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4th Weekly Exam – Plumbing Arithmetic
Mechanical Engineering (University of Nueva Caceres)
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4th Weekly Exam – Plumbing Arithmetic
INSTRUCTION: Select the correct answer for each of the following questions. Mark only one answer for each item by
shading the box corresponding on the letter of your choice on the answer sheet provided. STRICTLY NO ERASURES
ALLOWED. Use pencil No. 2 only.
MULTIPLE CHOICE
1. Which property of multiplication is shown? 9 x 6 = 6 x 9
a. associative
b. identity
c. commutative
d. distributive
2. The sum of two consecutive even numbers is 98. Find the two numbers.
a. 46 & 52
b. 48 & 50
c. 44 & 54
d. 42 & 56
3. It is a mathematical statement which states that two things are equal.
a. Notations
b. Expression
c. Equation
d. Operation
4. 42 is ______ % of 480
a. 8.75
b. 8.57
c. 11.43
d. 8.25
5. Which equation shows the associative property of multiplication?
a. (1 x 3) x 4 = 1 x (3 x 4)
b. 6 x 2 = 2 + 2 + 2 + 2 + 2 + 2
c. 4 + 4 = 4 x 2
d. 6 x 1 = 6
6. By what percentage will the area of a circle be increased if its radius is doubled?
a. 200 %
b. 300 %
c. 100 %
d. 400 %
7. Points lying on the same straight line is called ______
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a.
b.
c.
d.
Coplanar
Colinear
Congruent
Parade
8. Steve has been saving the Dimes and Quarters out of his pocket change for two weeks. He then notices that he
has 53 coins for a total of $8.45. How many of each kind of coin does he have?
a. 31D/ 22Q
b. 34D/ 19Q
c. 33D/ 20Q
d. 32D/ 21Q
9. A man is 25 years old and his son is 5. In how many years will the father be three times as old as the son?
a. 25
b. 3
c. 5
d. 9
10. One-fourth of a great circle is called
a. cone
b. sector
c. quadrant
d. arc
11. $3500 is invested at 5.2%. How much more must be invested at 7.5% so that the total annual interest earned is
$575?
a. $4520
b. $2540
c. $5240
d. $4250
12. How many significant digits do 10.097 have?
a. 2
b. 3
c. 4
d. 5
13. The loss or decline on the value of an asset is called
a. scrap
b. depreciation
c. salvage value
d. appreciation
14. What is the equivalent of 100 deg F?
a. 212 deg C
b. 100 deg C
c. 37.7 deg C
d. 373 deg C
15. A gasoline tank that is ½ full has 8 gallons removed. The tank is then 1/10 full. What is the capacity, in gallons, of
the tank?
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a.
b.
c.
d.
2.5
6.4
15.8
20
16. What do you call to an angle more than 180 degrees and less than 360 degrees
a. obtuse angle
b. reflex angle
c. complex angle
d. acute angle
17. Round off to the nearest integer 149.691
a. 149.69
b. 149.7
c. 150
d. 149
18. A backyard garden has vegetables planted on 5 lots with varying sizes 1 1/2 + 2 1/3 + 3 2/4 + 4 1/6 + 5 3/6 m².
How many square meters were planted with vegetables?
a. 21 1/2 m²
b. 19 m²
c. 18 1/6 m²
d. 17m²
19. The paper currency issued by the Central Bank which forms part of the country’s money supply.
a. Treasury-bills
b. Bank note
c. Check
d. Government Bond
20. The sum of two numbers is 68. If the larger is divided by the smaller, the quotient is 4 and the remainder is 8. Find
the smaller number.
a. 13
b. 12
c. 15
d. 4
21. What is the angle between the hour hand and minute hand of a clock at 6:15pm?
a. 90 deg
b. 87.5 deg.
c. 82.5 deg.
d. 97.5 deg.
22. It is a symbol (such as +, ×, etc.) that represents an operation.
a. Operator
b. Value
c. Constant
d. Variable
23. What is the value in degrees of 1 radian?
a. 90°
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b. 57.3°
c. 60°
d. 33°
24. Round off 2.371 x 10^-8 to two significant figures
a. 2.4 x 10^-8
b. 2.37 x 10^-8
c. 0.2371 x 10^-9
d. 0.002371 x 10^-11
25. Which one is not a rational number?
a. 0.5
b. 23
c. 𝜋
d. -3
26. A Booster Pump has a capacity of 500 GPM. What is the equivalent capacity in LPS?
a. 7926
b. 31.54
c. 62.33
d. 1892
27. What is the area of a circle having a diameter of 4.5 feet?
a. 15.6 sq. ft.
b. 15.7 sq. ft.
c. 15.8 sq. ft.
d. 15.9 sq. ft.
