (50)(9.8)(15)(0.4)
∴ 𝑾 = 𝟐𝟗𝟒𝟎 𝑱
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
24. A mass m is released at a height h, using conservation of energy, find the final
velocity of the mass as it hits the ground.
A. v=gh
B. v=gh/2
C. v=√2gh
D. v= √gh
Solution:
𝑉𝑓 2 = 𝑉𝑜2 + 2𝑔ℎ
𝑉0 = 0
∴ 𝑽𝒇 = √𝟐𝒈𝒉
25. A reservoir dam holds an 8.00-km2 lake behind it. Just behind the lake is 12.0m
deep. What is water pressure at a point 3.0m down from the lake’s surface?
A. 27
B. 29
C. 25
D. 24
Solution:
𝐴𝑠𝑠𝑢𝑚𝑒 𝑡ℎ𝑒 𝑝𝑟𝑒𝑠𝑠𝑢𝑟𝑒 𝑎𝑡 𝑡ℎ𝑒 𝑠𝑢𝑟𝑓𝑎𝑐𝑒 𝑖𝑠 1 𝑎𝑡𝑚
𝑇ℎ𝑒𝑟𝑒𝑓𝑜𝑟𝑒,
𝑃 = 𝑝𝑔ℎ
𝑃 = (1)(9.8)(3.0) = 𝟐𝟗. 𝟒 ≈ 𝟐𝟗
26. Conservation of _______________is used in collision, Explosion and the like.
A. mass
B. energy
C. momentum
D. heat
Explanation:
In collision, we are using the law of conservation of momentum with the formula:
𝑚1 𝑣1 +𝑚2 𝑣2 = 𝑚1 𝑣′1 + 𝑚2 𝑣′2
27. The deflection beam is
A. directly proportional to the modulus of elasticity and moment of inertia.
B. inversely proportional to the modulus of elasticity and the length of the beam
cubed
C. inversely proportional to the modulus of elasticity and moment of inertia
D. directly proportional to the load imposed and inversely proportional to the length
squared
28. A copper column of annular cross-section has an outer diameter of 15 feet, and is
subjected to a force of 45 kips. The allowable compressive stress is 300 lbf/ft².
What should be the inner diameter?
A. 3.52 ft
B. 5.03ft
C. 4.59ft
D. 5.83ft
Solution:
66
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𝑆=
𝑃
𝐴
𝑃
𝑆=𝜋
(𝐷2 − 𝑑2 )
4
45,000
300 = 𝜋
(152 − 𝑑2 )
4
∴ 𝒅 = 𝟓. 𝟖𝟑 𝒇𝒕
29. How many moles are there in 21.58 g of chloroform (CHCI3)
A. 0.1608
B. 0.1806
C. 5.5352
D.5.5252
Solution:
𝑀𝑜𝑙𝑒𝑠 =
𝑀𝑊 𝑜𝑓 𝐶𝐻𝐶𝑙3 = 119.35 𝑔/𝑚𝑜𝑙
𝑔
21.58
=
= 𝟎. 𝟏𝟖𝟎𝟖 ≈ 𝟎. 𝟏𝟖𝟎𝟔 𝒎𝒐𝒍𝒆𝒔
𝑀. 𝑤 119.35
30. What is the system program used to translate directly an assembly language to
machine language called
A. Compiler
B. Debugger
C. Interpreter
D. Assembler
31. A machine is under consideration for investment. The cost of machine is P25,000.
Each of year it operates, the machine will generate a saving of P15,000. Given an
effective annual interest of 18%, what is the discount payback period, in year, on the
investment of the machine?
A. 1.566
B. 2.233
C. 2.155
D. 2.607
Solution:
(𝟏 + 𝐢)𝐧 − 𝟏
𝐏 = 𝐀(
)
𝒊(𝟏 + 𝒊)𝒏
(1 + 18%)𝑛 − 1
)
25000 = 15000 (
18%(1 + 18%)𝑛
𝒏 = 𝟐. 𝟏𝟓𝟓 𝒚𝒓𝒔.
32. What best defines annuity?
A. a series of equal payments occurring at equal periods of time
B. First payment does not begin until some later date.
C. value of the stock as stated on the stock certificate.
67
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D. difference between the present value and the worth of money at some time in the
future.
33. What interest rate compounded monthly in equivalent to an invest rate of 9%
compounded quarterly?
A. 9.10%
B. 9%
C. 9.31%
D. 8.93%
Solution:
(1 +
𝐸𝑅𝐼 = 𝐸𝑅𝐼
𝑟 𝑚
𝑟 𝑚
) = (1 + )
𝑚
𝑚
9% 4
𝑟 12
)
(1 + ) = (1 +
4
12
𝒓 = 𝟎. 𝟎𝟖𝟗𝟑 𝒙 𝟏𝟎𝟎 = 𝟖. 𝟗𝟑%
34. A 20-m long extension cord made of 35 mm² THWG conductor has across-section of
0.033 cm². What is the resistance of the cord? (p= 1.7x10 raise to -8 Ω-m)
A. 0.281 Ω
B. 0.218 Ω
C. 0.130 Ω
D. 0.103 Ω
Solution:
𝑅=
𝑝𝑙
𝐴
𝐴 = 0.033𝑐𝑚2 𝑥
𝑅=
1𝑚
1002 𝑐𝑚
= 3.3 𝑥10−6 𝑚
(1.7𝑥10−8 )(20)
= 𝟎. 𝟏𝟎𝟑Ω
3.3𝑥10−6
35. A bike worth P10, 000 is discounted now at 10%. Four months later and bike is sold
with 15% discount. How much the bike sold?
A. P 9,000
B. P 8,000
C. P 7,650
D.8, 750
Solution:
𝑃 = 10,000 (0.10) = 9,000
𝑃 = 9,000 (0.15) = 1350
𝑃 = 9000 − 1350 = 𝑷 𝟕, 𝟔𝟓𝟎
36. Accumulate P6, 000 at the end of 12years at the interest rate of 10%.
A. P 1,931.34
B. P18, 830.57
C. 1,911.78
D. P18, 635.09
68
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Solution:
𝐹 = 𝑃 (1 + 𝑖)𝑛
𝐹 = 6,000 (1 + 0.1)12
∴ 𝑭 = 𝑷 𝟏𝟖, 𝟖𝟑𝟎. 𝟓𝟕
37. Find the value P100 at the end of 2years at an interest rate of 8% compounded
quarterly.
A. 116.64
B. 116.99
C. 117.17
D. 117.29
Solution:
𝐹 = 𝑃 (1 + 𝑖)𝑛
8% 2(4)
𝐹 = 100 (1 +
)
4
∴ 𝑭 = 𝟏𝟏𝟕. 𝟏𝟔𝟓
38. Mr. Cruz borrowed P12, 000 at an interest rate of 10% per annum. Find the lump
sum that he will pay at the end of 4 years?
A. P 17,569.57 B. 8,196.16
C. 19,326.12
D. 7,451.06
Solution:
𝐹 = 𝑃 (1 + 𝑖)𝑛
𝐹 = 12,000(1 + 10%)4 = 𝑷 𝟏𝟕, 𝟓𝟔𝟗. 𝟐
39. Find the initial deposit if you want to accumulate P12, 000 at the end of 6years with
an interest rate of 12%.
A. P 6,079.57
B. 6, 309.12
C. 2,918.71
D. 3,328.92
Solution:
𝐹 = 𝑃 (1 + 𝑖)𝑛
𝐹 = 12,000 (1 + 12%)6 = 𝑷 𝟔, 𝟎𝟕𝟗. 𝟓𝟕
40. A truck accelerate from rest 120kph in 2 s. Find the average acceleration in m/s².
A. 16.67
B. 60
C. 33.33
D. 8.33
Solution:
120,000𝑥
1
𝑚
= 13.3333
𝑠𝑒𝑐𝑠
3600
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𝑎=
𝑉𝑜 − 𝑉𝑓 13.333
=
= 𝟏𝟔. 𝟔𝟔𝟕 𝒎/𝒔𝟐
𝑡
2𝑠𝑒𝑐
41. A side (2 in) of a square is loaded in tension by force of 12kips. Determine the
normal stress in ksi in the rate of interest.
A. 5.5
B. 6
C. 2.6
D. 3
Solution:
𝑆=
𝑆=
𝑃
𝐴
12
= 𝟑𝒌𝒔𝒊
2𝑥2
42. A price tag of P1, 450 is paid in 70 days, but if paid within 35 days, it will have 5%
discount. Find the rate of interest.
A. 52 percent
B. 54 percent
C. 57 percent
D. 36 percent
Solution:
𝐷𝑖𝑠𝑐𝑜𝑢𝑛𝑡𝑒𝑑 = 1450 − 1450(0.05) = 𝑃 1377.5
𝐼 = 𝑃𝑖𝑛
72.5 = 1377.5(𝑖) (
35
)
365
𝒊 = 𝟎. 𝟓𝟒 𝒐𝒓 𝟓𝟒%
43. A price tag of P1, 450 is paid in 70days, but if paid within 35days, it will have a 5%
discount. Find the rate of interest.
A. 52 percent
B. 54 percent
C. 57 percent
D. 36 percent
Solution:
𝐷𝑖𝑠𝑐𝑜𝑢𝑛𝑡𝑒𝑑 = 1450 − 1450(0.05) = 𝑃 1377.5
𝐼 = 𝑃𝑖𝑛
72.5 = 1377.5(𝑖) (
35
)
365
𝒊 = 𝟎. 𝟓𝟒 𝒐𝒓 𝟓𝟒%
44. The change that the system undergoes from one equilibrium state to another is
known as ____________.
A. path B. process
C. enthalpy change
D. Entropy change
70
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45. What is the entropy of pure substance at the temperature of absolute zero?
A. unity
B. zero
C. infinity
D. undefined
46. Find the amount of P30, 000 at 15% per annum after 2years.
A. P39, 675
B. P 22,685
C. P 34,500
D. 30,000
Solution:
𝐹 = 𝑃 (1 + 𝑖)𝑛
𝐹 = 30,000 ( 1 + 15%)2 = 𝑷 𝟑𝟗, 𝟔𝟕𝟓
47. Find the amount of P30, 000 at 6% simple interest after 5 years.
A. P39, 000
B. P40, 000
C. P41, 000
D.P42, 000
Solution:
𝐹 = 𝑃(1 + 𝑖𝑛)
𝐹 = 30,000(1 + (6%)(5)) = P 39,000
48. What is the amount of heat needed to turn 1kg of substance at its melting point from
the solid to the liquid state?
A. Heat of fusion
B. Heat of vaporization
C. Heat of condensation
D. Heat of fission
49. What is the value of 11101110 base 2 to base 8?
A. 356
B. 365
C. 653
D. 635
Solution:
11
101 1102 = 3 5 6 8
50. A sports car is traveling at 50kph when it applies full brakes. It travels 15 ft. before
coming to a full stop. If it now travels at 150kph and applies brakes the same way,
how far does it travel before it stop?
A. 15ft
B. 26ft
C. 45ft
D. 135 ft.
Solution:
50𝑘𝑚 1000𝑚 3.28𝑓𝑡
𝑓𝑡
𝑥
𝑥
= 164,000
ℎ𝑟
1𝑘𝑚
1𝑚
ℎ𝑟
71
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150𝑘𝑚 1000𝑚 3.28𝑓𝑡
𝑓𝑡
𝑥
𝑥
= 492,000
ℎ𝑟
1𝑘𝑚
1𝑚
ℎ𝑟
𝑉 2 = 𝑉𝑜2 − 2𝑎𝑆
02 = (164)2 − 2(𝑎)(15)
𝑎=
896.53𝑥103 𝑓𝑡
ℎ𝑟 2
𝑉 = 𝑉𝑜 − 𝑎𝑡
0 = 492 − (896.53)(t)
𝑆 = 𝑉𝑜𝑡 −
𝑡 = 0.549 ℎ𝑟
1
1
(𝑎)(𝑡)2 = (492)(0.549) − (896.53)(0.549)2
2
2
𝑺 = 𝟏𝟑𝟓 𝒇𝒕
51. The center of gravity of a log, 10 ft. long and weighing 100 lb., is 4 ft. from one end
of the log. It is to be carried by two men. If one is at the heavy end, how far from the
other end does the second man have to hold the log if each is to carry 50 lb.?
A. 2 ft.
B. 4 ft.
C. 5 ft.
D. 6 ft.
Solution:
4 (100) – 50 (10 – x) = 0
400 – 500 + 50x = 0
50x = 100
X= 2ft
52. For rectangular section of breadth “b” and depth “h” the section modulus is given by:
A. z = bh3/12
B. z = bh3/6
C. z = bh2/12
D. z = bh2/6
53. Ideal fluid has:
A. no surface tension
B. no surface tension, no viscosity
C. no surface tension, no viscosity and no compressibility
D. surface tension, viscosity and compressibility
54. A thin hollow sphere of radius 10 in. and thickness 0.1 in. is subjected to an internal
pressure of 100 psig. The maximum normal stress on an element of the sphere is
A. 5,000 psi
B. 10,000 psi
C. 25,000 psi
D. 20,000 psi
Solution:
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S = PD / 2T
S= (100) (10) / 2(0.1) = 5000 psi
55. The area of the shear diagram of a beam between any two points on the beam is
equal to the
A. Change in shear between the two points
B.Total shear beyond the two points
C. Average moment between two points
D. Change in moment between two points
56. Carbon dioxide “snow” from a fire extinguisher puts out a fire because it
A. lowers the kindling temperature of the material
B. displaces the supply of oxygen
C. raises the kindling temperature of the material
D. cools the material below its kindling temperature
57. The rocks generally used for roofing, is
A. granite
B. basalt
C. slate
D. trap
58. During a refrigeration cycle, heat is rejected in a:
A. evaporator
B. condenser
C. compressor
D. expansion valve
59. A 20-g piece of aluminum (c = 0.21 cal/g-deg C) at 90 deg C is dropped into a cavity
in a large block of ice at 0 deg C. How much ice does the aluminum melt?
A. 6.3 g B. 3.6 g
C. 7.4 g
D. 4.7 g
Solution:
𝑄 = 𝑚𝐶𝛥𝑇 = (20) (0.21) (90 − 0) = 378
𝑄 = 𝑚𝐿; 𝑚 =
𝑄 378
=
= 𝟒. 𝟕𝟐𝟓 𝒈
𝐿
80
60. Stainless steel resists corrosion due to
A. carbon
B. sulfur
C. chromium
D. vanadium
61. A baseball is thrown with an initial velocity of 100 m/s at an angle of 30 degrees
above the horizontal. How far from the throwing point will the baseball attain its
original level?
A. 799 m
B. 977 m
C. 884 m
D. 848 m
Solution:
Vo = 100 m/s; Ɵ = 30
73
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R=
Vo 2 sin 2 Ɵ
g
=
(100)2 sin(2 x 30)
9.81
= 884 m
62. A solid steel shaft 8 ft long is to transmit a torque of 20,000 ft-lb. The shear modulus
of the material is 12 x 106 psi, and the allowable stress is 10,000 psi. Compute the
angle of twist between the two ends of the shaft
A.1.39 degrees B. 1.93 degrees
C. 1.48 degrees
D. 1.84 degrees
Solution:
S=
16T 1.44x106 lb 16(20,000)
;
=
ft 2
π(D)4
πD3
D = 0.4135 ft
πD4 π(0.4135)4
=
= 2.87x10−3
32
32
(20,000)(8)
TL
θ=
=
JG (2.87x10−3 )(1.728x109 )
J=
𝛉 = 𝟏. 𝟖𝟒𝟖 ≅ 𝟏. 𝟖𝟒
63. The density of nitrogen is 1.25 kg/m3 at STP. Determine the density of nitrogen at 42
deg C and 730 mm of mercury.
A. 1.04 kg/m3 B. 1.40 kg/m3
C. 0.96 kg/m3
D. 0.69 kg/m3
Solution:
P2 m
P1
=
ρ2 T1
ρ1 T1
760
730
=
1.25(273) ρ2 (315)
𝛒𝟐 = 𝟏. 𝟎𝟒 𝐤𝐠/𝐦𝟑
64. Air having an initial pressure of 1 atm, temperature of 80 deg F, and volume of 28.6
cu. ft. is compressed isentropically in a nonflow process to a final pressure of 120
psia. The final volume in cu. ft. is nearest to
A. 15.5
B. 12.1
C. 6.2
D. 3.7
Solution:
P1 = 1 atm
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1 𝑎𝑡𝑚
) = 8.1633 𝑎𝑡𝑚
14.7 𝑝𝑠𝑖𝑎
V1 = 28.6 ft³
𝑃2 = 120 𝑝𝑠𝑖𝑎 𝑥 (
𝑃1 𝑉1𝑘 = 𝑃2 𝑉2𝑘
(1)(28.6) 1.4 = (8.1633)(𝑉2) 1.4
𝑽𝒔 = 𝟔. 𝟐 𝒄𝒖. 𝒇𝒕
65. For churches, a general lighting load of _______ VA/m2 shall be used.
A. 12
B. 4
C. 8
D. 2
66. The number 1010 base 2 is equivalent to decimal number _________.
A. 6
B. 10
C. 8
D. 12
67. Absolute reference in a spreadsheet is used by inserting a ________ sign before the
column and row. This is used for data reference in another cell.
A. period
B. dollar
C. semi-column
D. hyphen
68. A pressure gage measure 20 kPa vacuum in a system. What is the absolute
pressure, if the atmospheric pressure is 101 kPa?
A. 121 kPa
B. 51 kPa
C. 81 kPa
D. 91 kPa
Solution:
𝑃𝑔𝑎𝑔𝑒𝑣𝑎𝑐𝑢𝑢𝑚 = −20 𝑘𝑃𝑎
𝑃𝑎𝑡𝑚 = 101 𝑘𝑃𝑎
𝑃𝑎𝑏𝑠 = 𝑃𝑔𝑎𝑔𝑒 + 𝑃𝑎𝑡𝑚 = 101 + (−20) = 𝟖𝟏𝒌𝑷𝒂
69. Earth’s surface is part of the
A. asthenosphere
C. benthosphere
B. Lithosphere
D. troposphere
70. This refers to energy-consuming equipment including motors, heaters, furnaces,
light sources and other devices which utilize electric energy, for any purpose.
A. Industrial Plant
C. Processing Plant
B. Utilization Equipment
D. Transformer
71. An aircraft in level flight is said to make a standard turn when it makes a complete
turn in two minutes. What is the banking angle in standard turn if velocity is 400 fps?
A. 24 deg
B. 33 deg
C. 48 deg
D. 55 deg
Solution:
𝜔=
2𝜋
𝑇
=
2𝜋
2min(60seconds)
=
𝜋
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r=
𝑣
𝜔
=
400
𝜋
60
= 7639.44 𝑓𝑡
𝜔2 𝑟
𝜃 = 𝑡𝑎𝑛-1(
𝑔
) = 𝟑𝟑 𝒅𝒆𝒈
72. A pilot tube is used to measure:
A. discharge
C. total energy of the fluid
B. velocity of fluid
D. all of these
73. The discharge through a 75-mm diameter orifice at the bottom of a large tank was
measured be 1734 liters in 1 minute. If the head over the orifice remains constant at
5.5m, compute the coefficient of discharge.
A. 0.84
B. 0.63
C. 0.78
D. 0.98
Solution:
𝐶𝑑 =
𝑄
𝐴√2𝑔ℎ
=
𝑄 = 𝐶𝑑𝐴√2𝑔ℎ
𝑙
1𝑚3
1𝑚𝑖𝑛
)( 3 )(
)
𝑚𝑖𝑛𝑢𝑡𝑒 10 𝑙 60𝑠𝑒𝑐𝑜𝑛𝑑𝑠
𝜋
75
( )(
)²√(2)(9.81)(5.5)
4 1000
(1734
𝑪𝒅 = 𝟎. 𝟔𝟑
74. An aluminum rod of initial length 10 cm is stretched to a length of 15 cm. Later, the
same rod is compressed to 12 cm. The true strain is nearest
A. 0.75
B. 0.16
C. 0.18
D. 0.20
Solution:
𝐿𝑖
12
Ԑ = ln( ) = ln ( ) = 𝟎. 𝟏𝟖
𝐿𝑜
10
75. When a pressure of 2.0 MPA is applied to a sample of kerosene, it contracts by 0.15
percent. The bulk modulus of kerosene is
A. 1.6 GPA
B. 1.8 GPA
C. 1.3 GPA
D. 1.1 GPA
Solution:
Mk =
𝛥𝑃
𝛥𝑉/𝑉
=
(2)(106)
(0.15)
= 𝟏. 𝟑𝑮𝑷𝑨
76. Which group of the periodic table is known as the alkali metals?
A. Group 1
B. Group 2
C. Group 3
D. Group 4
77. Which law states “Entropy of all perfect crystalline solids is zero at absolute zero
temperature”?
76
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A. Zeroth Law of thermodynamics
B. First Law of thermodynamics
C. Second Law of thermodynamics
D. Third Law of thermodynamics
78. In galvanized iron, a lining on iron is provided with:
A. Sn
B. Zn
C. Cu
D. Al
79. A metal cube, 2.00 cm on each side, has a density of 6600 kg/m³. Find its apparent
mass when it is totally submerged in water.
A.58.2 g
B. 52.8 g
C. 48.4 g
D. 44.8 g
Solution:
V = edge3 = (0.02)3 = 0.000008m3
W = ρgV = (6,600)(9.81)(0.000008) = 0.517968 N
W’ = ρ’gV = (1,000)(9.81)(0.000008) = 0.07848 N
App. W = 0.517968 – 0.07848 = 0.439 N
𝐴𝑝𝑝 𝑊
App mass =
= 0.0484 𝑘𝑔 = 𝟒𝟖. 𝟒𝒈
𝑔
80.
Determine the moment of inertia of an equilateral triangle 6 in on a side about an
axis through its side.
A. 70.1 in ⁴
B. 23.4 in ⁴
C. 35 in ⁴
D. 46.8 in ⁴
Solution:
Ix =
𝑏ℎ³
12
=
81. (U + PV) is a quantity called
A. Flow energy B. shaft work
6(3√3)³
12
= 𝟕𝟎. 𝟏𝟒𝟖 𝒊𝒏4
C. entropy
D. enthalpy
82. A 3HP refrigerator or heat pump operates between 0 deg F and 100 deg F. The
maximum theoretical heat that can be transferred from the cold reservoir is nearest 0
A.7,600 BTU/hr B. 13,000 BTU/hr C. 23,000 BTU/hr D.35,000 BTU/h
83. A department store changes one and one-half percent interest per month on credit
purchases. This is equivalent to a nominal annual interest rate of
A. 15 percent B. 18 percent
C. 19.6 percent
D. 21 percent
Solution:
𝑖=
𝑟
𝑚
𝑟 = 0.18 𝑥 100
77
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𝑟 = 𝑖𝑚
𝑟 = (0.015)(12)
𝒓 = 𝟏𝟖%
84. The element that is practically insoluble in solid is known as
A. Lead
B. Brass
C. Boron
D. Neon
85. The present worth of an obligation of P100, 000 due in 10 years if money is worth 9
percent is nearest to
A. P100,000
B. P90,000
C. P75,000
D. P45,000
Solution:
𝑃 = 𝐹 (1 + 𝑖)−𝑛
𝑃 = 100,000 (1 + 0.09)−10
𝑷 = 𝟒𝟐, 𝟐𝟒𝟏. 𝟎𝟖 ~ 𝟒𝟓, 𝟎𝟎𝟎
86. A company deposits P1, 000,000 every year for ten years in a bank. The
company makes no deposits during subsequent five years. If the bank pays 8
percent interest, the amount in the account at the end of 15 years is nearest to
A. P10,000,000
B. P15,000,000
C. P21,200,000
D. P 25,200,000
Solution:
𝐹 =𝐴[
𝐹 = 1𝑀 [
(1+𝑖 )𝑛 −1
𝑖
]
(1+0.08)10 −1
0.08
]
𝐹 = 𝑃 (1 + 𝑖𝑛)
𝐹 = 14.49 𝑀 [1 + (0.08)(5) ]
𝐹 = 14.49 𝑀
𝑭 = 𝟐𝟎. 𝟐𝟖 𝑴 ~ 𝟐𝟏. 𝟐 𝑴
87. What do you call materials that do not conduct electric current?
A. Conductor
B. Insulator
C. Semi-conductor D. Intrinsic Material
88. A branch of physical science which deals with the state of rest or motion of bodies
under the action of forces.
A. Mechanics B. Kinetics
C. Kinematics
D. Statics
89. A wire or cable carrying electric current, supported by poles, tower of other
structures, but not including vertical or lateral connecting wires.
78
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A. Transmission Line
B. Line Conductor
C. Conductor
D. Lateral Conductor
90. What refers to the value of an asset which is disinterested third party, different from
the buyer and seller, will determine in order to establish a price acceptable to both
parties?
A. Book value B. Market value
C. Fair value
D. Franchise value
91. A general term covering on assembly or assemblies of devices for switching,
interrupting, controlling, metering of electric power.
A. Enclosure
B. Switchgear
C. Switchboard
D. Panel board
92. In air conditioning of aircrafts, using air as refrigerant, the cycle used is:
A. Reversed Joule Cycle
C. Reverse Brayton Cycle
B. Reversed Carnot Cycle
D. Reverse Otto Cycle
93. What present sum would need to be put in savings account now to provide P10, 000
annual withdrawals for the next 50 years, if interest is 6 percent?
A. P175.620
B. P157,620
C. P262,490
D. P226,490
Solution:
F = A ((1 + i) n −
1
𝑖
P=
= 10,000 ((1+0.06) 50 –
𝐹
(1+𝑖)𝑛
=
2,903,359.046
(1+0.06)50
1
) = P2, 903,359.046
0.06
= P157,620
94. A 600N object is to be given an acceleration of 0.70m/s 2. How large an unbalanced
force must act upon it?
A. 43 N
B. 34 N
C. 93 N
D. 39N
Solution:
F=
𝑤
𝑔
𝑥𝑎=
600
9.81
𝑥 0.70 = 43N
95. The 160 lb. man stands on a spring scale resting on the floor of an elevator. Find the
scale reading if the elevator accelerates upward at 8ft/s2
A. 160 lb.
B. 130 lb.
C. 220 lb.
D. 200 lb.
Solution:
79
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160
𝑚
(32.2 + 8)
𝑥 (𝑎 + 𝑔) =
32.2
𝑔
= 𝟏𝟗𝟗. 𝟕𝟓 ≈ 𝟐𝟎𝟎𝐥𝐛𝐬.
96. Find the elongation in cm of a straight bar 12m long due to its own weight if hung.
The value of modulus of elasticity of the material is unknown. However, it is known
that the modulus of rigidity is 88 GPA. Poisson’s ratio is 0.25 and density of 0.0086
kg/cm³.
A. 0.0266 cm
B. 0.0662 cm
C. 0.00266 cm
D. 0.00662 cm
Solution:
δ=
𝑝𝑔𝐿2
2𝐸
0086𝑘𝑔 1003 𝑐𝑚
𝑥
= 8600𝑘𝑔/𝑚3
1𝑚3
𝑐𝑚3
𝐸 = 2𝐺(1 + 𝜇)
𝐸 = 2(88𝑥109 )(1 + 0.25)
𝐸 = 2.2𝑥1011
(8600)(9.81)(12)2
δ=
2(2.2𝑥1011 )
𝛅 = 𝟐. 𝟕𝟔𝟏𝟎𝟔𝐱𝟏𝟎−𝟓 𝒙 𝟏𝟎𝟎 = 𝟎. 𝟎𝟎𝟐𝟕𝟔 ≈ 𝟎. 𝟎𝟎𝟐𝟔𝟔𝒄𝒎
97. The second period contains how many elements
A. 2
B. 4
C. 6
D. 8
98. Mercury cannot wet a glass tube. That is due to:
A. Cohesion
B. adhesion
C. surface tension D. viscosity
99. Water falling from a height of 120 ft. at the rate of 100 drives a turbine that is directly
connected to an electric generator. The generator rotates at 120 rpm. If the total
resisting torque due to friction and other losses is 250lb-ft and the water leaves the
turbine blades with a velocity of 15fps, the horsepower developed by the generator
is nearest to
A. 207
B.214
C. 221
D. 228
100. How many atoms are there per unit cell of a BCC structure?
A. 1
B.2
C. 3
D. 4
80
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ESAS PRE-BOARD EXAM MARCH 2016
19. Which of the following is Charle’s law?
A. V = k x
1
𝑃
B.
P1
T1
=
P2
T2
C. PV = mRT
20. Which of the following is the ideal gas law?
V
𝐴. = k
T
B.
P1
T1
=
P2
T2
21. FTTH means _________.
A. Flexible To The House
B.FlexibleTo The Home
𝐕
D. = k
𝐓
C. PV = mRT
D. V = k x
1
𝑃
C. Fiber To The House
D. Fiber To The House
22. A device used in Thermal power plant to reduce air pollution?
A. Pulverizer
B. Precipitator
C. Disulfurizer
D. Chimney
23. What are elements that have properties intermediate between metals and
nonmetals?
A. Gases
B. Solids
C. Metalloids
D. Liquids
24. What is the primary purpose of PEC?
A. to serve as guide for the untrained personnel
B. is to conserve electrical energy
C. is the practical safeguarding of persons and property
D.to serve as manual guide for design
25. The primary winding of a step-up transformer 240/6000 V has 150 turns. The
secondary winding has many turns?
A. 3750
B. 4000
C. 3500
D. 4250
Solution:
Secondary Winding =
(150)(6000)
240
𝑆𝑒𝑐𝑜𝑛𝑑𝑎𝑟𝑦 𝑊𝑖𝑛𝑑𝑖𝑛𝑔 = 𝟑𝟕𝟓𝟎 𝒕𝒖𝒓𝒏𝒔
26. What is the effective annual interest rate on a loan if the nominal interest rate is 12
percent per compounded quarterly?
A. 11.75 percent
C. 12.25 percent
B. 12 percent
D. 12.55 percent
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Solution:
𝑟
ER = (1 + )𝑚 − 1
ER = (1 +
𝑚
0.12 4
)
4
−1
ER = 0.1255 x 100
𝑬𝑹 = 𝟏𝟐. 𝟓𝟓%
27. An investment of $350,000 in made to be followed by payments of $200,000 each
year for three years is the annual rate of return on investment for this payment?
A. 15 percent B. 32.7 percent
C. 41.7 percent
D. 57.1 percent
Solution:
(1+𝑖)𝑛
P =𝐴 [𝑖( 1+𝑖)𝑛 ]
(1+𝑖)3
350000 = 200000 [𝑖( 1+𝑖)3 ]
𝑖 = 0.327 𝑥 100
𝒊 = 𝟑𝟐. 𝟕%
28. Vertical clearance from ground. Service-drop conductors where not in excess of 600
volts, nominal shall the minimum clearance from final grade of _______ over
residential property and driveways, and commercial areas not subject to truck traffic
where the voltage does not exceed 300 volts to ground.
A. 3100 mm
B. 3700 mm
C. 4600 mm
D. 5500 mm
Solution:
Not exceed 300V to ground
From NEC 3.7m (12)
3.7m × 1000mm
=
1m
∴ 𝟑𝟕𝟎𝟎𝒎𝒎
29. When the circuit breakers are installed in enclosed switchboards, they are usually
derated to a percentage. What is this percentage?
A. 60 percent B. 50 percent C. 80 percent D. 70 percent
Solution:
82
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
Circuit Breaker = 80% standard allow extra 25% capacity for
Continuous load to make 100%.
30. A user has to download 800 KB file using 28.8 kmodem. How long will the file be
downloaded?
A. 3.2 min
B. 3.6 min
C. 3.7 min
D. 3.9 min
Solution:
28.8 kmodem = 28.8 kbps= 3.6 kBps
T=
800kB
3.6kBps
= 222.222𝑠𝑒𝑐 = 𝟑. 𝟕 𝒎𝒊𝒏
31. Vinegar is solution of H2O and what acid?
A. sulfuric acid B. acetic acid
C. phosphoric acid D. nitric acid
32. What is the other term for storing data in a memory?
A. reading
B. loading C. memorizing
D. writing
33. What is the common input device?
A. speaker
B. keyboard C. mouse
D. LCD
34. Subtract (1010) base 2 from (20) base 8. Express the answer in decimal
A. 7
B. 5
C. 4
D. 6
Solution:
20 base 8 = 10000
10000 – 1010 = 0 / 1 / 1 /0
84
2 1 = 6 in decimal
35. The ability of the surface of material to reflect light is called
A. creep
B. malleability
C. lustre
D. ductility
36. The mole is a basic unit of measurement in chemistry. Which of the following is not
equal so or the same as one mole of the substance indicated?
A. 22.4 liters of nitrogen gas as STP
B. 6.02x1023 oxygen molecules
83
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C. 1 g of hydrogen atoms
D. 16 g of oxygen molecules
37. The plates of a parallel-plate capacitor are 10 cm square and 1.0 mm apart. Find its
capacitance
A. 78 pF
B. 98 pF
C. 87 pF
D. 89 pF
Solution:
C=kA/D
K = 8.854 x10−12
A =10x10−2m
D = 1.0x10−3
C=
(8.854x10^−12)(10x10^−2)
(1.0x10−3)
𝑪 = 𝟖𝟗𝒑𝑭
38. The process of outsmarting the search engine.
A. Google Fooling
C. Search Engine Optimization
B. Rank Enhancement
D. Search Engine Hacking
39. A particle is moving with its acceleration parallel to velocity. What is the direction of
the particles?
A. circle
B. linear
C. parabolic D. never
40. Find the depth of the water having a pressure of 1.01x105kPa at the bottom
(pH2O = 1000 kg/cu. m.)
A. 12,400 m
B. 9,800 m
C. 10,300 m D. 11,200 m
Solution:
= (1.01𝑥105 )𝑥103
ℎ =
= 𝟏𝟎, 𝟑𝟎𝟔. 𝟏𝟐𝟐 𝒎
(1000)(9.8)
41. A device produces 37.5 J per cycle. There is one power stroke per cycle. Calculate
the power output device is run at 45 rpm?
A. 14.063 W
B. 4.69 W
C. 27.56 W
D. 28.125 W
Solution:
84
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𝑃 = 37.5 (45)(1/60)
∴ 𝑷 = 𝟐𝟖. 𝟏𝟐𝟓 𝑾
42. The velocity of the object changes from 30 mph to 90 mph. Find the ratio of the
kinetic energy.
A. 9
B. √3
C. 6
D. √6
Solution:
KE =
1
2
𝑚𝑣 2
Assuming a constant mass of 1kg
1
KE1 = ( )(1kg)(30)2 = 450
2
1
KE2 = ( )(1kg)(90)2 = 4050
2
𝑅𝑎𝑡𝑖𝑜 𝑜𝑓 𝑘𝑖𝑛𝑒𝑡𝑖𝑐 𝑒𝑛𝑒𝑟𝑔𝑦 𝑜𝑓 𝑉1 𝑎𝑛𝑑 𝑉2 = 𝐾𝐸2 /𝐾𝐸1 =
4050
= 𝟗
450
43. What do you call the kind of wire used to bind the service drop to the service point?
A. Joint wire
B. Splice wire
C. Tie wire
D. None of these
44. What device used to measure fluid velocity as well the velocity of fluid inside a
pipe?
A. Barometer B. Pivot Tube
C. Hydrometer
D. Thermometer
45. The board of Electrical Engineering is composed of one chairman and how many
members?
A. 2
B. 3
C. 4
D. 5
46. The term “Thermodynamics” comes from the Greek words “Therme” and
“Dynamis” which means?
A. heat, power B. heat, motion
C. heat, transfer
D. heat, energy
47. An object moving in a circle at a constant speed has an acceleration that is
A. in the direction of motion
C. away from the center of the circle
B. toward the center of the circle
D. zero
48. Which of the following is the basic equation of accounting?
A. Assets = Liability + owner’s equity
B. Liability = Assets + owner’s equity
85
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C. Owner’s equity = Assets + liability
D. Owner’s equit = Liability + Assets
49. You are standing on a bathroom scale in an elevator, in which of these situation
must the same as when the elevator is at rest?
A. Moving up at constant speed
B. Moving up with increasing speed
C. Moving down with increasing speed
D. in free fall (after the elevator cable has snapped)
50. A steel rod of circular cross-section of diameter d = 1.25 in. is to carry a tensile load
P = 5 maximum sheering stress in the rod.
B. 2.04 ksi
A. 4.07 ksi
C. 5.43 ksi
Solution:
S=
S=
𝑃
𝐴
=𝜋
5
4
D. 1.27
ksi
𝑃
(𝑑)2
𝜋
(𝑑)2
4
𝑆 = 𝟒. 𝟎𝟕 𝒌𝒔𝒊
51. What is another term for “acid-test ratio”?
A. Quick Ratio
C. Current Ratio
B. Price-earnings Ratio
D. Profit margin ratio
52. What is the force per unit area?
A. work
B. energy
C. pressure
D.power
53. What principle behind in a hydraulic brake of the automobile?
A. Archimedes Principle
B. Bernoulli’s Principle
C. Stoke’s Principle
D. Pascal’s Principle
54. The measure of randomness or disorder is known as the ________.
A. entropy
B. enthalpy C. energy
D. power
55. Applicants for registered master electrical’s examination must be at least _____
years of age.
86
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A. 18
B. 19
C. 20
D. 21
56. Which of the following is not a part of the requirements to take free examination?
A. he is citizen of the Philippines
B. He is at least twenty-one (21) years of age
C. He is good reputation with low morale values
D. He has not been finally convicted by the court of an offense involving moral
turpitude
57. If you leave the refrigerator door open and the refrigerator runs continuously, the
kitchen will
A. get cooler
C. get warmer
B. remain as the same temperature
D. get warmer or colder
58. If a refrigerator uses 1.5 KJ to cool a 1 KJ input. What was the heat transferred to
the kitchen?
A. 1 kJ
B. 2 kJ
C. 0.5 kJ
D. 2.5 Kj
Solution:
∆U=U2-U1
∆U=1.5KJ -1KJ
∆𝑼 = 𝟎. 𝟓 𝑲𝑱
59. Find the amount of money you have to deposit in order to accumulate P1,500 per
quarter for interest rate of 12% compounded quarterly.
