PLUMBING ARITHMETIC
1.
If the total fall of house sewer is 24 inches per 120
feet. What is the slope per foot in sewer?
a.
0.01
b. 0.02
c.
0.03
d. 0.04
2.
Find the area at the cross section of a pipe with
the inside diameter of 14 inches and outside
diameter of 17 inches?
a.
38.92 sq.in
b. 73.04 sq. in
c.
153.94 sq. in
d. 220.42 sq. in
3.
The amount of heat required to change ice to
liquid water is?
a.
344 Btu
b. 144 Btu
c.
114 Btu
d. 214 Btu
4.
For any two triangles, if an angle of one triangles
is congruent to an angle of the other and if the
two sides of one triangle are proportional to two
sides of the other, they are what kind of
triangles?
a.
Complementary
b. Supplementary
c.
Similar
d. Dissimilar
5.
A temperature of 1800 F is approximately equal
to?
a.
52.220C
b. 62.220C
c.
72.220C
d. 82.220C
6.
An angle inscribe in a semi-circle is always?
a.
Unaligned
b. More than 900
c.
Less than 900
d. 900
7.
A factor repeated to produce a power is?
a.
Numerator
b. Square
c.
Quotient
d. root
8.
A polygon with ten sides is?
a.
Dodecagon
b. Undecagon
c.
Decagon
d. tendicagon
9.
A rectangle reservoir has the following
dimensions, L=4m, W=2m, H=3m. what is the
maximum volume of water that can be
accomadated in the tank?
a.
24,000 liters
b. 1,000 cu.m.
c.
813 cu. Ft.
d. 240 cu.m
10. Two angles having the same vertex and the side
of one is the prolongation of the side of the pther
is?
a.
Acute angle
b. Scalene angle
c.
Obtuse angle
d. Vertical angle
11. A water supply system is to be installed at a
distance of 54 meters using 6 meters long PVC
pipe with a diameter of 100mm. determine the
number of length of PVC pipe to be used?
a.
7
b. 8
c.
9
d. 10
12. What is the number of horsepower required to
raise 25,000 lbs of water for a height of 30 meters
within 10 minutes?
a.
5 hp
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
b. 6 hp
c.
7 hp
d. 8 hp
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
Twenty less than four times a certain number is 4.
Determine the number
a.
6
b. 5
c.
4
d. 3
What is the number of the horsepower to lift
10,000 gallons of water per hour top to a height
of 90 ft? assume the weight of water to be 8- ½
lbs per gallon
a.
3.56
b. 3.86
c.
4.86
d. 4.56
How many gallons of water can a 75 hp engine
raise 150 ft in 5 hours? One gallon of water
weights 8-1/2 lbs.
a.
595,238 gallons
582,353 gal
b. 594,238 gallons
c.
593,238 gallons
d. 594,328 gallons
One cubic foot of water is assumed to wight 62.5
lbs. what is the weight of one cubic inch of water?
a.
0.0361
b. 0.0316
c.
0.0416
d. 0.0461
A man bought plumbing tools worth 2100. The
sales tax was 8%. How much did the man pay?
a.
2368
b. 2268
c.
2278
d. 2378
A drainage pipe line 1000 ft long is laid at a slope
of 2%. What is the total drop of the lower end?
a.
10 ft
b. 15 ft
c.
20 ft
d. 25 ft
What is the travel length of a plastic pipe 4” in
diameter if the offset angle is 11.250 and the
offset length is 60 cm.
a.
2m
b. 3m
c.
4m
d. 5m
A 150 mm diameter pipe, 50 ft long is installed
vertically. It is filled with water at atmospheric
pressure, what is the total pressure in psi at the
bottom?
a.
20.65 psi
b. 21.66 psi
c.
22.66 psi
d. 23.65 psi
What is the pressure in pounds per square inch at
the base of a 10 foot water cylinder?
a.
0.433 psi
b. 4.33 psi
c.
4.36 psi
d. 4.63 psi
If the total working area of the plunger of a pump
is 10 sq. in. What is the total pressure in pounds
on the plunger when pumping against 125 lbs per
square inch?
a.
11.5 lbs
b. 12.5 lbs
c.
13.5 lbs
d. 14.5 lbs
24. 350 is to be divided between Jones and Smith so
that jones will receive 25 more than Smith. How
much Jones received?
a.
185.50
b. 187.50
c.
178.50
d. 186.50
25. 350 is to be divided between Jones and Smith so
that jones will receive 25 more than Smith. How
much Smith received?
a.
167.50
b. 155.50
c.
165.50
d. 162.50
26. Find two consecutive even integers such that the
square of the larger is 44 greater that the square
of the smaller integers.
a.
8 and 10
b. 10 and 12
c.
12 and 14
d. 10 and 11
27. A messenger traveling 65 miles per hour pursues
a truck which has a start of 2 hours and overtacks
it in 3 hours. Find the trucks’ speed?
a.
37 miles/hr
b. 38 miles/hr
c.
39 miles/hr
d. 40 miles/hr
28. A motorboat went 70 miles in 4 hours when
traveling at full speed upstream on a river whose
current flows at the rate of 6 miles per hour. How
fast can the boat travel in still water?
a.
21.5 miles/hr
b. 22.5 miles/hr
c.
23.5 miles/hr
d. 24.5 miles/hr
29. Two coats of paint are required for an elevated
water pipe line 7 inches in diameter (outside
diameter) and 200 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
30. What is the radius of a circle the area of which is
equal to that of a rectangle whose sides are 26.9
and 12.5 inches respectively?
a.
10.34 in
b. 11.54 in
c.
12.24 in
d. 12.44 in
31. What is the weight of a solid ball of brass 6 inches
in diameter? Assume specific gravity of 8.4?
a.