28. 9.10 Php is _____ % of Php 56
a. 16.52
b. 16.25
c. 6.15
d. 17
29. A light-year is equivalent to
a. 360 days
b. 366 days
c. 365 days
d. None of the Above
30. In a class of 50 students, 18 take Math, 26 take Science, 2 take both Math and Science. How many students in the
class are not enrolled in either Math or Science?
a. 5
b. 6
c. 7
d. 8
31. 350 is to be divided between Jones and Smith, so that Jones will receive 25 more than Smith. How much Jones
received?
a. P 185.50
b. P 187.50
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c. P 178.50
d. P 186.50
32. 350 is to be divided between Jones and Smith, so that Jones will receive 25 more than Smith. How much Smith
received? (MP July 2022)
a. P 167.50
b. P 155.50
c. P 165.50
d. P 162.50
33. For any two triangles, if an angle of one triangles is congruent to an angle of the other and if the two sides on one
triangle are proportional to two sides of the other, they are what kind of triangles?
a. Complementary
b. Supplementary
c. Similar
d. Dissimilar
34. A factor repeated to produce a power is? (MP July 2022)
a. numerator
b. square
c. quotient
d. root
35. A polygon with ten sides is?
a. dodecagon
b. undecagon
c. decagon
d. tendicagon
36. One cubic foot of water is assumed to weight 62.5 lbs. What is the weight of one cubic inch of water? (MP Feb
2022)
a. 0.0361
b. 0.0316
c. 0.0416
d. 0.0461
37. One cubic yard can give a volume equivalent to? (MP July 2022)
a. 0.7651 cu.m
b. 0.2835 cu.m
c. 0.9232 cu.m
d. 0.2024 cu.m
38. It is a series of equal payment occurring at equal interval of time? (MP July 2022)
a. Annuity
b. Debt
c. Amortization
d. Deposit
39. The quantity of a certain commodity that is offered for sale at a certain price at a given place and time. (MP July
2022)
a. Demand
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b. Supply
c. Stocks
d. Goods
40. Equivalent pressure head of fuel with SP. GR. = 0.92.
a. 120 ft
b. 136.23 ft
c. 125.42 ft
d. 141.58 ft
41. One period of a sine or cosine function is called one ___ of the sine and cosine curve. (MP July 2022)
a. cycle
b. shift
c. amplitude
d. phase
42. Of Ted’s salary, 1/10 is spent for clothing, and 1/3 for food and for rent. What part of the salary is left for other
expenditures and savings? (MP July 2022)
a. 17/30
b. 3/5
c. 19/30
d. 2/3
43. The width of a rectangle is 4/5 its length. If its perimeter is 72, what is its area?
a. 160
b. 250
c. 280
d. 320
44. A pulley whose diameter is 9 inches is connected by a belt to another whose diameter is 6 inches. If the larger
pulley runs at 1200 rpm, at how many rpm does the smaller pulley run?
a. 800
b. 1080
c. 1600
d. 1800
45. The specific gravity of cast iron is 7.20. Find its weight density in lbs/sqf of cast iron. Density of water is 62.4
lbs/sqf.
a. 449
b. 720
c. 500
d. 450
46. In a class of 40 students, 27 like Calculus and 25 like chemistry. How many like both calculus and Chemistry?
a. 20
b. 10
c. 17
d. 12
47. Two angles having the same vertex and the side of one is the prolongation of the side of the other is? (MP July
2022)
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a.
b.
c.
d.