A. P4,958.71 B. P4,598.71
C. P34,672.16
D. P36,
Solution:
N= 10 years
P=1500 |
1−(1+
0.12 −10(4)
)
4
0.12
4
|
∴ 𝑷 = 𝑷 𝟑𝟒, 𝟔𝟕𝟐. 𝟏𝟔
60. Find the equivalent annual rate of interest of 8% compounded quarterly.
A. 8.42%
B. 8.24%
C. 6.46%
D. 6.64%
Solution:
87
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(1 +
𝑟 𝑚
𝑟
) − 1 = (1 + )𝑚 − 1
𝑚
𝑚
𝑟
0.88 4
(1 + )1 − 1 = (1 +
) −1
1
4
1 + r = 1.0824
r = 1.0824 – 1
r = 0.0824 x 100
𝒓 = 𝟖. 𝟐𝟒%
61. Find the equivalent quarter interest of 8.5% annual rate.
A. 8.42%
B. 8.24%
C. 2.12%
D. 2.06%
Solution:
𝑟
𝑟
(1 + )𝑚 − 1 = (1 + )𝑚 − 1
𝑚
𝑟
(1 + )4 − 1 = (1 +
1
𝑟
4
(1 + ) = √1.085
4
𝑚
0.085 1
)
1
−1
r = 4 (1.021 – 1)
r = 0.0824 x 100
𝒓 = 𝟖. 𝟐𝟒%
62. A motorcycle is moving in a semi-circular hill with 10-m radius of curvature. What
should be the velocity to prevent airbourne?
A. 10.2 m/sec
B. 6.3 m/sec
C. 8.7 m/sec
D. 9.9 m/sec
63. Process of posting latitude and longitude to picture and images.
A. Podcasting B. Geotagging
C. Flagging D. Posting
64. An escalator raises a 100 kg bucket of sand 10 m in 1 minute. Determine the total
amount during the process.
A. 9800
B. 32200
C. 102
D. 98
Solution:
88
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
Energy = Force X distance
m
(100 kg) (9.8 2 ) (10 m)
𝑠
∴ 𝟗𝟖𝟎𝟎 𝑵 − 𝒎 𝒐𝒓 𝑱𝒐𝒖𝒍𝒆
65. A price tag of P1450 is paid in 70 days, but if paid within 35 days it will have a 5
percent discount. What is the rate of interest?
A. 52 percent B. 15 percent
C. 54 percent
D. 36 percent
Solution:
i= d/1-d
i=
(5%)
(1−5%)
𝒊 = 𝟓𝟐%
66. An ice with mass of 0.9 kg is freely floating in water. Find the buoyant force
experience by the
A. 7.8 N
B. 8.82 N
C. 10.2 N
D. 9.64 N
Solution:
Fb = pgV
Fb = mg
m
Fb = (0.9) (9.8 2 )
Fb = 8.82
𝑠
67. The process of detecting. Locating and correcting logic errors in a program
A. compiling
B. reading
C. deteting
D. debugging
68. In any collision, which of the following is conserved.
A. kinetic energy
B. velocity
C. momentum
D. potential
69. A manometer is used to measure?
A. positive pressure
C. atmospheric pressure
B. negative pressure
D. positive as well as negative pressure
70. The maximum bending moment in a cantilever of span L carrying a U.D.L of
intensity w per unit length is.
A. wL2
B. wL2/2
C. 2 wL2
D. wL2/8
89
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71. The process of mixing clay, water and other ingredients to make brick is known as
A. kneading
B. moulding
C. pugging
D. dying
72. Jeff regularly buys 16 gallons of gas, but the gas station has installed new pumps
that are measured in liters. How many liters of gas (rounded off to a whole number)
should he ask for?
A. 95
B. 59
C. 86
D. 68
Solution:
16gal x 3.785lit
=
1gal
=60.56
∴ 𝟓𝟗 𝒍𝒊𝒕.
73. One Newton is equivalent to
A. 106 dyne
B. 107 dyne C. 108 dyne D. 109 dyne
74. Otto cycle is also known as
A. Constant pressure cycle
B. Constant volume cycle
C. Constant temperature cycle
D. Constant entropy cycle
75. What is the most common alloying ingredient in copper?
A. Iron
B. Zinc
C. Lithium
D. Magnesium
76. A car going 85 kph on a straight road is brought uniformly to a stop in 10 s. How far
does the car travel during that time?
A. 90 m
B. 100 m
C. 120 m
D. 110 m
Solution:
S=
𝑉𝑜+𝑉𝑓
2
Vo = 0
Vf =
85 𝑘𝑚
𝑆 =
ℎ𝑟
𝑥
1000𝑚
1𝑘𝑚
𝑥
1ℎ𝑟
(𝑡)
60 𝑚𝑖𝑛𝑠.
𝑥
1𝑚𝑖𝑛
60 𝑠𝑒𝑐𝑠
= 23.61
0 + 23.61
𝑥10 = 𝟏𝟏𝟖. 𝟎𝟓 ≈ 𝟏𝟐𝟎𝒎
2
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𝑚
𝑠
90
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77. Which of the following conductors is not applicable on wet locations?
A. Type THHN B. Type THW
C. Type RHW
D. Type THWN
78. Which characteristic of a wave changes as the wave travels across a boundary
between two different m
A. frequency
B. period
C. phase
D. speed
79. For office building, a general lighting load of ____ VA/m 2 shall be used.
A. 12
B. 16
C. 24
D. 28
80. The platter of the hard drive of a computer rotates at 7200 rpm. If the reading head
of the drive is 3.00 cm from the rotation axis, what is the linear speed of the point on
the platter just below it?
A. 22.6 m/s
B. 26.2 m/s C. 18.9 m/s D. 19.8 m/s
Solution:
𝐿𝑖𝑛𝑒𝑎𝑟 𝑆𝑝𝑒𝑒𝑑 =
7200𝑟𝑒𝑣 1 𝑚𝑖𝑛 2𝜋𝑟𝑎𝑑 3𝑥10−2
𝒎
𝑥
𝑥
𝑥
= 𝟐𝟐. 𝟔
1 𝑟𝑎𝑑
𝑚𝑖𝑛
60 𝑠𝑒𝑐𝑠 1 𝑟𝑒𝑣
𝒔
81. A market situation where there is only one seller with many buyers.
A. Monopoly
B. Monopsony
C. Oligopoly
D.Oligopsoly
82. Study of motion with reference to the force which causes the motion is.
A. kinematics
B. kinetics C. statics
D. dynamics
83. A man who won P300, 000 in a lottery decided to place 50 percent of his winnings
in a college education of his son. If the money earn 14 percent a year compounded
quarterly, how man have at the end of 10 years, when his will starting his college
education?
A. P593, 467.98
C. P593, 888.96
B. P682, 456.96
D. P375, 958.
Solution:
𝑟
𝐹 = 𝑃 (1 + )𝑛
𝑚
𝐹 = 150,000 (1 +
0.14 10(4)
)
= 𝑷𝟓𝟗𝟑, 𝟖𝟖𝟖. 𝟗𝟔
4
91
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REGISTERED ELECTRICAL ENGINEERS PRE-BOARD EXAMINATION
MARCH 2016
ENGINEERING SCIENCES AND ALLIED SUBJECTS
84. In RA 7920, section 23 of article III: Issuance of Certificates of Registration. The v
bprofessional is renew licence every _______ years upon payment of registration
fees.
A. 1
B. 2
C. 3
D. 6
85. Water flows from a reservoir with an elevation of 25 m out a short pipe that contains
a turbine power. The exit is at an elevation of 5 m. If the flow rate is 0.01 m 3/s, the
maximum power output is.
A. 1960 W
B. 2430 W
C. 2560 W
D. 3480 W
Solution:
P = γQH
KN
P = (9.81
) (0.01
m³
m³
s
) (25m - 5m)
∴ 𝑷 = 𝟏𝟗𝟔𝟐 𝑾 𝒐𝒓 𝟏𝟗𝟔𝟎 𝑾
86. It is the ratio of the ultimate stress to the allowable stress.
A. proportionally constant
B. strain
C. bulk modulus
D. factor of
87. What is the entropy of a pure substance at a temperature of absolute zero?
A. Unity
B. Zero
C. Infinity
D. Undefined
88. Which of the following closely related to d’Alembert’s theorem?
A. Newton’s first law of motion
C. Newton’s third law of motion
B. Newton’s second law of motionD. Bernoulli’s theorem
89. What is the energy equivalent of a mass of 1 kilogram?
A. 4.5 x 1016 J
B. 9 x 1016 J
C. 4.5 x 1012 J
90. What element is known as the lightest metal?
A. Aluminium
B. Manganese
C. Magnesium
D. 9 x 1012
J
D. Lithium
91.
The area of the shear diagram of a beam between any two points on the beam is
equal to the
A. change in shear between the two points.
B. total shear beyond the two points.
C. change in moment between the two points.
D. change in deflection between the two points.
92.
Which element is the best conductor of electricity?
92
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
A. gold
93.
B. silver
C. copper
D. aluminium
An automobile uses 100 hp to move at a uniform speed of 60 mph. What is the
thrust force provided by the engine?
A. 530 lbf
B. 625 lbf
C. 1100 lbf
D. 1800 lbf
Solution:
𝑷=𝑭𝒙𝑽
100(550) = 𝐹 𝑥 [60 𝑥
94.
5280
]
3600
𝑓𝑡⁄
𝑠
∴ 𝑭 = 𝟔𝟐𝟓 𝒍𝒃 − 𝒇𝒕
Litmus paper changes from blue to red when a solution tested is
A. a blue dye
B. an acid
C. a red dye
D. a base
95.
RA 9136 has four sectors, which of the following is not included?
A. system operation B. supply C. distribution
D. generation
96.
The radius of gyration of a circular section of diameter d is:
A. d/16
B. d/4
C. d
97.
Enthalpy of an ideal gas is a function only of
A. internal energy
B. pressure
98.
C. the product of pressure and specific volume
D. temperature
A homogeneous round bar of diameter D, length L, and total weight W is hung
vertically from one end. If the modulus of elasticity, what is the tota; elongation of
the bar?
A.
99.
D. d/2
B.
C.
D.
A heavy brass plumb-bob suspended from a 38-inch cord was observed to have
a natural period of osci of about two seconds if pulled 24 inches to one side and
then allowed to spring freely. If an astronaut repeat this experiment on the moon
where the gravitational attraction is approximately 1/6 th that of the observed
period would be:
A. 0.33 second
B. 0.82 second
C. 4.90 seconds
D. 12 seconds
Solution:
93
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
100. It is the claim of anyone to ownership.
proprietorship
B. liability
C. equity
D. assets
94
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MARCH 2015
ENGINEERING SCIENCES AND ALLIED SUBJECTS
ESAS PRE-BOARD EXAM AUGUST 2015
1. An iceberg has a density of 917 kg/m3. If it floats in freshwater, what percent of
iceberg’s volume will be visible?
A. 91.7%
B. 8.3%
C. 93.1%
D. 6.9%
Solution:
% 𝑣𝑖𝑠𝑖𝑏𝑙𝑒 = 1 −
917 𝑘𝑚/𝑚3
1000 𝑘𝑔/𝑚3
% 𝑣𝑖𝑠𝑖𝑏𝑙𝑒 = 𝟖. 𝟑%
2. An iceberg has a density of 917 kg/m3. If it floats in freshwater, what percent of
iceberg’s volume is submerged?
A. 91.7%
B. 8.3%
C. 93.1%
D. 6.9%
Solution:
917 𝑘𝑚/𝑚3
% submerged = 1 - 1000 𝑘𝑔/𝑚3
∴ 𝟗𝟏. 𝟕%
3. Commercially used pressure measuring device is
A. Bourdon tube gauge
C. Kelvin gauge
B. Manometer
D. Barometer
4. In thermodynamics we focus our attention on which forms of energy?
A. kinetic
B. potential
C. internal
D. total
5. The purpose of copper steel alloying is to increase
A. atmospheric corrosion resistance
C. corrosion resistance
B. hardness and strength
D. deoxidation
6. The abbreviation for binary digit
A. bid
B. bin
7. A carwash area is classified as
A. Wet location
B. Dry location
C. bit
C. Damp location
D. Moist location
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
8. Installations underground or in concrete slabs or masonry in direct contact with the
earth.
A. Wet location
C. Damp location
B. Dry location
D. Moist location
9. What impurity in steel can cause “red shortness” which means the steel becomes
unworkable at high temperature?
A. Sulfur
C. Manganese
B. Silicon
D. Phosphorus
10. A system or circuit conductor that is intentionally grounded.
A. Grounding Conductor
C. Grounding Electrode Conductor
B. Grounded Conductor
D. Grounding Equipment
11. A conducting connections, whether intentional or accidental, between an electric
circuit or equipment and the earth, or to some conducting body that serves in place
of the earth.
A. Grounded
B. Ground
C. Short
D. Fault
12. Aluminum can be added to steel to produce
A. killed steel B. dead steel
C. live steel
D. first steel
13. Which of the following is an alkaline earth metal?
A. Ba
B. Ti
C. Li
D. Na
14. The second law of thermodynamics can be stated as:
I. Heat flows spontaneously from a hot object to a cold one, but not the reverse;
II. Natural processes tend to move toward a state of greater disorder or greater
entropy
A. I only
B II only
C. I and II
D. Neither I nor II
15. Structural steel elements subjected torsion develop
A. tensile stress
C. shearing stress
B. compressive stress
D. bending stress
16. Formula of kinetic energy:
A. v2/2m
B. mv2/2
C. 2mv2
D. mgh
17. The three moment equation may be used to analyze
A. a continuous beam
C. a step tapered column
B. a beam loaded at the third points
D. a three element composite beam
96
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
18. An essential part of a large dam and provides an efficient and safe means of
releasing flow of water that exceeds the design capacity of the reservoir.
A. spillway
B. weir
C. culverts
D. standpipe
19. An open system first law should be utilized for all of the following except:
A. nozzle
B. turbine
C. a piston-cylinder device with no inlet/exhaust valves
D. a compressor
20. The property that characterizes a material’s ability to be drawn into wire is its
A. tensile strength
C. ductility
B. thermal conductivity
D. fatigue endurance limit
21. You need P40,000 per year for four years to go to college. Your father invested
P50,000 in a 7% account for your education when you were born. If you withdraw
the P40,000 at the end of your 17th, 18th, 19th, and 20th years, how much money will
be left in the account at the end of your 21st year?
A. P17,000
B. P25,000
C. P34,000
D. P40,000
Solution:
At condition 1:
P = P50,000
i = 0.07
n = 21
At condition 2:
P = P40,000
i = 0.07
n=4
( 1 + 0.07)4 − 1
= 50,000( 1 + 0.07)21 – 40,000 [
] (1 + 0.07)
0.07
∴ 𝑷𝟏𝟔, 𝟗𝟗𝟖. 𝟓𝟔 ≈ 𝑷𝟏𝟕, 𝟎𝟎𝟎
22. What do you call a system in which there is a flow of matter through the boundary?
This system usually encloses the device that involves mass flow, such as
compressor, turbine, or nozzle.
A. Closed system
B. Open system
C. Isolated system
97
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D. All of these
23. What system in which there is no exchange of matter with the surrounding or mass
does not cross its boundaries?
A. Closed system
B. Open system
C. Isolated system
D. Non flow system
24. Find the present worth if interest after 3 years and 6 months is P900 at simple
interest rate of 4% per annum.
A. P6,429
B. P6,249
C. P6,117
D. P6,171
Solution:
𝐼 = 𝑃𝑖𝑛
900 = 𝑃 (0.04) (3.5)
𝑃 = 𝑷𝟔𝟒𝟐𝟖. 𝟓𝟕 ≈ 𝑷𝟔𝟒𝟐𝟗
25. Which of the following is not a function of computer?
A. understanding
B. processing
C. controlling
D. inputting
26. Change in enthalpy occurs at constant _________.
A. pressure
B. volume
C. temperature
D. entropy
27. The first law of thermodynamics is based on which of the following principles?
A. Conservation of mass
C. Action and reaction
B. Conservation of energy
D. The entropy-temperature relationship
28. Impulse type turbine named after his creator.
A. Pelton
B. Kaplan
C. Francis
D. Propeller
29. In flow chart, what is the symbol used in decision making?
A. oval
B. rectangle
C. diamond
D. square
30. Which of the following is not a fundamental rule in PEC?
A. Construction Rule
C. Installation Rule
B. Wiring Rule
D. Manufacturing Rule
31. Reversed Joule cycle is also known as
A. Ranking Cycle
98
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B. Sterling Cycle
C. Brayton Cycle
D. Bell-Coleman Cycle
32. Also known as PRC Renewal Law
A. R.A. 8189
B. R.A. 8981
33. 111 + 110 = __________?
A. 1100
B. 1110
C. R.A. 7920
D. R.A. 7918
C. 1101
D. 1011
C. 6810
D. 6809
Solution:
111
+ 110
1101
34. 1A9B is __________ in decimal?
A. 6812
B. 6811
Solution:
1A9B
11 x 160 =11
9 x 161 = 144
10 x 162 = 2560
1 x 163 = 4096
681110
35. What is the final temperature of the mixture if 128g of cold water at 3° C is mix with
289g of hot water at 91° C?
A. 72° C
B. 62° C
C. 78° C
D. 64° C
Solution:
Q gained = Q loss
M1C∆T = M2C∆T
M1C (T mix – T1) = -M2C (T mix – T2)
(128g) (1) (T mix – 3) = -(289g) (1) (T mix – 91)
𝑻 𝒎𝒊𝒙 = 𝟔𝟑. 𝟗𝟖° 𝑪 ≈ 𝟔𝟒° 𝑪
99
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REGISTERED ELECTRICAL ENGINEERS PRE-BOARD EXAMINATION
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
36. In piston-cylinder arrangement if weight of 15,000 N located at bigger piston of A =
0.1 sq. m., what is the force exerted in a smaller piston with A = 0.002 sq. m.?
A. 200 N
B. 400 N
C. 300 N
D. 150 N
Solution:
𝐹1 𝐹2
=
𝐴1 𝐴2
𝐹2
15,000 𝑁
=
0.002 𝑚2
0.1 𝑚2
𝐹2 = 𝟑𝟎𝟎𝑵
37. ASCII means
A. American Standard Code for Information Output
B. American Standard Code for Input Information
C. American Standard Capacity for Information Input
D. American Standard Code for Information Interchange
38. WWW stands for
A. World Wide War
B. World Wide Web
C. World Wide Wrestling
D. World Wide Workers
39. ALU stands for
A. Arithmetic Logic Unit
B. Arithmetic Logical Unit
C. Arithmetic Logic User
D. Arithmetic Logical User
40. The simple mathematical statement of the relationship between elastic stress and
strain: stress is proportional to strain. What is this law?
A. Boyle’s Law B. Hooke’s law
C. Charle’s Law
D. Gas Law
41. 1 kwhr is how many kilojoules?
A. 360
B. 3600
C. 1000
D. 100
42. Given a spring with a spring constant of 60 N/m. What is the work done in
compressing by 4.2cm?
A.0.02 J
B. 0.06 J
C. 0.03 J
D. 0.05 J
Solution:
100
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𝐾 = 60
𝑁
𝑚
1𝑚
= 0.042 𝑐𝑚
100𝑐𝑚
𝐾𝐸 = ½ (60) (0.042𝑐𝑚)2
𝑲𝑬 = 𝟎. 𝟎𝟓𝟐𝟗𝟐 𝑱 ≈ 𝟎. 𝟎𝟓 𝑱
𝑋 = 4.2 𝑐𝑚 𝑥
43. Find the required diameter of steel member if the tensile design load is 6,000
pounds. Assume a safety factor of 5 based on an ultimate strength of 65,000 lbf/sq.
in.
A. 0.98 in
B. 0.86 in
C. 0.77 in
D. 0.69 in
Solution:
SF =
5=
𝑆 𝑢𝑙𝑡𝑖𝑚𝑎𝑡𝑒
𝑆 𝑎𝑙𝑙𝑜𝑤𝑎𝑏𝑙𝑒
65,000
𝑆 𝑎𝑙𝑙𝑜𝑤𝑎𝑏𝑙𝑒
S allowable = 13,000 lbf/in2
𝑃
𝑆 =
𝐴
6,000
13,000 = 𝜋(𝑑)2
4
𝒅 = 𝟎. 𝟕𝟕 𝒊𝒏
44. A rocket with an ejection of 2200 m/s is ejecting 1 percent of its mass per second.
What is the initial acceleration?
A. 24 m/s2
B. 22 m/s2
C. 20 m/s2
D. 12 m/s2
Solution:
a=
𝑣
𝑑𝑚
𝑑𝑡
𝑚
-g
= 2200 (0.01) – 9.81
𝑎 = 𝟏𝟐. 𝟏𝟗
𝒎
𝒔𝟐
45. Given impulse of 500 N·s. If a mass of housing is 1400 kg and released a mass of
1000 kg, what is the velocity of separation?
A. 0.1429
B. 0.8571
C. 0.1786
D. 1.25
Solution:
𝐹∆𝑡 = 𝑚∆𝑉
500 𝑁 · 𝑆 = 𝑚𝐻 (𝑉2𝐻 – 𝑉)
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500 𝑁 · 𝑆 = 1400 𝑘𝑔 (𝑉2𝐻 – 𝑉) 𝑒𝑞. 1
−500 𝑁 · 𝑆 = 𝑚𝑅 (𝑉2𝑅 – 𝑉)
−500 𝑁 · 𝑆 = 1000 𝑘𝑔 (𝑉2𝑅 – 𝑉) 𝑒𝑞. 2
Solving eq. 1 and eq. 2
𝑉2𝐻 – 𝑉2𝑅 = 𝟎. 𝟖𝟓𝟕𝟏
46. With initial price of P3,000, with 7 percent discount, how much is the discount price?
A. P250
B. P220
C. P200
D. P210
Solution:
𝐷𝑝 = 3000 𝑥 0.07
𝑫𝒑 = 𝑷𝟐𝟏𝟎
47. A price of P1,500 is payable for 70 days, but it has 5 percent discount if paid within
35 days. What is the annual interest rate?
A. 52%
B. 15%
C. 54%
D. 36%
Solution:
𝐹 = 0.95𝐹 (1 + 𝑖𝑛)
35
))
360
𝑖 = 𝟎. 𝟓𝟒𝟏𝟑 𝒐𝒓 𝟓𝟒. 𝟏𝟑%
1500 = 0.95 (1500) (1 = 𝑖 (
48. An empty glass was initially place with a cube ice. A water was filled into a glass
such that the ice at the tip of the glass. What will happen after the ice melts?
A. cannot be determine since no density of ice and water are given
B. some spilled
C. some spilled on the side of the glass
D. nothing spilled
49. An object is placed 3 feet from the center of a horizontally rotating platform. The
coefficient of friction is 0.30. The object will begin to slide off when the platform
spend is nearest to:
A. 12 rpm
B. 17 rpm
C. 22 rpm
D. 33 rpm
Solution:
Æ©Fv = 0
102
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N-𝜔 = 0
N = 𝜔 = mg
Æ©FH = MaH = Map
µN = Mar
V2 = µgr
(𝜔r)2 = µgr
𝜔2 r2 = µgr
µð‘”
𝜔2 =
𝑟
µð‘”
𝜔=√
𝑟
(0.30)(32.2)
=√
3
𝜔 = 1.79
𝑟𝑎𝑑
𝑠𝑒𝑐
x
1 𝑟𝑒𝑣
2𝜋 𝑟𝑎𝑑
x
60 𝑠𝑒𝑐
1 𝑚𝑖𝑛
𝝎 = 𝟏𝟕. 𝟎𝟗 𝒓𝒆𝒗/𝒎𝒊𝒏 ≈ 𝟏𝟕 𝒓𝒑𝒎
50. Regnault’s law relates to
A. Internal Energy
B. Specific Heat
51. Dual Combustion cycle is used in:
A. Petrol Engine B. Diesel Engine
52. In a Throttling process
A. There is no work done
B. There is no heat transfer
C. Specific Volume D. Entropy
C. Steam Engine
D. Gas Turbine
C. There is no change in enthalpy
D. All of these
53. For some interest rate i and some number of interest periods n, the uniform series
capital recovery factor is 0.0854 and the sinking fund factor is 0.0404. The interest
rate i must be
A. 3.5 percent B. 4.5 percent
C. 6 percent
D. 8 percent
Solution:
𝑆𝐹 + 𝑖 = 𝐶𝑅𝐹
0.0404 + 𝑖 = 0.0854
𝑖 = 0.0854 – 0.0404
𝑖 = 0.045 𝑥 100
𝒊 = 𝟒. 𝟓%
54. A 60-inch diameter steel pipe, 3/8-inch-thick, carries water under a pressure head of
550 feet. Determine the hoop stress in the steel.
103
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A. 4,760 psi
B. 38,080 psi
C. 9,520 psi D. 19,040 psi
Solution:
P = gh
𝑃𝐷
S=
S=
2𝑇
1
(62.4)(550)(60) ( )
3
8
2( )
144
𝑺 = 𝟏𝟗, 𝟎𝟔𝟔. 𝟔𝟔𝟕 𝒑𝒔𝒊
55. If two objects have the same momentum, but different masses, which of these is
possible?
A. the one with less mass has more kinetic energy
B. the one with more mass requires more impulse to bring it to that momentum from
rest
C. the same work is done to each to accelerate it from rest
D. they have the same velocity
56. The present worth of an obligation of $10,000 due in 10 years if money is worth 9
percent is nearest to
A. $10,000
B. $9,000
C. $7,500
D. $4,500
Solution:
𝐹 = 10,000 (1 + 0.09)2
𝑭 = 𝟒, 𝟐𝟐𝟒. 𝟏𝟏
57. The wheel of an automobile spinning at 180 rpm begins to experience a 10 rad/s 2
angular acceleration. What is the angular velocity of the wheel after 5 seconds?
A. 230 rpm
B. 275 rpm
C. 477 rpm
D. 657 rpm
Solution:
60
𝜔 = 180 + (10) (5) ( )
2𝜋
𝝎 = 𝟔𝟓𝟕. 𝟒𝟔 𝒓𝒑𝒎
58. Which of the following is not a ductile metal?
A. Aluminum
B. Copper
C. Mild Steel
D. Lead
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59. As a person moves closer to a plane mirror, the size of the image formed by the
mirror
A. remains the same
C. gets smaller
B. gets larger
D. increases, then decreases
60. A manufacturing company buys a machine for P500,000. It estimates the machine’s
useful life is 20 years and that it can be sold for P50,000. Using straight line
depreciation, what is the annual depreciation charge?
A. P20,000
B. P22,500
C. P25,000
D. P27,500
Solution:
𝑑=
𝑑=
(𝑐𝑜𝑠𝑡 − 𝑠𝑎𝑙𝑣𝑎𝑔𝑒 𝑣𝑎𝑙𝑢𝑒)
𝑢𝑠𝑒𝑓𝑢𝑙 𝑙𝑖𝑓𝑒
(500,000−50,000)
20
∴ 𝒅 = 𝑷 𝟐𝟐, 𝟓𝟎𝟎
61. What is the new volume of 20 liters of gas at STP which experience a pressure
increase of 2 atm and temperature increase of 75 degrees?
A. 12.75 liters B. 25.5 liters
C. 17 liters
D. 8.5 liters
Solution:
𝑃1𝑉1
𝑃2𝑉2
=
𝑇2
1 (20) 3 (𝑉2)
=
348
273
𝑇1
𝑽𝟐 = 𝟖. 𝟓 𝑳
62. A piece of property is purchased for P100,000 and yields P10,000 yearly profit. If the
property is sold after five years, what is the minimum price to break-even, with
interest at 6 percent?
A. P50,000
B. P65,540
C. P77,430
D. P83,140
Solution:
𝐹1 = 100,000 (1 + 0.06)5 = 133,822.56
(1. 𝑜6)5 − 1
] = 56,370.93
𝐹2 = 10,000 [
0.06
105
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𝐹 = 𝐹1 – 𝐹2 = = 133,822.5578 − 56,370.9296
𝑭 = 𝟕𝟕, 𝟒𝟓𝟏. 𝟔𝟐𝟖𝟐
63. The executive officer of the Board of Electrical Engineering is __________.
A. PRC Commissioner
C. Civil Service Commission
B. Chairman of the Board of EE
D. IIEE President
64. The pressure head of an oil of sp. gravity 0.75, corresponding to a pressure head of
6 m of water will be
A. 9 m
B. 4.5 m
C. 8 m
D. 6 m
Solution:
𝑃𝑟𝑒𝑠𝑠𝑢𝑟𝑒 𝐻𝑒𝑎𝑑 =
6
=𝟖𝒎
0.75
65. 65. If the speed of light in a vacuum is c, then the speed of light of light in a medium
with an index of refraction of 2 will be
A. c/2
B. 2c
C. c/4
D. 4c
Solution:
𝑐
𝐼𝑛𝑑𝑒𝑥 𝑟𝑒𝑓𝑟𝑎𝑐𝑡𝑖𝑜𝑛: 𝑛 = 𝑣
2=
𝑣=
𝑐
𝑣
𝑐
2
66. The number of neutrons in an atom with an atomic number of 26 and a mass
number of 56 is
A. 26
B. 56
C. 30
D. 82
Solution:
𝑀𝑎𝑠𝑠 𝑛𝑢𝑚𝑏𝑒𝑟 – 𝐴𝑡𝑜𝑚𝑖𝑐 𝑛𝑢𝑚𝑏𝑒𝑟
56 − 26 = 𝟑𝟎
67. The radius of gyration of a circular section of diameter d is:
A. d/2
B. d/4
C. d
D. d/8
68. Water flows radially outwards from a circular shower head through the side of a
cylinder 2 mm high and 25 cm in diameter, with an average velocity of 2 m/s. What
is the flow rate?
106
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A. 3.14 liters/s
B. 3.41 liters/s
C. 0.314 liters/s
D. 1.0 liters/s
Solution:
69. The ozone layer exists primarily in what section of the atmosphere?
A. Troposphere
B. Stratosphere
C. Mesosphere
D. Ionosphere
70. The majority of the rocks in the Earth’s crust are:
A. igneous
B. metamorphic
C. sedimentary
D. basalt
71. What element is added to copper to make it extremely hard?
A. Silicon
B. Aluminum
C. Lead
D. Zinc
72. The maximum bending movement in a simple supported beam of span L and
carrying a central concentrated load “W” is
A. WL
B. WL/2
C. WL/4
D. 2WL
73. An object orbits the star in an elliptical orbit. The distance at aphelion is 2a and the
distance at perihelion is a. Determine the ratio of the object’s speed at perihelion to
that at aphelion.
C. 1
D. 4
A. 2
B. √2
Solution:
At aphelion and at perihelion, the velocity is perpendicular to the radial
line, that is, theta = 90°. Using the conservation of angular momentum that is
implied by Kepler's second Law - equal areas are swept out in equal time.
Therefore
𝐿=
1
𝑟𝑣 ∗ 𝑠𝑖𝑛𝜃
2
𝑟𝑝 ∗ 𝑣𝑝 = 𝑟𝑎 ∗ 𝑣𝑎
(2𝑎)𝑣𝑝 = (𝑎)𝑣𝑎
107
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where the subscripts p and a refer to perihelion and aphelion, respectively. The
ratio the velocity perihelion to the velocity at aphelion is
𝑣𝑝 𝑟𝑎
=
𝑣𝑎 𝑟𝑝
𝑣𝑝 2𝑎
=
=𝟐
𝑎
𝑣𝑎
74. The most abundant element in the universe is
A. He
B. C
C. H
75. It is the payment for the use of borrowed money.
A. load
B. interest
C. maturity value
D. O
D. principal
76. For an orifice, head above the orifice is 4 m, and C C = 0.6. Then the actual velocity
of flow through the orifice will be:
A. 5.32 m/s
B. 8.96 m/s
C. 12.56 m/s
D. 16.32 m/s
Solution:
𝑉 = 𝐶𝐶 √2𝑔ℎ
𝑉 = 0.6 √2 (9.81)(4)
𝑽 = 𝟓. 𝟑𝟐 𝒎/𝒔
77. The mass of air in a room 3 x 5 x 20 is known to be 350 kg. Determine the specific
weight.
A. 11.45 N/cu.m.
B. 11.54 N/cu.m.
C. 12.63 N/cu.m. D. 12.36 N/cu.m.
Solution:
P=
𝑚
𝑣
7
=
350 𝑘𝑔
300 𝑚3
p = kg/m3
6
y=
7
pg = ( ) (9.81)
6
𝒚 = 𝟏𝟏. 𝟒𝟒𝟓 𝑵/𝒎𝟑
78. An electrical engineer wishes to accumulate a total of P10,000,000 in a saving
account at the end of 10 years. If the bank pays only 4 percent compounded
quarterly, what should be the initial deposit?
A. P6.76 M
B. P6.72 M
C. P6.17 M
D. P 6.18 M
108
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Solution:
P = 10,000,000 [
(1+
0.04
)−1
4
0.04
4
]
𝑷 = 𝟔, 𝟕𝟏𝟔, 𝟓𝟑𝟏. 𝟑𝟖𝟗
79. A debt of P10,000 with 10% interest compounded semi-annually is to be amortized
by semi-annual payments over the next 5 years. The first due in 6 months.
Determine the semi-annual payment.
A. P1,295.05
B. P1,264.05
C. P1,682.80
D. P1,534.80
Solution:
A = 10,000 [
(1+
0.1 −2(5)
−1
)
2
0.1
−
2
]
𝑨 = 𝟏, 𝟐𝟗𝟓. 𝟎𝟓
80. The brass wire has a triangular cross-section, 2 mm on a side. If the yield stress for
brass is 205 MPa, determine the maximum torque to which it can be subjected so
that the wire will not yield.
A. 0.82 N-m
B. 0.082 N-m
C. 0.95 N-m
D. 0.095 N-m
Solution:
20𝑇
S max = 3
T=
𝑎
3
(205𝑥106 )(2𝑥10−6 )
20
𝑻 = 𝟎. 𝟎𝟖𝟐 𝑵 · 𝒎
81. Determine the maximum horsepower a solid steel shaft 50 mm in diameter can
transmit at 4 rev/sec if the working stress in shear is 90 MPa.
A. 35.5 kW
B. 64.6 kW
C. 55.3 kW
D. 33.5 Kw
Solution:
S=
16𝑇
𝜋 (50𝑥10−3 )3
T = 2,208.93 N·m
P=
2𝜋𝑁𝑇
60
=
2𝜋 (4𝑥60)(2,208.93)
60
𝑷 = 𝟓𝟓. 𝟓 𝑲𝑾
109
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82. A person throws a stone upward at an angle of 30degrees to the horizontal. It lands
173.2 ft. measured horizontally and 6 ft. below the person’s arm measured vertically.
Determine the time of flight.
A.1.838 s
B. 2.563 s
C. 3.642 s
D. 4.258 s
Solution:
−𝑦 = 𝑥𝑡𝑎𝑛(Ɵ) −
𝑥2𝑔
2𝑉𝑜 3 𝑐𝑜𝑠2 30
−6 = (173.2)𝑡𝑎𝑛(30) −
𝑉𝑜 = 77.94 𝑓𝑡/𝑠
Therefore:
173.2 = (77.94)𝑐𝑜𝑠(30)𝑡
(173.2)2 (32.2)
2𝑉𝑜 2 𝑐𝑜𝑠2 30
𝒕 = 𝟐. 𝟓𝟔𝟔 𝒔𝒆𝒄
83. Determine the elongation in a helical steel spring composed of 20 turns of 20 mm
diameter wire on a man radius of 80 mm when the spring is supporting a load of 2
kN. Use G = 83GPa.
A.94.8 mm
B. 98.7 mm
C. 89.6 mm
D. 86.8 mm
Solution:
Elongation =
Elongation =
64𝑃𝑅 3 𝑛
𝐺𝑑^4
64 (2𝑥103 )(80𝑥10−3 ) (20)
(83𝑥109 )(20𝑥20−3 )4
𝑬𝒍𝒐𝒏𝒈𝒂𝒕𝒊𝒐𝒏 = 𝟗𝟖. 𝟔𝟗 𝒎𝒎
84. A car travels 100 miles to city A in 2 hours, and then travels 200 miles to city B in 3
hours. What is the average speed of the car for the trip?
A. 45 mph
B. 58.3 mph
C. 60 mph
D. 66.7 mph
Solution:
Ave. speed =
100+200
2+3
𝑨𝒗𝒆. 𝒔𝒑𝒆𝒆𝒅 = 𝟔𝟎 𝒎𝒑𝒉
85. Determine the maximum deflection of a 3 cm x 24 cm rectangular aluminum beam, 5
m long, if a concentrated load of 800 N acts downward at its midpoint.
A. 0.28 m
B. 0.36 m
C. 0.18 m
D. 0.10 m
110
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Solution:
Vave =
𝑆1+𝑆2
𝑇1+𝑇2
Vave =
100+200
2+3
𝑽𝒂𝒗𝒆 = 𝟔𝟎 𝒎𝒊𝒍𝒆𝒔/𝒉𝒓
86. The Hooke’s law holds good within
A. yield point
B. elastic limit
C. plastic limit
D. Euler’s limit
87. A force of 40 N is needed to set a 10-kg steel box moving across a wooden floor.
The coefficient of static friction is
A. 0.08
B. 0.25
C. 0.4
D. 2.5
Solution:
F = µN
F = µmg
𝐹
=
µ=
𝑚𝑔
40
10 (9.81)
µ = 𝟎. 𝟒
88. The Pauli Exclusion Principle states that
A. any atoms with a free s orbital can form bonds
B. no two atoms can occupy the same orbital unless their spins are different
C. two atoms can occupy the same orbital unless their spins are different
D. atoms of the same configuration do not change
89. What mass in grams of solute is needed to prepare 3.50 L of 0.400 M NaOH?
A. 54
B. 56
C. 52
D. 58
Solution:
NaOH
1x1 =1
1 x 16 = 16
1 x 23 = 23
40g/mole
0.400 = m/40
3.5
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𝒎 = 𝟓𝟔 𝒈𝒓𝒂𝒎𝒔
90. The speed with which a liquid escapes from a vessel through an orifice is given by
A. Archimedes’ Principle
C. Bernoulli’s Theorem
B. Torricelli’s Theorem
D. Flow equation
91. A refrigerator gives off 3 J heat for every joule of mechanical energy input. Its
coefficient of performance is
A. 1
B. 2
C. 3
D. 4
Solution:
W = QH - QL
QL = Q H – W
QL = 3J – 1J
QL = 2J
𝐶. 𝑂. 𝑃. =
𝑄𝐿 2𝐽
=
= 𝟐
𝑊 1𝐽
92. What is Article II of Code of Ethics for Electrical Engineers?
A. Relations with Client and Employer
C. Professional Life
B. Relations with Fellow Engineers
D. Penal Provisions
93. The minimum diameter of a longitudinal bar in a column is
A. 6 mm
B. 8 mm
C. 12 mm
D. 16 mm
94. RA 7920, Rule 2(o) defining?
A. IIEE
B. DECS
C. CHED
D. TESDA
95. Which of the following is the poorest conductor of electricity?
A. Carbon
B. Silver
C. Steel
D. Aluminum
96. Who invented the barometer?
A. Torricelli
B. Avogadro
D. Becquerel
C. Rutherford
97. 97. Calculate the nitrogen pressure in a mixture of 0.500 mol of oxygen and 0.750
mol of nitrogen with a total pressure of 40.0 kPa.