33.3 lbs
b. 34.3 lbs
c.
35.3 lbs
d. 36.5 lbs
32. One cubic yard can give a volume equivalent to?
a.
0.7651 cu.m
b. 0.2835 cu.m.
c.
0.9232 cu.m
d. 0.2024 cu.m
33. Find the diameter of a circle whose area is equal
to the difference between the area of an 8-inch
circle and the area of a 4-inch circle?
a.
5.26 in
b. 6.93 in
c.
12.5 in
d. 3.79 in
34. One gallon is equal to?
a.
2.31 cu.m
b. 0.0023 cu.m
c.
3.65 liters
d. 22.8725 mm
35.
36.
37.
38.
39.
40.
41.
42.
43.
44.
45.
46.
47.
11/16 of an inch is equal to?
a.
16.2350 mm
b. 12.3375 mm
c.
17.4625 mm
d. 22.8725 mm
The volume of a cube is equal to the cube of the
measure of its?
a.
Angle
b. Corner
c.
Edge
d. Diagonal
If each of two lines is perpendicular to the same
line, then the lines are?
a.
Perpendicular
b. Parallel
c.
Tangent
d. Converging
Is a branch of mathematics dealing with integers
and more generally, numeral computation?
a.
Algebra
b. Trigonometry
c.
Geometry
d. Arithmethic
One pound per square inch is equivalent to how
many feet of water?
a.
4.21 ft
b. 3.27 ft
c.
1.24 ft
d. 2.31 ft
The power to which a number is raised is
indicated by a small superior figure called?
a.
Logarithm
b. Increment
c.
Exponent
d. Mantissa
A number that be exactly divided by two is?
a.
Real
b. Original
c.
Integer
d. Even
How many feet can one horsepower raise a
weight of 33 lbs within one hour?
a.
10 ft
b. 100 ft
60,000ft
c.
1,000 ft
d. 10,000 ft
A space that is devoid of matter and in which the
pressure is zero?
a.
Block hole
b. Outer space
c.
Vacuum
d. Inner space
Decrease in the value of a physical property due
to the passage of time?
a.
Inflation
b. Depletion
c.
Recession
d. Depreciation
We may classify an interest rate which specifies
the actual rate of interest on the principal for one
year as?
a.
Nominal rate
b. Rate of return
c.
Exact interest rate
d. Effective rate
The ratio of the interest payment to the principal
for a given unit of time and usually expressed as a
percentage of the principal?
a.
Interest
b. Interest rate
c.
Investment
d. Rate
Additional information of prospective bidders on
contract documents issued prior to bidding date?
a.
Depict
b. Escalate
c.
Assessment
d. Bid bulletin
48. What is the corresponding effective rate of 18 %
compound semi-quarterly?
a.
19.25%
b. 19.48%
c.
18.46%
d. 18.95%
49. Find the present worth of future payment of
100,000 to be made in 10 years with an interest
of 12% compounded quarterly?
a.
30,444.44
b. 33,000.00
c.
30,655.68
d. 30,546.01
50. You loan from a firm an amount of 100,000 with a
rate of simple interest of 20 % but the interest
was deducted from the loan at the time the
money was borrowed. If at the end of one year,
you have to pay the full amount of 100,000, what
is the actual rate of interest?
a.
18.8%
b. 25.0%
c.
27.5%
d. 30.0%
51. The paper currency issued by the Central Bank
which forms part of the country’s money supply?
a.
T-bills
b. Bank note
c.
Check
d. Coupon
52. Reduction in the level of national income and
output usually accompanied by the fall in the
general price level?
a.
Devaluation
deflation
b. Delation
c.
Inflation
d. Depreciation
53. It is a series of equal payment occurring at equal
interval of time?
a.
Annuity
b. Debt
c.
Amortization
d. Deposit
54. The place where buyers and sellers come
together?
a.
Market
b. Business
c.
Recreation center
d. Buy and sell section
55. A market whereby there is only one buyer of an
item for which there are no goods substitute
a.
Monopsony
b. Oligopoly
c.
Monopoly
d. Oligopsony
56. 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
57. The total income equal the total operating cost
a.
Balance sheet
b. In place value
c.
Check and balance
d. Break even no gain no loss
58. Kind of obligation which has no condition
attached.
a.
Analytic
b. Pure
c.
Gratuitous
d. Private
59. Direct labor cost incurred in the factory and direct
material costs are the costs of all materials that
60.
61.
62.
63.
64.
65.
66.
67.
68.
69.
70.
71.
go into production. The sum of these two direct
cost is known as:
a.
GS and A expenses
b. Operating and maintenance cost
c.
Prime Cost
d. O and M costs
An index of short term paying ability is called
a.
Receivable turn-over
b. Profit margin ratio
c.
Current ratio
d. Acid-test ratio
An artificial expenses that spreads purchase price
of an asset or another property over number of
years.
a.
Depreciation
b. Singking fund
c.
Amnesty
d. Bond
Estimated value at the end of the useful life
a.
Market value
b. Fair value
c.
Salvage value
d. Book value
Consists of the actual counting or determination
of the actual quantity of the materials on hand as
of a given date.
a.
Physical inventory
b. Material update
c.
Technological assessment
d. Material count
Additional information of prospective bidders on
contract documents issued prior to bidding date
a.
Delict
b. Escalatory
c.
Technological assessment
d. Bid bulletin
A series of uniform accounts over a period of time
a.
Depreciation
b. Annuity
c.
Perpetuity
d. Inflation
The quantity of a certain commodity that is
offered for sale at a certain price at a given place
and time
a.
Demand
b. Supply
c.
Stocks
d. Goods
Work-in process is classified as
a.
