PLUMBING ARITH ,ETIC

Sot A Practic Mock Ex;im

b 8
If Ille I0IJI fall of J hou�e s Wi'r IS 4 11 Ches C g
per 120 f et. 1 h,1t Is Urn ->lo -. per foot In <l. 10
sm-.er?
a O 01 A \ 11.Jt Is ttw llurnbc•r l"f llor:-q ower l\)(lllllPd to
b. 0.02 1:-l!S(' 2:> 000 pt)lllldS of w:11 'I lo ,l l10Ight or :rn
C. 0 03 Ill 'tt>rS w1th111 1 () llllrlll(t'S 1
d. 0 O,l ,I �' l1p
tJ l> llp
2 Find tile me;-i nt tile cross-Sl'rtIon nf ,1 pIp1' r. 7 hp
with thP insI t' d1t1mt'.'tcr of 1-1 in .11Hl out•,Id(' d. 8 hp
dtamclt.: 1 ti 17 in
a 38 92 sq Ill CJ I nty of 25 ( 00 u •� 15 �1,1ll011s of w.itc>r per
b. 73.04 sq. in ct,1y p r c.ipll 1 11 ,� r0qu1r•'ll to r ,1I"t' tt11s w,1ter
C 153 94 SQ Ill 150 fi·PI, ,·,t1c1t 1 , lhc 11Ulll t�r of t10rscr 0\'/t�r
<

d 220 42 sq Ill r •qu1rdP

,l q hp
3. \M1at is the amount of t1c�1t rcq11Ir "d to ct1�1ngc b. 10 hp
ice 11110 water? C 11 hp
a 344 btu d 12 hp
b. 144btu
c 114 btu 10 Twu1ty 1,ss 1111n fcur times J cer1ci111 number
d 214 btu ,_, •1 Deterrn1ne the number
:l. 6
4. A temperature of 180 F Is approx1mr1tely equal b 5
to· C 4
a 52 22 C d 3
b. 62 22 C
c 72 22 C 11 V.'llat Is th, number of horsepower to lift
d. 82.22 C 10 000 q.:illons of w,1ter per hour top to a
lle19ht of �o 117 t\ssurn' tt1e we1gt1t of ,·,ater to
5. An angle inscnbed in a s rm-circle rs al •1ays? be 8 1 /2 lbs per gJl!on
a. Unaligned n 3 5G
b More than 90 degrees b. 3.86
C. Less tl1an 90 degrees c 4 8G
d. Exac tly 90 degrees d -4 SG

6. A rectangle reseN0Ir t1as ttic following 12 I fow rnnny gallons of welter cam a 75-tip
= =
dimensions: L 4m, W 2rn. f I= 3m Wl1at Is engine mIse 150 ft in 5 hours? One-gallon
the rnaxrrnum volume or water that can be weigt1s 8-1/3 lbs
accommodated in t11e tank? a. 595 000 gal.
a. 24 000 L b. 594 000 gal
b. 1 000 cu. m C. 593 000 gal
C. 813 CU. ft d. 592 000 gal
d. 240 cu. m
13. One cubic foot of water is assumed to be 62 .5
7. A water supply is to be installed at a distance lbs. Wllat is the weight of one cubic inch of
of 54 meters using 6 meters long PVC pipe water?
with a diameter of 100 mm. Determine the a. 0.0361
number of PVC pipe to be used. b. 0.0316
a. 7 C. 0.041 6
 d. 0.0461 a. 185.50
b. 187.50
14. A man bought plumbing tools worth 2100. The C. 178.50
sales tax was 8%. How much did the man d. 186.50
pay?
a. 2368 21. 350 is to be divided between Jones and Smith
b. 2268 so that jones will receive 25 more than Smith.
C. 2278 How much Smith receive?
d. 2378 a. 167.50
b. 155.50
15. A drainage pipe lien 1000 ft long is laid at a C. 165.50
slope of 2%. What is the total drop of the lower d. 162.50
end?
a. 10 ft 22. Find two consecutive integers such that the
b. 15 ft square of the larger is 44 greater than the
C. 20 ft square of the smaller integers.
d. 25 ft a. 8 and 10
b. 10 and 12
16. What is the travel length of a plastic pipe 4" in c. 12 and14
diameter if the offset angle is 11.25 degrees d. 10 and 11
and the offset length is 60 cm?
a. 2 m 23. A messenger travelling 65 miles per hour
b. 3 m pursues a truck which has a start of 2 hours
C. 4 m and overtakes it in 3 hours. Find the truck's
d. 5 m speed.
a. 37 mph
17. A 150 mm diameter pipe, 50 ft long is installed b. 38 mph
vertically. It is filled with water at atmospheric c. 39 mph
pressure, what is the total pressure in psi at d. 40 mph
the bottom?
a. 20.56 psi 24. A motorboat went 70 miles in 4 hours when
b. 21.65 psi travelling at full stream upstream on a river
C. 22.65 psi whose current flows at a rate of 6 mph. How
d. 23.65 psi much can the boat travels in still water?
a. 21.5 mph
18. What is the pressure in pounds per square b. 22.5 mph
inch at the base of a 10-foot cylinder? c. 23.5 mph
a. 0.433 psi d. 24.5 mph
b. 4.33 psi
C. 4.36 psi 25. Two coats of paint are required for an elevated
d. 4.63 psi water pipe line 7 inches in diameter (outside
diameter) and 2000 ft long. If a gallon of paint
19.If the total working area of the plunger of a covers 200 sq. ft. on the first coat and 250 sq.
pump is 1O sq. inch, what is tt1e total force in ft. on the second coat, how many gallons are
pounds of the plunger when pumping against needed?
1.25 lbs per sq. inch? a. 30 gallons
a. 11.5Ibs b. 31 gallons
b. 12.5 lbs c. 32 gallons
c. 13.5 lbs d. 33 gallons
d. 14.5 lbs
26. Wilat is the radius of the circle the area of
20. 350 is to be divided between Jones and Smith which is equal to that of a rectangle whose
so that jones will receive 25 more than Smith. sides are 26.9 inches and 12.5 inches
How much Jones receive? respectively?