A.8 kPa
B. 16 kPa
C. 24 kPa
D. 40 kPa
112
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Solution:
PN2 =
PN2 =
𝜂𝑁2
𝜂𝑁2+ 𝜂𝑜2
0.750
x P total
0.750+0.50
x 40 kPa
𝑷𝑵𝟐 = 𝟐𝟒 𝒌𝑷𝒂
98. During polytropic process 10 lb of an ideal gas, whose R = 40 ft-lbf / lbm-deg R and
Cp = 0.25 BTU / lb-deg R changes state from 20 psia and 40 deg F to 120 psia and
340 deg F. Determine ∆U.
A. 585.6 BTU B. 595.5 BTU
C. 750.6 BTU
D. 780.5 BTU
Solution:
Cp = Cv + R
Cv = Cp – R
Cv = 0.25 – (−40
1 𝐵𝑇𝑈
778 𝑓𝑡.𝑙𝑏𝑓
)
Cv = 0.1986
∆U = mCv∆T
∆U = 10 (0.1986) (340-40)
∆𝑼 = 𝟓𝟗𝟓. 𝟖 𝑩𝑻𝑼
99. What is the pH of a 0.014 M Ca(OH)2 solution?
A. 1.55
B. 1.85
C. 12.15
D. 12.45
Solution:
2 (0.014) = 0.028
-Log (0.028) = 1.55
PN = 14 – 1.55
𝑷𝑵 = 𝟏𝟐. 𝟒𝟓
100. A metal plate 4.00 mm thick has a temperature difference of 32.0 deg C between
its faces. It transmits 200 kcal/h through an area of 5.00 sq. cm. Calculate the
thermal conductivity of this metal in W/m-K.
A. 85.5
B. 58.5
C. 68.5
D.86.5
Solution:
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Q=
𝑘𝐴𝑡∆𝑇
𝑑
𝑄
𝑡
=
𝑘𝐴∆𝑇
𝑑
(200 Kcal/hrs) (4186 J / Kcal) (1hr/3600s) =
𝐽
232. 56 =
𝑆
𝑘(5 𝑥 10−4 )(32)
(4 𝑥 10−3 )
𝑘[5 𝑥 (
1 2
) ](32 𝐶
100
4 𝑥 10 ̄³
𝑥
1𝐾
1𝑐
𝒌 = 𝟓𝟖. 𝟏𝟒 𝑾/𝒎 – 𝑲
114
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
ESAS PRE-BOARD EXAM MARCH 2015
1. Partially protected locations under canopies, marquees, roofed open porches, and
like locations, and in locations subject to moderate degrees of moisture, such as
some basements, some barns, and some cold storage warehouses.
A. Dry
B. Damp
C. Moist
D. Wet
2. A location not normally subjects to dampness or wetness. A location classifies as
_______ may be temporary subject to dampness or wetness, as in the case of a
building under construction.
A. Dry
B. Damp
C. Moist
D. Wet
3. Combination of laminar and turbulent flow
A. Critical
B. Continuous
C. Laminar
D. Turbulent
4. A system or circuit conductor that is intentionally grounded,
A. Grounding conductor
C. Grounding electrode conductor
B. Grounded conductor
D. Grounding equipment
5. Most common pressure measuring device use today
A. Bourdon tube gauge
C. Kelvin gauge
B. Manometer
D. Barometer
6. Poisson’s Ratio is the ratio of the
A. Unit lateral deformation to the unit longitudinal deformation
B. Unit stress to unit strain
C. Elastic limit to proportional limit
D. Shear strain to compressive strain
7. Which is not covered by thermodynamics?
A. Utilization of energy
C. Transfer of energy
B. Transformation of energy D. Storage of energy
8. What is the SI unit of mass?
A. Newton
B. Kilogram
9. What is the SI unit of length?
A. Meter
B. Centimeter
C. Slug
C. Feet
D. Pound
D. Inches
10. The differential of the shear equation is which one of the following?
A. Load on the beam
C. Bending moment of the beam
B. Tensile strength of the beam
D. Slope of the elastic curve
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11. Under very slow deformation and high temperature, if it is possible to have some
plastic flow in crystal at a shear stress lower than the critical shear stress. What is
this phenomenon called?
A. Slip
B. Twinning
C. Creep
D. Bending
12. Which of the following elements and compounds is unstable and its pure form?
A. Sodium (Na)
C. Carbon Dioxide (CO2)
B. Helium (He)
D. Neon (Ne)
13. BIOS stands for
A. Basic Input Output Society
C. Base Input Output Society
B. Basic Input Output System
D. Base Input Output System
14. 14. Mandarin Bank advertise 9.5% account that yields 9.84% Annually. Find how
often interest is compounded
A. Monthly
B. Bimonthly
C. Quarterly
D. Annually
Solution:
0.095 𝟒
(1+
) – 1 = 9.84 %
𝟒
Therefore, it is quarterly.
15. The minimum diameter of a steel ground electrode is
A. 10 mm
B. 12 mm
C. 14 mm
D. 16 mm
16. The branch of mechanics that deals with bodies in motion is known as __________.
A. Statics
B. Dynamics
C. Kinetics
D. Annually
17. Bernoulli’s equation is based on
A. The second law of motion C. The conservation of momentum
B. The third law of motion
D. The conservation of energy
18. Pluto travels from perihelion to aphelion. What is the work done by gravity in Pluto?
A. Zero
C. Positive
B. Negative
D. Undetermined
19. Carnot cycle is maximum efficiency in __________ engine.
A. Steam
B. Gas
C. Reversible
D. Well lubricated
20. It is the interest earned by the principal which is added to the principal will also earn
an interest for the succeeding periods.
A. Compound interest
C. Discount
B. Simple interest
D. Interest rate
21. An ice with mass of 0.9 kg ids freely floating in water. Find the buoyant force
experienced by the ice.
A. 7.8 N
B. 8.82 N
C. 10.2 N
D. 9.64 N
Solution:
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m
) = 𝟖. 𝟖𝟐𝟗𝐍
s2
22. What refers to the case hardening process by which the carbon content of the steel
near the surface of the part is increased?
A. Carburizing
C. Normalizing
B. Annealing
D. Mar tempering
BF = mg = (0.9kg) (9.81
23. If two balls are thrown with the same initial velocity, with one ball is thrown 20
degrees above horizontal and the other is thrown horizontally. Neglecting air
resistance, which ball will hit the ground with the greatest speed?
A. The ones thrown horizontally
B. The ones thrown 20 degrees’ angle
C. Both balls will land in the same velocity
D. Lack of data
24. If an automobile wheel 32 in diameter rotates at 800 r/min, what is the speed of the
car in mph?
A. 12.1
B. 24.2
C. 76.2
D. 152. 4
Solution:
d = 32”
w = 800 rev/min
v =?
v = rw
v
w=
r
𝑟𝑒𝑣 2𝜋 𝑟𝑎𝑑 1𝑚𝑖𝑛
𝑤 = (800
)(
)(
) = 83.78𝑟𝑎𝑑/𝑠𝑒𝑐
𝑚𝑖𝑛
1𝑟𝑒𝑣
60𝑠𝑒𝑐
1ft
) = 2.67ft
d = 32in (
12in
2.67
d
) (83.78)
v = rw = ( ) w = (
2
z
ft
1mi
3600s
v = (111.71 ) (
)) (
) = 𝟕𝟔. 𝟐 𝐦𝐢/𝐡𝐫
s 5280ft
1hr
25. MS-DOS is a type of?
A. System software
B. Operating system
C. Application software
D. System architecture
26. MS-WORD is a type of
A. System software
B. Operating system
C. Application software
D. System architecture
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27. What is CD-ROM?
A. Compact Disk Read Only Memory
B. Compatible Disk Read Only Memory
C. Compact Data Read Only Memory
D. Compatible Data Read Only Memory
28. What is the octal equivalent of the hexadecimal number EE?
A. 356
B. 365
C. 653
D. 635
Solution:
EE16 = 111011102
11|101|110 = 3568
29. (III) base 2 + (III) base 2 = (_____) base 2.
A. 11011
B. 11101
C. 1110
D. 11100
Solution:
111
+111
11102
30. The second law of thermodynamics can be stated as:
I-Heat flows spontaneously from a hot object to a cold one, but not the reverse;
II-Natural processes tend to move toward a state of greater disorder or greater
entropy.
A. I only
B. II only
C. I and II
D. Neither I/II
31. Who is not a member of the board EE
A. Francis V. Mapile
C. Gregorio T. Cayetano
B. Fortunato C. Leynes
D. Jaime V. Mendoza
32. For REE board examination, the passing general average is 70% provided there is
no grade below ____ in any of the 3 subjects.
A. 50 %
B. 60%
C. 65%
D. 40%
33. What is the weight percentage of electrical engineering professional subjects?
A. 40
B. 35
C. 45
D. 25
34. In an ideal gas, both pressure and temperature increases to twice the original
pressure and temperature respectively. If the original volume is Vo, then the new
volume is
A. 2Vo
B. Vo
C. Vo/2
D. 4Vo
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35. What is the interest of P 8,600 after 4 years at 12% simple interest rate?
A. P 4,161
B. P 4,116
C. P 4,218
D. P 4, 128
Solution:
I = P(i x n)
I = 8,600 (0.12 x 4)
I = 4,128
36. The ampacity of the fuse should be 125% of the continues load current is covered by
A. Installation design
C. Manufacturing design
B. Wiring design
D. Construction design
37. Generators and motors should be dust proof is covered by class III,
A. Installation design
C. Wiring design
B. Manufacturing design
D. Constructional design
38. In thermodynamics we focus our attention on which form of energy?
A. Kinetic
B. Potential
C. Internal
D. Total
39. A beam with rectangular cross-section with breadth of20cm. Determine the depth of
the beam if the maximum shearing stress in beam is 30kg/cm^2 and Vmax = 10,000
kg.
A. 25 cm
B. 23 cm
C. 20 cm
D. 30 cm
Solution:
𝜏=
3𝑉
2𝐴
30 =
3(10,000)
2(20(𝐷))
𝑫 = 𝟐𝟓 𝒄𝒎
40. What is the coal that has been previously burned in an oxygen-poor environment?
A. Tuyere
B. Coke
C. Diamond
D. Hematite
41. What is the most common reinforcement for polymer composites?
A. Boron
B. Ceramic
C. Graphite
D. Grass fiber
42. What is the principle behind fiber optics?
A. Reflection B. Refraction
C. Diffraction
D. Dispersion
43. A conductor used to connect equipment or the grounded circuit of a wiring system to
a grounding electrodes.
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A. Grounding Conductor
B. Grounded Conductor
C. Grounding Electrode Conductor
D. Grounding Equipment
44. A loan of P 4,000 is made for a period of 16 months at a simple discount rate of 7%,
what future amount is due at the end of the loan period?
A. P 4,373.33 B. P 4,301.08
C. P 4,401.43
D. P 4,411.76
Solution:
𝐷𝑖𝑠𝑐𝑜𝑢𝑛𝑡 𝐷
=
𝑃𝑟𝑖𝑛𝑐𝑖𝑝𝑎𝑙 𝑃
𝐷 = 𝑃𝑑
𝐷 = 4000(0.0933)
𝐷 = 373.33
𝑑=
𝑑 = 𝑑𝑛
16
𝑑 = (0.07) ( )
12
𝑑 = 0.0933
𝐹 =𝐷+𝑃
𝐹 = 373.33 + 4000
𝑭 = 𝟒𝟑𝟕𝟑. 𝟑𝟑
45. When magma rocks cool, these rocks are called
A. Granite
B. Sedimentary rocks
C. Igneous rocks
D. Metamorphic rockS
46. The conductor used to connect the grounding electrode to the equipment grounding
conductor to the grounded conductor, or to both, of the circuit at the service
equipment or at the source of a separately derived system.
A. Grounding Conductor
B. Grounded Conductor
C. Grounding Electrode Conductor
D. Grounding Equipment
47. A device intended for the protection of the personnel that functions to de-energize a
circuit or portion thereof within an established period of time when a current to
ground exceeds some predetermined value that is less than that required to operate
the overcurrent protective device of the supply circuit.
A. Grounding Conductor
B. Grounding-Fault Circuit Interrupter
C. Grounding Conductor Equipment
D. Ground-Fault Protection of Equipment
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48. A 40-kg boy walks on a 60-kg log with the speed of 1.5 m/s. What is the speed of the
log with respect to the shore?
A. 1 m/s
B. 0.36 m/s
C. 0.4 m/s
D. 0.8 m/s
49. The maximum bending moment of a beam simply supported at both end and subject
to a total load W uniformly distributed over its length L is expressed by the formula.
A. WL/8
B. WL2/8
C. WL/2
D. WL/4
50. What is the form of the moment diagram of a beam supported at both ends and
carrying a uniformly distributed load?
A. Triangle
B. Hyperbola
C. Parabola
D. Rectangle
51. A byte is composed of how many bits?
A. 2
B. 4
C. 6
D. 8
52. What percentage of the human body will float in fresh water? Average density of
human body is 980 kg/ cu. M
A. 98
B. 2
C. 96
D. 4
53. A gas in the atmosphere that traps sun’s UV rays.
A. Oxygen
B. Helium
C. Ozone
54. Adiabatic process is?
A. No heat transfer
B. Reversible
D. Water vapor
C. Irreversible
D. Constant pressure
55. P 5,000 will become how much after one year at a simple interest rate of 15%?
A. P 5,850.00 B. P 5,750.00
C P 5,980.00 `
D. P 5,680.00
Solution:
F = P(1 + i) = 5000(1 + 0.15) = 5750
56. The equipment grounding conductor of a branch circuit shall be identified by what
color?
A. Green
B. Black
C. White
D. Gray
57. In bathtub and shower areas no part of cord-connected fixtures, lighting track,
pendants or ceiling suspended (paddle) fans shall be located within a zone
measured _______ horizontally and ________ vertically from the top of the bathtub
rim or shower stall threshold.
A.1000mm, 3000mm
B. 600mm, 3000mm
C. 900mm, 2400mm
D. 800mm, 2500mm
121
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
58. What is the maximum operating temperature of type UF conductor?
A. 75 deg C
B. 90 deg C
C. 60 deg C
D. 110 deg
59. Find the present worth with a total interest of P 5000 after two years at simple
interest rate of 6.25%.
A. P 35,000
B. P 25,000
C P 50,000
D. P 40,000
Solution:
I = Pin; P =
𝐼
𝑖𝑛
=
5000
(0.0625)(2)
= 40,000
60. Find the future amount of P 12,000 after 12 years with an interest rate of 9%
compounded annually.
A. P 33,752
B. P 34,896
C. P 32,649
D. P 31,625
Solution:
F = P (1 + i) 𝑛 = 12000(1 + 0.09)12 = 33752
61. Find the future amount of P 12,000 after 12 years with an interest rate of 9%
compounded semi-annually.
A. P 33,272
B. P 34,426
C. 34,512
D. 36,186
Solution:
P = ₱ 12,000
n =12 years m = 2 i = 9%
r 9
  4.5%
m 2
n*m
F  P1  i 
i
F  12,0001  0.045
2*12
₱ 34,512
62. What is the temperature in deg C of 2 liters of water at 30 deg C after 500 calories of
heat have been added?
A. 35.70
B. 38
C. 30.25
D. 39.75
Solution:
m = 2L
T = 30oC
Q = 500cal
Q = mC∆t ; 500
2000*(TH – 30oC) = 30.25oC
122
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
63. A light pass from glass to water. If the index of refraction for glass is 1.54 and for
water is 1.33, compute the critical angle for this light to pass to glass.
A. 59.7 deg
B. 45. 8 deg
C. 67.4 deg
D. 50.9 deg
Solution:
IRC =1.54
IRW = 1.33
IRw
IRc
 IRw 
  sin 1 

 IRc 
sin  
 1.33 

 1.54 
  sin 1 
𝜭 = 𝟓𝟗. 𝟕𝟑°
64. What is the corresponding rate of interest for 18% simple discount rate?
A. 20.85%
B. 23.72%
C. 22.64%
D. 21.95%
Solution:
d = 18%
d
1 d
18%
i
1  18%
i
𝒊 = 𝟐𝟏. 𝟗𝟓%
65. Structural steel elements subjected to torsion develop
A. Tensile stress
C. Shearing stress
B. Compressive stress
D. Bending stress
66. A 300-g object slides 80cm along a horizontal tabletop. How much work is done in
overcoming friction between the object and the table if the coefficient of kinetic
friction is 0.20?
A. +0.74 J
B. -0.74 J
C. +0.47 J
D. -0.47 J
Solution:
m = 300g = 0.3 kg
kf = 0.2
L= 80 cm = 0.8m
𝑊 = 0.3 ∗ 9.81 = 2.943𝑁
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𝑊 = 2.943 ∗ 0.8 ∗ 0.2𝑐𝑜𝑠(180𝑜)
𝑾 = −𝟎. 𝟒𝟕 𝑱
67. Compute the rational KE of a 25-kg wheel rotating at 6.0 rev/s if the radius of
gyration og the wheel is 22 cm.
A. 0.68 k J
B. 0.86 k J
C. 0.93 k J
D. 0.39 k J
Solution:
m = 25 kg
Ø = 6rev/sec
r = 22 cm
1
2rad 
2  6rev
*
KE  25* 0.22  

2
1rev 
 sec
𝑲𝑬 = 𝟎. 𝟖𝟔 𝒌𝑱
68. The chief source of energy in the world today is
A. Coal
B. Oil
C. Natural gas
D. Uranium
69. Which element is present in all organic compounds?
A. Oxygen
B. Carbon
C. Nitrogen
D. Phosphorus
70. A substance that, when added to a solution, makes changing the pH of the solution
more difficult.
A. Catalyst
B. Solute
C. Solvent
D. Butter
71. An object that has momentum must also have
A. Acceleration
C. Kinetic Energy
B. Impulse
D. Potential Energy
72. At the highest or lowest point of the moment diagram
A. Maximum shear occur
C. Maximum moment is twice the shear
B. Shear is zero
D. Shear is negative
73. An asset is purchased for 120000 pesos. It is estimated life is 10 years, after which it
will be sold for 12000. Find the depreciation for the second year using the sum-ofthe-years-digit method.
A. P18,400
B. P18,200
C. P17,673
D. P17,763
Solution:
Sum of years = 10
(10+1)
2
= 55
𝐷2 = (120000 − 12000)(
9
) = 𝟏𝟕𝟔𝟕𝟑
55
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74. The chemical shorthand name for molybdenum is
A. Mo
B. Mb
C. Md
D. Mn
75. Formula for magnesium nitrite
A. Mg2(NO2)2
B. Mg(NO2)
D. Mg2 (NO2)3
C. Mg(NO2)2
76. A force causing a rise of liquid in tubes of small diameter
A. Cohesion
B. Surface tension C. Capillarity
D. Adhesion
77. In RA 9136, what is SGC stands for
A. Successor Generating Company
B. Successor Generation Company
C. Special Generating Company
D. Special Generation Company
78. In RA 9236, what is CREM stands for
A. Competitive Retail Electricity Market
B. Competitor Retail Electricity Market
C. Competitive Retail Energy Market
D. Competitor Retail Energy Market
79. During the takeoff roll, a Boeing 747 jumbo jet is accelerating at 4 m/sec^2. If it
requires 40 secs to reach takeoff speed, determine the takeoff speed.
A. 110 m/sec
B. 120 m/sec
C. 140 m/sec
D. 160m/sec
Solution:
𝑉𝑡 = 𝑉𝑜 + 𝑎 ∗ 𝑡
𝑉𝑡 = 0 + (4) ∗ (40) = 𝟏𝟔𝟎𝒎/𝒔𝟐
80. If $ 10,000 is borrowed now at 6% interest, how much will remain to be paid after a $
3,000 payments is made four years from now?
A. $ 9,625
B. $ 9,725
C. $ 9,400
D. $ 9,835
Solution:
𝐹 = 𝑃(1 + 𝑖)𝑛 = 10,000(1 + 0.06)4 – 3,000 = $ 𝟗, 𝟔𝟐𝟒. 𝟕𝟕
81. A Carnot engine operates between reservoirs at 20 deg C and 200 deg C. If 10Kw of
power is produced, the rejected heat rate is nearest:
A. 26.3 k J/s
B. 20.2 k J/s
C. 16.3 k J/s
D. 12 k J/s
Solution:
𝑄
=
𝑇𝐿
𝑃 𝑇𝐻−𝑇𝐶
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Q/(10*103)
20+273
=(200+273)−(20+273)
Q = 16.3 kJ
82. Calculate the molarity of a solution of a 0.0150 mol of NaCl in 50.0 g of water if the
solution has a density of 1.02 g/Ml.
A. 0.306 M
B. 0.301 M
C. 0.603 M
D. 0.103 M
Solution:
=
0.015
0.015 × 48
⟧
⟦50 +
1000 × 1.02
=0.301M
83. Article II of Code of Ethics for Electrical Engineers contains
A. SEC. 1 to 8 B. SEC. 1 to 7
C. SEC. 1 to 6
D. SEC. 1 to 9
84. Article IV, Rule ___. Requirements for examination as a REE
A. 14
B. 15
C. 16
D. 17
85. A man paid a 10% down payment of P 2,000,000 for a house and lot and agreed to
pay the balance on monthly installments for 5 years at an interest rate of 15%
compound monthly. What is the monthly installment in pesos?
A. 44,528.34
B. 42,821.87
C. 43,625.92
D. 45,825.65
Solution:
n = 5 years
r = 15%
m = 12
PTOT = 2,000,000
i=
0.15
12
= 1.25%
PDOWN = 2,000,000×0.1 = 200,000
P = 2,000,000 – 200,000 = 1,800,000
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A=⌊
(1.25%)(1+0.0125)12(5)
(1+0.0125)12(5) −1
= ₱ 42,821.87
⌋
86. An automobile travelling at a speed of 30mph accelerates uniformly to a speed of
6omph in 10 sec. How far does the automobile travel during the time of
acceleration?
A. 880 ft.
B. 660 ft.
C. 770 ft.
D. 990 ft.
Solution:
Vo = 30mph
Vf = 60mph
t = 60sec
𝑉𝑜 = ( 30𝑚𝑖𝑙𝑒𝑠/ℎ𝑟)(
5280𝑓𝑡
1ℎ𝑟
)(
) = 44𝑓𝑡/𝑠
1𝑚𝑖𝑙𝑒 3600sec
𝑉𝑓 = ( 60𝑚𝑖𝑙𝑒𝑠/ℎ𝑟 )(
𝑆 = ⌊
1ℎ𝑟
5280𝑓𝑡
)(
) = 88𝑓𝑡/𝑠
𝑚𝑖𝑙𝑒 3600sec
88 + 44
⌋ × 10
2
∴ 𝑺 = 𝟔𝟔𝟎
87. During an isentropic expansion of air, the volume triples. If the initial temperature is
200 deg C, find T2 in deg C.
A. 32
B. 28
C. 16
D. 8
Solution:
(200 + 273) (
=304.8- 273
11.4−1
3
)= 304.8K
=32
88. If the pressure in a tank of oil (sp gr. = 0.80) is 400kPa, what is the equivalent head
in meters of water?
A. 50.97
B. 40.77
C. 59.70
D. 47.70
Solution:
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𝐻𝑤 =
400
= 𝟒𝟎. 𝟕𝟕
9.81
89. How many grams are these in 0.01 mole of Na2SO4?
A. 7.1 g
B. 14.2 g
C. 9.6 g
D.1.42g
Solution:
0.01 mole
Na2SO4
Na = 23
S=32
O = 16
= [(23 ∗ 2) + 32 + (16 ∗ 4)] ∗ 0.01
∴ 𝟏. 𝟒𝟐𝒈
90. What rules are included in Article V of RA 7920?
A. RULE 1 to 10n
B. RULE 11 to 20 C. RULE 21 to 27 D. RULE 28 to 34
91. What is the static head corresponding to a flow velocity of 10 ft/sec?
A. 1.55 ft
B. 1.75 ft
C. 2.05 ft
D. 2.25 ft
Solution:
𝑉=
10𝑓𝑡
𝑠𝑒𝑐
(10)2
= 𝟏. 𝟓𝟓𝒇𝒕
𝑉ℎ =
2(32.2)
92. Water flows through a long 0.5 in inside dimeter hose at 3gpm. Water velocity in fps
is nearest to:
A. 1
B. 5
C. 10
D. 20
Solution:
𝐷 = 0.5 𝑖𝑛, 𝑄 = 3 𝑔𝑝𝑚, 𝑟 = 0.0208𝑓𝑡
3.6𝑔𝑎𝑙 1𝑚𝑖𝑛 0.05𝑔𝑎𝑙 1𝑓𝑡 3
0.00668𝑓𝑡 3
𝑄=
∗
=
∗
=
𝑚𝑖𝑛 60𝑠𝑒𝑐
7.480
𝑠
𝑠𝑒𝑐
𝐴 = 𝜋(0.0208)2 = 1.3635 ∗ 10−3 𝑓𝑡 2
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𝑣=
0.00668
= 𝟒. 𝟗𝟎𝟐 𝒇𝒑𝒔
1.3635 ∗ 10−3
93. A high velocity flow of gas at 800 ft/sec possesses kinetic energy nearest to which of
the following?
A. 1.03 BTU/lb B. 4.10 BTU/lb
C. 9.95 BTU/lb
D.12.8BTU/lb
Solution:
𝑣=
800𝑓𝑡
𝑠𝑒𝑐
𝐾𝐸 =
1 8002
𝐽
1
∗ 𝑚 ∗ 𝑣2 = ∗
= 9937.9
2 32.2
𝑙𝑏
2
9937.9
𝐽 1𝐵𝑇𝑈 𝐾𝐸
𝑩𝑻𝑼
∗
;
= 𝟏𝟐. 𝟕𝟕
𝑙𝑏 778𝐽 𝑊
𝒍𝒃
94. How many months at an interest of 1 percent per month does money have to be
invested before it will double in value?
A. 59
B. 62
C. 70
D. 76\
Solution:
2 = 1(1+0.01)n ; n = 69.67 months
95. The phenomenon of melting under pressure and freezing again when the pressure is
reduced is known as
A. Sublimation B. Condensation
C. Deposition
D. Regelation
96. A single rivet is used to join two plates. If the diameter of the rivet is 20mm and the
load P is 30 k N, what is the average shearing stress developed in the rivet?
A. 61.95 MPa B. 165.2 MPa
C. 41.3 MPa
D. 82.6 MPa
Solution:
𝐷𝑟 = 21.5 𝑚𝑚; 𝑃 = 30,000 𝑁
𝑟 = 10.75 𝑚𝑚 = 0.01075 𝑚
𝐴 = 𝜋 ∗ (0.01075)2 = 3.63 ∗ 10−4 𝑚2
30 ∗ 1003
= 𝟖𝟐. 𝟔 𝑴𝑷𝒂
𝑆=
3.63 ∗ 10−4
97. If a solid circular shaft of 1.25 in diameter is subject to a torque of 2500 lb-in causing
an angle of twist of 3.12 degrees in a 5 ft. length, determine the shear modulus of a
material.
129
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A. 10.6x10^6 psi B. 12.8x10^6 psi
C. 11.5x10^6 psi
D.9.3x10^6psi
Solution:
𝜃 = 3.12° ∗
𝜃=
180°
= 0.0544 𝑟𝑎𝑑
𝜋𝑟𝑎𝑑
(2500) ∗ (5𝑓𝑡 ∗ 12)
= 𝟏𝟏. 𝟓 ∗ 𝟏𝟎𝟔 𝒑𝒔𝒊
(0.0544 ∗ 0.2397)
98. Which of the following cycle is used in vapor cycle power plant?
A. Brayton cycle B. Rankine Cycle C. Diesel cycle
D. Ericson cycle
99. A simply supported beam of length 10 ft and rectangular cross section 1 in x 3 in
carries a uniform load of 200lb/ft. The beam is titanium, type Ti-5Al-2.55n, having a
yield strength of 115,000 psi and E = 16x10^6 psi.
A. 1.25 in
B. 2.85 IN
C. 1.00 in
D. 2.05 in
Solution:
𝐿 = 10𝑓𝑡 ; 𝐴 = 1 𝑖𝑛 ∗ 3 𝑖𝑛; 𝑁 =
=
5 ∗ (200) ∗ (10 ∗ 12)4
384 ∗ (16 ∗
106 )
3 2
∗ (12)
200𝑙𝑏
; 𝑌𝑠 = 115,000 𝑝𝑠𝑖; 𝐸 = 16 ∗ 106 𝑝𝑠𝑖
𝑓𝑡
= 𝟏. 𝟐𝟓 𝒊𝒏
100. What is the centripetal force required to cause a 3200-pound car to go around a
curve of 880-ft radius at a speed of 60mph?
A. 990 lb
B. 880 lb
C. 770 lb
D.1100lb
Solution:
𝑊=
3200
32.2
𝑚 = 3200 𝑙𝑏; 𝑟 = 880 𝑓𝑡;
= 99.38
𝐹𝑐𝑝 =
𝑣 = 60 𝑚𝑝ℎ
(3200) ∗ (88)2
= 𝟖𝟕𝟒. 𝟓𝟑𝟏 𝒍𝒃
(32.2) ∗ (880)
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
ESAS PRE-BOARD EXAM AUGUST 2014
1. Determine the force necessary to accelerate a mass of 20 lbm. at a rate of 60
ft/sec^2 vertically upward.
A. 37.3 lbf
B. 57.3 lbf
C. 73.3 lbf
D. 75.3 lbf
Solution:
𝐚
𝟔𝟎
𝐅 = 𝐦 (𝟏 + ) = 𝟐𝟎 (𝟏 +
) = 𝟓𝟕. 𝟐𝟔𝟕 𝐥𝐛𝐟
𝐠
𝟑𝟐. 𝟐
2. Momentum is closely related to
A. kinetic energy B. potential energy C. impulse
D. power
3. In thermodynamics we focus our attention in which form of energy?
A. kinetic
B. potential
C. internal
D. total
4. A machine an initial cost of P 50,000.00 and a salvage value of P 10,000.00 after 10
years. What is the book value after 5 years using straight line depreciation?
A. P 35,000.00
B. P 25,000.00
C. P 15,000.00
D.P 30,000.00
Solution:
𝟓(𝟓𝟎, 𝟎𝟎𝟎 − 𝟏𝟎, 𝟎𝟎𝟎)
= 𝐏𝟐𝟎, 𝟎𝟎𝟎
𝟏𝟎
𝐂𝐧 = 𝟓𝟎, 𝟎𝟎𝟎 − 𝟐𝟎, 𝟎𝟎𝟎 = 𝐏𝟑𝟎, 𝟎𝟎𝟎𝟎
𝐃𝐧 =
5. An iceberg has a density of 917 kg/m^3. If float in fresh water, what percent of
iceberg’s volume will be viible?
A. 91.7%
B. 8.3%
C. 93.1%
D. 6.9%
Solution:
𝟗𝟏𝟕
𝐕
= 𝟎. 𝟗𝟏𝟕 𝐕𝐢𝐜𝐞𝐛𝐞𝐫𝐠
𝟏𝟎𝟎𝟎 𝐢𝐜𝐞𝐛𝐞𝐫𝐠
= (𝟏 − 𝟎. 𝟗𝟏𝟕)𝐕𝐢𝐜𝐞𝐛𝐞𝐫𝐠 = 𝟎. 𝟎𝟖𝟑 = 𝟖. 𝟑%
𝐕𝐝𝐢𝐬𝐩𝐥𝐚𝐜𝐞𝐝 =
𝐕𝐞𝐱𝐩𝐨𝐬𝐞𝐝
6. The element that is practically insoluble in solid copper is known as
A. Lead
B. Brass
C. Boron
D. Neon
𝒌𝒈
7. The standard pressure in meters of ammonia (𝝆 = 𝟔𝟎𝟎 𝟑 ) is:
𝒎
A. 17
B. 19
C. 23
D. 31
8. A law which states that in a present fluid, the pressure exerted on it anywhere gets
transmitted in all directions.
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A. Archimedes’ Law
B. Stoke’s Law
C. Darcy’s
D. Pascal’s Law
9. Steels that are used for axles, gears and similar parts requiring medium to high
hardness and high strength are known as
A. Low-carbon steels
C. High-carbon steels
B. Medium-carbon steels
D. Very high-carbon steels
10. The maximum moment induced in a simply supported beam of 20 foot span, by a
2,000 pound load at midspan is
A. 1,500 ft-lbs
B. 15,000 ft-lbs
C. 30,000 ft-lbs
D. 10,000 ft-lbs
Solution:
𝐌𝐦𝐚𝐱 =
𝐏𝐋
𝟒
=
(𝟐𝟎)(𝟐,𝟎𝟎𝟎)
𝟒
= 𝟏𝟎, 𝟎𝟎𝟎 𝐟𝐭 − 𝐥𝐛𝐬
11. A boy throws a ball with negligible air resistance. What happen to its acceleration?
A. Remains constant
B. Decelerate when the ball is going up and accelerated when going down
C. Increases
D. Decreases
12. Which is not a programming language?
A. FORTRAN B. LOTUS
C. PASCAL
D. COBOL
13. The units of joules can be converted to which of the following?
A. Pa-m^2
B. N-kg
C. Pa/m^2
D. Pa-m^3
Solution:
(𝐏𝐚 =
𝐍
𝐦𝟐
) 𝐦𝟑 ;
𝐏𝐚(𝐦𝟑 ) =
𝐍
𝐦
;
𝐉=
𝐍
𝐦
= 𝐏𝐚 − 𝐦𝟑
14. When two bodies isolated from other environment, are in thermal equilibrium with a
third body, the two are in thermal equilibrium with each other. What do you call does
statement?
A. Zeroth Law of Thermodynamics
B. First Law of Thermodynamics
C. Second Law of Thermodynamics
D. Third Law of Thermodynamics
15. It is a mixture of two or more non-volatile liquids in which separation takes place very
slowly.
A. suspension B. solution
C. colloids
D. emulsion
16. The purpose of copper in steel alloying is to increase
A. Atmospheric corrosion resistance
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B. Hardness and strength
C. Corrosion resistance
D. Deoxidation
17. The unit lighting for a dwelling unit expressed in watts per square meter shall be
A. 8 watts
B. 16 watts
C. 24 watts
D. 40 watts
18. A certain dam with height h and width w. Find force.
A. F=0.5 pgh
B. F=pgh
C. F=pgw^2h
D. F=pgwh^2
19. The study of mechanics of fluids which deals with velocities and streamlines without
considering forces or energy
A. kinematics B. hydrostatics
C. hydrodynamics D. hydrology
20. A carnot refrigerator requires 10 kW to remove 20 kJ/s from a 20 deg C reservoir.
What is 𝑻𝑯 ?
A. 440 K
B. 400 K
C. 360 K
D. 340 K
21. A beam with a rectangular cross-seciton with breath of 20 cm. Determine the depth
of the beam if the maximum shearing stress is 30 kg/cm^2 and Vmax = 10,000 kg.
A. 25 cm
B. 23 cm
D. 20 cm
D. 30 cm
Solution:
22. (14) base 10 = ( ) base 2
A. 1100
B. 1011
𝐡=
𝟐𝟎 𝟏𝟎, 𝟎𝟎𝟎
(
) = 𝟎. 𝟐𝟓 𝐜𝐦
𝟑𝟎 𝟐𝟔, 𝟔𝟔𝟔. 𝟔𝟕
C. 1110
D. 1001
Solution:
2 14 0
2 7 1
2 3 1
1
23. BIOS stands for
A. Basic Input Output Society
B. Basic Input Output System
C. Base Input Output Society
D. Base Input Output System
∴ 𝟏𝟏𝟏𝟎𝟐
134
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24. If you borrowed P 10,000 from a bank with 18% interest per annum. What is the total
amount to be paid after one year?
A. P 11,800
B. 12, 800
C. P 5,400
D. P 6,400
Solution:
𝐅 = 𝐏(𝟏 + 𝐢)𝐧 = 𝟏𝟎, 𝟎𝟎𝟎(𝟏 + 𝟎. 𝟏𝟖)𝟏 = 𝐏 𝟏𝟏, 𝟖𝟎𝟎
25. When will an amount be tripled with an interest of 11.56%
A. 9.80 years
B. 10.04 years
C. 10.54 years
D. 11.03 years
Solution:
𝐅 = 𝐏(𝟏 + 𝐢)𝐧 = 𝟑𝐏
𝟑𝐏 = 𝐏(𝟏 + 𝟎. 𝟏𝟏𝟓𝟔)𝐧
𝐧𝐥𝐧𝟏. 𝟏𝟏𝟓𝟔
𝐥𝐧 𝟑
=
;
𝐥𝐧𝟏. 𝟏𝟏𝟓𝟔
𝐥𝐧 𝟏. 𝟏𝟏𝟓𝟔
𝐧 = 𝟏𝟎. 𝟎𝟒𝟑 𝐲𝐫𝐬
26. What is the S.I. unit of pressure?
A. Dyne-cm
B. Pascal
C. Bar
D. kg/cm^2
27. 1+1 in binary is
A. 2
C. 10
D. 110
B. 11
Solution:
𝟏𝟐
𝐈𝟐 +
𝟏𝟎𝟐
28. What is the form of momentum diagram of beam supported of both ends without
external load?
A. Triangle
B. Linear
C. Circular
D. Parabola
B.
29. What is the smallest unit of information handled by a computer?
A. Bit
B. Byte
C. Cell
D. Character
30. A byte is composed of how many bits?
A. 2
B. 4
C. 6
D. 8
31. Determine the length of the shortest 2mm diameter bronze wire which can be
twisted through two complete turns without exceeding a shearing stress of 70 MPa.