An asset
b. A liability
c.
An expenses
d. An owner’s equity
What is the highest position in the corporation?
a.
President
b. Board of directors
c.
Chairman of the board
d. Stockholders
Type of ownership in business here individuals
exercise and enjoy the right in their own interest.
a.
Equitable
b. Public
c.
Private
d. Pure
Decrease in the value of a physical property due
to the passage of time.
a.
Inflation
b. Depletion
c.
Recession
d. Depreciation
An association of two or more individuals for the
purpose of operating a business as co-owners for
profit
a.
Sole proprietorship
b. Company
c.
Partnership
d. Corporation
72.
73.
74.
75.
76.
77.
78.
79.
80.
81.
82.
83.
We may classify an interest rate, which specifies
the actual rate of interest on the principal for one
year as;
a.
Nominal rate
b. Rate of return
c.
Exact interest rate
d. Effective rate
It is defined to be the capacity of a commodity to
satisfy human want.
a.
Discount
b. Luxury
c.
Necessity
d. Utility
It is the amount which a willing buyer will pay to
willing seller for a property where each has equal
advantage and is under no compulsion to buy or
sell
a.
Fair value
b. Market value
c.
Book value
d. Salvage value
This occurs in a situation where a commodity or
service is supplied by a number of vendor by a
number of vendors and there is nothing to
prevent additional vendors entering the market
a.
Perfect competition
b. Oligopoly
c.
Monopoly
d. Elastic demand
These are products or services that are desired by
human and will be purchase if money is available
after the required necessities have been obtain
a.
Utilities
b. Necessities
c.
Luxuries
d. Product goods and services
These are products or services that are required
to support human life and activities that will be
purchased in somewhat the same quantity even
though the price varies considerably
a.
Utilities
b. Necessities
c.
Luxuries
d. Product goods and services
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-monoploy
c.
Monopoly
d. Perfect competition
Grand total of the assets and operational
capability of a corporation.
a.
Authorized capital
b. Investment
c.
Subscribed capital
d. Money market
The worth of the property equals to the original
cost less depreciation
a.
Scrap value
b. Face value
c.
Market value
d. Book value
Money paid for the use of borrowed capital
a.
Discount
b. Credit
c.
Interest
d. profit
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
the length of time which the property may be
operated at a profit
84.
85.
86.
87.
88.
89.
90.
91.
92.
93.
94.
95.
a.
physical life
b. economic life
c.
operating life
d. all of the above
the provision in the contract that indicates the
possible adjustment of material cost and labor
cost
a.
secondary clause
b. escalatory clause
c.
contingency clause
d. main clause
the present worth of all depreciation over the
economic life of the item is called
a.
book value
b. capital recovery
c.
depreciation recovery
d. sinking fund
gross profit, sale less cost of goods sold, as a
percentage of sales is called
a.
profit margin
b. gross margin
c.
net income
d. rate of return
worth of the property as shown in the accounting
records of an enterprise
a.
fair value
b. market value
c.
salvage value
d. book value
those funds that are required to make the
enterprise or project a going concern
a.
initial investment
b. current accounts
c.
working capital
d. subscribed capital
a market situation where there is one seller with
many buyer
a.
monopoly
b. monopsony
c.
oligopoly
d. oligopsony
a market situation where there is one seller and
one buyer
a.
monopoly
b. monopsony
c.
oligopoly
d. oligopsony
A market situation where there are few sellers
and few buyers
a.
oligopoly
b. oligopsony
c.
bilateral oligopoly
d. bilateral oligopsony
A market situation where there are only two
buyers with many sellers
a.
duopoly
b. oligopoly
c.
duepsony
d. oligopsony
Define as the future value minus the present
value.
a.
Interest
b. Rate of return
c.
Discount
d. capital
The ratio of the interest payment to the principal
for a given unit of time and usually expressed as
percentage of the principal
a.
interest
b. interest rate
c.
investment
d. all of the above
Scrap value of an asset is sometimes known as
a.
book value
b. salvage value
c.
replacement value
d. future value
96. A type of annuity where the payments are made
at the end of payment period starting from the
first period
a.
ordinary annuity
b. annuity due
c.
deferred annuity
d. perpetuity
97. Bond to which are attached coupons indicating
the interest due and the date when such interest
is to be paid
a.
registered bond
b. coupon bond
c.
mortgage bond
d. collateral trust bond
98. “When free competition exists the price of a
product will be that value where supply is equal
to the demand’
a.
Law of diminishing return
b. Law of supply
c.
Law of demand
d. Law of supply and demand
99. The ratio of the net income to the owners’ equity
is known as
a.
Price-earning ratio
b. Profit margin ratio
c.
Return of investment
d. Gross margin
100. Capitalized cost of any property is equal to the
a.
Annual cost
b. First cost + interest of the first cost
c.
First cost+ cost of perpetual maintenance
d. First cost+ salvage value
101. 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
102. The lessening of the 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
103. An increase in the value of a capital asset is called
a.
Profit
b. Capital gain
c.
Capital expenditure
d. Capital stock
104. Lands, buildings, plant and machinery are
example of
a.
Current assets
b. Trade investments
c.
Fixed assets
d. Intangible assets
105. One gallon is equal to:
a.
2.31 cu.in
b. 0.0023 cu.m
c.
3.65 liters
d. 22. 8725 mm
106. If each edge of a cube is decreased by 50%, how
much percentage will the volume be decreased?
a.
87.50 %
b. 85 %
c.
83.60 %
d. 80 %
107. The hour hand of a huge clock is 100 cm long.
What is the circumferential speed of the tip of
this hand in cm/hr?
a.
45.5 cm/hr
b. 50.25 cm/hr
c.