acute angle
scalene angle
obtuse angle
vertical angle
48. The volume of the cube is equal to the cube of the measure of its?
a. angle
b. corner
c. edge
d. diagonal
49. If each two lines is perpendicular to the same line, then the line are?
a. perpendicular
b. parallel
c. tangent
d. converging
50. A number that be exactly divided by two is? (MP July 2022)
a. real
b. odd
c. integer
d. even
51. A space that is devoid of matter and which the pressure is zero.
a. black hole
b. outer space
c. vacuum
d. inner space
52. Decrease in the value of a physical property due to the passage of time. (MP July 2022)
a. inflation
b. depletion
c. recession
d. depreciation
53. What is the highest position in the corporation? (MP July 2022)
a. President
b. Board of Directors
c. Chairman of the Board
d. Stockholders
54. Type of ownership in business here individuals exercise and enjoy the right in their own interest.
a. equitable
b. public
c. private
d. pure
55. Gross profit, sale less cost of gold sold, as a percentage of sales is called, (MP July 2022)
a. profit margin
b. gross margin
c. net income
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d. rate of return
56. Scrap value of an asset is sometimes known as, (MP July 2022)
a. book value
b. salvage value
c. replacement value
d. future value
57. The ration of the interest payment to be principal for a given unit of time and usually expressed as a percentage
of the principal.
a. interest
b. interest rate
c. investment
d. all of the above
58. Which number has four significant figures?
a. 0.0014
b. 0.01414
c. 0.141
d. 1.4140
59. Naperian logarithm have a base closest to which number?
a. 2.17
b. 2.72
c. 3.14
d. 10
60. The following are scalar quantities, except:
a. mass
b. force
c. area
d. volume
61. Two coats of paint are required for an elevated water pipe line 7 inches in diameter (outside diameter) and 2,000
ft long. If a gallon of paint covers 200 sq.ft on the first coat and 250 sq. ft on the second coat, how many gallons
are needed?
a. 30 gallons
b. 31 gallons
c. 32 gallons
d. 33 gallons
62. The statement “a + b = b + a “ is a,
a. associative law of addition
b. commutative law of addition
c. associative law of multiplication
d. commutative law of multiplication
63. The plumbing fixture unit is equivalent to
a. 7.5 liters/min
b. 7.5 psi
c. 7.5 gpm
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d. 7.5 cpm
64. Let a thin capillary tube be replaced with another tube of insufficient length then, what will happen to water?
a. depressed
b. will overflow
c. change its meniscus
d. will not rise
65. What is the total surface area of a right circular cone of height 14 cm and base radius 7 cm?
a. 344.35 cm2
b. 462 cm2
c. 498.35 cm2
d. 489.53 cm2
66. A five-pointed star is also known as:
a. pentagon
b. pentagram
c. pentatron
d. quintagon
67. A normal to a given plane is:
a. lying on the plane
b. coplanar
c. perpendicular to the plane
d. parallel to the plane
68. A plane section cut from a right circular cone by a plane perpendicular to the base of the cone is: (MP July 2022)
a. parabola
b. circle
c. hyperbola
d. ellipse
69. Which of the following statements is true?
a. All squares are rectangles and rhombuses.
b. All rectangles are rhombuses, but not all rhombuses are rectangles.
c. all squares are parallelograms, but not all squares are rectangles.
d. All rhombuses are parallelograms and all parallelogram are rhombuses.
70. Find two consecutive even integers such that the square if the larger is 44 greater than the square of the smaller
integer?
a. 6 & 8
b. 10 & 12
c. 12 & 14
d. 14 & 16
71. A handbag costs P488.00 after having a 20% discount. Find the original cost of the bag. (MP July 2022)
a. P 640.00
b. P 700.00
c. P 610.00
d. P 660.00
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72. Which one of the following is not a prime number?
a. 103
b. 113
c. 233
d. 243
73. The inside walls and bottom of a concrete tank must be plastered. The floor of the tank is 25 feet long by 15 feet
wide. If the tank is 12 feet deep and does not have a top, how many square feet must be plastered?
a. 1335 sq ft.
b. 1355 sq ft.
c. 1535 sq ft.
d. 1555 sq ft.
74. How many kilograms of water must be evaporated from 10 kg of a 9% salt solution to produce a 25% salt solution?
a. 6.6
b. 6.4
c. 6.2
d. 6.0
75. If one-third of one-fourth of a number is 15, then three-tenth of that number is:
a. 35
b. 36
c. 45
d. 54
76. A 50,000 gallon tank receives 250,000 gpd flow. What is the detention time in hours?
a. 6.1 hrs
b. 5.4 hrs
c. 4.8 hrs
d. 4.2 hrs
77. Any number multiplied by __________ equals unity?
a. infinity
b. itself
c. its reciprocal
d. zero
78. A polygon with fifteen sides is called:
a. pentagon
b. dodecagon
c. pentadecagon
d. nonagon
79. When ¼ of 720 is subtracted from 3/7 of 567, the result is;
a. 71
b. 63
c. 61
d. 64
80. What is the number of horsepower required to raise 25,000 lbs of water for a height of 30 meters within 10
minutes?