Use G=35 Gpa.
A. 5640 mm
B. 5460 mm
C. 6380 mm
D. 6280 mm
Solution:
135
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𝛉=
𝐓𝐋
;
𝐉𝛉
𝐓𝐋
𝟏𝟔𝐓
𝟏𝟔𝐓
; 𝛔=
; 𝟕𝟎𝐱𝟏𝟎𝟔 =
; 𝐓 = 𝟎. 𝟏𝟎𝟗𝟗𝟔𝐍 − 𝐦
𝟑
𝐉𝐆
𝛑𝐃
𝛑(𝟐𝐱𝟏𝟎−𝟑 )𝟑
(𝟎. 𝟏𝟎𝟗𝟗𝟔)𝐋
𝟒𝛑 =
𝟒𝛑 = 𝛑
(𝟐𝐱𝟏𝟎−𝟑 )𝟒 (𝟑𝟓𝐱𝟏𝟎𝟗 )
𝟑𝟐
𝑳 = 𝟔𝟐𝟖𝟐. 𝟒 𝒎𝒎
32. In thermodynamics our attention is focused on which form of energy?
A. Kinetic Energy
B. Internal Energy
C. Potential Energy
D. Total Energy
33. If the pressure in a tank of oil (S.G.=0.80 ) is 400 kPa, what is the equivalent head in
meters of water?
A. 50.97
B. 40.77
C. 30.87
D. 60.57
Solution:
𝑯𝒘𝒂𝒕𝒆𝒓 = (𝑺𝒐𝒊𝒍 )(𝑯𝒐𝒊𝒍 )
𝝆
𝝆
=
𝑯𝒘𝒂𝒕𝒆𝒓 =
𝑺 𝜸
𝜸𝒐𝒊𝒍
𝒐𝒊𝒍 𝒘𝒂𝒕𝒆𝒓
=
𝟒𝟎𝟎
𝟎.𝟖𝟎(𝟗.𝟖𝟏)
= 𝟓𝟎. 𝟗𝟕 𝒎
𝑯𝒘 = (𝑺𝒐𝒊𝒍 )(𝑯𝒐𝒊𝒍 ) = (𝟎. 𝟖)(𝟓𝟎. 𝟗𝟕 𝒎)
∴ 𝑯𝒘 = 𝟒𝟎. 𝟕𝟕
34. A loan that is discharged or repaid by a uniform series of payments extending over
its duration is said to be
A. funded
B. depreciated
C. amortized
D. bonded
35. Which of the following engines is the most efficient?
A. gasoline engine
B. diesel engine
C. gas turbine
D. carnot engine
36. A branch of hydraulics which deals with the study of pure motion in liquids.
A. hydrology
B. hydrokinetics
C. hydrostatic
D. hydrodynamics
37. When exposed to the atmosphere, which of the following liquids is coldest?
A. Oxygen
B. nitrogen
C. hydrogen
D. helium
38. A company deposits $ 1000 every year for ten years in a bank. The company makes
no deposits during the subsequent five years. If the bank pays 8% interest. The
amount in the account at the end of 15 years is nearest to
A. $ 10,800
B. $15,000
C. $ 16,200
D. $ 21,200
Solution:
𝐏 = 𝐀[
𝟏−(𝟏+𝐢)−𝐧
𝐢
] (𝟏 + 𝐢)𝐦 = 𝟏𝟎𝟎𝟎 [
39. The abbreviation for a binary digit.
𝟏−(𝟏+𝟎.𝟎𝟖)−𝟏𝟎
𝟎.𝟎𝟖
] (𝟏 + 𝟎. 𝟎𝟖)𝟏𝟓 = 𝐏 𝟐𝟏, 𝟐𝟖𝟓. 𝟓𝟏
136
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A. bid
B. bin
C. bit
D. byte
40. For REE board examination, the passing general average is 70% provided there is
no grade below ____ in of the 3 subjects.
A. 50%
B. 60%
C. 65%
D. 40%
41. A steel support must connect two 30,000 pound tensile loads separated by 200
inches. The maximum allowable stress is 10,000 psi and the maximum allowable
elongation is 0.02 inch. What is the required area? (E= 30x10^6 psi)
A. 10 sq. in.
B. 20 sq. in.
C. 30 sq. in.
D. 40 sq. in.
Solution:
𝛅=
𝐏𝐋
;
𝐀𝐄
𝐀=
𝐏𝐋
𝟑𝟎𝟎𝟎𝟎(𝟐𝟎𝟎)
=
= 𝟏𝟎 𝐢𝐧𝟐
𝛅𝐄 𝟎. 𝟎𝟐(𝟑𝟎𝐱𝟏𝟎𝟔 )
42. Newton’s first law is of the referred to as which of the following?
A. The law of straight-line method
B. The law of momentum
C. The law of inertia
D. F = ma
43. If $ 10,000 is borrowed now at 6% interest, how much will remain to be paid after a
$3,000 payment is made four years from now?
A. $9,400
B. $7,000
C. $9,725
D. $9,625
Solution:
𝑭 = 𝑷 (𝟏 + 𝒊)𝒏 − 𝑰
𝑭 = 𝟏𝟎, 𝟎𝟎𝟎(𝟏 + 𝟎. 𝟎𝟔)𝟒 − 𝟑𝟎𝟎𝟎
∴ 𝑭 = 𝟗, 𝟔𝟐𝟓
44. A ball is thrown so that it just clears a 3 m fence 18 m away. If it left the hand 1.5 m
above the ground and at an angle of 60 degrees with the horizontal, what was the
initial velocity of the ball?
A. 16.44 m/s
B. 14.64 m/s
C. 12.24 m/s
D. 21.24 m/s
Solution:
𝑹𝒂𝒏𝒈𝒆 = 𝑽𝒐 𝐜𝐨𝐬 𝜽 𝒕
𝟏𝟖 = 𝑽𝒐 𝐜𝐨𝐬 𝟔𝟎 𝒕
𝑽𝒐 𝒕 = 𝟑𝟔 𝒎
𝑽𝒐 𝐬𝐢𝐧 𝟔𝟎 𝒕 = 𝑽𝒐 𝐬𝐢𝐧 𝟔𝟎
𝑽𝒐 𝐬𝐢𝐧 𝜽 𝒕 = 𝟑𝟏. 𝟏𝟕𝟕 𝒎
𝟏
𝒉 = 𝒉𝒐 + 𝑽𝒐 𝐬𝐢𝐧 𝜽 𝒕 + 𝒈𝒕𝟐
𝟐
𝟏𝟔𝟓 = 𝟏𝟓 + 𝟑𝟏. 𝟏𝟕𝟕 −
𝟏
𝟐
(𝟗. 𝟖𝟏)𝒕𝟐
𝒕𝟐 = 𝟔. 𝟎𝟓 ; 𝒕 = 𝟐. 𝟒𝟔𝟎
𝑽𝒐 𝒕 = 𝟑𝟔 𝒎
𝟑𝟔 𝒎
𝑽𝒐 =
= 𝟏𝟒. 𝟔𝟑𝟒 𝒎⁄𝒔
𝟐.𝟒𝟔𝟎
45. Determine the moment of inertia of an equilateral triangle 6 in on a side about an
axis through its centroidal and parallel to the base.
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A. 32.4ln^4
B. 23.4 in^4
Solution:
𝒉𝟐 = 𝟔𝟐 − 𝟑𝟐
𝟑
𝒉 = √𝟑𝒊𝒏
𝑰𝑪 =
𝒃𝒉𝟑
𝟑𝟔
=
𝟑
𝟔( √𝟑𝒊𝒏)
𝟑𝟔
C. 64.8 in^4
D. 46.8 in^4
𝟑
∴ 𝑰𝑪 = 𝟐𝟑. 𝟒 𝒊 𝒏𝟒
46. A market condition where there are two buyers and two sellers is called______
A. Duopoly
C. bilateral oligopoly
B. duopsony
D. bilateral duopoly
47. A person buys a piece of property for P100,000 downpayment and ten deferred
semi-annual payments of P8,000 each starting three years from now. What is the
present value of the investment if the rate of interest is 12% compounded semiannually?
A. P144,000
B. P192,000
C. P148,500
D. P185,000
Solution:
𝑨[(𝟏+𝒊)𝒏 −𝟏]
𝑷𝟏 = (𝟏+𝒊)𝒏
𝑷𝟏 =
𝒊
𝟖𝟎𝟎𝟎[(𝟏+𝟎.𝟎𝟔)𝟏𝟎 −𝟏]
(𝟏+𝟎.𝟎𝟔)𝟏𝟎 (𝟎.𝟎𝟔)
𝑷𝟐 ((𝟏 + 𝒊)𝒏 )
= 𝟓𝟖, 𝟖𝟖𝟎. 𝟔𝟗
𝑷𝟏 =
𝟓𝟖, 𝟖𝟖𝟎. 𝟔𝟗 = 𝑷𝟐 ((𝟏 + 𝟎. 𝟎𝟔)𝟓 )
𝑷𝟐 = 𝟒𝟑, 𝟗𝟗𝟗. 𝟎𝟕𝟔
𝑻𝒐𝒕𝒂𝒍 𝒂𝒎𝒐𝒖𝒏𝒕 = 𝟏𝟎𝟎, 𝟎𝟎𝟎 + 𝑷𝒂
𝑻𝒐𝒕𝒂𝒍 𝒂𝒎𝒐𝒖𝒏𝒕 = 𝟏𝟎𝟎, 𝟎𝟎𝟎 + 𝟒𝟑, 𝟗𝟗𝟗. 𝟎𝟕𝟔 = 𝟏𝟒𝟒, 𝟎𝟎𝟎
48. If a flea can jump straight up to a height of 0.440 m, what is its initial speed as it
leaves the ground?
A. 2.89
B. 2.98
C. 2.94
D. 2.49
Solution:
𝐯 = √𝟐𝐠𝐡 = √𝟐(𝟗. 𝟖𝟏)(𝟎. 𝟒𝟒𝟎) = 𝟐. 𝟗𝟑𝟖 𝐦/𝐬
49. An electric fan is turned off, and its angular velocity decreases uniformly from 500
rpm to 200 rpm in 4.0 s. Find the number of revolutions made by the motor in the 4-s
interval.
A. 43. 2 rev
B. 52.3 rev
C. 32.2 rev
D. 23.3 rev
Solution:
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
𝝎𝒛 = 𝝎𝒐𝒛 + 𝝎𝒓𝒕
(𝟐𝟎𝟎 𝒓𝒆𝒗 − 𝒎𝒊𝒏−𝟏 ) = (𝟓𝟎𝟎 𝒓𝒆𝒗 − 𝒎𝒊𝒏−𝟏 ) + 𝒂𝒛 (𝟒. 𝟎𝟎𝟓)
(𝟐𝟎𝟎 𝒓𝒆𝒗 − 𝒎𝒊𝒏−𝟏 ) (
𝟏 𝒎𝒊𝒏
𝟔𝟎 𝒔𝒆𝒄
) = (𝟓𝟎𝟎 𝒓𝒆𝒗 − 𝒎𝒊𝒏−𝟏 ) (
(𝟑. 𝟑𝟑 𝒓𝒆𝒗 − 𝒎𝒊𝒏−𝟏 ) = (𝟖. 𝟑𝟑 𝒓𝒆𝒗 − 𝒎𝒊𝒏−𝟏 ) (
𝒂𝒛 = 𝟏. 𝟐𝟓 𝒓𝒆𝒗 − 𝒔𝒆𝒄−𝟏
𝟏 𝒎𝒊𝒏
𝟔𝟎 𝒔𝒆𝒄
𝟏 𝒎𝒊𝒏
) + 𝒂𝒛 (𝟒. 𝟎𝟎𝟓)
𝟔𝟎 𝒔𝒆𝒄
) + 𝒂𝒛 (𝟒. 𝟎𝟎𝟓)
𝟏
𝜽 − 𝜽𝟎 = 𝒂𝒛𝒐 𝒕 + 𝒂𝟐 𝒕𝟐
𝟐
𝜽 − 𝜽𝟎 = (𝟖. 𝟑𝟑 𝒓𝒆𝒗 − 𝒎𝒊𝒏−𝟏 )(𝟒. 𝟎𝟎𝟓) +
∴ 𝜽 = 𝟐𝟑. 𝟑 𝒓𝒆𝒗
𝟏
𝟐
(𝟏. 𝟐𝟓 𝒓𝒆𝒗 − 𝒔𝒆𝒄−𝟏 )(𝟒. 𝟎𝟎𝟓)
50. Calculate the polar moment of inertia J of a 75 mm-diameter solid circular shaft.
A. 𝟑. 𝟏𝐀. 𝐱𝟏𝟎𝟔 𝐦𝐦𝟒
B. 𝟏. 𝟑𝐱𝟏𝟎𝟔 𝐦𝐦𝟒
C. 𝟐. 𝟏𝐱𝟏𝟎𝟔 𝐦𝐦𝟒
D. 𝟏. 𝟐𝐱𝟏𝟎𝟔 𝐦𝐦𝟒
Solution:
𝐉=
𝛑𝐃𝟒
𝟑𝟐
=
𝛑(𝟕𝟓)𝟐
𝟑𝟐
= 𝟑. 𝟏𝟎𝟔𝐱𝟏𝟎^𝟔𝐦𝐦^𝟒
51. The theoretical velocity generated by a 10-foot hydraulic head is
A. 12.2 ft/sec
B. 17.9 ft/sec
C. 25.4 ft/sec
D. 29.2 ft/sec
52. The element that was discovered between calcium and titanium is ____________
A. Silicon
B. Scandium
C. Molybdenum
D. Potassium
53. A tank has a gauge pressure of 500 mmHg vacuum. Find the pressure in kPa
gauge? Use a conversion factor from mmHg to Pa (Pascal = N/sq. m.) is 133.4
A. 66.7 kPa
B. 70 kPa
C. -66.7 kPa
D. -70 kPa
Solution:
−𝟓𝟎𝟎 𝐦𝐦𝐇𝐠 𝐱
𝟏𝟎𝟏.𝟑𝟐𝟓 𝐤𝐏𝐚
𝟕𝟔𝟎 𝐦𝐦𝐇𝐠
= −𝟔𝟔. 𝟔𝟔 𝐤𝐏𝐚
54. Which gate is formed by inverting the output of the AND gate?
A. NAND gate B. OR gate
C. NOR gate
D. None of these
55. Any equipment which produces, modifies, regulates, or controls the supply of electric
energy is the___________________________
A. “Electric Supply Equipment
C. ”Substation”
B. “Transformer”
D. “Generator Set”
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
56. RA 7920, Rule 2 (d) defining?
A. CHED
B. Commission
C. Board of EE
D. TESDA
57. What is the article V of Code of Ethics for Electrical Engineers?
A. Professional Life
C. Effectivity
B. Penal Provisions
D. Relations with Client and Employer
58. The best method used to refine gold metal is
A. Bassemerization
C. Distillation
B. Oxidation
D. Electrolysis
A
59. The force required to start a mass of 50 kg moving across a rough surface is 343 N.
What is the coefficient of starting friction?
A. 0.70
B. 0.80
C. 1
D. 0
Solution:
𝐅 𝟑𝟒𝟑
𝐦
𝐅 = 𝐦𝐚; 𝐚 = =
= 𝟔. 𝟖𝟔 𝟐
𝐦
𝟓𝟎
𝐬
𝐚 𝟔. 𝟖𝟔
𝛍= =
= 𝟎. 𝟕𝟎
𝐠 𝟗. 𝟖𝟏
60. An object that has momentum must also have
A. Acceleration B. impulse C. kinetic energy
D. potential energy
61. The Hooke’s law hold good within
A. Yield point
B. elastic limit
D. Euler’s limit
C. plastic limit
62. At 6%, find the capitalized cost of a bridge whose cost is P 250M and the life is 20
years, if the bridge must be partially paid at a cost of P 100M at the end of each 20
years.
A.P 295.31M
C. P 264.82 M
B. P 259.31 M
D. P 248.82 M
Solution:
𝐤 = 𝐅𝐂 +
𝐎𝐌
𝐑𝐂 − 𝐒𝐕
𝟏𝟎𝟎 − 𝟎
+
= 𝟐𝟓𝟎 + 𝟎 +
= 𝐏𝟐𝟗𝟓. 𝟑𝟎𝟖𝐌
𝐧
(𝟏 + 𝐢) − 𝟏
(𝟏 + 𝟎. 𝟎𝟔)𝟏𝟎 − 𝟏
𝐢
63. Two 100-mm diameter are connected by means of two flanges with 20-mm diameter
bolts equally spaced on a circle of 20 cm diameter. If the maximum shear in the
shaft due to torque is not to exceed 80 Mpa and average shear strength of the bolts
is not to be exceed 60 MPa for the same torque, determine the number of bolts
required.
A. 7
B. 8
C. 9
D. 10
Solution:
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
𝝉=
𝟏𝟔𝑻
𝝅𝑫𝟑
𝟔
𝟖𝟎𝒙𝟏𝟎 =
𝟏𝟔𝑻
𝝅(
𝟏𝟎𝟎 𝟑
)
𝟏𝟎𝟎𝟎
𝑻 = 𝟓𝟎𝟎𝟎𝝅𝑵 ∙ 𝒎
𝑻 = 𝑹𝑨𝑩𝒐𝒍𝒕𝒔 𝑵𝝉
𝟐
𝝅
𝟐𝟎
) ( ) (𝟐𝟎⁄𝟏𝟎𝟎𝟎) (𝑵)(𝟔𝟎𝒙𝟏𝟎𝟔 )
𝟓𝟎𝟎𝟎𝝅 = (
(𝟐𝟎)(𝟏𝟎𝟎) 𝟒
𝑵 = 𝟖. 𝟑𝟑𝟑 → 𝒎𝒖𝒔𝒕 𝒃𝒆 𝒂𝒏 𝒉𝒊𝒈𝒉𝒆𝒓 𝒊𝒏𝒕𝒆𝒈𝒆𝒓
∴𝑵=𝟗
64. A spring whose force constant is k is cut in half. Each of the new springs has a force
constant of
A. k/2
B. k
C. 2k
D. 4k
65. Light scattered perpendicularly to an incident beam is partly
A. diffracted
B. polarized
C. monochromatic D. coherent
66. RA 9136 has four sectors, which of the following is not included?
A. supply
C. generation
B. distribution
D. system operation
67. (100) base 10+(111) base 2 = (___) base 8.
A. 151
B. 153
C. 145
D. 105
68. Galvanized steel product s are coated with ______________.
A. Carbon
B. Sulfur
C. Zinc
D. Nickel
69. What is PDC stands for EPIRA?
A. Philippine Distribution Commision C. Philippine Distribution Committee
B. Philippine Distribution Code
D. Philippine Distribution Coordination
70. It is the term used to describe the complete process of bringing a new product or
service to market.
A. Design
C. Sales encouragement
B. Sourcing
D. Product development
71. The following forces act on an object: 10 N to the north, 20 N to the southeast, and
5N to the west. The magnitude of their resultant is.
A. 5N
B. 10N
C. 13N
D. 23N
Solution:
𝒇𝒐𝒓 𝑺𝒐𝒖𝒕𝒉 𝑫𝒊𝒓𝒆𝒄𝒕𝒊𝒐𝒏:
𝒀𝒂𝒙𝒊𝒔 = 𝟏𝟎 − 𝟐𝟎 𝐜𝐨𝐬 𝟒𝟓° = 𝟒. 𝟏𝟒𝟐
𝒇𝒐𝒓 𝑬𝒂𝒔𝒕 𝑫𝒊𝒓𝒆𝒄𝒕𝒊𝒐𝒏:
𝑿𝒂𝒙𝒊𝒔 = 𝟐𝟎 𝐜𝐨𝐬 𝟒𝟓° − 𝟓 = 𝟗. 𝟏𝟒𝟐
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
𝑼𝒔𝒊𝒏𝒈 𝑷𝒚𝒕𝒉𝒂𝒈𝒐𝒓𝒆𝒂𝒏𝒔 𝒕𝒐 𝒔𝒐𝒍𝒗𝒆 𝒇𝒐𝒓 𝑹:
𝑹 = √𝑿𝟐 + 𝒀𝟐
𝑹 = √𝟗. 𝟏𝟒𝟐𝟐 + 𝟒. 𝟏𝟒𝟐𝟐 = 𝟏𝟎. 𝟎𝟑𝑵 ≈ 𝟏𝟎𝑵
72. A car undergoes a constant acceleration of 6.0 m/s^2 starting from rest. In the first
second it travels
A. 3m
B. 6m
C. 18m
D. 36m
Solution:
𝟏
𝑺 = 𝑽𝑶 + 𝒂𝒕𝟐
𝑺 = (𝟎
𝒎
𝒔
𝟐
73. The mass of 8 lb of pineapples is
A. 0.25 slug
B. 0.5 slug
Solution:
𝟖 𝐥𝐛 𝐱
𝟏
) (𝟏 𝒔𝒆𝒄) + (𝟔
𝟐
𝒎
𝒔𝟐
) (𝟏𝒔)𝟐
∴ 𝑺 = 𝟑. 𝟎 𝒎
C. 4 slugs
D. 256 slugs
𝟏𝐤𝐠
𝟏 𝐬𝐥𝐮𝐠
𝐱
= 𝟎. 𝟐𝟒𝟗 𝐬𝐥𝐮𝐠
𝟐. 𝟐𝐥𝐛 𝟏𝟒. 𝟓𝟗 𝐤𝐠
74. The amount of work a 0.60-kW electric drill can do in 1.0 min is
A. 0.6 J
B. 0.6 kJ
C. 36 J
D. 36 Kj
Solution:
𝐖 = 𝐏𝐭 𝐭 = 𝟏 𝐦𝐢𝐧 = 𝟔𝟎 𝐬
𝐉
𝐖 = 𝟎. 𝟔𝟎𝐱𝟏𝟎𝟑 𝐱𝟔𝟎 𝐬 = 𝟑𝟔𝟎𝐱𝟏𝟎𝟑 𝐉
𝐬
75. A 5 kg cart accelerates at 3 m/s^2 for 4 seconds. Aafter this time, what is its kinetic
energy?
A. 22.5 J
B. 180 J
C. 720 J
D. 360 J
Solution:
𝐦
𝐕𝐟 = 𝐚𝐭 = (𝟑)(𝟒) = 𝟏𝟐
𝐬
𝟏
𝟏
𝐊𝐄 = 𝐦𝐯 𝟐 = (𝟓)(𝟏𝟐)𝟐 = 𝟑𝟔𝟎 𝐉
𝟐
𝟐
76. The thermodynamic statement of the conservation of energy of a system is the
A. first law
B. second law
C. third law
D. zeroth law
77. What is the new volume of 20 liters of gas at STP which experiences a pressure
increased of 2 atm and temperature increases of 75 deg C?
A. 6.8 liters
B. 8.5 liters
C. 7.9 liters
D. 5.6 liters
Solution:
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
𝐏𝟏 𝐕𝟏 𝐏𝟐 𝐕𝟐
=
;
𝐓𝟏
𝐓𝟐
𝐕𝟐 =
𝐏𝟏 𝐕𝟏 𝐓𝟐 (𝟏 𝐚𝐭𝐦)(𝟐𝟎𝐋)(𝟕𝟓 + 𝟐𝟕𝟑°ðŠ)
=
= 𝟖. 𝟒𝟗𝟖 𝐥𝐢𝐭𝐞𝐫𝐬
𝐓𝟏 𝐏𝟐
(𝟐𝟕𝟑°ðŠ)(𝟏 + 𝟐𝐚𝐭𝐦)
78. A carwash area is classifies as
A. Wet location B. dry location
C. damp location
D. moist location
79. Motors must be labeled with the following nameplate rating, manufacturer’s name
and etc. This is
A. Manufacturing rule
C. Wiring design rule
B. Construction rule
D. installation rule
80. In sizing of wire, this is:
A. Manufacturing rule
B. Construction rule
C. Wiring design rule
D. installation rule
81. “Heavy water” has a mass of
A. 12
B. 18
C. 20
82. The first period contains how many electrons?
A. 2
B. 4
C. 6
D. 36
D. 8
83. Which of the following would be considered a system rather than a control volume?
A. A pump
B. A tire
C. A pressure cooker
D. A turbine
84. How many grams are there in 0.01 mole of 𝑵𝒂𝟐 𝑺𝑶𝟒 ?
A. 7.1 g
B. 14.2 g
C. 9.6 g
D. 1.42 g
Solution:
𝑵𝒂 = 𝟐𝟐. 𝟗𝟖𝟗𝟕𝟕𝟎 (𝟐) = 𝟒𝟓. 𝟗𝟕𝟗𝟓𝟒
𝑺 = 𝟑𝟐. 𝟎𝟔𝟓 (𝟏) = 𝟑𝟐. 𝟎𝟔𝟓
𝑶 = 𝟏𝟓. 𝟗𝟗𝟗𝟒 (𝟒) = 𝟔𝟑. 𝟗𝟗𝟕𝟔
𝒈
𝒈𝒓𝒂𝒎𝒔 = 𝟏𝟒𝟐. 𝟎𝟒𝟐𝟏𝟒 ⁄𝒎𝒐𝒍 𝒙 𝟎. 𝟎𝟏 𝒎𝒐𝒍 = 𝟏. 𝟒𝟐 𝒈
85. A capillary tube of internal radius 0.25 mm is dipped into water of surface tension 72
dynes/cm. How high does the water rise in the tube?
A. 5.46 cm
B. 5.88 cm
C.5.36 cm
D. 5.97 cm
Solution:
𝐡=
𝟕𝟐𝐝𝐲𝐧𝐞𝐬 𝟏𝟎−𝟓 𝐍 𝟏𝟎𝟎 𝐜𝐦
)(
)(
)
𝐜𝐦
𝟏 𝐝𝐲𝐧𝐞
𝟏𝐦
𝟗𝟖𝟏𝟎(𝟓𝐱𝟏𝟎−𝟒 )
𝟒(
86. The particle inside the nucleus is called
A. Nucleic
B. Nuclons
= 𝟎. 𝟎𝟓𝟖𝟕 𝐦 𝐨𝐫 𝟓. 𝟖𝟕 𝐜𝐦
C. Nucleons
D. nuclei
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
87. What is the change in entropy of a gas if the temperature increases from 100 K to
101 K when heat is added and the volume is kept constant?
A. 0.250 J/mole-K
B. 0.125 J/mole-K
C. 0.375 J/mole-K
D. 0.025 J/mole-K
Solution:
𝟏𝟎𝟏
𝑺 = 𝟏𝟐. 𝟓𝟕 𝒍𝒏 (
𝟏𝟎𝟎
𝑱
) = 𝟎. 𝟏𝟐𝟓 ⁄𝒎𝒐𝒍 ∙ 𝑲
88. What is the molarity of the solution if 150 g of KCI is dissolved in water to make 800
ml of solution?
A. 2.51 M
B. 2.25 M
C. 2.87 M
D. 1.53 M
Solution:
𝟏 𝒎𝒐𝒍𝒆 𝑲𝑪𝑳
(𝟏𝟓𝟎 𝒈 ) (
) = 𝟐. 𝟎𝟏 𝒎𝒐𝒍𝒆 𝑲𝑪𝑳
(𝟏. 𝟎 𝑳) (
𝟕𝟒.𝟓𝟓 𝑮
𝟏𝟎𝟑 𝒎𝒍
𝟐.𝟎𝟏 𝒎𝒐𝒍𝒆 𝑲𝑪𝑳
𝟏𝑳
)(
𝟖𝟎𝟎 𝒎𝒍
) = 𝟐. 𝟓𝟏 𝑴
89. A combine 9.3’ of water, 6.5’ of oil (SG = 0.71), and 5.0’ of air at 26 psig and 70 deg
F. What is the absolute pressure at the bottom of the container?
A. 47.637 psia B. 46.377 psia
C. 43.767 psia
D. 46.737 psia
Solution:
𝑷𝑻 = 𝑷𝟏 + 𝑷𝟐 + 𝑷𝟑 + ⋯ 𝑷𝑵
𝑷𝑻 = 𝜸𝟏 𝒉𝟏 + 𝜸𝟐 𝒉𝟐 + 𝑷𝟑
𝟗. 𝟑
𝟏𝟎𝟏. 𝟑𝟐𝟓
𝟔. 𝟓
𝑷𝑻 = (𝟗. 𝟖𝟏) (
) (𝟎. 𝟕𝟏) + 𝟗. 𝟖𝟏 (
) + 𝟐𝟔 [
]
𝟑. 𝟖
𝟑. 𝟐𝟖𝟎𝟖
𝟏𝟒. 𝟕
𝑷𝒈 = 𝟐𝟐𝟎. 𝟖𝟐 𝒌𝑷𝒂𝒈
𝑷𝒂𝒃𝒔 = 𝑷𝒈 + 𝑷𝒂𝒕𝒎
𝑷𝒂𝒃𝒔 = 𝟐𝟐𝟎. 𝟖𝟐 + 𝟏𝟎𝟏. 𝟑𝟐𝟓
𝑷𝒂𝒃𝒔 = 𝟑𝟐𝟐. 𝟏𝟒𝟕 𝒌𝑷𝒂𝒂
𝑷𝒂𝒃𝒔 = 𝟐𝟐𝟎. 𝟖𝟐 + 𝟏𝟎𝟏. 𝟑𝟐𝟓𝟑𝟐𝟐. 𝟏𝟒𝟕 𝒌𝑷𝒂𝒂 (
𝑷𝒂𝒃𝒔 = 𝟒𝟔. 𝟕𝟑𝟔 𝒑𝒔𝒊𝒂
90. Give the formula for magnesium carbonate
A. 𝐌𝐀. 𝐠𝐂𝐎𝟑
B. 𝐌𝐠𝐂𝐎𝟐
B.
91. Cables for 220 kV lines are invariably?
A. Mica insulated
B. Compressed oil or compress gas
𝟏𝟒. 𝟕 𝑷𝒔𝒊𝒂
)
𝟏𝟎𝟏. 𝟑𝟐𝟓 𝒌𝑷𝒂𝒂
C. 𝐌𝐠𝐂𝐎
D. 𝐌𝐠 𝟐 𝐂𝐎𝟑
C. Paper insulated
D. Rubber insulated
92. What group of steels are high-carbon, high-chromium tools steels suitable for cold
working applications?
A. Group A
B. Group D
C. Group H
D. Group M
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93. Which of the following phenomenon cannot take place with sound waves?
A. Interference B. Polarization
C. Diffraction
D. Reflection
94. The ore from which iron is obtained is
A. Sphalerite
B. Bauxite
C. Taconite
D. Chalocite
95. The Electrical Engineer shall have observe such system of_______ principles and
values as a set of dynamic standards to guide his conduct and way of life. It is his
duty to practice profession according to ethics.
A. Dignity
B. Moral
C. Basic
D. Engineering
96. What is the energy of a photon of wavelength 0.1 nanometer?
A. 2.2x10^-42 J
B. 9.8x10^-26 J
C. 6.62x10^-24 J
D. 1.99x10^-15 J
Solution:
𝐜
𝟑𝐱𝟏𝟎𝟖
𝐟= =
= 𝟑𝐱𝟏𝟎𝟖 ;
𝛌 𝟏𝐱𝟏𝟎−𝟗
𝐄 = 𝐡𝐟 = 𝟔. 𝟔𝟑𝐱𝟏𝟎−𝟑𝟒 (𝟑𝐱𝟏𝟎𝟖 ) = 𝟏. 𝟗𝟖𝟗𝐱𝟏𝟎−𝟏𝟓
97. The division 11000 base 2 + 100 base 2 gives ____
A. 120
B. 110
C. 108
98. In RA7920, what rule is the date and place of exam
A. 9
B. 12
C. 10
D. 90
D. 11
99. How many atoms are there per unit cell for a face-centered cubic structured?
A. 1
B. 2
C. 3
D. 4
100. What is the most undesirable of all elements commonly found in steels?
A. Phosphorus
B. Manganese
C. Silicon
D. Sulfur
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ESAS PRE-BOARD EXAM MARCH 2014
1. Determine the modulus resilience for malleable cast iron E= 165 GPa, normal
stress= 230MPa.
A. 160.7
B. 170.6
C. 280.5
D. 250.8
Solution:
𝑠𝑡𝑟𝑒𝑠𝑠2
R = 𝑒𝑙𝑎𝑠𝑡𝑖𝑐𝑖𝑡𝑦
R=
230𝑀𝑝𝑎2
2(165 𝐺𝑝𝑎)
∴ 𝑹 = 𝟏𝟔𝟎. 𝟕
2. How much oxygen is required to convert 11.24g of cadmium to 12.84g cadmium
oxide.
A. 1.06g
B. 1.60g
C. 42.06g
D. 24.08g
Solution:
𝑀𝑜𝑥𝑦𝑔𝑒𝑛 = 𝑀𝑐𝑎𝑑𝑚𝑖𝑢𝑚 𝑜𝑥𝑖𝑑𝑒 − 𝑀𝑐𝑎𝑑𝑚𝑖𝑢𝑚
𝑀𝑜𝑥𝑦𝑔𝑒𝑛 = 12.84𝑔 − 11.24𝑔
∴ 𝑴𝒐𝒙𝒚𝒈𝒆𝒏 = 𝟏. 𝟔𝟎𝒈
3. The reaction of 6.54g of zinc and 3.2g of oxygen produces 9.74g of zinc oxide, the
only compound of these elements. How much zinc oxide would be produced if 6.54g
of zinc and 5g of oxygen were mixed and allowed to react?
A. 11.54g
B. 9.74g
C. 1.54g
D. 3.34g
Solution:
𝑀 = 𝑀𝑧𝑖𝑛𝑐 + 𝑀𝑜𝑥𝑦𝑔𝑒𝑛
𝑀 = 6.54𝑔 + 3.2𝑔
∴ 𝑴 = 𝟗. 𝟕𝟒𝒈
4. Calculate the number of moles of solute contained in 3.00L of 4.00 M solution?
A. 0.75
B. 1.33
C. 10.0
D. 12.0
Solution:
𝑁 = 𝑉 𝑥 𝑀𝑊
𝑁 = 3𝐿 𝑥 4𝑚
∴ 𝑵 = 𝟏𝟐
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5. The minimum size of copper equipment grounding conductor required for equipment
connected to a 40 ampere branch circuit is?
A. 14 sq.mm
B. 5.5 sq. mm C. 8.0 sq.mm
D. 22 sq. mm
6. A single grounding electrode is permitted when resistance to ground as stated in the
PEC is:
A. 30 ohms or less
C. 25 ohms or less
B. 30 ohms or more
D. 25 ohms or more
7. Find the pressure experienced by a scuba diver at a depth of 40m in a salt
seawater?
A. 404kPa
B. 44.0kPa
C. 4.04kPa
D. 440kPa
Solution:
𝐹 = 𝑝𝑔ℎ
𝐹 = (1.03)(9810)(40)
∴ 𝑭 = 𝟒𝟎𝟒. 𝟏𝟕𝟐𝑲𝒑𝒂
8. Given 30 mmHg abs. Find the gauge pressure in kPa
A. -98kPa
B. 98kPa
C. -89kPa
D. 89kPa
Solution:
𝑃𝑔𝑎𝑢𝑔𝑒 = 𝑃𝑎𝑏𝑠 − 𝑃𝑎𝑡𝑚
101.325 𝐾𝑝𝑎
𝑃𝑔𝑎𝑢𝑔𝑒 = (30𝑚𝑚 𝐻𝑔 𝑥
) – 101.325 𝐾𝑝𝑎
760 𝑚𝑚 𝐻𝑔
∴ 𝑷𝒈𝒂𝒖𝒈𝒆 = −𝟗𝟖 𝑲𝒑𝒂
9. A marble rolling with the speed of 20 cm/s, rolls at the edge of a table that is 60cm
high, how far horizontally, from the table edge does the ball strike the floor.
A. 5.9cm
B. 6.4cm
C. 8.1cm
D. 7.2cm
Solution:
𝐸𝑞𝑢𝑎𝑡𝑖𝑜𝑛 𝑜𝑓 𝑇𝑟𝑎𝑗𝑒𝑐𝑡𝑜𝑟𝑦
−𝑔𝑋 2
−𝑦 =
2𝑣𝑜2
−981𝑋 2
−80 =
2𝑣𝑜2
∴ 𝑿 = 𝟖. 𝟏𝒄𝒎
10. An interest rate is quoted as being 1.5% per month and compound monthly. What is
the effective annal interest rate?
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A. 18.12%
B. 19.56%
C. 1.51%
D. 16.95%
Solution:
𝐸𝑅𝐼𝑚𝑜𝑛𝑡ℎ𝑙𝑦 = 𝐸𝑅𝐼𝑎𝑛𝑛𝑢𝑎𝑙𝑙𝑦
(1 + 0.015)12 – 1 = (1 + 𝑖)1 – 1
∴ 𝒊 = 𝟏𝟗. 𝟓𝟔 %
11. This principle states that “Where the velocity of the fluid is high, the pressure is low,
and where the velocity is low, the pressure is high”.
A. Archimedes Principle
C. Flow Principle
B.Toriceilli’s Principle
D. Bernouili’s Principle
12. What is the chemical formula for Sulfur Trioxide
A. S3O2
B. S2O
C. S2O3
D. SO3
13. In how many years will the investment to double in value at 5% interest rate?
A.. 2
B. 4
C. 20
D.40
Solution:
.
𝐹 = 𝑃 ( 1 + 𝑖𝑛 )
2 = 1 ( 1 + 0.05𝑛 )
∴ 𝒏 = 𝟐𝟎 𝒚𝒓𝒔.
14. An archer his bow upward and pulls the string of his arrow with a force of 80N. the
string makes and angle of 25 degrees with the vertical. Find the tension of the string.
A.88N
B. 44N
C. 22N
D.33N
Solution:
𝑇=
𝑇=
𝐹
2
cos 𝜃
80
2
cos 25
𝑻 = 𝟒𝟒 𝑵
15. It requires Q of heat to make of coffee. How much energy is needed to make 3 cups
of coffee?
A. 3 Q
B. 2 Q
C. Q
D. 4 Q
Solution:
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𝑄𝑇 = 𝑄1 + 𝑄2 + 𝑄3
∴ 𝑸𝑻 = 𝟑𝑸
16. Car travelled 20m/s south in 3min, 25 m/s east in 2min 30m/s northeast in 1min.
Find the average speed in 6min?