52.36 cm/hr
d. 55.45 cm/hr
108. Find the 25th term of an arithmetic progression
5,8,11,14….
a.
77
109.
110.
111.
112.
113.
114.
115.
116.
117.
118.
119.
120.
b. 79
c.
83
d. 76
0
0
In triangle ABC, angle A = 45 and angle C=70 .
Find the side opposite angle A if line AB=40m
a.
33.64 m
b. 31.70 m
c.
30.10 m
d. 29.20 m
What is the radius and the centre of the circle
x2+y2-10x -4y-196=0
a.
(5,5) r=5
b. (5,2) r=15
c.
(-2,5) r=11
d. (5,5) r=8
Find the area bounded by the line x-2y+4=0
a.
4
b. 4.5
c.
6
d. 8
A drop of falling water passes a point 300 m from
the ground at a speed of 20m/s. how high above
the ground will it be 3 seconds later?
a.
198 m
b. 195.80 m
c.
104.20 m
d. 112 m
An airplane flying with the wind, took 2 hours to
travel 1000km. and 2.5 hours to fly back. What
was the wind velocity in kph?
a.
50 kph
b. 45 kph
c.
58 kph
d. 55kph
How many three digit number can be formed
using digits 0-9?
a.
100
b. 115
900
c.
150
d. 120
After how many minutes from 12;00 o’clock noon
will the minute hand and the hour hand of an
clock make an angle of 1200 for the first time?
a.
23.40 min
b. 21.80 min
c.
20.00 min
d. 22.30 min
The bases of a right prism are pentagons with
each side 6 cm long. The bases are 12 cm apart.
What is the volume of the prism?
a.
630.85 cu.cm.
b. 710.12 cu. cm.
c.
743.40 cu.cm
d. 695.00 cu.cm
Find the area of a pentagon that is inscribed in a
circle if the area of the circle is 314 sq.m.
a.
237.60 sqm
b. 255.30 sqm
c.
340.12 sqm
d. 283.56 sqm
Plumber A can finish a plumbing job in 2 days.
Plumber B can finish the job in 3 days. Plumber C
can do the job in 6 days. If they work together,
how long will it take for them to finish the job?
a.
1 day
b. 1.50 days
c.
1.15 days
d. 1.25 days
Three liters of 20 % alcohol solution is mixed with
one liter of an X% alcohol solution. If new mixture
contains 22.5%alcohol, what is the value of x?
a.
20%
b. 24%
c.
28%
d. 30%
What rate in percent compounded semi-annually
is equivalent to 20% compounded annually?
121.
122.
123.
124.
125.
126.
127.
128.
a.
22.2 %
b. 19.09%
c.
18.56%
d. 16.50%
At what rate of interest compounded quarterly
will an investment double in four years?
a.
17.7%
b. 16.6%
c.
15.5%
d. 14.4%
Find the distance from the point (5,-3) to the line
7x-4y-28=0
a.
3.10
b. 3.45
c.
2.75
d. 2.36
Find the distance from the origin to the line x+2y12=0
a.
5.37
b. 5.90
c.
6.12
d. 6.30
Chenlee is as old as Kenneth was four years ago.
In two years, chenlee’s age will be eleven more
than half of kenneth’s age. How old is chenlee
now?
a.
24
b. 28
c.
20
d. 26
A line segment L was measured once, twice and
three times as follows: L= 55.210m, 2L=110.431m,
3L=165.634m
a.
55.2100 m
b. 55.2113 m
c.
55.2155 m
d. 55.2125 m
What is the Fahrenheit equivalent of 26.500
centigrade?
a.
81.50
b. 82.340
c.
79.70
d. 80.120
The hypotenuse of a right triangle is 34 cm. find
the length of the shorter leg if it is 14cm shorter
than the other leg.
a.
15
b. 16
c.
17
d. 18
The measure of 1.5 revolutions counter clockwise
a.
540
b. 520
c.
90
d. -90
From the top of the tower A, the angle of elevation of
the top of the tower B is 46 degrees. From the foot of
tower B the angle of elevation of the top of tower A is
28 degree. Both towers are on a level ground. If the
height of tower B is 120m.
129. An angle that measures from the horizontal
upward to an object is called _____
a.
Right angle
b. Acute angle
c.
Angle of elevation
d. Angle of depression
130. How high is tower A?
a.
38.6 m
b. 42.3 m
c.
44.1 m
d. 40.7m
131. What is the distance between tower A and B?
a.
756.456
b. 76.654
c.
76.564
d. 76.465
132. How many meters higher is tower B?
a.
79.30 m
b. 77.70 m
c.
81.40 m
d. 75.90 m
133. In an isosceles right triangle, the hypotenuse is
how much longer than its sides?
a.
2 times
b. 2 ½ times
c.
1.5 times
d. None of these
134. Find the value of A if tan 4A=cot6A
a.
90
b. 140
c.
110
d. 150
135. A spherical steel ball is placed into a vertical
circular cylinder containing water, causing the
water level to rise by 12 cm. if the radius of the
cylinder is 15 cm. what is the radius of the ball in
cm?
a.
14.75
b. 13.50
c.
12.65
d. 15
136. What is the surface area of a sphere whose
volume is 36 cu.m?
a.
55.8 cum
b. 48.90 cum
c.
57.78 cum
d. 52.70 cum
The pressure in a tank is 50 psi
137. Find the equivalent pressure head of water
a.
115.38 ft
b. 125.33 ft
c.
110.40 ft
d. 130.25 ft
138. Equivalent pressure head of fuel oil with sp. Gr.=
0.92
a.
120 ft
b. 136.23 ft
c.
125.42 ft
d. 141.58 ft
139. Equivalent pressure head of nectar
a.