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a.
b.
c.
d.
5 hp
6 hp
7 hp
8 hp
81. Twenty less than four times a certain number is 4. Determine the number.
a. 6
b. 5
c. 4
d. 3
82. Reduction in the level of national income and output usually accompanied by the fall in the general price level.
a. devaluation
b. deflation
c. inflation
d. depreciation
83. The place where buyers and sellers come together.
a. market
b. business
c. recreation center
d. buy and sell section
84. A market whereby there is only one buyer of an item for which there are no goods substitute. (MP July 2022)
a. monopsony
b. oligopoly
c. monopoly
d. oligopoly
85. It is a series of equal payments occurring at equal interval of time where the first payment is made after several
periods, after the beginning of the payment.
a. perpetuity
b. ordinary annuity
c. annuity due
d. deferred annuity
86. Kind of obligation which has no condition attached. (MP July 2022)
a. analytic
b. pure
c. gratuitous
d. private
87. An index of short term paying ability is called: (MP July 2022)
a. receivable turn over
b. profit margin ratio
c. current ratio
d. acid-test ratio
88. Estimated value at the end of the useful life.
a. market value
b. fair value
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c. salvage value
d. book value
89. A series of uniform accounts over a period of time. (MP July 2022)
a. depreciation
b. annuity
c. perpetuity
d. inflation
90. Work-in process is classified as,
a. an asset
b. a liability
c. an expenses
d. an owner’s equity
91. A condition where only few individuals produce a certain product and that any action of one will lead to almost
the same action of others.
a. oligopoly
b. semi-monopoly
c. monopoly
d. perfect competition
92. The worth of the property equals to the original cost less depreciation. (MP July 2022)
a. scrap value
b. face value
c. market value
d. book value
93. Liquid assets such as cash and other assets that can be converted quickly into cash, such as accounts receivable
and merchandise are called:
a. total assets
b. fixed assets
c. current assets
d. none of the above
94. The length of time which the property may be operated at a profit.
a. physical life
b. economic life
c. operating life
d. All of the above
95. A city of 25,000 uses 15 gallons of water per day per capita. If it is required to raise this water 150 feet, what is
the number of horsepower required?
a. 9 hp
b. 10 hp
c. 11 hp
d. 12 hp
96. One Liter (li) = ____ Ounces (Oz).
a. 33.81
b. 0.02957
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c. 100
d. 25.4
97. Which of the following depreciation methods cannot have a salvage value of zero?
a. declining balance method
b. sinking fund method
c. straight line method
d. SYD method
98. The lessening of value of an asset due to the decrease in the quantity available preferring to the natural resources.
a. depreciation
b. depletion
c. inflation
d. incremental cost
99. Lands, buildings, plant and machinery are example of,
a. current assets
b. trade investments
c. fixed assets
d. intangible assets
100.
a.
b.
c.
d.
The chord passing through the focus of the parabola and perpendicular to its axis is term as,
directrix
translated axis
latus rectum
asymptotes
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4th Weekly Exam – Plumbing
Arithmetic Answer Key
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
37.
38.
39.
40.
41.
42.
43.
44.
45.
C
B
C
A
A
D
B
D
C
C
C
D
B
C
D
B
C
D
B
B
D
A
B
A
C
B
D
B
D
D
B
D
C
D
C
A
A
A
B
C
A
A
D
A
A
46.
47.
48.
49.
50.
51.
52.
53.
54.
55.
56.
57.
58.
59.
60.
61.
62.
63.
64.
65.
66.
67.
68.
69.
70.
71.
72.
73.
74.
75.
76.
77.
78.
79.
80.
81.
82.
83.
84.
85.
86.
87.
88.
89.
90.
91.
92.
93.
94.
D
D
C
B
D
C
D
C
C
B
B
B
B
B
B
D
B
C
D
C
B
C
C
B
B
C
D
A
B
D
C
C
C
B
D
C
B
A
A
D
C
D
C
B
A
A
D
C
B
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95. B
96. A
97. A
98. B
99. C
100.
C