A.15.31m/s
B. 13.51 m/s
C. 32.33 m/s
D. 23.33 m/s
Solution:
𝑆𝑎𝑣𝑒. = 𝑑⁄𝑡
(30)(3)(60) + (25)(2)(60) + (30)(10)(60)
(6)(60)
∴ 𝑺𝒂𝒗𝒆. = 𝟐𝟑. 𝟑𝟑 𝒎/𝒔.
17. Car travelled 20m/s south in 3min, 25 m/s east in 2min 30m/s northeast in 1min.
Find the average velocity in 6min?
A.15.31m/s
B. 13.51 m/s
C. 32.33 m/s
D. 23.33 m/s
Solution:
𝑉𝑎𝑣𝑒. = 𝑑⁄𝑡
(20∟-90)(3)(60)+(25)(2)(6)+(30∟45)(1)(60)
(6)(60)
∴ 𝑽𝒂𝒗𝒆. = 𝟏𝟑. 𝟓𝟏 𝒎/𝒔
18. Find the maximum and minimum sum of the vectors A and B with magnitude 12 and
8, respectively.
A.20 and 10
B. 20 and 4
C. 12 and 8
D. 12 and 4
Solution:
𝑀𝑎𝑥. = 12 + 8 = 𝟐𝟎
𝑀𝑖𝑛. = 12 – 8 = 𝟒
19. Calculate the pH value of 8.0 M HCI
A. 0.903
B. -0.903
C. 0.309
D. -0.309
Solution:
𝑃𝐻 = − log(𝐻)
𝑃𝐻 = − log(8)
𝑷𝑯 = −. 𝟗𝟎𝟑
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20. Calculate the molarity of a 250-ml solution containing 80.0 mmol of solute.
A. 0.320M
B. 0.230M
C. 0.820M
D. 0.280M
Solution:
𝑀 = 80/250
∴ 𝟎. 𝟑𝟐 𝑴𝒐𝒍𝒆
21. The charge of aluminum atom in the aluminum foil is:
A. 0
B. +1
C. +2
D. +3
22. What is CPE in RA 7920 stands for?
A. Continuous Professional Educatio C. Continuous Professional Educator
B. Continuing Professional EducationD.ContinuingProfessional Educator
23. What is PSALM in EPIRA stands for.
A.PrivateSectorAssetsandLiabilitiesManagement
B. Private Section Assets and Liabilities Management
C. Power Sector Assets and Liabilities Management
D. Power Section Assets and Liabilities Management
24. A deposit of P10,000 is made in the bank account that pays 8% interest
compounded annually. How much money will be in the account after one year?
A.P10,600
B. P10,700
C. P10,800
D. P10.600
Solution:
𝐹 = 𝑃 ( 1 + 𝑖 )𝑛 = 10,000(1 + 0.08)1
∴ 𝑭 = 𝟏𝟎, 𝟖𝟎𝟎
25. It is the sum of the internal energy and PV
A. entropy
B. enthalpy
C. energy
D.electric field
26. A boy and his sledge weighs m, on an inclined surface with angle of inclination of
phi. And coefficient friction of u. What is the frictional force?
A. mgsinphi
B. mgcosphi
C. 𝜇mgsinphi D. 𝝁mgcosphi
27. Two sky divers jump at the same time and want to play catch. Where should one
aim if he wants the other catch it?
A. below
C. above because ball falls slower
B. above because ball falls faster
D. straight because there’s no air resistance
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
28. Which of the following is not part of this requirements to take RME?
A. Taken 1-year electrician course and 3-years appreniceship
B. Taken 2-year electrician course and 2-years appreniceship
C. Taken 3-year electrician course and 1-years appreniceship
D. Graduate of BSEE
29. Which of the following is non-renewable energy?
A. nuclear
B. wind
C. solar
D. geothermal
30. What is JCPC is EPIRA stands for?
A. Joint Congressional Power Committee
B. Joint Congress Power Committee
C. Joint Congressional Power Commission
D. Joint Congress Power Commission
31. What is PEMC is EPIRA stands for?
A. Philippine Electricity Market Commission
B. Philippine Electricity Market Company
C. Philippine Electricity Market Committee
D. Philippine Electricity Market Corporation
32. A reinforced concrete column 250mm in diameter is designed to carry an axial
compressive load of 400kN. Using allowable stresses for concrete of 6MPa and
stands for steel of 120MPa, find the required area of stresses of reinforcing steel.
Assume Ec= 14Gpa and Es= 200Gpa. .
A.1728 sq.mm
B. 1323 sq.mm
C. 1636 sq.mm
D.1448 M2
Solution:
Ɣ𝑐 = Ɣ𝑠 Ɣ𝑐 = Ɣ𝑠
𝑆𝐿 𝑆𝐿
=
𝐸
𝐸
𝑆𝑠
6𝑀
=
14 𝐺𝑃𝑎 200 𝐺𝑃𝑎
𝑆𝑠 = 85. 71 𝑀𝑃𝑎
𝑆 = 𝑃⁄𝐴
𝐴𝑐 + 𝐴𝑠 =
𝜋
4(250 𝑥10−3 )2
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𝐴𝑐 =
𝜋
− 𝐴𝑠
4(250 𝑥10−3 )2
𝑆𝑐𝐴𝑐 + 𝑆𝑠𝐴𝑠 = 400,000
(6𝑀)(𝜋/4 × 250 × 10 − 3 ) – 𝐴𝑠) = (85.71𝑀)𝐴𝑠 = 𝟒𝟎𝟎, 𝟎𝟎𝟎
A = 1.323×10-3m2×10002mm2
1m2
∴ 𝑨 = 𝟏𝟑𝟐𝟑. 𝟐𝟒𝒎𝒎𝟐
33. An aluminum tube (G = 28 GPa) has an outer diameter of 100mm and an inner
diameter of 60mm. when twisted by a torque T, the tube develops a maximum
normal straim of 650 x 10-6. What is the magnitude of the applied torque T?
A. 8500 N-m.
B. 5600 N-m
C. 6700 N-m
D. 7600 N-m
Solution:
𝝉=
𝟏𝟔𝑻𝑫
𝝅(𝑫𝟒 −𝒅𝟒 )
𝜏 = 𝐸𝜀
𝜏 = 70𝑥109 (65𝑥10−6 )
𝜏 = 45.5 𝑥106
100
)
16𝑇 (
1000
45.5 𝑥106 =
100 4
60 4
𝜋 ((
)
−
(
) )
1000
1000
∴ 𝑻 = 𝟕𝟕𝟕𝟔. 𝟎𝟕 𝑵 − 𝒎 ≈ 𝟕𝟔𝟎𝟎𝑵 − 𝒎
34. What is TSC in EPIRA stands for?
A. Transition Supplier Contract
B TransitionSupplyContract
C. TransitionSupplierCommission
D. Transition Supply Commission
35. The rate of change of shear strain in fluid is:
A. Shear rate
B. pressure rate
C. stress rate
D. strain rate
36. If a twisting moment of 10,000 lb-in is impressed upon a 1-3/4 in diameter shaft,
what is the angle of twist In a 4ft length of the shaft? The material is steel which is
G= 12 x 106 psi.
A. 0.0543 rad
B. 0.0435 rad
C. 0.0235 rad
D. 0.0325 rad
Solution:
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𝛾 = (10,000)(12)
𝜋/4(1 − 3/4)4(12 × 104)
∴ 𝟎. 𝟎𝟒𝟑𝒓𝒂𝒅
37. A square steel bar is 2 inches on a side and 10 inches long. It is loaded by an axial
tensile force of 40000 lb. if E = 30x10 6 psi and 𝜇 = 0.3, determine the change of
volume per unit volume.
A. 0.000133
B. 0.00133
C. 0.000122
D. 0.00122
Solution:
𝚫𝑽
𝐕
=
𝑷
𝑨𝑬
(𝟏 − 𝟐𝝁)
Δ𝑉
40,000
= 2
(1 − 2(0.3))
V
2 (30𝑥106 )
𝚫𝑽
= 𝟎. 𝟎𝟎𝟎𝟏𝟑𝟑
∴
𝐕
38. A car moving at 30 m/s slows uniformly to speed of 10 m/s in a time of 5.0s.
Determine the distance of moves in the third second.
A. 10m
B. 15m
C. 20m
D. 30m
Solution:
𝑉𝑓 = 𝑉𝑜 + 𝑎𝑡
1 = 0 + 𝑎(5)
𝑎 = −4𝑚/𝑠
𝑆3 = 𝑉𝑜𝑡 +
1
2𝑎𝑡 2
𝑆3 = 7(3) + ½(−4)(3)2
𝑆3 = 72
𝑆2 = (30)(2) + ½(−4)(2)2
𝑆2 = 52
𝑺𝟐𝟑 = 72 – 52 = 𝟐𝟎𝒎
39. In RA 7920, under the Penalty Clause, The fine shall be:
A. not less than P60,000
C.notlessthanP20,000
B. not less than P50,000
D. not less than P10,000
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
40. A solid cube of aluminum is 2.00cm on each edge. The density of aluminum is 2700
kg/cu.m. Find the mass of the cube?
A. 26.1g
B. 21.6g
C. 32.4g
D. 34.2g
Solution:
𝑀𝑎𝑠𝑠 = 𝑣𝑜𝑙𝑢𝑚𝑒 𝑥 𝑑𝑒𝑛𝑠𝑖𝑡𝑦
= (8𝑥106) (2700 𝑘𝑔/𝑚3)
∴ 𝟐𝟏. 𝟔 𝒈
41. Calculate the force due to the pressure acting of the 1-m diameter horizontal hatch
of a submarine submerged 600m below the surface.
A. 4.62 x 10^8N B. 4.62 x 10^5 N
C. 4.26 x 10^8 N D.4.26x 10^5
Solution:
𝐹 = 𝛾ℎ𝐴
𝜋
𝐹 = (9.81 𝑥103 )(600) ( ) (1)2
𝑭 = 𝟒. 𝟐𝟔 𝒙𝟏𝟎𝟖 𝑵
4
42. The temperature of a body is 50 deg F. find the temperature in K.
A. 10
B. 263
C. 283
D. 510
Solution:
𝟓
(℉ − 𝟑𝟐) ∗ + 𝟐𝟕𝟑 = 𝑲
𝟗
5
(50 ℉ − 32) ∗ + 273
9
∴ 𝑲 = 𝟐𝟖𝟑
43. Determine the force necessary to accelerate a mass of 20 lbm, at a rate of 60
ft/sq.sec vertically upward.
A.37.3 lbf
B. 57.3 lbf
C. 73.3 lbf
D. 75.3 lbf
Solution:
𝐹 = (20)(1 +
60
)
32.2
∴ 𝑭 = 𝟓𝟑. 𝟑𝒍𝒃𝒇
44. In thermodynamics our attention is focused on which form of energy.
A. Kenetic energy
B. internal enegy C. Potential energy D.Total energy
154
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45. Energy is added to a piston-cylinder arrangement, and the piston is withdrawn in
such a wa that are quantity PV remains constant. The insist pressure and volume
are 200kPa and 2 cu.m, respectively. If the final pressure is 100kPa, Calculate the
work done by the gas on the piston.
A. 428kJ
B. 482kJ
C. 287kJ
D. 277Kj
Solution:
𝑃
𝑊 = 𝑃1 𝑉1 𝑙𝑛 (𝑃1 )
2
𝑊 = (200)(2) ln (
200
)
100
𝑾 = 𝟐𝟕𝟕 𝒌𝑱
46. The shaft drives in an automobile delivers 100 N-m of torque as it rotates 3000 rpm.
Calculate the horsepower delivered ?
A. 46.2Hp
B. 84.6Hp
C. 42.1Hp
D. 86.4Hp
Solution:
𝐻𝑃 =
2𝜋𝑁𝑇
(2𝜋)(3000)(100)
=
60
60
∴ 𝑯𝑷 = 𝟒𝟐. 𝟏𝟏 𝒉𝒑
47. A 0.75Hp motor acts for 8.0s on an initially non-rotating wheel having a moment of
inertia of 2kg-sq.m, Find the angular speed developed in the wheel, assuming no
losses.
A. 67 rad/s
B. 76 rad/s
C. 89 rad/s
D. 98 rad/s
Solution:
𝑊𝑜𝑟𝑘 𝑑𝑜𝑛𝑒 𝑏𝑦 𝑚𝑜𝑡𝑜𝑟 𝑖𝑛 8.0 𝑠 = 𝐾𝐸 𝑜𝑓 𝑤ℎ𝑒𝑒𝑙 𝑎𝑓𝑡𝑒𝑟 8.0 𝑠
(𝑝𝑜𝑤𝑒𝑟) 𝑥 (𝑡𝑖𝑚𝑒) =
1
(𝐼)(𝜔)²
2
(0.75 ℎ𝑝)(746 𝑊/ℎ𝑝)(0.8 𝑠) = 1/2(2.0 𝑘𝑔. 𝑚^2)(𝜔)²
∴ 𝝎 = 𝟔𝟕 𝒓𝒂𝒅/𝒔
48. The length of free conductors at outlets and switch point for splices and connection
of fixture and develops must be at least
A. 80mm
B. 100mm
C. 120mm
D. 150mm
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49. It is the process of determining the value or worth of a physical property for specific
reason.
A. investment B. valuation
C. economy
D. depletion
50. How high would water rise in the pipes of a building if the water pressure gauge
show the pressure at the ground floor to be at 270kPa?
A. 28.9m
B. 29.8m
C. 27.5m
D. 25.7m
Solution:
𝑍 =
270𝑘𝑃𝑎
9.81𝑚/𝑠
∴ 𝒁 = 𝟐𝟕. 𝟓 𝒎
51. An annuity where the payments are made at the beginning of each period.
A. ordinary annuity
B. deferred annuity C. annuity due
D. perpetuity
52. The air in the cylinder of the air compressor is compressed from 100kPa to 10MPa.
Estimate the final temperature required if the air is initially at 100 degree celsius.
A. 37300K
B. 33700K
C. 1930K
D. 1390K
Solution:
𝑷𝟏
𝑻𝟏
𝑷𝟐
= 𝑻𝟐
𝟏𝟎𝟎𝒙𝟏𝟎𝟑
𝟏𝟎𝒙𝟏𝟎𝟔
=
𝟏𝟎𝟎+𝟐𝟕𝟑
𝑻𝟐
𝑻𝟐 = 𝟑𝟕𝟑𝟎𝟎𝑲
53. What is the minimum diameter of a solid steel shaft that will not twist through more
than 3 deg in 6-m length, when subjected to a torque of 14Kn-m?
A. 0.500m
B. 0.125m
C. 0.118m
D. 0.220m
Solution:
Ɵ = 𝑇𝐿⁄ 𝜋𝐷4
( )(𝐺)
3 =
32
(14000)(6)
⁄ 𝜋𝐷4
9
(
32 )(83𝑥10 )
∴ 𝑫 = 𝟎. 𝟏𝟏𝟖 𝒎
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54. Sec 17(b) of Art lll: Examination and Registration, Qualifications of applicants for
Registered Electrical Engineer, states that an applicant is at least be ___ years of
age.
A. 21
B. 23
C. 24
D. 25
55. The number 1000 base 2 is equivalent to decimal number ____.
A. 1000
B. 16
C.8
D. 4
56. A tank of volume 590 liters contains oxygen at 20 deg C and 5.0 atm pressure.
Calculate the mass of horizontal component of its velocity will be
A. 3.9kg
B.9.3kg
C.2.8kg
D.6,2kg
Solution:
(5)(101.325𝐾𝑃𝑎)(590/1000) = 𝑚(251.9)(20 + 273)
𝑚 = 3.79 = 𝟑. 𝟗𝒌𝒈
57. A ball is thrown at a 30 degrees angle above the horizontal with a speed of 10ft/s.
After 0.50s the horizontal component of its velocity will be
A. 9ft/s
B.10ft/s
C.12ft/s
D.19ft/s
Solution:
2𝑉𝑠𝑖𝑛α
𝑔
2𝑉𝑠𝑖𝑛30
0.5 =
20
∴ 𝑽 = 𝟏𝟎 𝒇𝒕/𝒔𝒆𝒄
58. The machine that is employed for converting the energy of flow in a pipeline into
mechanical work is called
A. turbine
B. pump
C. nozzle
D. motor
𝑡=
59. What is decimal value equivalent of the binary number 101.1101?
A. 5.8031
B. 5.8531
C. 5.8021
D. 5.8125
Solution:
𝑁 = 1𝑥10−1 + 1𝑥10−2 + 0𝑥10−3 + 1𝑥10−4
𝑁 = 0.8125
𝑁 = 5 + 0.8125
∴ 𝑵 = 𝟓. 𝟖𝟏𝟐𝟓
157
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60. The coefficient of static friction for steel on ice is 0.1. the force needed to set a 70-kg
skater in motion is about.
A. 0.1N
B. 0.7N
C. 7N
D. 70N
Solution:
𝐹 = 70(9.81)(0.1)
𝐹 = 68.67𝑁
∴ 𝑭 = 𝟕𝟎𝑵
61. A 3.2-lb stone at the end of a string 2.0 ft long is whirled in a vertical circle. The
tension in the string is 5.0-lb when the stone is set at the top of the circle. The
stone’s velocity when is
A. 1.8ft/s
B. 6.0ft/s
C. 10ft/s
D. 12.6ft/s
Solution:
𝑇=
𝑚𝑉 2
𝑟
𝒇𝒕⁄
𝒔
62. The equivalent grounding conductor of a branch circuit shall be identified by what
color?
A. red with green stripe B. white
C. black and yellow D.greenand yellow
5= [
3.2
𝑉2
] [ 2 ] = 𝟏𝟎
32.2
63. A car that travels at 40kph for 2.0hrs, at 50kph for 1.0hr, and at 2 kph for 0.50 hr,
has an average speed of
A. 31pkh
B. 40kph
C. 45kph
D. 55kph
Solution:
𝐴𝑆 =
𝐷1(𝑇1) + 𝐷2(𝑇2) + 𝐷3(𝑇3)
𝑇1 + 𝑇2 + 𝑇3
(40𝑥2) + (50𝑥1) + (2𝑥. 5)
2 + 1 + .5
𝑨𝑺 = 𝟒𝟎 𝒌𝒑𝒉
64. A copper bar is 1,0m long at 20 deg C. at what temperature will it be shorter by 1.0
min?
A. -17 deg C
B. -39 deg C
C. -59 deg C
D. -79 deg C
𝐴𝑆 =
Solution:
(−1𝑥10 − 3) = (16.5𝑥10 − 6)(1)(𝑇 − 20)
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𝑇 = −40.6 𝑑𝑒𝑔 𝐶
∴ 𝑻 = −𝟑𝟗 𝒅𝒆𝒈 𝑪
65. A ball thrown horizontally from the roof of a building 45.0m tall and lands 24.0m from
the base. What was the ball’s initial speed.
A. 60g
B. 75g
C. 120g
D. 200g
Solution:
𝑄 = 𝑚𝑐 𝑇
𝑄𝑟 = 𝑄𝑙
𝑚(40 − 100) = (300)(0 − 40)
∴ 𝒎 = 𝟐𝟎𝟎𝒈
66. The most important element that controls the physical properties of steel is.
A. silicon
B. tungsten
C. manganese
D. carbon
67. A heat pump delivers 20,000 kJ/hr of heat with a 1.39 kW input. Calculate the COP.
A. 2
B. 3
C. 4
D. 5
Solution:
COP =
COP =
Q
P
20000
1.39x3600
∴ 𝑪𝑶𝑷 = 𝟒
68. Spark plug makes use of which of the following materials for insulation?
A. porcelain
B. asbestos
C. slate
D. glass
69. A ball is thrown horizontally from the roof of a building 45.0m tall and lands 24.0m
from the base, What is was the ball’s initial speed?
A. 6.32m/s
B. 4.43m/s
C. 8.68m/s
D. 7.92m/s
Solution:
x = x0+ Vot
x = 0 + Vot
x=Vot
Vo =
x
t
y = yo+ Vot+ ½ ayt2
0 = yo + 0 + ½ ayt2
0 = yo + ½ ayt2
−2yo
t=√
𝑎𝑦
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Vo =
24
3.0304
∴ 𝑽𝒐 = 𝟕. 𝟗𝟐 𝒎/𝒔
−2(45)
t=√
−9.81
t = 3.0304s
70. In electrochemistry, oxidation is a loss of _________.
A. electron
B. proton
C. ion
D. anode
71. What is the maximum operating temperature of a THWN conductor?
A. 60 deg C
B. 75 deg C
C. 90 deg C
D. 110 deg C
72. Cash money and credit necessary to establish and operate on enterprises.
A. capital
B. funds
C. assets
D. liabilities
73. What is the form of the moment diagram of a beam supported at both ends and
carrying a uniform distributed load.
A. triangle
B. hyperbola
C. parabola
D. rectangle
74. Every object continues in its state of rest, or of uniform velocity in a straight line, as
long as no net force acts on it, this statement is in the accordance ti
A. newton first law of motion
C. newton’s third law of motion
B. newton’s second law of motion
D. all of these
75. When a pressure of 2.0 MPa is applied to a sample of kerosene, it contracts by
0.15%. the bulk modulus of kerosene is:
A. 1.8GPa
B. 1.1GPa
C. 1.6GPa
D. 1.3GPa
Solution:
𝛽=
𝛽=
𝑃
∆𝑉
𝑉
2𝑥106
0.15%
= 𝟏. 𝟖 𝑮𝑷𝒂
76. P 12.000 is borrowed now at 12% interest. The first payment P4,000 and is made 3
years from now, The balance of debt is immediately after the payment is:
A. P4,000
B. P8,000
C. P12,000
D. P12,860
Solution:
𝐹 = (12,000)(1 + 0.12)3
𝐹 = 16859.136
𝐵𝑎𝑙𝑎𝑛𝑐𝑒 = 𝐹 − 𝑃1
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𝐵𝑎𝑙𝑎𝑛𝑐𝑒 = 16859.136 − 4000
∴ 𝑩𝒂𝒍𝒂𝒏𝒄𝒆 = 𝑷𝟏𝟐𝟖𝟓𝟗. 𝟏𝟑𝟔 ≈ 𝟏𝟐, 𝟖𝟔𝟎. 𝟎𝟎
77. The first period contains how many elements.
A. 2
B. 4
C. 6
D. 8
78. Any equipment which produces, modifies, regulates, or controls the supply of
electric energy is the “______________”
A. Electric Supply Equipment
C. Substation
B. Transformer
D. Generator Set
79. If ṩ10,000 is borrowed now at interest of 6%, how much will remain to be paid after a
ṩ3,000 payment is made four years from now?
A. ṩ9,400
B. ṩ7,000
C. ṩ9.625
D.ṩ9,725
Solution:
𝐹 = (10000)(1 + 0.06)4
𝐹 = 12624.77
𝐵𝑎𝑙𝑎𝑛𝑐𝑒 = 12624.77 − 3000
∴ 𝑩𝒂𝒍𝒂𝒏𝒄𝒆 = 𝟗. 𝟔𝟐𝟓
80. Compute the average speed of water in a pipe having an inside diameter of 5.0cm
and delivering 2.5cu.m of water per hour.
A. 0.28m/s
B. 0.96m/s
C. 0.35m/s
D. 0.85m/s
Solution:
𝐵𝑦 𝑢𝑛𝑖𝑡 𝑎𝑛𝑎𝑙𝑦𝑠𝑖𝑠
𝐴𝑉 =
[
25
]
(60)(60)
𝜋
5 2
[( ) (
4 100) ]
∴ 𝑨𝑽 = 𝟎. 𝟑𝟓 𝒎⁄𝒔
81. The theoretical head in m, required to push water through a 3-cm round orifice at
15m/s is closest to
A. 11.5
B. 12.7
C. 13.4
D. 1.5
82. A machine an initial cost of P50,000.00 and a salvage value of P10,000.00 after 10
years. What is the book value after 5 years using straight line depreciation?
161
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
A. P35,000.00
B. P25,000.00
C. P15,000.00 D. P30,000.00
Solution:
(𝐶𝑜−𝐶𝑙)
𝐶𝑛 = 𝐶𝑜 − 𝑛[
𝐿
]
𝐶𝑛 = 50,000
(50,000 − 10,000)
]
10
∴ 𝑪𝒏 = 𝑷𝟑𝟎, 𝟎𝟎𝟎. 𝟎𝟎
−5 [
83. A 20-kg piston rests on a sample of a gas in a cylinder 10cm radius. The absolute
pressure of the gas is?
A. 0.0064bar
B. 0.062bar
C. 1.019bar
D. 1.075bar
Solution:
84. An annuity of ṩ5600 is paid each year for 10 years. The payment is made at year
end. If the interest rate is 10%, what is the present worth of the 10 payments?
A. ṩ14526
B. ṩ89247
C. ṩ56000
D. ṩ34110
Solution:
𝑃 = 5600[
{(1+0.10)10 −1}
(0.10)(1+0.10)10
]
∴ 𝑷 = 𝟑𝟒𝟏𝟏𝟎
85. Calculate the volume at STP of 26.7g of oxygen gas.
A. 17.8L
B. 87.1L
C. 18.7L
D. 78.1L
Solution:
(101.325𝑥103 )𝑉 = (26.7𝑔) (
1𝑘𝑔
1000𝑔
259.90𝐽
)(
𝑘𝑔۰𝐾
) (273)
1000𝐿
𝑉 = 0.018697𝑚3 (
)
1𝑚3
∴ 𝑽 = 𝟏𝟖. 𝟕𝑳
86. A baseball bat strikes a ball with a force of 30-N. if the ball was in contact with the
bat fir 1/10 of a second. What impulse did the ball receive?
A. 3 N-s
B. 6 N-s
C. 9 N-s
D. 12 N-s
Solution:
1
. 𝐹 = 𝑓𝑡 = (30) ( )
10
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∴ 𝑭 = 𝟑𝑵
87. The minimum size of conductors to be used for lighting purposes is:
A. 1.5 sq.mm
B. 1.25 sq.mm C. 1.75 sq.mm D. 2.0 sq.mm
88. A forces of 10-N is applied to one end of a 10 in diameter circular rod. Calculale the
stress.
A. 0.15kPa
B. 0.10kPa
C. 0.20kPa
D. 0.05kPa
Solution:
𝑆=
10
2.54𝑐𝑚
1𝑚 2
𝜋
𝑥(
) )]
[( )(10𝑖𝑛 𝑥
1 𝑖𝑛
100𝑐𝑚
4
∴ 𝑺 = 𝟎. 𝟐𝟎𝑲𝑷𝒂
89. Calculate the molality of a solution containing 0.500 mol of solute in 250g of solvent.
A. 1.50m
B. 2.00m
C. 2.50m
D. 3.00m
Solution:
𝑀 = 0.5/(250/1000) = 𝟐 𝒎
90. The president of a growing engineering firm wishes to give each of 50 employees a
holiday bonus, how much is needed to invest monthly for a year at 12% nominal rate
compounded monthly, so that each employee will receive P1000 bonus?
A. P3942.44
B. P3271.22
C. P3600.12
D. P3080.32
Solution:
𝑟
𝑛
𝑟
𝑛
𝑛𝑡
𝐴[(1+( )) −1]
; (50)(1 × 103 ) =
∴ 𝑨 = 𝑷𝟑𝟗𝟒𝟐. 𝟒𝟒
𝐴[(1+(
12
0.12
)) −1]
12
0.12
12
91. A hallow shaft has an inner diameter of 0.035m and an outer diameter of 0.06m.
compute the torque if the shear stress is not to exceed 120MPa.
A. 4500 N-m
B. 4100 N-m
C. 4300 N-m
D. 4150 N-m
Solution:
Ԏs==
𝟏𝟔𝑻𝑫
𝝅(𝑫𝟒 −𝒅𝟒 )
120𝑀𝑃𝑎 =
16𝑇(0.06)
𝜋(0.064 −0.0354 )
∴ 𝑻 = 𝟒𝟓𝟎𝟎 𝑵 − 𝒎
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92. What mass in grams of solute is needed to prepare 3.50L of 0.400M NaOH?
A. 54
B. 56
C. 52
D. 58
Solution:
Na = 23g/mol
O = 16g/mol
H = 1g/mol
M=
𝒎𝒐𝒍𝒆𝒔 𝒐𝒇 𝒔𝒐𝒍𝒖𝒕𝒆
𝑳𝒊𝒕𝒆𝒓 𝒐𝒇 𝒔𝒐𝒍𝒖𝒕𝒊𝒐𝒏
0.400 𝑚𝑜𝑙𝑒
𝑥
= [
] / 3.5𝐿
(23 + 16 + 1)𝑔/𝑚𝑜𝑙
𝐿
𝒙 = 𝟓𝟔 𝒈𝒓𝒂𝒎𝒔
93. What load in lb, must be applied to a 1-in round steel bar 8ft long (E=30x10^6 psi) to
stretch a the bar 0.05in?
A. 7200
B. 9800
C. 8600
D. 12250
Solution:
δ=
𝑷𝑳
𝑨𝑬
0.05 =
𝑃(8×12)
6
𝜋
( )(1)2(30×10 )
4
∴ 𝑷 = 𝟏𝟐𝟐𝟓𝟎𝒍𝒃
94. A gas expands by 1.0L at a constant pressure of 2.0 bars, During the expansion
500J of heat is added . find the change in the internal energy?
A. 300J
B. 200J
C. 400J
D. 100J
Solution:
1L*bar = 100 Joules
Q = ΔU + W
ΔU = Q – W
ΔU = 500J – (1L*2 bar) (
100 Joules
1L∗bar
)
∴ 𝜟𝑼 = 𝟑𝟎𝟎𝑱
95. A man expects to receive P20,000 in 10 years. if interest is computed at 6% interest
compounded quarterly, how much is it worth today?
A. P11,025.25 B. P11,035.25
C. P11,045.25D. P11,055.25
Solution:
𝒓
𝒏𝒕
𝑭 = 𝑷 (𝟏 + ( ))
𝒏
164
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
20,000 = 𝑃(1 + (
0.06
4
∴ 𝑷 = 𝑷𝟏𝟏, 𝟎𝟐𝟓. 𝟐𝟓
)^10𝑥4
96. A sharp edge orifice will be required to produce a discharge of 35liters/sec of water
under a head of 3m. the required diameter is nearest to, when C-0.596.
A. 125mm
B. 100mm
C. 75mm
D. 50mm
97. LED displays represents
A. Loop Emitter Decoder
B. Light Emitting Diode
C. Long Emission Disc
D. Logic Electrostatic Diode
98. What velocity in m/s did an airplane take off from a landing field that has run 500m if
it starts from rest, moves the constant acceleration and makes the run in 30sec?.
A. 33.33
B. 45.15
C. 56.67
D. 66.67
Solution:
.𝑺 =
(𝑽𝒇+𝑽𝒐)(𝒕)
𝟐
(𝑉𝑓+0)(30)
500 =
2
∴ 𝑽𝒇 = 𝟑𝟑. 𝟑𝟑 𝒎/𝒔
99. A 600 N object is to be given an acceleration of 0.70m/sq.sec. How large an
unbalanced force must
act upon it?
A. 39 N
B. 93 N
C. 43 N
D. 34 N
Solution:
𝑭=
𝐹=
𝒘𝒂
𝒈
600(0.70)
9.81
∴ 𝑭 = 𝟒𝟑 𝑵
100. A car has wheels of radius of 30cm. if starts from rest and accelerates uniformly
to a speed of 15m/s in a time of 8.0s. find the number or rotations one wheel makes
in this time.
A. 36
B. 32
C. 26
D. 2
Solution:
𝑺=
𝑆=
(𝑽𝒇+𝑽𝒐)(𝒕)
𝟐
(15+0)(8)
2
S = 60 m
165
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
𝑵=
N=
𝑺
𝑪
60
𝟐𝜫(
𝟑𝟎
)
𝟏𝟎𝟎
∴ 𝑵 = 𝟑𝟐
166
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AUGUST 2013
ENGINEERING SCIENCES AND ALLIED SUBJECTS
ESAS PRE-BOARD EXAM AUGUST 2013
1. A barrel will rupture when the gauge pressure within it reaches 350 kPa. It is
attached to the lower end of a vertical pipe, with the pipe and the barrel with oil (ρ =
890kg/cu.m.). How long can the pipe be if the barrel is not rupture?
A. 39.2m
B. 40.1m
C. 41.6m
D. 36.4m
Solution:
𝑷 = 𝜸𝑾(𝑺. 𝑮)
35 𝑘𝑃𝑎 = (9.81𝑥103 ) (
890
) (ℎ)
1000
∴ 𝒉 = 𝟒𝟎. 𝟏 𝒎
2. When a submarine dives to depth of 120m, to how large a total pressure is its
exterior surface subjected? The density of seawater is about 1.03 g/cu.cm.
A. 2.64MPa
B. 1.22MPa
C. 1.31Mpa
D. 1.62MPa
Solution:
1 𝑏𝑎𝑟 𝑖𝑠 𝑎𝑏𝑜𝑢𝑡 100 000 𝑃𝑎𝑠𝑐𝑎𝑙 𝑜𝑟 1𝑥105
𝑃 = 𝑃𝑏 + (𝑃𝑜)(𝑔)(ℎ)
1.03𝑥103 𝑔
𝑚
5
𝑃 = 1𝑥10 𝑃𝑎 + (
) (9.8 ) (120𝑚)
3
𝑐𝑚
𝑠
𝑷 = 𝟏. 𝟑𝟏𝑴𝒑𝒂
3. A vertical test tube has 2 cm of oil (ρ= 0.8 g/cu. cm.) floating on 8.0 cm of water.
What is the pressure at the bottom of the tube due to the fluid in it.
A. 0.94kPa
B. 0.69kPa
C 0.68kPa.
D. 0.78kPa
Solution:
𝑃1 = 𝑝𝑔ℎ
= (800 𝑘𝑔/𝑚)(9.81 𝑚/ 𝑠2)(2𝑥10 − 2)
𝑃1 = 156.96
𝑃2 = (9810 𝑚/𝑠2)(8𝑥10 − 2)
𝑃2 = 784.8
𝑃𝑇 = 𝑃1 + 𝑃2
= 156.96 + 784.8
𝑃𝑇 = 941.76 𝑃𝑎 𝑜𝑟 𝟎. 𝟗𝟒𝟏𝟕𝟔 𝒌𝑷𝒂
4. A side (2 in) of a square bar is loaded in tension by a force of 12 kips. Determine the
normal stress in ksl in the square bar.
A. 5.5
B.6
C. 2.6
D. 3
Solution:
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
A = (2)(2) = 4 in2
S=
=
12
4
𝑃
𝐴
∴𝑺=𝟑
5. What is the chemical formula of ammonia?
A. NH4
B. NH3
C. N2H3
6. What is the empirical formula for C2H6.
A.CH3
B. C2H
D. N3H2
C. CH2
.D.
7. Maximum Distance for support of rigid metallic conduits.
A. 2000mm
B. 2500mm
C. 3000mm
8. The minimum diameter of a steel ground electrode is.
A. 10mm
B. 12mm
C. 14mm
C3H2
D3500mm
D. 16mm
9. What is the maximum height an arrow can achieved when shot with initial velocity of
100m,/s.
A. 418.96m
B. 481.95m
C. 590.68m
D. 509.6m
Solution:
𝑉𝑓 – 𝑉𝑜 = −𝑔𝑡
0 − 100 = −9.81(𝑡)
𝑡 = 10.19
1
ℎ = 𝑉𝑜𝑡 − − 𝑔𝑡 2
ℎ = 100(10.19) −
∴ 𝒉 = 𝟓𝟎𝟗. 𝟔 𝒎
2
1
2
(9.81)(10.19)2
10. A ball struck by a bat fly in a perfect vertical direction after being hit by a battler.
A fan observes that it reaches its peak at a time t= 3s. Find its maximum height.
A. 43.195m
B. 44.145m
C. 52.286m
D. 58.264m
Solution:
𝑆 = 𝑉𝑂 𝑡 − 1⁄2 𝑔𝑡 2
@ 𝑝𝑒𝑎𝑘
𝑉𝑓 2 = 𝑉𝑂 2 ± 2𝑔𝑠
𝑉𝑂 = √2𝑔𝑠
1
𝑆 = √2𝑔𝑠(3) − 𝑔(3)2
2
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1
𝑆 = √2(9.81)(𝑠)(3) − (9.81)(3)2
2
∴ 𝑺 = 𝟒𝟒. 𝟏𝟒𝟓
11. What is a substance that speeds up chemical reaction without itself undergoing a
chemical change?
A.Ingredients
B. Reactants
C.Solvent
D.Catalyst
12. If escaping ammonia gas can be smelled across a room in 5.00 minutes, how long
would it take to smell chlorine gas under identical conditions?
A.8.6min
B.9.3min
C.10.2min
D.11.4min
Solution:
𝑀𝑊2/𝑀𝑊1 = (𝑡2/𝑡1)
𝒕𝟐 = 𝟏𝟎. 𝟐𝒎𝒊𝒏
13. A spring with constant of 500 N/m stretched 100mm. How much force is exerted and
how much work. Is done?
A.50 N, 25 J
B.5 N, 2.5 J
C.5 N, 25 J
D.50 N, 2.5 J
Solution:
𝐹 = 𝑆𝑡𝑟𝑒𝑠𝑠 × ð´ð‘Ÿð‘’ð‘Ž
= (500𝑁/𝑚)(100 × 10^ − 3𝑚)
𝑭 = 𝟓𝟎𝑵
14. In EPIRA, what does OARC stands for?
A.Open Access and Retail Competitors
B.Open Access and Retail Competition
C.Open Access and Retailing Competitors
D.Open Access and Retailing Competition
15. A software that is commonly known as firmware.
A.OS
B.Cache memory
C.BIOS
D.IO
16. What is the minimum lighting load required by PEC for an office measuring 20m by
25m?