39.25 ft
b. 44.30 ft
c.
37.55 ft
d. 42.63 ft
A tank can be filled by pipe A in 3 hours and by pipe B
in 5 hours. When the tank is full, it can be drained by
pipe C in 4 hours.
140. What is the rate of Pipe A
a.
1/12
b. 1/8
c.
1/3
d. 1/4
141. What is the rate of pipe C
a.
¼
b. 1/12
c.
1/3
d. 1/8
142. If the tank is initially empty and pipe A & pipe B
are open, how many hours will take to fill up the
tank?
a.
1.587 hrs
b. 1.758 hrs
c.
1.875 hrs
d. 1.578 hrs
143. If the tank is half full and pipe A & pipe C are
open, how many hours will it take to fill up the
tank?
a.
7 hrs
b. 8 hrs
c.
9 hrs
d. 6 hrs
144. If the tank is initially empty and all three pipe are
open, how many hours will it take to fill up the
tank?
a.
3.529 hrs
b. 3.259 hrs
c.
3.925 hrs
d. 3.592 hrs
145. Point C is ¾ of the way from A(1,-4) to B (-3,8).
Determine the abscissa and ordinate of point C.
a.
(0,1)
b. (-1,4)
c.
(-3,4)
d. (-2,5)
146. Plumber A is 8% taller than B, while B is 9% taller
than C. by how much in percent is A taller than C?
a.
17.72%
b. 18.50%
c.
20.56%
d. 21.45%
147. Find the values of x if 5-2x=7
a.
1&6
b. -1 & -6
ans. 1 only
c.
-1 & 6
d. 1 & -6
148. In how many ways can 11 women be seated in a
round table with eleven seats?
a.
39,916,800
b. 40,320
c.
362,880
d. 3,628,800
149. A single deck of playing cards is shuffled well. One
card is drawn followed by another. What is the
probability of getting two Aces?
a.
8/52
b. 3/663
c.
4/52
d. 2/104
150. The arithmetic mean of 50 numbers is 32. If two
numbers namely 16 and 48 are eliminated.
Determine the new arithmetic mean
a.
32
b. 33
c.
34
d. 36
151. One period of a sine or cosine function is called
one ____of the sine and cosine curve.
a.
Cycle
b. Shift
c.
Amplitude
d. Phase
152. What is the volume of the sphere whose surface
area is 108 sq.m.?
a.
110.50 sq.m
b. 105.50 sqm
c.
115.00 sqm
d. 155.10 sqm
153. Solve log3 (5x+7)= 2 for x
a.
1/5
b. 2/5
c.
2/3
d. 1/3
154. Solve x4-9x2+8=0 for x
a.
+ 8, + 1
b. + 2, + 1
c.
+ 6, + 1
d. + 4, + 2 ans. +/- 2(2)^0.5, +/- 1
155. The first cost of a plumbing equipment is P
385,000. It has a life of 8 years and a salvage
value of P 70,000. Find the annual depreciation
using straight line method.
a.
P 48,125.00
b. P 21,875.00
c.
P 70,000.00
d. P 39,375.00
156. If x2 + y2 =2 and x2 – y2 =2, then x4-y4 =
a.
0
b. 2
c.
4
d. 5
157. If 3x=2y and 6y=7z, what is the ratio of x to z?
a.
2:3
b. 7:9
c.
3:2
d. 5:7
158. Six consecutive integers are given. Then sum of
the first three is 27. What is the sum of the last
three?
a.
29
b. 30
c.
32
d. 36
159. If the length of a rectangle is increased by 20%
and the width is decreased by 20 %, what percent
change occurs in the area?
a.
It remains the same
b. It decreases 4 %
c.
It increases 5%
d. It decreases 2%
160. 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?
a.
2.5
b. 6.4
c.
15.8
d. 20
161. A motion was adopted by a vote of 5 to 3. What
part of the total vote was against the motion?
a.
3/8
b. 3/5
c.
5/8
d. 5/3
162. 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?
a.
17/30
b. 3/5
c.
19/30
d. 2/3
163. Susan is 4 times as old as Paul and 1 ½ times as
old as Mary. What fraction of paul’s age is mary?
a.
3/8
b. 2 2/3
c.
3¾
d. 6
164. How much money would a man have to invest at
the rate of 5% per year, to have P1,470 at the
end of the year?
a.
P70
b. P700
c.
P1400
d. P1540
165. Find the value of x if the average of 1.0, 0.8, 0.2
and x is exactly 0.6
a.
0.2
b. 0.4
c.
0.66
d. 1.3
166. How many miles can a motorist travel from 9:55
am to 10:15 am at rate of 40 miles per hour?
a.
13 1/3
b. 15
c.
20
d. 30
167. A salesman travels for 2 hours at 30 miles per
hour and then covers 60 miles in the next 3 hours.
What is the average rate for the entire trip?
a.
18
b. 24
c.
36
d. 45
168. The elevator in a eleven-storey office building
travels at the rate of one floor per ¼ min, which
allows time for picking up and discharging
passenger. At the main floor and at the top floor,
the operator stops for 1 minute. How many
complete trips will an operator make during a 7
hours period?
a.
20
b. 30
c.
60
d. 76
169. A vertical pole 6 ft high casts a shadow 4 ft long.
At the same time a tree casts a shadow 64 ft long.
What is the height, in feet, of the tree?
a.
44
b. 72
c.
96
d. 192
170. If 4 men can clear the garbage near a school in 6
hours, how many hours will it take 12 men
working at the same rate to perform this task?
a.
2
b. 8
c.
12
d. 18
171. An alloy of copper and tin is 20% copper. How
many pounds of copper must be added to 20
pounds of the alloy in order for the resulting alloy
to be 50% copper?
a.