A.6000 VA
B.7000 VA
C.12000 VA
D.14000 VA
17. What is the risk is operating a restaurant?
169
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
B. neutral
A. safe
C. ambivalent
D. risky
18. What is the factor name for the formula (1+i)-n?
A.Uniform gradient future worth
C.Single payment present worth
B.Capital recovery
D.Single payment compound amount
19. At what point is the applied force minimal in opening a hinge door?
A.near the hinge
C.at the center
B.farthest the hinge
D.anywhere
20. What do you call negative gage pressure?
A. vacuum
B. negative gage
C. negative vacuum
D. pressure head
21. Common cause of failure of termination of cable.
A. Splicing
C.penciling of insulation
B.Clearances
D.none of these
22. What is the acid concentration of Nitric acid, HN03 with pH value of -0.55?
A.2.33 M
B.4.55 M
C.5.33 M
D.3.55 M
Solution:
𝑀𝑜𝑙𝑎𝑟𝑖𝑡𝑦 = 𝑎𝑐𝑖𝑑 𝐶𝑜𝑛𝑐𝑒𝑛𝑡𝑟𝑎𝑡𝑖𝑜𝑛
𝑆𝑖𝑛𝑐𝑒 𝐻𝑁𝑂3 𝑖𝑠 𝑎 𝑠𝑡𝑟𝑜𝑛𝑔 𝐴𝑐𝑖𝑑 (𝐻+) 𝑜𝑟 𝑚𝑜𝑙𝑎𝑟𝑖𝑡𝑦
𝐹𝑜𝑟𝑚𝑢𝑙𝑎: 𝑝𝐻 = −𝑙𝑜𝑔(𝐻+)
−0.55 = −𝑙𝑜𝑔(𝐻+)
𝑯+ = 𝟑. 𝟓𝟒𝟖𝟏𝟑𝑴 𝒐𝒓 𝟑. 𝟓𝟓𝑴
23. A projectile is fired at the top of a building at an angle of 20 degrees below the
horizontal. If the muzzle velocity of the projectile is 8 m/s, how high is the building if
the projectile reaches the ground after 3 s?
A.35.94m
B.48.89m
C.52.35m
D.23.62m
Solution:
𝑦 = 𝑉0 sin 𝜃 𝑡 − 1⁄2 𝑔𝑡 2
𝑦 = (8 sin 20)(3) − 1⁄2 (9.81)(3)2
𝒚 = 𝟑𝟓. 𝟗𝟒 𝒎
170
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
24. Two steel plates are joined by using four-10mm rivets. What is the minimum force
that can be applied at these plates without exceeding an allowable shearing stress
of 125 MPa?
A.9.82kN
B.39.27kN
C.78.54kN
D.92.63Kn
Solution:
𝜏=
𝑃
𝐴
125𝑥106 =
𝑃
𝜋 10 2
)
4 (
4 1000
; 𝑷 = 𝟑𝟗. 𝟐𝟕 𝑲𝑵
25. What power in kW is supplied to a 12.0-hp motor having an efficiency of 90.0
percent when it is delivering its full rated output?
A.10.72
B.10.27
C.9.95
D.9.59
Solution:
𝐹𝑜𝑟𝑚𝑢𝑙𝑎 = 𝑛% = 𝑃𝑜𝑢𝑡/𝑃𝑖𝑛 𝑥100
90 = 12𝑥746/𝑃𝑖𝑛 𝑥100
𝑃𝑖𝑛 = 𝟗𝟗𝟒𝟔. 𝟔𝟔𝟔 𝑾 𝒐𝒓 𝟗. 𝟗𝟓 𝑲𝑾
26. A certain water faucet has 7 gpm flow rate. How many minutes can it fill a cubic
meter drum?
A.43.8
B.46.2
C.32.2
D.37.7
Solution:
𝐶𝑜𝑛𝑣𝑒𝑟𝑠𝑖𝑜𝑛 1 𝑔𝑎𝑙 = 0.00379 𝑚3
(1 𝑚^3)/7𝑔𝑝𝑚 𝑥 (1 𝑔𝑎𝑙)/(0.00379 𝑚^3 ) = 𝟑𝟕. 𝟔𝟗𝟑𝟏𝟕𝟓 𝒎𝒊𝒏
27. What is the accumulated amount of P 500 after 6 months, with interest rate 3% per
month?
A.P 597.03
B.P 579.03
C.P 492.05
D.P 429.05
Solution:
𝐴 = (𝑅 + 1)𝑛 𝑥 𝑃
𝐴 = (0.03 + 1)6 𝑥 500 = 𝟓𝟗𝟕. 𝟎𝟑
28. Two equal forces act on a body. F1 being due north and F2 duel east. To have a
net force of zero, at what direction should F3 act?
A.SE
B.NE
C.SW
D.NW
171
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29. A newly hired electrical engineer is considering the purchase of a motor as his
service vehicle. Package 1: monthly installment of P1, 400.00 at 1% interest rate
effective monthly for 5years and Package 2: Lump sum payment of P68, 000.00
now. He chose package 2, for his option, is he forfeited or not bu how much?
A.P5, 062 loss B.P23, 417 loss
C.P23, 417 gain
D.P5, 062 gain
Solution:
𝑃𝑉 𝑜𝑓 𝐴𝑛𝑛𝑢𝑖𝑡𝑦 = 𝑃((1 − (1 + 𝑟)^(−𝑛))/𝑟)
𝑃𝑉 𝑜𝑓 𝐴𝑛𝑛𝑢𝑖𝑡𝑦 = 1,400((1 − (1 + 0.01)^(−60))/0.01)
= 62937.05377 – 68000
𝑷𝑽 𝒐𝒇 𝑨𝒏𝒏𝒖𝒊𝒕𝒚 = 𝟓𝟎𝟔𝟐. 𝟗𝟒 𝒍𝒐𝒔𝒔
30. A businessman owes $ 5, 000 cash via his credit card. He can repay this amount at
$100.00 per month paying an interest of 18% compounded monthly. How many
months will these payments be?
A.96
B.93
C.90
D.87
Solution:
𝑃𝑉 𝑜𝑓 𝐴𝑛𝑛𝑢𝑖𝑡𝑦 = 𝑃((1 − (1 + 𝑟)^(−𝑛))/𝑟)
5000 = 100 [(1 − (1 + 0.18/12 )^(−𝑛))/(0.18/12)]
𝒏 = 𝟗𝟑. 𝟏𝟏
31. A thin-walled spherical shell contains a liquid, if it undergoes a thermal coefficient of
linear expansion 𝛼 and subjected to a temperature change of ∆𝑇. What is the ration
of change in volume ∆𝑉 to the original volume V?
A. ∆𝑇/3𝛼
B. 3𝜶∆T
C. 3∆𝑇/𝛼
D. 3𝛼T/2
32. Two blocks of wood of 50mm wide and 20mm thick are glued together are shown in
the figure. Using the free body diagram concept, determine the shear load and from
it the shearing in the glued joint if P = 6000 N.
172
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
A. 3 MPa
B. 3.2 MPa
C. 2.0 MPa
D.2.8 MPa
Solution:
𝜎𝑠 =
𝐹
𝐴
=
6000
(50 𝑋 60)
= 𝟐 𝑴𝑷𝒂
33. Calculate the word done by a piston if the 2 cu. m. volume of air is tripled while the
temperature is maintained at 40 deg C. The initial pressure is 400kPa.
A. 879 kJ
B. 897 kJ
C. 766 kJ
D. 786 kJ
Solution:
𝑉
𝑊 = 𝑃1 𝑉1 𝑙𝑛 [𝑉2 ]
1
3𝑉
𝑊 = (400)(2) ln [ 𝑉 1 ]
1
𝑾 = 𝟖𝟕𝟗 𝒌𝑱
34. An automobile is traveling at 25 m/s. it takes 0.3 s to supply the brakes after which
the deceleration is 6.0 m/s^2. How far does the automobile travel in meters, before it
stops?
A. 40
B. 45
C. 50
D. 60
Solution:
𝑆𝑇 = 𝑆1 + 𝑆2
𝑆=
𝑉𝑓 2 −𝑉𝑜 2
2𝑎
252
𝑆𝑇 = (25)(0.3) +
(2)(6)
𝑺𝑻 = 𝟓𝟗. 𝟓𝟖 𝒎
35. The amount of lateral strain in a tension member can be calculated using
A. the bulk modulus
B. Poisson’s ratio C. the yield stress D. Hooke’s law
36. It is the price a buyer is willing to pay a willing seller for the stock.
A. Bond value B. Scrap value
C. Market value
D. Stock value
37. Your perfectly reliable friend, Marie, asks for a loan and promises to pay back $ 150
two years from now. If the minimum interest rate you will accept is 8%. What is the
minimum amount you will loan him?
A. $ 119
B. $ 126
C. $ 129
D. $ 139
Solution:
173
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
𝑃 = 𝐹(1 − 𝑖)−𝑛
𝑃 = 150 (1 − 0.07)−2
𝐏 = $ 𝟏𝟐𝟖. 𝟔 𝐨𝐫 $ 𝟏𝟐𝟗
38. Find the allowable load, in kN, on a 2-cm dia. 1-m long, steel rod if its elongation
cannot exceed 0.1 cm.
A. 35
B. 45
C. 55
D. 66
Solution:
𝛿=
𝑃𝐿
𝐴𝐸
1
𝑃(1)
=
100 𝜋 2 2
(
) (200𝑥109 )
4 100
𝑷 = 𝟔𝟑 𝒌𝑵 ≈ 𝟔𝟔𝒌𝑵
39. A cold tire has a volume of 0.03 cu. m. at -10 deg C and 180 kPa gage. If the
pressure and temperature increase to 210 kPa gage and 30 deg C, find the final
volume in cu. m.
A. 0.0304
B. 0.0308
C, 0.0312
D. 0.0316
Solution:
𝑃1 𝑉1
𝑇1
=
𝑃2 𝑉2
𝑇2
(180 + 101.325)(0.03) (210 + 101.325)(𝑉2 )
=
−10 + 273
30 + 273
𝟑
𝑽𝟐 = 𝟎. 𝟎𝟑𝟏𝟐 𝒎
40. The minimum size of a copper equipment grounding conductor required for
equipment connected to a 40 ampere circuit.
A. 5.5 sq. mm. B. 8.0 sq. mm.
C. 14 sq. mm.
D. 22 sq. mm.
41. A pressure of 500 kPa applied to 2 cu, m. of liquid results in a volume change of
0.004cu m. the bulk modulus in MPa, is.
A.2.5
B.25
C.250
D.2500
Solution:
174
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
𝐵=
Δ𝑡𝑒𝑚𝑝𝑒𝑟𝑎𝑡𝑢𝑟𝑒
𝑥 𝑣𝑜𝑙𝑢𝑚𝑒
Δ𝑣𝑜𝑙𝑢𝑚𝑒
𝐵=
500 𝑘𝑃𝑎
𝑥 2 m3
3
0.004 m
𝑩 = 𝟐𝟓𝟎 𝑴𝑷𝒂
42. A single grounding electrode is permitted when the resistance to ground does not
exceed.
A.5 ohms
B.10ohms
C.15ohms
D.25ohms
43. An object weighs 100 N in air and 25 N when submerged in water. Its specific gravity
is.
A.1.11
B.1.22
C.1.33
D.1.44
Solution:
100𝑁 − 25𝑁 = 75𝑁 𝑜𝑓 𝑤𝑎𝑡𝑒𝑟
𝑉=
7.65 𝑘𝑔
= 7.65 𝑥10−3
1000 kg/ m3
𝑆𝑔 =
1333.33
= 𝟏. 𝟑𝟑
1000 kg/ m3
44. A steel cube is subjected to a hydraulic pressure of 1.5 MPa. Because of this
pressure the volume decreases to give a dilatation of -10-5. The young’s modulus of
the material is 200 GPa. Determine the bulk modulus.
A.190GPa
B.200GPa
C.150GPa
D.160GPa
Solution:
1.5 𝑥106
−10−5 = 200(109 ) (1 − 2𝜇)
𝜇 = 0.278
200
𝜏
=
𝛽=
3(1 − 2𝜇) 3(1 − 2(0.278))
𝜷 = 𝟏𝟓𝟎 𝑮𝑷𝒂
45. the most important element that controls the physical properties of steel is
A. Silicon
B. Tungsten
C. Manganese
D. Carbon
46. A cantilever beam 10ft long is subjected to a uniformly distributed load of 1500 lb.
per ft. of length. The allowable working stress in either tension or compression is
175
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20,000 psi. If the cross-section is to be rectangular, determine the height if the height
is to be twice as great as the width.
A.4.62in
B.9.24in
C.4.06in
D.8.12in
Solution:
47. The work of polytrophic (n=1.21) compression of air (C2/C1=1.4) in a system with
moving boundary from P1=15 psia, V1=1.0 cu. ft. to P2150 psia, V2=0.15 cu. ft. is?
A.6862 ft-lb
B.1080 ft-lb
C.2700 ft-lb
D.5150 ft-lb
Solution:
𝑾=
𝑷𝟐 𝑽𝟐 −𝑷𝟏 𝑽𝟏
𝟏−𝒏
𝑊=
(150)(144)(0.15) − (15)(144)(1)
1 − 1.21
∴ 𝑾 = 𝟓𝟏𝟒𝟐. 𝟖𝟔 𝒇𝒕 − 𝒍𝒃
48. How much should you put into a 10% savings account in order to have P10, 000 in
five years?
A.P6, 210.00
B.P7, 000.00
C.P7, 209.00
D.P8, 200
Solution:
𝑖 = 10%, 𝑛 = 5 𝑦𝑟𝑠. , 𝐹 = 𝑃10000
10000 = 𝑋 (1 + .10)5
𝑋 = 𝑷𝟔, 𝟐𝟎𝟗. 𝟐𝟏𝟑𝟐𝟑𝟏 ≈ 𝑷𝟔, 𝟐𝟏𝟎. 𝟎𝟎
49. Gross profit, sales less cost of goods sold, as a percentage of sales is called:
A.ROI ratio
B. Profit margin C. gross margin
D. Price earnings
50. _____________is regarded as father of computers.
A. Pascal
B. John Napler
C. Charles Babbage D. Abacus
51. At what angle above the horizontal must the sun be in order that sunlight reflected
from the surface of a calm body of water shall be completely polarized?
A. 60 deg
B. 30 deg
C. 63 deg
D. 37 deg
Solution:
𝑡𝑎𝑛𝜃 =
𝑛2
𝑛1
176
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𝑛2 = 1.0
𝑛1 = 1.33
1.0
𝜃 = 𝐴𝑟𝑐𝑡𝑎𝑛
1.33
𝜃 = 36.93 deg 𝑜𝑟 𝟑𝟕 𝒅𝒆𝒈
52. In electrochemistry, oxidation is a loss of _____________.
A. ion
B. electron
C. proton
D. anode
53. How many moles of hydrogen atoms are present in 2,000 moles of ammonia?
A. 2
B. 3
C. 6
D.8
Solution:
2000 𝑥 3 = 𝟔𝒎𝒐𝒍𝒆𝒔
54. How long will it take to sink an open and empty vessel 4 m x 4 m x 2m high, with a
draft of 1.6 m, when 85 mm Ф dia, hole at it bottom is opened C= 0.75.
A. 135 sec
B. 268 sec
C. 311 sec
D. 220 sec
Solution:
𝐴𝑟𝑒𝑎 𝑜𝑓 𝑡𝑎𝑛𝑘 = 4𝑚 𝑥 4𝑚 = 16 𝑠𝑞. 𝑚
𝐴𝑟𝑒𝑎 𝑜𝑓 ℎ𝑜𝑙𝑒 =
𝜋
4
(.085)2 = 5.67𝑥10−3 𝑠𝑞. 𝑚
ℎ2 = 2𝑚, ℎ1 = 1𝑚
𝐶 = .75
𝑡=
𝑡=
2𝐴𝑡𝑎𝑛𝑘
𝐶𝐴ℎ𝑜𝑙𝑒(√2𝑔)
(√ℎ2 − √ℎ1)
2(16)
(.75)(5.67𝑥10−3 (√2(9.81)
(√2 − √1.6) = 𝟐𝟔𝟖 𝒔𝒆𝒄
55. If a disturbance is parallel to the direction of travel of a wave, the wave is classified
as
A. longitudinal B. electromagnetic C. transverse
D. torsional
56. If an amount invested five years ago has doubled, what is the annual interest rate?
A. 15%
B. 12%
C. 10%
D. 6%
Solution:
𝑃=𝑃
177
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𝐹 = 2𝑃
𝑛=5
𝐹 = 𝑃(1 + 𝑖)𝑛
2𝑃 = 𝑃(1 + 𝑖)5
𝑖 = 0.148 𝑜𝑟 . 𝟏𝟓
57. Write the correct formula for ammonium sulfate.
𝐴. 𝐴𝐼3 𝑆𝑂4
𝐵. 𝐴𝐼2 𝑆𝑂4
𝐶. 𝐴𝐼3 (𝑆𝑂4 ) 2
𝑫. 𝑨𝑰𝟐 (𝑺𝑶𝟒 ) 𝟑
58. A man paid 10% down payment of 200,000 for a house and lot and agreed to pay
the balance on monthly installments for 5 years at an interest rate of 15%
compounded monthly. What is the monthly installment in pesos?
A. 44,628.33
B. 42,281.87
C.43, 625.92
D.45, 325.62
Solution:
𝐵𝑎𝑙𝑎𝑛𝑐𝑒 = 200000𝑥9 = 1800000
𝐹 = 𝑃(1 + 𝑖)𝑛
𝐹 = 1800000 (1 +
𝑖
𝐹 = 𝐴[(1+𝑖)𝑛−1]
𝐹 = 1800000 [
.15 5𝑥12
12
)
.15
12
.15 5𝑥12
(1+ )
−1
12
= 3792926.42
] = 𝟒𝟐𝟖𝟐𝟏. 𝟖𝟕
59. Energy is added to a piston-cylinder arrangement, and the piston is withdrawn in
such a way that the quantity PV remains constant. The initial pressure and volume
are 200 kPa, calculate the work done by the gas on the piston.
A. 277 kJ
B. 288 kJ
C. 399 kJ
D. 322 kJ
Solution:
𝑃1 = 200 𝑘𝑃𝑎, 𝑃2 = 100 𝑘𝑃𝑎, 𝑉1 = 2 𝑐𝑢. 𝑚
𝑃
𝑊 = 𝑃1 𝑉1 𝑙𝑛 𝑃2
1
𝑊 = (200)(2)𝑙𝑛
200
100
= 277258 𝑃𝑎 𝑜𝑟 𝟐𝟕𝟕 𝒌𝑷𝒂
60. Calculate the volume occupied by 0.151 mol of 𝐶𝐼2 at 100 deg C and 73.7 kPa.
A. 3.56 L
B. 6.35 L
C. 4.28 L
D. 5.82 L
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Solution:
𝑃𝑉 = 𝑛𝑅𝑇
𝑉=
𝑉=
𝑛𝑅𝑇
𝑃
(.151)(8.21)(100+273)
73.7𝑥1000
𝑉 = 6.35−3 𝑐𝑢. 𝑚 𝑥
= 6.35−3 𝑐𝑢. 𝑚
1000𝐿
1 𝑐𝑢.𝑚
= 𝟔. 𝟑𝟓𝑳
61. A 500 N body initially at rest is acted upon for 9 seconds by a variable force F =100
(sq rt of t), and also by a variable resisting force F=30 – t during that time. What is its
velocity at the end of 9 seconds?
A. 22.68 m/sec B. 24.82 m/sec
C. 30.78 m/sec
D.36.76 m/sec
Solution:
𝐹1 = 100 √𝑡
𝑓2 = 30 – 𝑡
𝑉=
𝑉=
∴ 𝑽 = 𝟑𝟎. 𝟕𝟖 𝒎/𝒔𝒆𝒄
F−F2
w
g
1800−229.5
500
(9.8)
62. A refrigerator is rated at COP of 4. The refrigerated space that it cools requires a
peak cooling rate of 30,000 kJ/h. What size of electrical motor (rated in horsepower)
is required for the refrigerator?
A. 1.968 hp
B. 4.624 hp
C. 1.937 hp
D. 2.793 hp
Solution:
𝑃 = 30,000
𝑘𝐽
ℎ𝑟.
𝑃 = 8.333 𝑘𝑊
𝑃=
p
COP
=
×
8.333 kw
4
1ℎ𝑟
3600 𝑠𝑒𝑐
×
.746 hp
1kw
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𝑷 = 𝟐. 𝟕𝟑𝟗 𝑯𝒑
63. A simply supported wooden beam 4 m span is 100 mm wide by 200 mm deep. It
carries a load of 1.5 kN/m run over its entire spam. Taking E as 8 x 10^3 MPa, find
the central deflection of the beam.
B. 9.735 mm
A. 9.375 mm
C. 8.325 mm
D. 8.235 mm
Solution:
𝛿=
5WL⁴
384EI
𝐼=
Bhᵌ
𝐼=
12
(0.1)(0.2)ᵌ
12
I = 6.67×10 ‫־‬⁵
𝛿=
5(1.5×10ᵌ)(4)⁴
5
384(8×10⁹)(6.67×10‫) ־‬
𝜹 = 𝟗. 𝟑𝟕𝟓𝒎𝒎
64. A baseball is thrown with an initial velocity of 100 m/s at an angle of 30 degrees
above the horizontal. How far from the throwing point will the baseball attain its
original level?
A.878 m
B. 890 m
C. 884m
D. 862 m
Solution:
𝑅=
Vo²sin2θ
g
𝑹 = 𝟖𝟖𝟒 𝒎
=
100²sin(60)
9.8
65. A ladder 3.0 m long and weighing 200 N has its center of gravity 1.2 m from the
bottom. At its top end is a 50 N weight. Compute the work required to raise the
ladder from a horizontal position on the ground to a vertical position.
A. 0.24 kJ
B. 0.39 kJ
C. 0.15 kJ
D. 0.63 Kj
Solution:
∑𝑀 = 0
𝑊 = 200(1.2) + 50(3)
= 𝟎. 𝟑𝟗 𝑲𝑱
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66. The viscosity of fluid varies with
A. temperature
B. pressure
C. density
D. temperature and pressure
67. Water at 20 deg C will rise, in a clean 1-mm dla glass tube, a distance, in cm, of
A. 1
B.2
C. 3
D. 4
Solution:
ℎ=
4Ϭcosθ
ℎ=
Ϭ= 0.0736 @ 20 deg C
ρdg
4(.0736)cos(0)
1000(.001)(9.81)
𝒉 = 𝟑 𝒄𝒎
68. A wheel of mass 6.0 kg and radius of gyration 40 cm is rotating at 300 rpm. Find its
rotational KE.
A. 0.26 kJ
B. 0.62 kJ
C. 0.78 kJ
D. 0.47 kJ
Solution:
1
𝐾𝐸 = MV²
2
𝑉=
300(2л×40)
60
= 4л m/sec
𝐾𝐸 = ½(6)(4л)²
𝑲𝑬 = 𝟎. 𝟒𝟕 𝑲𝑱
69. Which of the following is NOT a vector quantity?
A. displacement
C. speed
B. acceleration
D. momentum
70. A car has wheels of radius 30 cm. It starts from rest and accelerates uniformly to a
speed of 15 m/s in a tire of 8.0 s. Find the number of rotations one wheel make in
this time.
A. 42 rev
B. 34 rev
C. 36 rev
D. 32 rev
Solution:
S
𝑛=C
S= ½(15)(8)
S= 60
181
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𝑛=
60
2л(0.3)
𝒏 = 𝟑𝟐 𝒓𝒆𝒗.
71. The viscosity of a fluid with specific gravity 1.3 is measured to be 0.0034 N-s/sq. m.
Its kinematic viscosity in (sq.m.)/s, is
A. 2.6 x 10^-6 B. 4.4 x 10^-6
C. 5.8 x 10^-6
D. 7.2 x 10^-6
Solution:
𝐾𝑉 =
𝐾𝑉 =
V
𝑆. 𝐺(1000)
0.0034
1.3(1000)
= 𝟐. 𝟔 × ðŸðŸŽâ€«Ö¾â€¬â¶ m²/sec
72. A copper bar, 70 mm diameter and 1.5 m long has to bear a shock of 40MPa. Find
the change in length. E=110 GPa.
A. 0.455 mm
B. 0.545 mm
C. 0.345 mm
D. 0.654 mm
Solution:
𝐹=
P
A
P = (40×10⁶)(л/4)(70×10‫־‬ᵌ)²
P = 49,000л
ẟ=
PL
AE
=
(49000л)(1.5)
л/4(76×10ᵌ)²(40×10⁹)
ẟ = 𝟎. 𝟓𝟒𝟓 𝒎𝒎
73. A rubber band has an unstretched length of 180 mm. If it is stretched around a pole
having a diameter of 60 mm, determine the average normal strain in the band.
A. 0.0427
B. 0.0236
C.0.0263
D.0.0472
Solution:
𝜀=
𝜀=
ẟL
𝐿
60л−180
180
𝜠 = 𝟎. 𝟎𝟒𝟕𝟐
74. A device used to keep moisture from passing through the system is called:
182
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A. trap
B. aerator
C. humidifier
D. dehydrator
75. A stone of mass 00 grams is wired in a horizontal circle at the end of a cord 100 cm
long. If the tension in the cord is 2.5 newtons, what is the speed of the stone?
A. 3 m/s
B. 4 m/s
C. 5 m/s
D. 6 m/s
Solution:
𝑉=
𝑉=
√𝐹𝑟
√𝑚
√(2.5)(1)
√0.1
𝑽 = 𝟓 𝒎/𝒔𝒆𝒄
76. The maintenance costs associated with a machine are $2,000 per year for the first
ten years, and $1,000 per year thereafter. The machine has an infinite life. If interest
is 10%, what is the present worth of the annual disbursements?
A. $16,145
B. $19,678
C. $21,200
D. $92,136
Solution:
F
𝑃 = (1 + 𝑖)‫־‬ⁿ +
i
A[1−(1+i)‫־‬ⁿ]
0.1(1+0.1)¹°
0.1
𝑃=
1000
+
i
2000[1−(1+0.1)‫־‬¹°]
𝑷 = $𝟏𝟔, 𝟏𝟒𝟓
77. A railway gun whose mass is 70,000 kg fires a 500-kg artillery shell at an angle of 45
degrees and with a muzzle velocity of 200 m/sec. Calculate the recoil velocity of the
gun.
A. -3 m/s
B. -4 m/s
C. -1 m/s
D. -2 m/s
Solution:
𝑉1 =
(500)(200)𝑐𝑜𝑠(45)
(500) + (70,000)
𝑉1= 1 m/sec
𝑉1 =
𝑚2𝑣2𝑐𝑜𝑠𝜃
m1 + m2
(direction to the left)
183
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
= −𝟏 𝒎/𝒔𝒆𝒄
78. A square steel bar 50 mm on a side and 1 m long is subject to an axial tensile force
of 250 kN. Determine the decrease in the lateral dimensions due to this load.
Consider E=200 GPa and µ= 0.3.
A. 5.7 x 10^-3 mm
B. 7.5 x 10^-3 mm
C. 6.5 x 10^-3 mm
D. 6.7 x 10^-3 mm
Solution:
ẟᵈ =
ẟᵈ =
PuD
AE
(250×10ᵌ)(0.3)(0.05)
(50×10‫־‬ᵌ)²(200×10⁹)
ẟᵈ = 𝟕. 𝟓 × ðŸðŸŽâ€«Ö¾â€¬áµŒ 𝒎𝒎
79. It is a process of mixing water with air either by spraying water or diffusing air
through it.
A. aeration
B. coagulation
C. infiltration
D. evaporation
80. A pipe 60 cm in length is connected at the end by a nozzle and the total energy
produce in the nozzle is 250 cm. Compute the velocity of the jet.
A. 90 m/s
B. 80 m/s
C. 60 m/s
D. 70 m/s
Solution:
𝐿 = 60 𝑐𝑚 𝑥
𝑁 = 250 𝑐𝑚 𝑥
𝑒𝑛𝑒𝑟𝑔𝑦 =
250 =
𝑉2
2𝑔
1𝑚
100 𝑐𝑚
1𝑚
= 0.6 𝑚
100 𝑐𝑚
= 2.5 𝑚
𝑉2
2(9.81)
∴ 𝑽𝟐 = 𝟕𝟎. 𝟔𝟑
𝒎
𝒔
81. A drill press is purchased for $10,000 and has an estimated life of twelve years. The
salvage value at the end of twelve years is estimated to be $1,300. Using general
straight-line depreciation, compute the book value of the drill press at the end of
eight years.
A. $ 1,200
B. $3,333
C. $3,475
D. $ 4, 200
Solution:
184
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
𝒅=
𝑑=
𝑪𝒐 − 𝑪𝒏
𝒏
10,000− 1300
12
𝑑 = 725
𝑫𝒎 = 𝒎𝒅
𝐷𝑚 = (8)(725)
𝐷𝑚 = 5800
𝐶𝑚 = 𝐶𝑂 − 𝐷𝑚
𝐶𝑚 = 10,000 − 5800
∴ 𝑪𝒎 = 𝟒𝟐𝟎𝟎
82. It is required to transmit 70 hp from a turbine by a solid circular shaft turning at 200
r/min. If the allowable shearing stress is 7,000 lb/sw in., determine the required shaft
diameter.
A. 3.13 in
B. 2.52 in
C. 1.12 in
D. 2.12 in
Solution:
𝐷=
𝑇=
2𝜋𝑁𝑇
33,000
70(33,000)
2𝜋(200)
= 1838.24
16𝑇
𝜋𝑑 3
16(1838.24)
7000 =
𝜋𝑑3
𝒅 = 𝟏. 𝟏𝟐 𝒊𝒏
𝑆=
83. What is the friction factor for fully developed flow in a circular pipe where Reynolds
number is 1000?
A. 0.08
B. 0.054
C. 0.8
D. 0.064
Solution:
𝒇=
64
𝑅𝑒
=
64
1,000
= 𝟎. 𝟎𝟔𝟒
84. A manufacturing firm wishes to give each 80 employees a holiday bonus. How mch
is needed to invest monthly for a year at 12% nominal interest rate compounded, so
that each employee will receive a P2, 000 bonus?
A. P 12,615.80 B. P 12, 516.80
C. P 12,611.80
D.P 12,510.80
Solution:
185
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
𝑖=
0.12
= 0.01
12
𝑛 = 12
𝐹 = 80(2000) = 160,000
𝐹=
𝐴[(1 + 𝑖)𝑛 − 1]
𝑖
160,000 =
𝐴[(1 + 0.01)12 − 1]
0.01
𝑨 = 𝟏𝟐, 𝟔𝟏𝟓. 𝟖𝟎
85. A tank contains of oil sp. Gr. = 0.80, gasoline and sp. Gr. = 0.90 and sea water sp.
Gr. =1.03. If the depths of the liquids are 0.5 m, 0.8 m, and 1 m for oil, gasoline and
sea water respectively. Find the pressure at a depth of 1.8 m.
A. 10.104 Kpa B. 16.04 kPa
C. 21.092 kPa
D. 24.089 kPa
Solution:
𝑷𝟐 = 𝑷𝟏 + 𝜺𝜸𝒉
𝑃2 = 0.80 (9.81)(0.5) + (0.90)(9.81)(0.8) + (1.03)(9.81)(0.5)
𝑷𝟐 = 𝟏𝟔. 𝟎𝟒 𝒌𝑷𝒂
86. An asset was purchased for P100, 000 and retired at the end of 15 years with a
salvage value of P 4,000. The annual operating cost was P 18,000. Determine the
capitalized cost of the asset based on an interest rate of 8%.
A. 369,195
B. P396,195
C. P468,285
D. P 486,285
Solution:
𝑪𝑪 = 𝑪𝟎 + 𝑨
𝐶𝐶 = 100,000 + (18,000 𝑥 15)
𝑪𝑪 = 𝟑𝟕𝟎, 𝟎𝟎𝟎 ≈ 𝟑𝟔𝟗, 𝟏𝟗𝟓
87. Car A has a mass of 1000 kg and a speed of 60 km/h and car B has a mass of 2,000
kg and a speed of 30 km/h. The kinetic energy of car A is
A. half that of car B
C. twice that of car B
B. equal to that of car B
D. four times of that car B
Solution:
𝐾𝐸 =
1
𝑚𝑣 2
2
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
1
(1000)(60)2 = 𝟏, 𝟖𝟎𝟎, 𝟎𝟎𝟎 𝐉
2
1
𝐶𝑎𝑟 𝐵 = (2000)(30)2 = 𝟗𝟎𝟎, 𝟎𝟎𝟎 𝐉
2
𝑨𝒏𝒔𝒘𝒆𝒓: 𝑻𝒉𝒆 𝒌𝒊𝒏𝒆𝒕𝒊𝒄 𝒆𝒏𝒆𝒓𝒈𝒚 𝒐𝒇 𝒄𝒂𝒓 𝑨 𝒊𝒔 𝒕𝒘𝒊𝒄𝒆𝒆 𝒕𝒉𝒂𝒕 𝒐𝒇 𝒄𝒂𝒓 𝑩
𝐶𝑎𝑟 𝐴 =
88. A temperature of 100 deg F is almost exactly
A. 38 deg C
B. 56 deg C
C. 122 deg C
D. 212 deg C
Solution:
5
𝑇𝑐 = (100 deg 𝐹 − 32) x = 𝟑𝟕. 𝟕𝟕𝟖 𝐝𝐞𝐠 𝑪
9
89. Battery acid is the is the common name for
A. formic acid B. hydrochloric acid
C. nitric acid D. sulfuric acid
90. Which of the following engines is normally the least efficient?
A. gasoline engine
C. gas turbine
B. diesel engine
D.Carnot engine
91. Electrical symbol represented by a broken line
A. Open wiring
B. Circuit homerun
C. Underground wiring
D. Emergency wiring
92. Which of the following is not a unit of power?
A. joule-second
C. newton-meter per second
B. watt
D. horsepower
93. Which of the following is not a unit of power?
A. joule-second
C. newton-meter per second
B. watt
D. horsepower
94. RA 7920, Rule 2 (d) defining?
A. CHED
B. Commission
C. Board of EE
D. TESDA
95. Neglecting the change of gravity with elevation, estimate the speed of a satellite
must have to orbit the earth at an elevation of 100 km. Earth’s radius =6,4oo km.
A. 4,000
B. 6,000
C. 8,000
D. 10,000
Solution:
𝑉 = √𝐹𝑑
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
𝑉 = √(9,810)(6400 + 100)
𝑽 = 𝟕𝟗𝟖𝟓. 𝟑𝟎 ≈ 𝟖, 𝟎𝟎𝟎
96. Which of the following sizes of fuse is NOT standard?
A. 60 A
B. 45 A.
C. 125A
D. 75A
97. The maximum allowable shear stress in a 10-cm diameter shaft is 140 mPa. What
maximum torque, in N-m, can be applied?
A. 27,500
B. 21,400
C. 19,300
D. 17,100
Solution:
𝑇=
𝑇=
฀(л𝐷ᵌ)
16
(140 × 10⁶)(л)(0.1)ᵌ
16
𝑻 = 𝟐𝟕, 𝟓𝟎𝟎 𝑵 − 𝒎
98. What is the temperature rating of THHN insulation?
A. 60 deg C
B. 90 deg C
C. 85 deg C
D. 75 deg C
99. Compute the maximum possible efficiency of a heat engine operating between
temperature limits of 100 deg C and 400 deg C.
A. 44.6%
B. 46.8%
C. 75%
D. 95%
Solution:
𝑒𝑓𝑓 =
𝑇𝐻−𝑇𝐿
𝑇𝐻
eff = 44.6 %
=
400−100
400+273
× 100%
100. In a car which is decelerating, a plumb line hanging from the roof maintains a
constant angle of 30 degrees with the vertical. What is the acceleration value?
A. 17.82 ft/sec^2
C. 55.43 ft/sec^2
B. 18.47 ft/sect^2
D. 54.32 ft/sec^2
Solution:
𝑎=
v²
𝑟
188
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REGISTERED ELECTRICAL ENGINEERS PRE-BOARD EXAMINATION
AUGUST 2013
ENGINEERING SCIENCES AND ALLIED SUBJECTS
𝒕𝑎𝑛 𝜃 =
v²
𝑔𝑟
a = gtanθ
a = 32.2 (tan 30)
a = 18.59 ft/sec²
189
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REGISTERED ELECTRICAL ENGINEERS PRE-BOARD EXAMINATION
MARCH 2013
ENGINEERING SCIENCES AND ALLIED SUBJECTS
ESAS PRE-BOARD EXAM MARCH 2013
1. The reservoir dam holds an 800-km2 lake behind it. Just behind the dam the lake is
12.0m deep. What is the water pressure of the base of the dam?
A. 29 kPa B. 118 KP
C. 89 KPa
D. 147 KPa
Solution:
𝑃 = (1000𝐾𝑔/𝑚3)(9.81𝑚/𝑠2)(12𝑚)
𝑃 = 117.7 𝑜𝑟 𝟏𝟏𝟖𝒌𝑷𝒂
2. A skier starts from rest and slides 9.0m down a slope in 3.0s in what time after
starting will the skier a speed of 24m/s? Assume that the acceleration is constant.
A. 12 s B. 1.1s
C. 10s
D. 9s
Solution:
𝐴=
2(9)
32
= 2𝑚/𝑠2
𝑡 =
24
2
= 𝟏𝟐𝒔𝒆𝒄.
3. A certain town receives its water directly from a water tower. If the top of the water in
tower is 26.0m above the tower faucet in the house. What should be the water
temperature of the faucet? (neglect the effects of the other water users).
A. 255 KPa
B. 265 KPa
C. 245 KPa
D. 295 KPa
Solution:
𝑃 = (1000) (9.81) (26)
∴ 𝑷 = 𝟐𝟓𝟓. 𝟎𝟔 𝒌𝑷𝒂
4. A type of annuity where the payments are made at the start of each period,
beginning from the first period.
A. Annuity due
B. Ordinary Annuity
C. Perpetuity
D. Deferred Annuity
5. Two masses m1 = 5kg and m2 = 10kg have velocities v1 = 2 m/sec in the x direction
and v2 = 4 m/sec in the y direction. They collide and stick together. What is their final
velocity after collision?
A. 2.560 m/sec
B. 2.850 m/sec
C. 2.750 m/sec
D. 3.825 m/sec
Solution:
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REGISTERED ELECTRICAL ENGINEERS PRE-BOARD EXAMINATION
MARCH 2013
ENGINEERING SCIENCES AND ALLIED SUBJECTS
6. If 4.88 g of a gas occupies 2.75L at 103kPa and 22 deg C, calculate the molar mass.
A.24.1 g/mol
B. 42.1 g/mol
C. 21.4 g/mol
D. 12.4 g/mol
Solution:
𝑃𝑉 = 𝑚
𝑅
𝑚𝑤
(101.325) (
𝑇
3.75
)=
1000
4.88
1000
(
8.3144
𝑚𝑤
) (22 + 273)
𝒎𝒘 = 𝟒𝟐. 𝟏
𝒈
𝒎𝒐𝒍
7. Oil flows through a 4.0m inside diameter pipe at an average speed of 2.5m/s. Find
the flow in cu. M of water per hour.
A. 2.1x10-3 cu. m/s
B. 4.1x10-3cu. m/s
C. 1.10x10-3cu m/s
D. 2.1x10-3 cu m/s
Solution:
𝑵𝒐𝒕𝒆: 𝑻𝒓𝒐𝒖𝒃𝒍𝒆𝒔𝒉𝒐𝒐𝒕 𝒑𝒓𝒐𝒃𝒍𝒆𝒎
8. Calculate the number of moles in 4L of a gas mixture at 25 deg C if the total
pressure is 0.995 atm.
A. 0.35mol
B. 0.163 mol
C. 0.153 mol
D. 0.135 mol
Solution:
𝑷𝑽 = 𝒏𝑹𝑻
(0.995)(4) = 𝑛(0.0821)(25 + 273)
∴ 𝒏 = 𝟎. 𝟏𝟔𝟑 𝒎𝒐𝒍
9. Compute the average speed of water in pipe having an inside diameter of 5.0 cm
and delivering 2.5 cu. M of water per hour.
A. 0.35 m/s
B 0.20 m/s
C. 0.40 m/s
D. 0.25 m/s
Solution:
𝑸 = 𝑨𝑽
𝑚3
(2 ℎ𝑟 ) (
1 ℎ𝑟
3600 𝑠𝑒𝑐
𝜋
)= (
5
4 100
2
𝑖𝑛) 𝑉
∴ 𝑽 = 𝟎. 𝟑𝟓 𝒎⁄𝒔
191
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REGISTERED ELECTRICAL ENGINEERS PRE-BOARD EXAMINATION
MARCH 2013
ENGINEERING SCIENCES AND ALLIED SUBJECTS
10. The product of force and the time during which it acts is knows as:
A. Momentum
B. impact
C. impulse
D. work
11. Formula of calcium chloride
A. CaCl2 B. Ca2Cl
C. CaCl
D. CaCl3
12. After how many years will an investment triple 10% per annum, net of deductions,
compounded quarterly?
A. 12.11 B. 11.12
C. 10.16
D. 9.20
Solution:
3 = (1+
10%
4
)4(𝑛) ; 𝑁 = 𝟏𝟏. 𝟏𝟐𝒚𝒓𝒔
13. What is the branch circuit demand for 12 KW range and 5 KW cooktop?
A. 8
B. 11
C. 10
D. 15
14. Compute the least acceleration with which a 45-kg woman can slide down a rope if
the rope can withstand a tension of only 300N.
A. 9.8 m/s2
B. 16.47 m/s2
C. 1.55 m/s2
D. 3.1m / s2
Solution:
441 – 300 = 141𝑁; 𝐴 =
141
= 𝟑. 𝟏 𝒎/𝒔𝟐
45
15. An elevator is pulled by cable at constant speed. The tension in the cable is equal to
A. The weight
B. twice the weight
C. thrice the weight
D. half the weight
16. P150,000 was invested at 5% compounded monthly, tax free for 10years and 3
months. How much was the capital plus earnings at the end of the period?
A. P250,152
C.P280,348
B. P240,196
D. P360,224
Solution:
𝐹 = 150𝑘 (1 +
5%
)2(10.25) = 𝟐𝟓𝟎, 𝟏𝟓𝟐. 𝟒𝟐𝟔
12
17. In a hydraulic press, the small cylinder has a diameter of 8cm, while the larger piston
of the diameter of 22cm, if the force of 600N is applied to the small piston, what is
the force on the larger piston neglecting friction?
A. 3.5KN B. 4.5 KN
C. 5.5 KN
D. 6.5 KN
192
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REGISTERED ELECTRICAL ENGINEERS PRE-BOARD EXAMINATION
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
Solution:
600𝑁/(𝜋/4 (80 ∗ 80) ) = ( 𝑋)/(𝜋/(4(22 ∗ 22)))𝑋
= 4537.5 𝑜𝑟 𝟒. 𝟓𝒌𝑵
18. A baseball is thrown with an initial velocity of 100m/s at the angle of 30 degrees
above the horizontal. How far from the throwing point will the baseball attain its
original level?
A. 788m B. 862m
C. 884m
D. 766m
Solution:
𝑡=
100𝑠𝑖𝑛30
= 10.2 𝑠𝑒𝑐𝑠
9.81
𝑥 = 100 𝑐𝑜𝑠30 10.25 = 𝟖𝟖𝟑. 𝟑
19. Branch circuit larger than ________ ampere shall supply only non-lighting outlet
load.
A. 20
B. 50
C. 15
D. 3
20. Calculate the concentration of a 500-ml solution containing 1.71 mol of solute.
A. 2. 29 M
B. 2.92 M
C. 4.32 M
D. 3.42 M
21. A 1 cu. M tank is filled with a gas at room temperature 20 deg C and a pressure of
100 kPa. How much in there if the gas is propane with R = 0.18855?
A. 1.809
B. 26.515
C. 1.942
D. 2062
Solution:
Using the Ideal Gas Law formula: 𝑃𝑉 = 𝑚𝑅𝑇 , then derived to form the equation:
𝑚=
𝑚=
𝑃𝑉
𝑅𝑇
(100) 𝑥 (1)
(0.18855) 𝑥 (20+273)
𝒎 = 𝟏. 𝟖𝟏𝟎 𝒈𝒓𝒂𝒎𝒔 (𝒏𝒆𝒂𝒓𝒆𝒔𝒕)
22. A carnot engine operates between reservoirs at 20 deg C and 200 deg C if 10KW of
power is produced, the rejected heat rate is nearest.
A. 26.3 kJ/s
B. 20.2 kJ/s
C. 16.3 kJ/s
D. 12 kJ/s
Solution:
193
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REGISTERED ELECTRICAL ENGINEERS PRE-BOARD EXAMINATION
MARCH 2013
ENGINEERING SCIENCES AND ALLIED SUBJECTS
𝑈𝑠𝑖𝑛𝑔 𝑡ℎ𝑒 𝐶𝑎𝑟𝑛𝑜𝑡 𝐸𝑓𝑓𝑖𝑐𝑖𝑒𝑛𝑐𝑦 𝑓𝑜𝑟𝑚𝑢𝑙𝑎: È  = (1 −
È  = (1 − 𝑇_𝐿/𝑇_𝐻 ) ∗ 100%
𝑇𝐿
) ∗ 100%
𝑇𝐻
𝑁𝑜𝑡𝑒: 𝑇 𝑚𝑢𝑠𝑡 𝑎𝑙𝑤𝑎𝑦𝑠 𝑒𝑥𝑝𝑟𝑒𝑠𝑠𝑒𝑑 𝑖𝑛 𝑎𝑏𝑠𝑜𝑙𝑢𝑡𝑒 𝑡𝑒𝑚𝑝𝑒𝑟𝑎𝑡𝑢𝑟𝑒 𝑠𝑐𝑎𝑙𝑒 (𝑅 𝑜𝑟 𝐾)
𝑇𝐿 = (20 ℃ + 273) = 293 𝐾
𝑇𝐻 = (200 ℃ + 273) = 473 𝐾
È  = (1 −
293
È  = 38.05 %
𝑄=
𝑊
È 
=
) ∗ 100%
473
10 𝑥 103
0.3805
𝑄𝐻 = 𝑄𝑇 − 𝑄𝐿
= 26,281.21 𝑊
𝑄𝐻 = 26,281.21 − 10,000
𝑸𝑯 = 𝟏𝟔, 𝟐𝟖𝟏. 𝟐𝟏 𝒐𝒓 𝟏𝟔. 𝟐𝟖 𝒌𝑾 𝒐𝒓
𝑁𝑜𝑡𝑒: 𝑃𝑜𝑤𝑒𝑟 (𝑃) =
𝑊𝑜𝑟𝑘 (𝑊) 𝑖𝑛 𝐽𝑜𝑢𝑙𝑒𝑠
𝑡𝑖𝑚𝑒 (𝑡) 𝑖𝑛 𝑠𝑒𝑐𝑜𝑛𝑑𝑠
𝒌𝑱
𝒔
(𝒏𝒆𝒂𝒓𝒆𝒔𝒕)
23. Oil with specific gravity of 0.80 is 0.91m deep in an open tank which in otherwise
fixed with water. If the tank is 3.05 m deep, what is the temperature in kPa, at the
bottom of the tank?
A. 21.80
B. 27.89
C. 28.10
D. 23.45
Solution:
𝜌𝐻2 𝑂 = 1000
𝑘𝑔
𝑚3
𝜌𝑜𝑖𝑙 = (𝑆. 𝐺𝑜𝑖𝑙 ) 𝑥 (𝜌𝐻2 𝑂 )
𝜌𝑜𝑖𝑙 = (0.80) 𝑥 (1000) = 800
𝑘𝑔
𝑚3
To get the pressure of H2O and oil use the formula: 𝑃 = 𝜌𝑔ℎ
𝑃𝐻2 𝑂 = (1000) 𝑥 (9.81) 𝑥 (2.14) = 20,993.4 𝑃𝑎
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𝑃𝑜𝑖𝑙 = (800) 𝑥 (9.81) 𝑥 (0.91) = 7,141.68 𝑃𝑎
To get the pressure of the bottom, use the formula: 𝑃𝑏𝑜𝑡𝑡𝑜𝑚 = 𝑃𝐻2 𝑂 + 𝑃𝑜𝑖𝑙
𝑃𝑏𝑜𝑡𝑡𝑜𝑚 = 20,993.4 𝑃𝑎 + 7,141.68 𝑃𝑎
𝑷𝒃𝒐𝒕𝒕𝒐𝒎 = 𝟐𝟖. 𝟏𝟒 ≈ 𝟐𝟖. 𝟏𝟎 𝐤𝐏𝐚
24. A man expects to receive P20,000 in 10 years. If the interest is computed at 6%
compounded quarterly, how much is it worth today?
A. P11,025.25
B. P11,035.25
C. P11,045.25
D. P11,055.25
Solution:
𝑟 −𝑚𝑛
Using the formula: 𝑃 = 𝐹 (1 + )
𝑃 = 20,000 (1 +
0.06 −(4𝑥10)
4
)
𝑚
∴ 𝑷 = 𝑷𝟏𝟏, 𝟎𝟐𝟓. 𝟐𝟓
25. How many grams are represented in 2.50 mol of H2O?
A. 45
B. 21.7
C. 43.9
D. 32.7
Solution:
First, get the MW or the molecular weight, multiply the atomic weight each
element to their subscript then get the sum. Using the periodic table, the atomic
of H is 1 and O is 16
𝐻2 = 2 𝑥 1 = 2
𝑂 = 1 𝑥 16 = 16
𝑀𝑊 = 18 𝑔𝑟𝑎𝑚/𝑚𝑜𝑙𝑒
Using the formula: 𝑚 = 𝑛 𝑥 𝑀𝑊
𝑚 = (2.50) 𝑥 (18)
𝒎 = 𝟒𝟓 𝒈𝒓𝒂𝒎𝒔
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REGISTERED ELECTRICAL ENGINEERS PRE-BOARD EXAMINATION
MARCH 2013
ENGINEERING SCIENCES AND ALLIED SUBJECTS
26. The standard atmospheric pressure in meters of atmospheric is (ρ = 600 kg/ cu. M)
is.
A. 19m
B. 31m
C. 23m
D. 17m
Solution:
𝜌𝐻𝑔
𝑎𝑡𝑚𝑁𝐻3 𝑖𝑛 𝑚𝑒𝑡𝑒𝑟𝑠 = 𝑎𝑡𝑚𝐻𝑔 𝑥 (𝜌
𝑁𝑜𝑡𝑒: 𝜌𝐻𝑔 = 13,600
𝑘𝑔
𝑚3
𝑁𝐻3
)
, 𝑎𝑡𝑚𝐻𝑔 = 0.760 𝑚 𝐻𝑔
𝑎𝑡𝑚𝑁𝐻3 𝑖𝑛 𝑚𝑒𝑡𝑒𝑟𝑠 = 0.760 𝑥 (
13,600
600
)
𝒂𝒕𝒎𝑵𝑯𝟑 𝒊𝒏 𝒎𝒆𝒕𝒆𝒓𝒔 = 𝟏𝟕. 𝟐𝟐 ≈ 𝟏𝟕 𝒎
27. A side (2 in) of a square bar is loaded in tension by a force of 12kips. Determine the
normal stress in ksi in the square bar.
A. 5.5
B. 6
C. 2.6
D. 3
Solution:
Using the stress formula: 𝜎 =
𝜎=
12,000
𝐹
𝐴
4
𝝈 = 𝟑 𝒌𝒔𝒊
28. What is the accumulated amount of five-year annuity paying P6,000 at the end of
each year, with interest rate at 15% compounded annually?
A. P 40,519.21
B. P40,681.29
C. P40,545.29
D. 40,329.10
Solution:
Using the formula: 𝐹 = 𝐴 [
𝐹 = 6000 [
(1+0.15)5 −1
0.15
∴ 𝑭 = 𝑷𝟒𝟎, 𝟒𝟓𝟒. 𝟐𝟗
]
(1+𝑖)𝑛 −1
𝑖
]
29. Calculate the strain of for a chance in length = 0.038 cm and a length of 1.90m.
A. 0.000217
B. 0.00020
C. 0.020526
D. 0.000211
Solution:
196
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𝑈𝑠𝑖𝑛𝑔 𝑡ℎ𝑒 𝑠𝑡𝑟𝑎𝑖𝑛 𝑓𝑜𝑟𝑚𝑢𝑙𝑎: ∈ =
∈=
𝛿
𝐿
𝐶𝑜𝑛𝑣𝑒𝑟𝑡 0.038 𝑐𝑚 𝑡𝑜 𝑚 = 0.00038 𝑚
0.00038
1.90
∴∈ = 𝟐𝒙𝟏𝟎𝟒 𝒐𝒓 𝟎. 𝟎𝟎𝟎𝟐𝟎
30. A 1.0 slug mass has a kinetic energy of 1.0 ft-lb when its speed is
A. 0.25 ft/s
B. 1.0 ft/s
C. 1.4 ft/s
D. 6 ft/s
Solution:
𝑈𝑠𝑖𝑛𝑔 𝑡ℎ𝑒 𝑓𝑜𝑟𝑚𝑢𝑙𝑎: 𝐾𝐸 =
2𝑥1
𝑣= √
1
∴ 𝒗 = 𝟏. 𝟒
1
2𝐾𝐸
𝑚𝑣 2 𝑡ℎ𝑒𝑛 𝑑𝑒𝑟𝑖𝑣𝑒 𝑡𝑜 𝑓𝑜𝑟𝑚 𝑡ℎ𝑒 𝑒𝑞𝑢𝑎𝑡𝑖𝑜𝑛: 𝑣 = √
2
𝑚
𝒇𝒕
𝒔
31. How much pressure is needed to raise water to the top of the building which is 1250
ft high?
A. 562 lb/sq. in
B. 426 lb/sq. in
C. 542 lb/sq. in
D. 462 lb/sq. in
Solution:
𝑃 = (1000)(9.81)(381) = 3.74𝑀𝑃𝑎 𝑡𝑜
𝑙𝑏
𝒍𝒃
= 𝟓𝟒𝟐 𝟐
2
𝑚
𝒊𝒏
32. The following forces act on an object 10 N to the north 20 N to the southeast and 5
N to the west. The magnitude of their resultant is.
A. 5 N
B. 10 N
C. 13 N
D. 23 N
Solution:
𝐹 = |10∠90 + 20 ∠ − 45 + 90 ∠135|
𝑭 = 𝟏𝟎. 𝟔𝟐 𝑵
33. If 200 cc. of a gas weighs 0.266 g at S.T.P. what is its molecular weight?
A. 10
B. 20
C. 30
D. 40
197
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Solution:
(22.4𝐿 ) (
𝑆𝑇𝑃 = 22.4𝐿
1
) (0.268) = 𝟑𝟎. 𝟑𝟏𝟔
0.20
34. A machine costing P1,800,000 has a life of 8 years. Using straight line method, the
total depreciation at the end of 4th yr. is P800,000. Determine the salvage value of
the machine/
A. P150,000
B. P250,000
C. P300,000
D. P200,000
Solution:
800𝐾 =
4 ∗ 1.8𝑀 − 𝐶𝑛
8
∴ 𝐶𝑛 = 𝟐𝟎𝟎, 𝟎𝟎𝟎
35. The density of zinc is 455 lb/ cu. Ft. find the mass in grams of 9.00 cc of zinc.
A. 65.6
B. 56.5
C. 46.5
D. 85.6
Solution:
𝑋
7288.4 =
𝑃 = 465
0.009
𝑙𝑏
𝑘𝑔
= 7288.4 2 ; 𝑉 = 9𝐶𝐶 𝑡𝑜 0.009 𝐾𝑔
3
𝑓𝑡
𝑚
; 𝑋 = 𝟔𝟓. 𝟔
36. Energy is added to 5kg air with paddle wheel so that ∆T = 100 deg C while P =
constant in an insulated container. The paddle wheel work is
A. 500 kJ
B. 423 kJ
C. 400 kJ
D. 363 Kj
Solution:
𝑊=
𝑊=
𝑚𝑅 ∆𝑇
1−𝐾
5(0.2867)(100)
37. Prefix 105 is
A. Pico
1−1.4
B. atto
𝑾 = 𝟑𝟓𝟖 𝑲𝑱
C. peta
D. Fernto
198
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38. If the density of the gas is 0.003 slugs per cubic foot, what is the specific weight of
the gas?
A. 9.04 N/cu. M
B. 15.2 N/cu .m
C. 76.3 N/cu. M
D. 96.2 N/ cu. M
Solution:
= (0.008) (
14.59
1
𝑵
)(
)2 = 𝟏𝟓. 𝟐 𝟑
1
0.304
𝒎
39. Which of the following refer to the diffusion of a solvent into a stronger solution in an
attempt to equalize the two concentrations?
A. Purification
B. electrolysis
C. osmosis
D. hydrolysis
40. If a 1/3 horsepower pump runs for 20 minutes, what is the energy used?
A. 0.06 ergs
B. 0.25 KW
C. 0.30 MJ
D. 0.11 KW-hr
Solution:
1
( 𝐻𝑝)(746W) = 249W
3
249KW (1200) = 0.3MJ
41. What is the pressure of 4.87 grams’ hydrogen from that occupy 6.6 liters at 12 deg
C?
A. 8.65 atm
B. 9.64 atm
C. 8.31 atm
D. 9.84 atm
Solution:
𝑃=
𝑃=
𝑚𝑅𝑇
𝑉
8.3144
)(12+273)
2
6.6
1000
(4.87 𝑥10−3 )(
𝑃 = 842. 01 𝐾𝑃𝑎 (
1 𝑎𝑡𝑚
101.325 𝐾𝑃𝑎
)
𝑷 = 𝟖. 𝟑𝟏 𝒂𝒕𝒎
42. What is the frequency of oscillation of a body if its mass m is 0.015 kg and k is 0.5
N/m?
A. 0.51 Hz
B. 0.66 Hz
C. 0.78 Hz
D 0.92 Hz
199
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Solution:
𝑊 = √
0.5
= 5.77𝑟𝑎𝑑/𝑠
0.015
5.77
= 𝟎. 𝟗𝟏𝟖
2𝑝𝑖
43. A measure of how it emits radiant energy in comparison with a blackbody at the
same temperature.
A. Absorptivity
B. reflectivity
C. emissivity
D. conductivity
∴𝐹 =
44. A solid wooden cube 30.0 cm on each edge can be totally submerged in water if it is
pushed downward with a force of 54 N. What is the density of the wood
A.900 kg/cu. M
B. 800 kg/cu.
C. 700 kg/cu. M
D. 600 kg/cu.
Solution:
𝑊 + 𝑇 − 𝐹𝑏 = 0
𝑊 + 𝑇 = 𝐹𝑏
𝑤 = 𝑚𝑔 ; 𝐹𝑏 = 𝛾𝑉𝑑
𝑚(9,81) + 54 = 9.81𝑥103 (3)3
𝑚 = 21.495 𝑘𝑔
𝜌 = 𝑚⁄𝑣
𝝆=
21.495 𝑘𝑔
⁄(0.3)3 = 𝟕𝟗𝟔. 𝟏𝟑
𝒌𝒈
𝒎𝟑
≈ 𝟖𝟎𝟎
𝒌𝒈
𝒎𝟑
45. Find the magnitude of the resultant of two 10-lb forces applied at the same point
when the angle between them is 130 degrees.
A. 7.8 lbs.
B. 18.1 lbs.
C. 19.5 lbs.
D. 8.5lbs
Solution:
10 < 130 + 10 < 0 = 3.57 + 𝑗7.66 = 𝟖. 𝟒𝟓 < 𝟔𝟓
46. The shaft of a motor turns at a constant 3000 rpm, in 40s it turns through
A. 2,000 rad
B. 6,283 rad
C. 12,000 rad
D. 12,566 rad
200
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Solution:
𝑅𝐴𝐷 = 𝑅𝑃𝑆 (𝑡𝑖𝑚𝑒)(2𝜋)
𝑅𝐴𝐷 = (
3000
60
) (40)(2𝜋)
𝑹𝑨𝑫 = 𝟏𝟐𝟓𝟔𝟔 𝒓𝒂𝒅
47. A lbm at 200 deg F iron (C =0.1 BTU /lbm – def F) are dropped into a gallon of 40
deg F of water. What is the final temperature of the mixture?
A. 55.21 deg F
B. 48.12 deg F
C. 38.92 deg F
D. 43.74 deg F
Solution:
−𝑄𝐿𝑂𝑆𝑇 = 𝑄𝐺𝐴𝐼𝑁𝐸𝐷
(2)(0.1)(𝑡2 − 200) = (3.785)(2.205)(40 − 𝑡2 )
𝒕𝟐 = 𝟒𝟑. 𝟕𝟒℃
48. A rubber band has an un stretched length of 180mm. if it is stretched around a pole
having a diameter of 60 mm, determine the average normal strain in the band.
A. 0.0427
B. 0.0236
C. 0.0253
D. 0.47
Solution:
𝜀=
Δ𝑙
L
Δ𝑙 = 𝐿𝑠𝑡𝑟𝑒𝑡𝑐ℎ − 𝐿𝑢𝑛𝑠𝑡𝑟𝑒𝑡𝑐ℎ
Δ𝑙 = 𝜋𝐷 − 𝐿
Δ𝑙 = 𝜋(60) − 180 = 8.5 𝑚𝑚
𝜺=
8.5 mm
= 𝟎. 𝟒𝟕
180 mm
49. In a certain process 500 cal. Of heat are supplied to a system and at the same time
100 joules of work are done. What is the increases in the internal energy of the
system?
A. 546.8 cal
B. 476.1 cal
C. 427.6 cal
D. 523.9 cal
Solution:
∆𝑈 = 𝑄 + 𝑊
∆𝑈 = 500 +
100
4.186
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∆𝑼 = 𝟓𝟐𝟑. 𝟗 𝒄𝒂𝒍
50. Convert 10110111 (base 2) to the base 10 equivalent
A.42.25
B. 45.75
C. 48.68
D. 52.35
51. An employee obtained a load of P10,000 at a rate of 6% compounded annually in
order to build a house. How much must he pay monthly to amortize the loan within a
period of 10 years?
A. P120.42
B. P110.22
C. P105.75
D. P115.64
Solution:
𝑃
=𝐴
1 − (1 + 𝑖)−𝑛
[
]
𝑖
𝑃
10000
𝐴 = 1−(1+𝑖)−𝑛 =
0.06 −(12)(10) =
1−(1+
)
[
𝑖
]
[
12
0.06
12
𝑨 = ₱ 110.02 = 𝐁.
]
52. Convert the base 10 integer 432 to its base 16 equivalent.
A. 1B0
B. 1FC
C. 2A3
D. 1420
Solution:
432 ÷ 16 = 27 𝑟 0
27 ÷ 16 = 1 𝑟 𝐵
1 ÷ 16 = 0 𝑟 1
43210
1B016
53. Convert 110 deg. F to deg. C.
A. 43.33 B. 42.22
C. 40.23
D. 46.32
Solution:
𝐶 =
5
9
(110 − 32)
∴ 𝑪 = 𝟒𝟑. 𝟑𝟑
54. At the end of each of the next ten years, a payment of $200 is due. At an interest
rate of 6%, what is the present worth of the payments?
A. $27
B. $200
C. $1472
D.$2000
202
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Solution:
1 − (1 + 0.06)−10
) ; 𝑷 = 𝟏𝟒𝟕𝟐
0.06
55. What is the most nearly the resulting pressure when 400 g of air at 103.6 kPa ad 93
deg. C is heated at constant volume to 427 deg. C?
A. 918 kPa
B. 198 kPa
C. 819 kPa
D. 189 kPa
𝑃 = 200(
Solution:
𝑃2 =
(103600)(700)
𝑷𝟐 = 𝟏𝟗𝟖. 𝟏𝟒𝟐𝟏 𝒌𝑷𝒂
(386)
56. What is the speed of light through a water whose index of refraction is 1.33?
A. 1.8 x 10^8 m/s
B. 2.26 x 10^8 m/s
C. 2.51 x 10^8 m/s
D. 2.79 x 10^8 m/s
Solution:
300000000
1.33
∴ 𝒗 = 𝟐. 𝟐𝟔 𝒙 𝟏𝟎𝟖 𝒎/𝒔
𝑣 =
57. A square steel bar 50mm on a side and 1m long is subject to an axial tensile force of
250 Kn. Determine the decrease in the lateral dimension due to this load. Consider
E = 200 GPa and µ = 0.3.
A. 0.0057 mm
B. 0.0075 mm
C. 0.0065 mm
D.0.0067 mm
Solution:
𝛿=(
(250𝑥103 )(1000)
)(0.3); 𝜹 = 𝟎. 𝟎𝟎𝟕𝟓
50
9
(
)(200𝑥10 )
1000
58. Determine the maximum shearing stress in a 4-in-diameter solid shaft carrying a
torque of 228, 000 lb-in.
A. 18,000 lb/sq. in
B. 17,000 lb/sq. in C. 16,000 lb/sq. in D.19,000 lb/sq. in
Solution:
203
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𝑆𝑠 =
16(228,000)
; 𝑺𝒔 = 𝟏𝟖, 𝟏𝟒𝟑. 𝟔𝟔𝟑𝟓𝟏
𝜋(4)3
59. A square steel bar is 50 mm on a side and 250 mm long. It is loaded by an axial
tensile force of 200 Kn. If E = 200 GPa and µ = 0.3, determine the change of volume
per unit volume.
A. 0.0016
B. 0.000016
C. 0.00016
D. 0.016
Solution:
∆𝑉
200000
=
(1 − 2 (0.3))
𝑉
(0.0025)(200𝑥109 )
𝚫𝑽
= 𝟎. 𝟎𝟎𝟎𝟏𝟔
∴
𝐕
\
60. Calculate the mass of nitrogen at 150 K and 2 MPa contained to 0.2 cu. M.
A. 10.2 kg
B. 8.98 kg
C. 6.23 kg
D. 2.13 kg
Solution:
m=
(2000000)(0.2 𝑚3 )
(
8.314
)(150)
28
;
m = 𝟏𝟎. 𝟐 𝒌𝒈 = A.
61. A solid circular shaft is required to transmit 200 kW while turning at 1.5 rev/s. The
allowable shearing stress is 42 MPa. Find the required shaft diameter.
A. 148 mm
B. 138 mm
C. 126 mm
D. 156 mm
Solution:
𝑟𝑒𝑣
𝑠
) (60 ))
𝑠
𝑚
200 =
; 𝑇 = 21220.65908
60
16(21220.65908)
𝐷3 =
; 𝑫 = 𝟏𝟑𝟖
𝜋(42𝑥106 )
62. What is the temperature rating of a TW insulated conductor?
A.60 deg. C
B. 75 deg. C
C. 90 deg. C
D. 100 deg. C
2𝜋𝑇((1.5
63. Find the maximum shearing stress, in MPa, of a simply supported 6 m long beam
with a 5 x 5 cm cross section if it has 2000 N load at the midpoint.
204
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B. 0.9
A.0.6
C. 1.2
D. 1.6
Solution:
𝑆𝑠 =
1000
; 𝑺𝒔 = 𝟎. 𝟔
(50)(50)
64. A graphical device used to convert a truth table to its corresponding logic circuit in a
simple, orderly process.
A. State Table
B. State Diagram
C. Karnaugh Map
D. Truth Table
65. The members of the board shall hold the office for a term of ___ years from the date
of appointment or until their successors shall have been appointed and qualified.
A. 4
B. 6
C. 3
D. 5
66. Air having an initial pressure Pi = 14 psia, temperature Ti = 80 deg. F, and volume Vi
= 29 cu. Ft. is compressed isentropically in a nonflow process to a final pressure Pf
= 120 psia. The final temperature in deg. F, is nearest to
A. 815
B. 540
C. 370
D.200
Solution:
T2=(80+460)(
120 1.4−1
14
)
1.4
− 460; T2=53.65 ≈540
67. Calculate the increase in volume per unit volume of a thin-walled steel circular
cylinder closed at both ends and subjected to a uniform internal pressure of 0.5
MPa. The wall thickness is 1.5 mm, the radius 350 mm and µ = 1/3. Consider E =
200 GPa.
A. 10^-4 B. 10^-5
C. 10^-6
D. 10^-3
Solution:
Δ𝑉
V
Δ𝑉
V
=
𝑃
𝐴𝐸
(1 − 2𝜇)
600𝑥106
1
= (200)(9) (1 − 2 ( ))
3
𝚫𝑽
= 𝟏𝟎−𝟑
𝐕
205
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68. A parachutist relies on air resistance (mainly on her parachute) to decrease her
downward velocity. If she and her parachute have a mass of 55.0 kg, and air
resistance exerts a force of 620 N upward, what is her acceleration?
A. 3.68 m/s^2
B. 0.79 m/s^2
C. 2.58 m/s^2
D. 1.47 m/s^2
Solution:
𝐹 = 𝑚𝑎
620 = (55)𝑎
𝑎 = 11.27
𝑎 𝑇 = 𝑎 − 𝑎𝑔
𝑎 𝑇 = 11.27 − 9.81
𝒎
𝒂𝑻 = 𝟏. 𝟒𝟔 𝟐
𝒔
69. Define WESM?
A. Wholesale Electrical Spot Market
B. Wholesale Electrical Supply Market
C. Wholesale Electricity Spot Market
D. Wholesale Electricity Supply Market
70. The section modulus in cu. m., about the central axis of a 10 cm by 25 cm beam on
edge is closest to
A. 721
B. 984
C. 1080
D. 1042
Solution:
(25)(103 )
=
; = 1041.66
24
71. All the powers of the TRANSCO shall be vested in and exercised by a Board of
Directors. Who will be the ex officio Chairman of the Board?
A. Sec. of the Dept. of Energy (DOE)
B. Sec. of the Dept. of Finance (DOF)
C. Secretary of DENR
D. President of TRANSCO
72. At least how many receptacle outlets shall be installed in the bathroom?
A. One
B. Two
C. Three
D. Four
206
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73. Two blocks if masses m1 = 2 kg and m2 = 4 kg on ta frictionless horizontal surface
are in contact with each other. A force F = 6 N is applied to block (mass m1). How
large a force does m1 exert on m2.?
A. 2N
B. 3N
C. 4N
D.6N
Solution:
𝐹 = 𝑚𝑎
6 = (2 + 4)𝑎 ; 𝑎 = 1
𝐹2 = 𝑚2 𝑎
𝐹2 = 4(1)
𝑚
𝑠
𝑭𝟐 = 𝟒 𝑵
74. A man loans P187,400 from the bank with interest at 5% compounded annually. He
agrees to pay his obligations by paying 8 equal annual payments, the first being due
at the end of 10 years. Find the annual payments.
A. P43,600.10
B. P43,489.47
C. P44,263.91
D. P44,980.56
Solution:
𝑃=𝐴 [
(1+𝑖)𝑛 −1
(1+𝑖)𝑛 𝑖
] [1 + 𝑖]𝑛+1
(1+0.05)8 −1
187, 400 = 𝐴 [(1+0.05)8 (0.05)] [1 + (0.05)]−10+1
𝑨 = 𝑷𝟒𝟒, 𝟗𝟖𝟎. 𝟓𝟔
75. When an object exerts force on another object, the second object exerts on the first
a force of the same magnitude but in opposite direction. This statement is in
accordance to
A. Newton’s First Law of Motions
B. Newton’s First Second of Motions
C. Newton’s Third Law of Motions
D. All of these
76. A barrel weighing 250 lb is suspended by a rope 30 ft long. What horizontal force is
a necessary to hold the barrel sideways 5 hr from the vertical?
A. 92.46 lb
B. 94.62 lb
C. 24.62
D. 42.26 lb
Solution:
77. What is the moment of inertia with respect to the axis of rotation of a thin circular
disk of a turntable used by a DJ if the mass of the disk is 70 grams and its radius is
1.5 in?
A. 4.73x10^-6 kg-m^2
C.10.16x10^-5 kg-m^2
207
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B. 9.45x10^-5 kg-m^2
D. 5.06x10^-5 kg-m^2
Solution:
1𝑘𝑔
1𝑓𝑡
1𝑚 2
)(1.15𝑖𝑛𝑥
𝑥
)
1000𝑔
12𝑖𝑛 3.28𝑓𝑡
1.0166𝑥10−4
=
= 𝟓. 𝟎𝟖𝟑𝒙𝟏𝟎−𝟓
2
= (70𝑔𝑥
78. If Php 100,000 is invested at 12% interest, compounded monthly, the first year
interest is nearest to
A. Php 12,000
B. Php 12,350
C. Php 12,700
D. Php 12,850
Solution:
0.12 12
) ; 𝐹 = 112682.508
12
𝐼 = 𝐹 − 𝑃 = 112,682.503 – 100,000 = 𝟏𝟐, 𝟔𝟖𝟐. 𝟓𝟎𝟑
𝐹 = 100,000(1 +
79. Determine the modulus of residence (kJ/cu.m) for malleable cast from iron. E = 165
GPa, normal stress = 230 MPa.
A. 160.7
B. 170.6
C. 280.5
D. 250.8
80. A particle traveling on a curve path has a velocity of 36m/s and a normal
acceleration of 18m/s^2 at a certain point. The radius of curvature of the path at the
point is.
A. 56 m
B. 59 m
C.63 m
D.72 m
Solution:
𝐶𝐹 = 36(18) = 648
648 =
36(36)2
; 𝑹 = 𝟕𝟐
𝑅
81. In 1906 an original painting of Picasso has a market price of $ 600.00 and in1995 its
price has increased to $ 29,000,000.00. What is the rate of interest of the painting?
A. 10.9%
B. 12.9%
C. 9.9%
D.11.9%
Solution:
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600 =
29,000,000
1995−1906 ; 𝐼 = 𝟏𝟐. 𝟗%
(1+𝑖)
82. The Moody diagram is used in fluid mechanics to obtain
A. The drag coefficient
C.the friction factor
B. The Stroudal number
D.the pressure coefficient
83. A surveyor’s steel tape 30 m long has a cross-section of 6mm by 1mm. Determine
the elongation when the entire tape is stretched and held taut by a force of 50 N.
The modulus of elasticity is 200 GFs.
A. 2.50 mm
B. 0.75 mm
C. 1.75 mm
D. 1.25 mm
Solution:
𝛿 =
84. A height of 5 ft 8 in is equivalent to
A. 173 cm
B. 177 cm
50(30)
; 𝛿 = 𝟏. 𝟐𝟓𝒎𝒎
6(200)
C. 207 cm
D. 223 cm
Solution:
5.66𝑓𝑡 𝑥 (
12𝑖𝑛 2.54𝑐𝑚
)(
) = 𝟏𝟕𝟐. 𝟕 𝒄𝒎
1𝑓𝑡
1𝑖𝑛
85. A wave has a frequency of 2.9 Hz and a velocity of 3.0 m/s. The distance covered by
the wave in 5.0 s is
A. 30 m
B. 15 m
C. 7.5 m
D. 6.0 m
Solution:
𝑑 = (3.0𝑚/𝑠)(5.0𝑠)
∴ 𝒅 = 𝟏𝟓𝒎
86. A car that travels at 40 kph for 2.0 hours at 50 kph for 1.0 hour, and at 20 kph for
0.05 hour, has an average speed of
A. 31 kph B. 40 kph
C. 45 kph
D. 55 kph
Solution:
𝐴𝑠 =
40 + 50 + 20
; 𝑨𝒔 = 𝟑𝟔. 𝟔𝟕 ≈ 𝟒𝟎𝒌𝒑𝒉
3
87. The coils of D. C. motor starter are wound with wire of
A. Copper
B. manganin
C. kanthal
D. Nicrome
88. How much external work is done by an ideal gas expanding from a volume of 3.0
liters to a volume of 30.0 liters against a constant pressure of 2.0 atrn?
209
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A. -10.5 kJ
B. +10.5 kJ
C. -5.5 kJ
D. +5.5 kJ
Solution:
𝑃𝑑𝑣 = 101.325(2)(
30 − 3
)𝑷𝒅𝒗 = 𝟓. 𝟒𝟕𝒌𝑱
1000
89. Gasoline has a specific gravity of 0.68. One liter of gasoline weighs
A. 0.68 N
B. 1.4 N
C. 6.7 N
D.8.6N
Solution:
𝑆𝑝𝑒𝑐𝑖𝑓𝑖𝑐 𝐺𝑟𝑎𝑣𝑖𝑡𝑦 = (𝑆𝐺 𝑒𝑎𝑟𝑡ℎ 𝑥 𝑆𝐺 𝑔𝑎𝑠𝑜𝑙𝑖𝑛𝑒)
𝑆𝑔 = 9.81(0.68)
∴ 𝑺𝒈 = 𝟔. 𝟔𝟕𝑵
90. The chemical shorthand for molybednum is
A. Mo
B. Mb
C. Md
D. Mn
91. Which two metals combine to give galvanized metal?
A. Lead and tin
B. zinc and iron
C. tin and iron
D. zinc and tin
92. A mass of oxygen occupies 0.0200 cu.m. at atmospheric pressure, 101 kPa and 5.0
deg C. Determine its volume if its pressure n increased to 108 kPa while its
temperature is change to 30.0 deg C.
A. 0.023 cu.m.
C.0.0204cu.m
B. 0.23 cu.m.
.