6
b. 12
c.
12.5
d. 13
172. How much water, in cm3, must be added to 100
cm3 of 80% solution of boric acid to reduce it to a
50% solution?
a.
30
b. 40
c.
50
d. 60
173. How many quartz of a 90% solution of alcohol
should be mixed with a 75% solution of alcohol in
order to make 20 quarts of 78% solution?
a.
4
b. 9
c.
11
d. 15
174. A machine can cut some wood in 6 minutes, and a
man using a hand saw can do it in 18 minutes.
After 4 minutes there is a power shortage and the
wood must be cut by hand saw. How many
minutes must the man work to complete the
task?
a.
2
b. 6
c.
12
d. 14
175. Three pipes are used to fill a pool with water. One
pipe alone can fill the pool in 9 hours. Another
can fill it in 6 hours. The third can fill it in 3 hours.
How many minutes will it take to fill this pool if all
three pipes are used simultaneously?
a.
1.63
b. 11
c.
54
d. 98
176. If three secretaries can type six manuscripts in 12
days, how many days will it take two secretaries
to type three such manuscripts?
a.
4
b. 9
c.
12
d. 16
177.
d.
11/18
187.
Angle x=
a.
400
b. 450
c.
500
d. 850
178. An office equipment costing P42,000 depreciates
to P11,500 in 10 years. What is the annual
depreciation?
a.
P3000
b. P3050
c.
P2000
d. P1500
179.
Circle is inscribed in triangle ABC. BC=4, AF=3,
EC=5
a.
12
b. 15
c.
17
d. 24
180. 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
181.
182.
183.
184.
185.
186.
In circle O, OA=6, angle AOB= 600. The area of the
shaded portion=
a.
2π
b. 4 π -3
c.
6 π -9 3
d. 36 π- 9 3
A rectangle lot 50 ft by 100 ft is surrounded in all
sided by a concrete walk 5 ft wide. Find the
number of square ft in the surface of the walk
a.
1600
b. 5250
c.
5500
d. 6100
What is the distance from point A(3,4) to point (3,-4)
a.
0
b. 5
c.
10
d. 13
Point (-2,6) is the center of a circle that is tangent
to the x-axis. The coordinates of the point of
tangency are
a.
(-2,0)
b. (0,4)
c.
(-2,-6)
d. (0,-2)
If ab=6 and a2 +b2 = 13, then (a+b)(a+b)=
a.
19
b. 25
c.
36
d. 49
In a certain office, 1/3 of the workers are women,
½ of the women are married, and 1/3 of the
married women have children. If ¾ of the men are
married and 2/3 of the married men have
children, what part of the workers is without
children?
a.
5/18
b. 4/9
c.
17/36
a+b b+a
a-b b-a
a.
-1
b. 0
c.
1
d. a+b
188. A bag of chicken feed 18 chickens for 54 days. For
how many days will it feed 12 chickens?
a.
36
b. 37
c.
53
d. 72
189. A 14 cm inner diameter (i.d) water main furnishes
water (through intermediate pipes) to a 1.00 cm
id. Faucet pipe. It the average velocity in the
faucet pipe is 3 cm/sec, what will be the average
velocity (in cm/s) it causes in the water main?
a.
0.0153
b. 0.0110
c.
0.135
d. 1.0
190.
191.
192.
193.
194.
In the figure above a,b,and c are in ratio 1:3:2.
The value of b is
a.
30
b. 50
c.
60
d. 90
Vicky buys a refrigerator that sells for P4,800
cash. She pays P2,000 down payment and
promises to pay the balance in 36 monthly equal
payments. What is the size of her monthly
payment, if interest is charged at 6%
compounded monthly?
a.
P80
b. P85.18
c.
P90
d. 92.18
A marble with speed 20 cm/s rolls off the edge of
the table 80 cm high. How far (in cm),
horizontally, from the edge does the marble strike
the floor?
a.
7.8
b. 8.1
5.71cm
c.
8.3
d. 8.5
If a pipe fills a cistern in h hours, how much of the
cistern does it fill in one hour?
a.
1/h
b. x/h
c.
hx
d. h/x
if
is defined to equal xy-z, and
+a=0, then
a=
a.
xz-y
b. xz+y
c.
z-xy
d. xy-z
195. A man travels 4 miles north, 12 miles east, and
then 12 miles north. How far, to the nearest mile,
is he from the starting point?
a.
17
b. 20
c.
21
d. 28
196. In the figure, the measure of A
a.
15
b. 45
c.
60
d. 80
197. A pulley whose diameter is 9 inches is connected
by a belt to another pulley whose diameter is 6
inches. If the larger pulley runs at 1200
revolutions per minutes, at how many revolutions
per minutes does the smaller pulley run?
a.
800
b. 1080
c.
1600
d. 1800
198. How many tiles are needed to cover a bathroom
floor 3 m long and 2m wide if each tile is a square
of side 1 decimeter?
a.
60
b. 300
c.
600
d. 1200
199. A tank is ¾ filled with oil. After 65 liters of oil are
drawn out, the tank is still half full. How many
liters can the tank hold?
a.
130
b. 195
c.
260
d. 360
200. There are 252 students in a school. If the ratio of
female to male students is 3:4, how many female
students are there?
a.
63
b. 108
c.
124
d. 189
201. A father willed that his three sons’s inheritance
from him (starting from eldest) be in ratio 1:2:3. If
the middle sons’s inheritance was P27,000, how
much did the third (or youngest) son inherit?
a.
P13,500
b. P40,500
c.
P54,000
d. P81,000
202. Mercury boils at 6750 F. what is the boiling point
of mercury in 0C?
a.
675
b. 357
c.
537
d. 735
203. What is the area of the square inscribed in the
quadrant if the radius of the circle is 10 cm?
a.
100 cm
b. 50 cm
c.
50 2 cm2
ans. 50 cm^2
d. 25 2 cm2
204. What amount should be paid on February 14,
1991 on a loan of P5,090 made October 7, 1990
with
5 3/5% simple interest?
a.
P5,200
b. P5190.56
5181.196
c.
P6000
d. P5910.56
205. On a boy’s seventh birthday, his parents
deposited P5,000 in his name in a savings bank
paying 1 3/8% every three months. Find the value
of his savings when he reaches age 21.
a.
P8762.50
b. P7862.50
ans. 6059.38
c.
P2678.50
d. P8276.50
206. A truck starts from rest and moves with constant
acceleration of 5 m/s2. what is its distance
traveled after 4 seconds has elapsed?
a.
20
b. 30
c.
40
d. 50
207. A marble dropped from a bridge strikes the water
in 5 seconds. What is the height of the bridge?
a.
123m
b. 125m
c.
120m
d. 118m
208. A plane is traveling eastward at an airspeed of
500 km/hr. but a 90 km/hr wind is blowing
southward. What is the speed of the plane
relative to the ground?
a.
590 km/hr
b. 410 km/hr
c.
500km/hr
d. 508 km/hr
209. The specific gravity of cast iron is 7.20. find its
weight density in lbs/ft2 of cast iron. Density of
water is 62.4 lbs/ft3.
a.
449
b. 720
c.
500
d. 450
210. A horizontal pipe has a constriction in it as shown
in figure below. At point I the diameter is 6 cm,
while at point 2 it is only 2 cm. At 1, v1=2m/s and
P1=180 kpa. Calculate P2 (in kPa).
211.
212.
213.
214.
215.
216.
217.
a.
10
b. 15
c.
20
d. 25
How high would water rise in the pipes of a
building if the water pressure gauge shown the
pressure at the ground floor to be 270 kPa?
a.
25.5 m
b. 26 m
c.
27.6 m
d. 28.3 m
A lead pipe 50 mm in outside diameter and 1.20m
is melted to form a cube of edge 10 cm. how
thick(mm) was the pipe?
a.
5
b. 6.05
c.
6.5
d. 6.55
Henry’s father is now twice as old as he is 16
years ago, he was four time as old. How old is
henry now/
a.
32
b. 24
c.
8
d. 48
The sum of reciprocal of two consecutive even
whole numbers is 13/84. Find the numbers.
a.
6,8
b. 8,10
c.
10,12
d. 12,14
A vertical pole was broken by the wind. The upper
part still attached, reached a point on the level
ground 4m from the base. If the upper part is 2m
longer than the lower part, how tall was the pole?
a.
5m
b. 3m
c.
8m
d. 6m
If the digits of a two-digit number are reversed,
the number is three times their difference. What
is the number?
a.
42
b. 60
c.
24
d. 20
What is the time after 1:00 o’clock will the hands
of the clock forms a straight line?
a.
1:35:10
b. 1:38:11
c.
1:39:15
d. 1:30:00
218. What is the time when the hands after 2:00
o’clock are perpendicular with each other?
a.
2:27:36
b. 2:28:16
c.
2:26:15
d. 2:28:30
219. The age of Dompoy divided by the age of his son
gives a quotient of four remainder two 12 years
hence, the sum of their ages is 66. Find the
present age of the son.
a.
34
b. 12
c.
10
d. 8
220. Atmospheric pressure is about 1 x 105 Pa. how
large a force does the air in a room exert on the
inside of a window pane that is 40 cm x 80 cm?
a.
3.2 x 102
b. 3.2 x103
c.
3.2 x104
d. 3 x 104
221. A plumber is to install 20 meters long pipe, the
length of pipe is 3.0 meters per piece. If the
plumber has 4 pcs of pipe available, what is the
total length of pipe he will have to install?
a.
8
b. 12
c.
10
d. 6
222. The age of the father is 3 times that of his son.
The sum of their age is 60. How old is the son?
a.
10
b. 12
c.
15
d. 16
223. The cost of purchasing a set of bathroom fixture is
P15,000.00. if the purchase will be made directly
with the manufacturer, a discount of 30% can be
availed of. What will be the cost of discounted
fixture?
a.
P12,000
b. P13,500
c.
P11,500
d. P10,500
224. Two years from now, Pedro will be two times as
old as Juan. If the sum of their age 2 years from
now is 60 years. How old is Pedro and Juan now.
a.
17
b. 15
c.
20
d. 18
225. Car A which is running at the speed of 60 km/hr
leaves station N which is 200 km away from
station S where it is heading. Car B leaves station
S heading to station N at the speed of 40 km/hr.
how long will the two cars meet?
a.
2
b. 1
c.
1½
d. 3
226. A plumber covers a journey of 952,000 km in 7
days and 3 hours. Find his average speed in km/s.
a.
155 km/s
b. 1.55 km/s
c.
15.50 km/s
d. 1550 km/s
227. A young plumber deposited P1,000 in the bank at
6% interest compounded annually when he
started plumbing at the age of 21. How much will
he get from the bank when he retires at the age
of 65?
a.
P12,990
b. P12,890
c.
P12,980
12985
d. P2,770
228. A refrigerators cost P 15,000 when it is new. It
depreciates at the rate of 10% per year. What
would it worth after 10 years?
a.
P5,130.18
b. P5,330.00
c.
P5,240.18
d. P5,230.18
229. How much work is required to lift a 50 pounds
weight 100 ft vertically from ground level?
a.
500 ft-lb
b. 5000 ft-lb
c.