D. 0.204 cu.m.
Solution:
(101(0.0200))/(5 + 273) = (108(𝑉_(2)))/(30 + 273) ; 𝑽𝟐 = 𝟎. 𝟎𝟐𝟎𝟒
93. At 10% per year interest rate, $ 500 now is equivalent to how much three years
hence?
A. $ 556.50
B. $ 628.50
C. $ 685.50
D. $ 682.50
Solution:
𝐹 = 500(1 + 0.10)3
∴ 𝑭 = 𝟔𝟖𝟓. 𝟓
94. The pressure of a gas is directly proportional to the Kelvin temperature in
A. Boyle’s law
B. Gay-Lussac’s law
C. Boyd’s law
D. Charles’ Law
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95. A projectile with a mass 0.01 kg has a muzzle velocity of 1,000 m/s when fired from
a riffle weighing 5 kg. The recoil velocity of the rifle is
A. 0.1 m/s
C.5m/s
B. 2 m/s
D. 50 m/s
Solution:
𝑚1 𝑉1 = 𝑚2 𝑉2
(0.01)(1000) = (5)(𝑉2 )
𝑽𝟐 = 𝟐 𝒎⁄ 𝟐
𝒔
96. A spaceship orbits the Moon at a height of 20,000 m. assuming it to be subject only
to the gravitational pull of the Moon, find the time it takes for one orbit. For the Moon,
m = 7.34 x 10^22 kg and r = 1.738 x 10^6 m.
A. 95 min
C.210min
B. 85 min
D. 110 min
Solution:
97. An iron plate 2 cm thick has a cross of 5,000 sq. cm. One face is at 150 deg. C and
the other is at 140 deg. C. How much heat passes through the plate each second?
For iron, kt = 80 W/m-K.
A. 20 kJ/s
B. 16 kJ/s
C. 27 kJ/s
D. 36 kJ/s
Solution:
𝑄=
𝑄=
𝐾𝐴∆𝑇
𝑋
80[
5000
][150−40]
1002
2
( )
100
𝑸 = 𝟐𝟎
𝑲𝑱
𝒔
98. The only force acting on a 5.0 kg object has components F = 20 N and Ft = 30 N.
Find the magnitude of the acceleration of the object.
A. 4.0 m/s^2
B.6.0 m/s^2
C. 7.2 m/s^2
D. 10.5 m/s^2
Solution:
𝐹 = 𝑚𝑎
𝐹 = |20 + 30∠90|
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𝐹 = 36.06
36.06 = (5)(𝑎)
𝒎
𝒂 = 𝟕. 𝟐 𝟐
𝒔
99. If the pressure in a tank of oil (spr. gr. = 0.80) is 400 kPa, what is the equivalent
head in meters of water.
A. 50. 97
B. 40.77
C. 59.70
D. 47.70
Solution:
=
400
; = 𝟒𝟎. 𝟕𝟕
9.81
100. A piston allows air to expand from 6 MPs to 200 kPa. The initial volume and
temperature are 500 cu.m. and 800 deg C. If the temperature is held constant,
calculate the heat transfer.
A. 10.20 kJ
B. 12. 60 kJ
C. 9.62 kJ
D. 8.46 Kj
Solution:
200
)
6
𝑸 = 𝟏𝟎. 𝟓𝟏𝟗𝟔𝒌𝑱 ≈ 𝟏𝟎. 𝟐𝟎𝒌𝑱
𝑄 = 6(300)𝑙𝑛(
∴
212
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ESAS PRE-BOARD EXAM AUGUST 2012
1. In how many years will the investment to double in value at 5% simple interest rate?
A. 2
B. 4
C. 20
D. 40
Solution:
2P=P(1+0.05n)
n=20 years
P=P; F=2P
F=P(1+in)
2. A machine cost $75,000 after 1 year. If the rate of interest is 18% compounded
annually, what is its price now?
A. $63,955.23
C. $65,933.23
B. $63,559.32
D. $65,339.32
Solution:
F=75,000
i=0.18 or 18%
n=1(annually)
-1
-n
P=F(1+i) = 75,000(1+0.18) =$ 63,669.32
3. A soccer player kicks the rock horizontally off a cliff 40m high. Then hears the splash
of water 3s after. Find the initial velocity of the rock. Assume the speed of sound =
343m/s
A. 17.89 m/s
B. 9.91 m/s
C. 9.30 m/s
D. 10.56 m/s
Solution:
trock+tsound = 3sec.
Y=40m
For trock:
1
y= gt2
2
2(40)
2y
tr =√
=√
= 2.86 sec
9.81
g
ts =3-2.86=0.144 sec
dsound =(343)(0.14)=48.02 m
x=√48.022 -402 =26.56m
x=Vo cosθtr
26.56
= 9.29 m/s
Vo =
2.86
A man on the moon pushes a 10-kg box using a 100 N-force. What is the acceleration
of the box? Assume amoon= 1.67 m/s^2. Ignore
A. 15 m/s^2
B. 20 m/s^2
C. 40 m/s^2
D. 10 m/s^⁶
Solution:
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𝑚
F = 100N
m =10kg
amoon= 1.67 2
𝑠
F=ma
F
100
𝒎
a=
=
= 10 𝟐
m
10
𝒔
5. The external pressure applied to a confined fluid increases the pressure of every
point in the fluid by an amount equal to the external pressure. This is known as
A. Pascal's principle
C. Torricelli's Theorem
B. Archimedes principle
D. Bernoulli's Theorem
Explanation:
Pascal’s principle, also called Pascal’s law, in fluid (gas or liquid)
mechanics, statement that, in a fluid at rest in a closed container,
a pressure change in one part is transmitted without loss to every portion of the
fluid and to the walls of the container. The principle was first enunciated by the
French scientist Blaise Pascal.
Archimedes' principle states that the upward buoyant force that is exerted
on a body immersed in a fluid, whether fully or partially submerged, is equal to
the weight of the fluid that the body displaces and acts in the upward direction at
the center of mass of the displaced fluid.
Torricelli's law, also known as Torricelli's theorem, is a theorem in fluid
dynamics relating the speed of fluid flowing out of an orifice to the height of fluid
above the opening.
Bernoulli, the theorem states, in effect, that the total mechanical
energy of the flowing fluid, comprising the energy associated with fluid pressure,
the gravitational potential energy of elevation, and the kinetic energy of fluid
motion, remains constant.
6. A year ago, Dennis invests $900 then a year after he gets an annual return of
$1100. What is the interest rate?
A. 11.11%
B. 22.22%
C. 10.55%
D. 12.22%
Solution:
P=$900
Annual return = $1,100
F=P
1
900(1+i) = 1,100(1+i)-1
i = 0.1055×100
i = 10.55%
7. Maximum distances between busway supports.
A. 1000 mm
B. 1500 mm
C. 1800 mm
D. 2000 mm
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8. Calculate the molarity of a solution after 1.70 L of 2.06 M solution is diluted to 2.50 L.
A. 1.40 M
B. 2.08 M
C. 0.883 M
D. 3.42 M
Solution:
𝑚𝑜𝑙𝑒𝑠 𝑜𝑓 𝑠𝑜𝑙𝑢𝑡𝑒
Molarity =
𝑙𝑖𝑡𝑒𝑟𝑠 𝑜𝑓 𝑠𝑜𝑙𝑢𝑡𝑖𝑜𝑛
x
; x= 3.502 L/mol
2.06=
1.70
3.502
M=
= 1.4M
2.50
9. Which of the following holds true for any given material?
A. 1/3 ≥ G/E ≥ 1/2
C. 1/3> G/E ≥ 1/2
B. 1/2 > G/E > 1/3
D. 1/2 ≥ G/E ≥ 1/3
10. A reservoir dam holds an 8.00-km^2 lake behind it. Just behind the dam, the lake is
12.0m deep. What is the water pressure at a point 3.0m down the from the lake’s
surface?
A. 27
B. 29
C. 25
D. 24
Solution:
P = γh
P = ρgh =(1)(9.81)(3) = 29.4 ≈ 29kPa
11. What is the tensile load if a ½” x 4” x 12’ steel the rod experiences an 80 deg F
temperature decrease from the no stress temperature?
A. 9,850 lb.
B. 15,600 lb.
C. 31,200 lb.
D. 62,400 lb.
Solution:
δ=αL(∆t)
PL
δ=
AE
Equate the two formulas
PL
αL(∆t)=
AE
(∆t)αAE= P
6.5×10-6
lb
∆t = (80°F); α= (
) ; 𝐴 = (.5in)(4in); 𝐸 = (30×106 2 )
°F
in
(80°F) (
lb
6.5×10-6
) (.5in)(4in) (30×106 2 ) = P
°F
in
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P=31200 lb
12. What charge has the elements belong to the group 2?
A. 2
B. 1
C. -2
D. -1
Explanation:
Group I (alkali metals) carry a +1 charge,
Group II (alkaline earths) carry a +2,
Group VII (halogens) carry -1, and
Group VIII (noble gases) carry a 0 charge. Metal ions
may have other charges or oxidation states
13. What does UPS mean?
A. Uninterrupting Portable Supply
B. Uninterruptable Power Supply
C. Uninterrupting Power Supply
D. Uninterruptable Portable Supply
14. An electric motor lifts a 10-kg mass 100 m in 10s. The power developed by the
motor is
A. 9.8 W
B. 98 W
C. 980 W
D. 9,800 W
Solution:
m=10kg
w = mg = (10)( 9.8 ) = 98N
power =
𝑤𝑜𝑟𝑘
𝑡𝑖𝑚𝑒
(10)(9.81)(100)
Power =
= 980W
10
15. Which device could be used to determine whether a substance is radioactive?
A. a Van de Graaff generator
C. a cyclotron
B. a Geiger counter
D. a linear accelerator
Explanation:
A Geiger counter is an instrument used for detecting and measuring
ionizing radiation. Also known as a Geiger–Mueller counter, it is widely used in
applications such as radiation dosimetry, radiological protection, experimental
physics, and the nuclear industry.
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A linear particle accelerator is a type of particle accelerator that
accelerates charged subatomic particles or ions to a high speed by subjecting
them to a series of oscillating electric potentials along a linear beamline.
A Cyclotron is an apparatus in which charged atomic and subatomic
particles are accelerated by an alternating electric field while following an
outward spiral or circular path in a magnetic field.
A Van de Graaff generator is an electrostatic generator which uses a
moving belt to accumulate electric charge on a hollow metal globe on the top of
an insulated column, creating very high electric potentials.
16. For a 20-amp receptacle connected to 20-amp branch circuit supplying two or more
outlets, the total cord-and-plug may not exceed which of the following sizes:
A. 20 amps
C. 30 amps
B. 15 amps
D. none of these
17. What is the pH value of a solution with acetic acid concentration of 3.0 x 10^-6 M?
A. 12.72
B. 14.28
C. 5.523
D. 3.472
Solution:
pH = - log(M)
pH = - log(3×10-6 ) = 5.523
18. What is the mass number of an atom with 9 protons, 11 neutrons, and 9 electrons?
A. 9
B. 18
C. 20
D. 29
Solution:
Mass number = number of electron + number of neutrons
mass number = 9 + 11 = 20
19. Which is not a standard overcurrent protection device rating?
A. 50
B. 1500
C. 225
D. 110
20. It is responsible for the procurement and administration of funds with the view of
achieving the objectives of business.
A. Capital
B. Budget
C. Finance
D. Funds
21. An impulse of 30 N∙s is applied to a 5-kg mass. If the mass had a speed of 100
m/sec before the impulse, its speed after the impulse could be
A. 250 m/s
B. 106 m/s
C. 6.00 m/s
D. 0 m/s
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Solution:
P=30 N∙s
m=5kg
Vo=100 m/sec
P= mv = m(Vf – Vo)
30 = (5)(Vf - 100)
Vf = 106 m/s
22. The sun is directly overhead of the eagle. The eagle dives at 50 m/s at an angle of
30 degrees below the horizontal. What is the velocity of the shadow?
A. 43.3 m/s
B. 34.3 m/s
C. 25.o m/s
D. 52.0 m/s
Solution:
𝑚
Vo = 50
θ=30°
𝑠
Vox = Vo cosθ
Vox = (50) cos(30)
𝒎
Vox = 43.3
𝒔
23. A device used to measure atmospheric pressure is called
A. Manometer
C. Pycnometer
B. Barometer
D. Hydrometer
Explanation:
A barometer is a scientific instrument used to measure air pressure.
Pressure tendency can forecast short term changes in the weather.
A Manometer is a device to measure pressures.
A gas pycnometer is a laboratory device used for measuring the density—
or, more accurately, the volume—of solids, be they regularly shaped, porous or
non-porous, monolithic, powdered, granular or in some way comminuted,
employing some method of gas displacement and the volume: pressure
relationship known as Boyle's Law.
A hydrometer is an instrument used for measuring the relative density of
liquids based on the concept of buoyancy
24. A bar of uniform cross section is subject to uniaxial tension and develops a strain in
the direction of the force of 1/800. Calculate the change of volume per unit volume.
Assume μ = 1/3
A. 1/2400 (inc)
C. 1/1200 (inc)
B. 1/2400 (dec)
D.1/1200 (dec)
Solution:
∆V
P
1
=
=
V
AE 800
1
1
∆V
=
[1-2 ( )]
800
3
V
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∆V
1
=
(increased)
V
2400
25. When a submarine dives a depth of 120 m, to how large a total pressure is its
exterior surface subjected? The density of seawater is 1.03 g/cc.
A. 1.41 MPa
B. 1.21 MPa
C. 1.31 MPa
D. 1.11 MPa
Solution:
h=120m
density of seawater = 1.03 g/cc.
1.03g 1 kg (100cm)3
kg
=
×
×
=
1,030
(1m)3
cm3 1000g
m3
where:P=ρgh
PT =Patm +P
PT =101.325×103 Pa+(1030)(9.81)(120)
PT =1.31MPa
26. Air enters a turbine at 5 kg/s at a velocity of 20 m/s at a temperature of 200 K and
exits at a velocity of 500 m/s. What is the power (kW) due to change in kinetic
energy?
A. 624
B. 426
C. 836
D. 368
Solution:
V0=500m/s
Vf=20m/s
m= 5kg/s
t=200K
W = ∆KE
1
1
W = mv2 = m(vf 2 -vo 2 )
2
2
1
2
2
W = (5)(500 -20 )
2
W = 624,000W = 624Kw
27. What is RES stands for in EPIRA?
A. Retail Energy Supply
C. Retail Electricity Supply
B. Retail Energy Suppliers
D. Retail Electricity Suppliers
28. A 80-kg rectangular box open at the top, has base dimensions 1.0 m by 0.8 m and
depth 0.50 m. How deep will it sink in fresh water?
A. 0.025 m
B.0.050m
C. 0.075m
D. 0.095 m
Solution:
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ρgh = ρgh
(150)(9.81)(0.5) = (1000)(9.81)(h)
h= 0.075m
V= (1)(0.8)(0.5) = 0.4m3
60 kg
150kg
m
=
=
ρ=
v
0.4m3
m3
P = Pwater
29. Find the angle of banking for a highway curve of 90 m radius designed to
accommodate cars traveling at 160kph, if the coefficient of friction between the tires
and the road is 0.60
A. 34.9 deg
B. 44.6 deg
C. 20.3 deg
D. 47.2 deg
Solution:
r=90m
V=160kph
friction= 0.60
∅=
tan (0.60) = 30.96°
km 1000 m
1 hr
m
v = 160
×
×
= 44.44
hr
1 km
3600 s
s
-1
tan(θ+∅) =
v2
gr
44.442
tan(θ+30.96) =
(9.81)(90)
θ = 34.95°
30. Which is not a unit of power?
A. joules/second
C. watts
B. newton-seconds
D. calories/second
31. The density of nitrogen is 1.25 kg/cu. m at ST.P. Determine the density of nitrogen at
42 deg C and 730 mm of mercury
A. 1.09 kg/cu. m.
C. 1.04 kg/cu. m.
B. 1.90 kg/cu. m.
D. 1.40 kg/cu. m.
Solution:
PV = mRT
P = ρRT
ρ=1.25 kg/cu. m R=296.86
ρRT = ρRT + P
t=42+273=315
P= 730 mm of mercury
730mmHg
(1.25)(296.86)(273) = [P(296.86)(42+273) + 101.325 + (
) (101.325)]
760mmHg
P = |-1.041kg/m3 | = 1.041kg/m3
32. A turbine started from rest to 180 rpm in 6 min at a constant acceleration. Find the
number of revolutions that it makes within the elapse time
A. 550
B. 540
C. 630
D. 500
Solution:
220
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ωf -ωo
180 30 rev
=
=
t
60
min2
1
θ = gt2
2
1
rev
θ = (30 2 ) (6min)2 = 540rev
2
m
∝=
33. 200 grams of aluminum block at 400 deg C is dropped into a 1 kg aluminum
calorimeter containing 100 grams of water at 5 deg C. What is the final temperature
of the mixture, in deg C? Cal= 0.22 kcal/kg-deg C.
A. 25.7
B. 52.7
C. 64.8
D. 46.8
Solution:
m1=200 grams of aluminum block @ t=400 degC
m2=1 kg aluminum calorimeter
Cal= 0.22 kcal/kg-deg C.
m3=100 grams of water @ t= 5 deg C
Qgain = -Qloss
(0.2)(0.22)(T-400) = -[(0.1)(1)(T-5)=(1)(0.22)(T-5)]
T = 52.74℃
34. An 8 unit long pendulum subtends an angle of 34 degrees. What is the height
difference from its stationary position?
A. 1.37
B. 1.73
C. 1.26
D. 1.62
Solution:
Cosθ=
l-h
l
8-h
)
8
h=1.367 ≈ 1.37 unit
cos(34) = (
35. Which wave requires a medium for transmission?
A. light
B. infrared
C. radio
D. sound
36. Calculate the mass of the oxygen that reacts with 1.24 g of methane (natural gas) to
form 3.41 g of carbon dioxide and 2.79 g of water.
A. 4.96 g
B. 4.65 g
C. 7.44 g
D. 1.86 g
Solution:
221
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Moxygen = (Mcarbon +MH2 O ) – (Mmethane )
Moxygen = (34.1+2.79) - (1.24)
Moxygen = 4.96g
37. A substance formed by the union of two or more chemical elements in a definite
proportion that can be only be separated by chemical means
A. mixture
C. ion
B. molecules
D. compound
38. An object 6 cm high is placed 12 cm away from a concave mirror whose focal length
is 36 cm. What is the height of the image?
A. 3cm
B. 4cm
C. 9cm
D. 8cm
Solution:
1 1 1
+ =
p q f
1 1 1
- - =
p q
f
1
1 -1
() =q
36 12
q = - 9cm or q = 9cm
39. Calculate the molality of solution containing 0.500 mol of solute in 250 g of solvent.
A. 1.50 m
B.2.00 m
C. 1.75 m
D. 2.25 m
Solution:
M=
mole of solute
=
(kg)(mass of solvent)
M=2 m
0.50
1 kg
250g ×
1000g
40. A beam of rectangular cross-section is to be cut from a circular log of diameter D.
What should be the ratio of the depth of the beam to its width for maximum strength
in pure banding?
A. sqrt. of 2
C. sqrt. of 3
B. (sqrt. of 2)/2
D. (sqrt. of 3)/3
Solution:
222
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D=w√3 ;w=
2
d2 = D2
3
2
2
2
d2 =
(w√3) = w2 (3)
3
3
d
d2 = 2w2 = = √2
w
D
√3
d2 =D2 - w2
2
D
2
2
d =D - ( )
√3
41. The viscosity of a fluid varies with
A. temperature
B. pressure
C. density
D. temperature and pressure
42. A 8.00-L sample of gas at 99.0 kPa and 25 deg C is compressed. What is its final
pressure at 25 deg C if the gas is compressed 2.00 L?
A. 396 kPa
B. 132 kPa
C. 264 kPa
D. 528 kPa
Solution:
P1=99KPa
V1=8L
V1=6L
PVT Relations (isothermal) ; T=C
P1 V1 = P2 V2
(99KPa)(8)=(P2 )(6)
P2 =132 kPa
43. What is the strong bond between hydrogen atoms known as?
A. the iconic bond
C. ionic and metallic bonds
B. the metallic bond
D. the covalent bond
44. Determine the moment of inertia of a circle of a diameter 5 in about a diameter.
A. 30.7 in^4
B. 61.4 in^4
C. 15.35 in^4
D. 46.02 in^4
Solution:
INA
4
πd4 π (5)
=
= 30.7 in4
=
64
64
45. Convert (11011) base 2 to base 8
A. 31
B. 27
C. 33
D.29
Solution:
(110 | 011)
(3 | 3)
=338
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46. Calculate the pressure of oxygen in a mixture at 105.9 kPa containing 0.400 mol of
oxygen and 0.200 mol of nitrogen.
A. 176.5 kPa
B. 141.2 kPa
C. 35.2 kPa
D. 70.6 kPa
Solution:
Nsol
0.4
=
= 0.667
Ntotal 0.4+0.2
Po = xs ×P=(0.667)(105.9kPa) = 70.6kPa
Xsolution =
47. (11100) base 2 = ( ______ ) base 16
A. 2E
B. 2A
D. 1B
C. 1C
Solution:
(0001 | 1100)
(1 | 12=C)
=1C16
48. If a twisting moment of 10,000 lb.-in is impressed 1-¾ in diameter shaft, what is the
maximum shearing stress developed?
A. 8,500 psi
B. 9,200 psi
C. 9,500 psi
D. 8,900 psi
Solution:
Sb =
32max
π(D)3
49. The path of a projectile is:
A. a parabola
B. an ellipse
=
32 (10, 000 lb-in)
π (2.205 in)3
= 9,500 psi
C. a part of a circle
D. a hyperbola
50. What is the pump power needed to increase the pressure by 600 kPa in a 8-cm-dia
pipe transporting0.04 cu. m/s?
A·32kW
B. 24 kW
C. 18 kW
D. 43 kW
Solution:
Power = (v)(P)
Power = (0.04)(600,000)
P = 24,000 W or 24kW
51. A heat pump delivers 20,000 kJ/hr of heat with a 1.39 kW input. Calculate the COP.
A. 3
B. 4
C. 5
D. 6
Solution:
224
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COP =
Q
P×t
; Q=20,000 kJ/hr; Hp=1.39 kW; t=3600s
20,000
COP =
1.39 ×103 ×3,600
COP = 3.9968 ≈ 4
52. During an isentropic process, which of the following is true?
A. The temperature increases as the pressure decreases.
B. The temperature increases as the volume increases.
C. The heal transfer equals the enthalpy change.
D. The heat transfer is zero
53. Which one of the following elements has the largest atomic radius?
A. lithium
C. beryllium
B. sodium
D. magnesium
54. A turbine has to operate at 300 rpm under a net head of 400m. if c v = 0.98, what is
the velocity?
A.68.82 m/s
C. 34.41m/s
B. 86.82 m/s
D. 173.64 m/s
Solution:
cv = 0.98;
net head=400m;
N=300rpm
V = Cv √2gh = (0.98)(√2(9.81)(400) = 86.82 m/s
55. An object of mass 100 g is at rest. A net force of 2000 dynes is applied 10 sec. What
is the velocity?
A. 125 cm/sec
C. 200 cm/sec
B. 150 cm/sec
D. 250 cm/sec
Solution:
Ft = mVo
(2,000)(10)
Vo =
= 200cm/s
100
56. A tank contains ail sp. gr. 0.80, gasoline sp. gr. 0.90 and seawater sp. gr. 1.03. If the
depths of the liquids are 0.5 m, 0.8 m and 1 m for oil, gasoline and seawater
respectively. Find the pressure at a depth of 1.2 m.
A. 28.124 kPa
C. 16.04 kPa
B. 21.092 kPa
D. 10.104 kPa
Solution:
225
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Pfluid = ρgh
density of water at 20C = 0.998 g/cm³ = 998 kg/m³
density = SG x 998 kg/m³ in each case
at 1.2 meters, you have 0.5 m of the first liquid and 0.7 of the second
P = 0.8(998)(0.5)(9.8) + 0.9(998)(0.7)(9.8)
P = (998)(9.8)(0.8•0.5 + 0.9•0.7)
P = (998)(9.8)(0.4 + 0.63)
P = (998)(9.8)(1.03) Pa = 10.104kPa
57. The minimum size of service drop copper conductors allowed by the PEC is one of
the following. Which is this?
A. 3.5 sq. mm
C. 2.0 sq. mm
B. 5.5 sq. mm
D. 8.0 sq. mm
58. The density of air at vacuum of 40 kPa and - 40 deg C is in kg/cu. m. Assume Patm =
100 kPa
A. 0.598
B. 0.638
C. 0.897
D. 0.753
Solution:
ρ=
P
=
RT
100kPa-40kPa
= 0.897 kg/m3
kJ
) (-40+273)K
(0.287
kg K
59. Varignon's theorem is used to determine the __________.
A. moment of inertia
C. location of centroid
B. mass moment of inertia
D. moment of area
60. A piece of machinery costs $ 20,000 and has an estimated life of eight years and a
scrap value of $ 2,000. What uniform annual amount must be set aside at the end of
each of the eight years for replacement if the interest rate is 4%?
A. $ 1,953
B. $ 2,174
C. $ 2,250
D. $ 2,492
Solution:
d=
(Co-CL)(i)
(1+i)𝑛 -1
; Co=$20,000; CL=$2,000; i=0.04 or 4%
d=
(20,000-2,000)(0.04)
61. RA 7920, Rule 2 (d) defining?
A. CHED
B. Commission
(1+0.04)8 -1
= $ 1,953.1
C. Board of EE
D. TESDA
62. A liquid which is compressed in a cylinder if it has a volume of 1,000 cu cm. (1 liter)
at 2 MPa and a volume of 990 cu. cm. at 2.5 MPa. Compute the bulk modulus of
elasticity
A. 150 MPa
B. 100 MPa
C. 25 MPa
D. 50 MPa
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Solution:
E=
(2.5 – 2) kPa
P2 – P1
=
= 50MPa
V1 – V2
1000
990
(
)-(
)
V1
1003
1003
1000
)
(
1003
63. Galvanized iron is a term referring to iron coated with:
A. aluminum
B. magnesium
C. tin
D. zinc
64. Determine the work, in kJ, necessary to compress 2 kg of air from 100 kPa to 4000
kPa if the temperature is held constant 300 deg C.
A. -1210
B. -1105
C. -932
D. -812
Solution:
P1
W=mRT ln ( )
P2
W=(2 kg) (0.287
W= - 1213.28 kJ
kJ
100
) (300+273) ln (
)
4000
kg K
65. Article III of Code of Ethics for Electrical Engineers contains:
A. SEC. 1 to 8
C. SEC. 1 to 6
B. SEC. 1 to 7
D. SEC. 1 to 5
66. Which metal is protected by a layer of its own oxide?
A. aluminum
B. silver
C. gold
D. iron
67. A voltage level exceeding one (1) kV up to 34.5 kV is:
A. High Voltage
C. Extra High Voltage
B. Low Voltage
D. Medium Voltage
68. A drill press is purchased for $ 10,000 and has estimated life of twelve years. The
salvage value at the end of twelve years is estimated to be $ 1,300. Using general
straight-line depreciation, compute the book value of the drill press at the end of
eight years.
A. $1,300
B. $ 3,333
C. $ 3,475
D. $4,200
Solution:
n
(C – CL )
L o
8
(10,000-1,300)
C8 = 10,000 12
C8 = $ 4,200
Cn =Co –
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69. Another counting 0, 1, 10, 11 the next binary number is
A. 15
B. 110
C. 100
D. 120
70. A force causing a rise of a liquid in tubes of small diameter.
A. cohesion
B. surface tension C. capillarity
D. adhesion
71. A skier starts from rest and slides 9.0 m down a slope in 3.0 s. in what time starting
will the skier acquire a speed of 24m/s? Assume that the acceleration is constant.
A. 8 s
B. 10 s
C. 16 s
D. 12 s
Solution:
V=Vo +at
1
9 = - at2
2
a=
g(2)
2
3
2m
-a = 2
s
24 = 2t
=-
2m
s2
t=
24
=12 sec
2
72. An engineer buys a machine costing P 500,000. Compute the capitalized cost if the
machine has a life of 5 years and a salvage value of P 80,000. Rate of interest is
12% per annum.
A. P 1,505,964.80
C. P 1,050,934.06
B. P 1,800,836.08
D. P 936,280.60
Solution:
CC = 50,000 +
50,000 - 80,000
1.255 -1
CC = P1,050,934.06
73. Accounting book in which are recorded the credits and debits of commercial
transactions.
A. ledger
C. balance
B. journal
D. clerk’s book
74. An aluminum bar 6 ft. long has a 1-in-square cross-section over 2 ft. of its length and
a 1-in-diameter circular cross-section over the other 4 ft. how much will the bar
elongate under a tensile load P = 3,500 lb. if E = =10.5 x10^6 psi?
A. 0.00284 in
B. 0.00389 in
C. 0.0284 in
D. 0.0389 in
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
Solution:
PL
δ=
AE
(3500)(2 × 12)
𝛿1 =
= 8 × 10−3
(1)(10.5 × 106 )
(3500)(4×12)
= 0.020371
δ2 = π 2
6
( 1 ) (10.5×10 )
4
δ=δ1 +δ2 =8×10-3 + 0.0203718 = 0.0284
75. A ball is thrown with an initial velocity of 30 m/sec from a height of 3 m above the
ground, and 40 m from a vertical wall. How far from the wall will the ball rebound for
the first time?
A. 23.46 m
B. 16.54 m
C. 32.46 m
D. 61.54 m
Solution
1
y= Vo sin(θ) t- gt2
2
1
-3 = 30 sin(0) t- gt
x = 23.46
R = 40-x = 40-23.46
R = 16.54 m
2
2
t = 0.78 sec
x = 30 cos(0) (0.75)
76. RA 7920 contains how many sections all in all
A. 40
B. 41
C. 43
D. 45
77. The most important element that controls the physical properties of steel is
A. Silicon
B. Tungsten
C. Manganese
D. Carbon
78. A stone of mass 100 grams is whirled in a horizontal circle at the end of a cord 100
cm long. If the tension in the cord is 2.5 newtons, what is the speed of the stone?
A.3 m/s
B. 4 m/s
C. 5 m/s
D. 6 m/s
Solution:
v2
L
v = √aL= √(25)(1) = 5m/s
F = ma
F
2.5 N 25m
a=
=
=
m 0.1 kg
s
a=
79. A student will receive P 3,000 at the beginning of each 3 months for 4 years. What is
the sum of this annuity at the end of the 4th year if the interest rate is 6%
compounded quarterly?
A. P 45,604
B. P 54,604
C. P 64,320
D. P 46,690
Solution:
F=A (
(1+i)n+1 -1
i
-1)= F=3000 (
(1+
0.06 4×4+1
)
-1
4
0.06
4
-1) = P54,604.07
Two men lift the ends of a 20 ft. beam weighing 200 lb. onto their shoulders. Both
men are of the same height so that the beam is carried horizontally, but one is much
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
the stronger of the two and wishes to bear 50% more of the weight than his mate.
How far from the end of the beam should he put his shoulder?
A. 2-½ ft.
B. 1-½ft.
C. 4-1/3ft.
D. 3-1/3 ft.
Solution:
-1.5(F1 )(10+X)+6440(10)=0
6440X
-1.5 (
) (10+X)+6440(10)=0
10+X
6.667
=3.333 ≈ 313 f
X=
2
ByFBD: F2 =1.5F1
Taking the moment at F2
F1 (10+X)-6440(X)=0
Moment at F1
-F2 (10+X)+6440(10)=0
81. Which is the scalar quantity
A. force
B. energy
C. displacement
D. velocity
82. A fluid property which refers to the intermolecular attraction by which the separate
particles of the fluid are held together:
A. cohesion
B. adhesion
C. capillarity
D. tension
Explanation:
The force of cohesion is defined as the force of attraction between
molecules of the same substance.
The force of adhesion is defined as the force of attraction between different
substances, such as glass and water.
Capillary Action is due to both the cohesive forces between liquid
molecules and adhesive forces of liquid molecules.
Tension may be described as the pulling force transmitted axially by the
means of a string, cable, chain, or similar one-dimensional continuous object, or
by each end of a rod, truss member, or similar three-dimensional object
83. When the velocity of an object is tripled, another quantity which is tripled at the same
time is the objects:
A. momentum B. potential energy C. kinetic energy
D. mass
84. A 20-kg piston rests on a sample of gas in a cylinder 10 cm in radius. The absolute
pressure on the gas is
A. 0.0064 bar B. 0.062 bar
C. 1.019 bar
D. 1.075 bar
Solution:
P=
F
𝐴
P=
=
mg
; m=20kg; r=10cm
𝐴
(20)(9.81)
10 2
π( )
100
=6,245.24
N
m2
×
1 bar
N
105 2
m
Pg =0.06245 bar
Patm =1
Pabs =1 + 0.06245
Pabs =1.06245
85. The electric power industry is divided into how many sectors?
A. 3
B. 4
C. 5
D. 6
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
Solution:
The electric power industry shall be divided into four (4) sectors, namely:
generation; transmission; distribution and supply.
86. A substance existing the gaseous phase but relatively near its saturation
temperature is known as:
A. Gas
B. Water
C. Steam
`
D. Vapor
87. How many atoms are there per unit cell for a face-centered cubic structure?
A. 1
B. 2
C. 3
D. 4
Explanation:
The hexagonal closest packed (hcp) has a coordination number of 12 and
contains 6 atoms per unit cell. The face-centered cubic (fcc) has a coordination
number of 12 and contains 4 atoms per unit cell. The body-centered cubic (bcc)
has a coordination number of 8 and contains 2 atoms per unit cell
88. Two masses 10.0 kg and 1.0 kg, respectively, are located 1.0 m apart. The
gravitational force that each mass exerts on the other is
A.6.7 x 10^-9 N
C. 6.7 x 10^-11 N
B. 6.7 x 10^-10 N
D. 6.7 x 10^-12 N
Solution:
G=6.67×10-11 ; m1 = 10; m2 = 1
=1
m1 m2
F=G 2
s
𝑡
F=(6.67×10-11 ) (
F= 6.67×10-10 N
(10)(1)
12
)
89. Funds supplied and used by owners of an enterprise in the expectation that a profit
will be earned
A. equity capital
C. save
B. credit
D. Investment
90. Work is measured in the same units as
A. force
B. momentum
C. mass
D. energy
91. The critical angle is the angle of incidence that produces an angle of refraction of
A. 0 deg
B. 45 deg
C. 60 deg
D. 90 deg
92. A concrete test cylinder having length L=12 in and diameter d=6 in is subjected to
axial compressive forces P in a testing machine. If the maximum shear stress in the
concrete is not to exceed 2,000 psi, what is the safe value for the axial load p?
A. 452,389 lb. B. 113,100 lb.
C. 904,778 lb.
D. 56,550 lb.
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
Solution:
P
; S=2000; d=6in
A
π
P =(2000) [ ×62 ]
4
P=(56548.67)(2)
P=113,097.34 lb
S=
L=12in
93. If an object is moving north, the direction of the frictional force is
A. north
B. south
C. east
D. west
94. The overall energy program formulated and updated yearly by the DOE and
submitted to Congress pursuant to RA. 7638
A. Philippine Energy Plan (PEP)
B. Power Development Program (PDP)
C. Preliminary Project Planning Data (PPPD)
D. Philippine Electrical Code (PEC)
95. Oxygen boils at -183 deg C. This temperature is
A. -215 deg F B. -297 deg F
C. -329 deg F
D. -361 deg F
Solution:
9
°ð¹ = °ð¶ +32
5
9
°ð¹ = (−183) + 32
5
°ð¹ = -297.4
96. What is the distance between two consecutive points in phase on a wave called?
A. frequency
C. amplitude
B. period
D. wavelength
Explanation:
The wavelength in a longitudinal wave is the distance between two consecutive
points that are in phase. The wavelength in a longitudinal wave refers to thedistance
between two consecutive compressions or between two consecutive rarefactions.
Amplitude. The amplitude is the maximum displacement from equilibrium.
97. Waves in a lake are 5.00 m in length and pass an anchored boat 1.25 s apart. The
speed of the wave is
A. 0.25 m/s
Solution:
B. 4.00 m/s
C. 6.25 m/s
D. 5.75 m/s
l
5
v= =
= 4m/s
t 1.25
98. A square bar of aluminum 2 in on a side and 10 in long is loaded by axial tensile
forces at the ends. Experimentally, it is found that the strain in the direction of the
232
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REGISTERED ELECTRICAL ENGINEERS PRE-BOARD EXAMINATION
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ENGINEERING SCIENCES AND ALLIED SUBJECTS
load is 0.001 in/in. Determine the volume of the bar when the load is acting.
Consider μ=0.33.
A. 40 cu. in.
C. 39.9864 cu. in.
B. 40.0136 cu. in
D. 39.9728 cu. in.
Solution:
P
S = Ee , S =
A
P
= Ee , P = AE
A
P
∆V
=e=
(1 − 2μ)
AE
V
AEε
∆V = V [
] (1 − 2μ)
AE
∆V = (22 x10)[(0.001)](1 − 2(. 33))
∆V = 0.136 in3
new V
V + ∆V
V = (22 )(10) + (.0136)
V = 𝟒𝟎. 𝟎𝟏𝟑𝟔 𝐢𝐧𝟑
99. The temperature of an object is raised by 90 deg C. This is equivalent to an increase
in its Fahrenheit scale of
A. 194
B. 130
C. 162
D. 50
Solution:
F1 =
9
9
5
5
°C+32;
°F1 =
°F1 = 32°F
9
°F2 = (90)+32
5
(0)+32
°F2 = 194°F
°F = °F2 - °F1
°F=194-32
°F=162°F
100. Determine the largest allowable square cross section of a steel shaft of length 6 m
if the maximum shearing stress is not exceeding 120 MPa when the shaft is twisted
through one complete revolution. Use G = 77.2 GPa.
A. 2.20 mm
B. 1.20 mm
C. 3.55 mm
D. 0.86 mm
Solution:
233
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REGISTERED ELECTRICAL ENGINEERS PRE-BOARD EXAMINATION
AUGUST 2012
ENGINEERING SCIENCES AND ALLIED SUBJECTS
4.81T
Sa3
SS =
; T=
4.81
a3
θa4 G
7.10TL
;
T=
7.10L
a4
Equating both equations:
2π a4 (77.2×109 )
(120×106 )a3
=
7.10 (6)
4.81
-3
a = 2.19×10 m ≈ 2.2 mm
θ=
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