50ft-lb
d. None of these
230. A swimming pool is 5 m wide, 20 m long and
1.20m deep, is being filled up with a pipe at the
rate of 85 gallons per minutes. How long does it
take to fill the pool?
a.
6 hrs
b. 6.2 hrs
c.
7 hrs
d. 5 hrs
231. The radius of a circle whose area is equal to that
of a rectangle whose side are 20 meters and 30
meters respectively is;
a.
9.17 m
b. 13.83 m
c.
15.92 m
d. 14.92 m
232. Find the height of a cylinder tank which is filled
with water weighing 200 kg and its diameter of
the base is 4m (specific gravity of water=1)
a.
13.92 m
b. 16.92 m
c.
15.92m
d. 14.92 m
233. A plumber crossed a river 30m wide but current
brought 40m beyond and further to the opposite
bank. What is the total distance travelled?
a.
50 m
b. 60 m
c.
45 m
d. 55 m
234. A car 15 ft long overtakes a truck 30 ft. long which
is traveling at a rate 45 mph. how fast must the
car travel to pass the truck in 3 seconds?
a.
90
b. 60
c.
91
d. 75
235. If the numerator of a fraction is doubled and the
denominator is increased by 7, the valve becomes
2/3. If the denominator is doubled and the
numerator is increased by 2, the value becomes
3/5. Find the original fraction.
a.
4/5
b. ¾
c.
5/6
d. 4/7
236. 3M/2N =125, what is the value of N in terms of
M?
a.
12 M
b. 8 M
3M/250
c.
4M
d. M/4
237. The square of the positive integer y is how much
greater than the square of the integer
immediately preceding it.
a.
(y+4) 2
b. 2y-1
c.
2y+1
d. y2 + 1
238. A crate of apples contain one bruised apple for
every 30 apples in a crate if 3 out of every 4
bruised apples are considered unsaleable, there
are 12 unsaleable apples in a crate, how many
apples are there in a crate?
a.
270
239.
240.
241.
242.
243.
244.
245.
246.
247.
248.
249.
b. 480
c.
600
d. 840
Two motorists start out from two twons 420 km
apart and travel toward each other at the hourly
rate of 30 and 40 km respectively. In jow many
hours will they meet?
a.
4 hrs
b. 7 hrs
c.
5 hrs
d. 6 hrs
Twenty seven coins composed of 5 centavo-coins
and 25 centavo-coins have a total value of P 4.95.
How many 25 centavo-coins are there?
a.
15
b. 20
c.
18
d. 12
A boat travels a certain distance downstream in 2
hrs. on its return trip the same distance is covered
in 5 hours. If the speed of the current is 6 mph,
what is the speed of the boat in still water?
a.
14 mph
b. 13 mph
c.
12 mph
d. 15 mph
What is the volume of the cylindrical tank with
the flat ends, if the inside diameter is one meter
and height is 2 m?
a.
π/2
b. 2 π
c.
Π
d. π/4
if the lengths of the sides of the triangle sail are
5m, 8m and 11m. find the area of the sail.
a.
18.33
b. 19.75
c.
18.66
d. 19.50
Three years ago Juan was 1/5 as old as his father.
Six years from now he will be 1/3 as old as his
father. How old is Juan now?
a.
11 yrs. Old
b. 15 yrs. Old
c.
12 yrs. Old
d. 10 yrs. Old
Going against the wind, the plane can travel 5/8
of the distance it can travel in one hour if it is
going with the wind. If the plane can fly 300 mph
in calm wind, what is the velocity of the wind?
a.
69 4/13 mph
b. 71 mph
c.
73 mph
d. 50 mph
An office has 60 employees. If 4 out of every 5
employees are married, how many married
employees are there?
a.
20
b. 48
c.
24
d. 40
Find the area of a regular hexagonal with
perimeter 12
a.
14.70
b. 10.39
c.
5.6
d. 9.25
In the numeral 4, 7, 3, 8 , the digit 7 means?
a.
700
if 4,738, 7 is 700
b. 7
c.
7000
d. 70
The surface area of a cube is 96 sq.m. how many
cu.cm. are there in a cube?
a.
96
b. 32
c.
64
d. 16
250. A man riding on a motorcycle runs 40 km/r., is
followed 5 hrs later by a car which runs 60 kph. In
how many hours will the car overtake the
motorcycle?
a.
10 hrs
b. 5 hrs
c.
12 hrs
d. 15 hrs
251. Points A and B 1000m apart are plotted on a
straight highway running east and west. From A,
the bearing of a tower C is 320 W of N and from B
the bearing of C is 260 N of E. Approximate the
shortest distance of tower C to the highway.
a.
364 m
b. 374 m
c.
384 m
d. 394 m
252. If cos 650 + cos 550 = cos Ɵ, find Ɵ in radians
a.
0.765
b. 0.087
c.
1.213
d. 1.421
253. In how many ways can 6 distinct books be
arranged in a bookshelf?
a.
720
b. 120
c.
360
d. 180
254. Roll a pair of dice. What is the probability that the
sum of two numbers is 11?
a.
1/36
b. 1/9
c.
1/18
d. 1/20
255. The formula for change of centigrade reading to
Fahrenheit reading is?
0
a.
F= 5/9 0C + 32
b. 0F= 9/5 0C -32
0
c.
F= 9/5 0C +32
d. 0F= 5/9 0C -32
256. Two trains start from the same station and runs in
opposite directions. One runs at a uniform rate 33
kph while the other at 35 kph. In how many hours
will they be 195 km apart?
a.
4 hrs
b. 2 ½ hrs
c.
3 hrs
2.86 kph
d. 3 ½ hrs
257. 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
258.