John Rey M. Pacturanan, CE, MP

2
 a. 10.34 in 34. Find the present worth of future payment of
b. 11.54 in 100 000 to be made in 1 O years with an
C. 12.24 in interest of 12% compounded quarterly.
d. 12.44 in a. 30 444.44
b. 33 000.00
27. vVhat is the weight of a solid ball of brass 6 C. 30 655.68
inches in diameter? Assume the specific d. 30 546.01
gravity of 8.4
a. 33.3 lbs 35. If the edge of the cube is decreased by 50%,
b. 34.3 lbs how much percentage will the volume be
c. 35.3 lbs decreased?
d. 36.5 lbs a. 87.50 %
b. 85 %
28. One cubic yard can give you a volume C. 83.60 %
equivalent to: d. 83 %
a. 0.7651 cu. m
b. 0.2835 cu. m 36. The l1our hand of a t,uge clock is 100 cm long.
C. 0.9232 CU. ITI What is the circumferential speed of the tip of
d. 0.2024 cu. m this hand in crn/hr?
a 45.5
29. Find the diameter of a circle whose area is b. 50.25
equal to the difference between the area of an C. 52.36
8-inch circle and an area of a 4-inch circle? d. 55.45
a. 5.26 in
b. 6.93 in 37. Find the 2511' term of an arithmetic progression
C. 12.5 in 5, 8,11, 14, ..
d. 3.79 in a. 77
b. 79
30. One gallon is equal to: C 83
a. 2.31 cu. m d 76
b. 0.0023 CU. m
c. 3.79 L 38. In triangle ABC, A = 45 degrees and C = 70
d. 22.8725 mm degrees. Find the side opposite to A if line AB
= 40 m.
31. 11/16 of an inch is equal to? a. 33 64 m
a. 16.2350 rnrn b. 31.70 m
b. 12.3375 rnm C. 30.10 m
c. 17.4625 mm d. 29 20 m
d. 22.8725 mm
39. What is the radius and center of the circle x"2
32. How many feet can one horsepower raise a + y"2 - 1 Ox - 4y - 196 = 0?
weight of 33 lbs within one hour? a. (5,5)r=5
a. 60 ft b. (5, 2) r = 15
b. 600 ft C. (-2,5)r=11
C. 6000 ft d. (5,5)r=8
d. 60000 ft
40. Find the area bounded by the line x - 2y + 4 =
33. What is the corresponding effective rate of 0 and the axes.
18% compounded semi-quarterly? a. 4
a. 19.25 % b. 4.5
b. 19.48 % C. 6
C. 18.46 % d. 8
d. 18.95 %

3
John Rey M. Pacturanan, CE, MP
41. A drop of falling water passes at point 300 m a. 20%
from the ground at a speed of 20 m/sec. How b. 24%
high above the ground will it be 3 seconds C. 28%
later? d. 30%
a. 198 m
b. 195.80 m 48. What rate in percent compounded semi
C. 104.20 m annually is equivalent to 20% compounded
d. 112 m annually?
a. 22.2%
42. An airplane flying with the wind. took 2.0 hours b. 19.09%
to travel 1000 km and 2 .5 hours to fly back. C. 18.56%
What was the wind velocity in kph? d. 16.50%
a. 50 kph
b. 45 kph 49 At what rate of interest compounded quarterly
c. 58 kph will an investment double in 4 years?
d. 55 kph a. 17.71 %
b 16.61 °�
43. After how many minutes after 12:00 NN will the C 15 51 %
minute hand and the hour hand of the dock d 14 41 %
make an angle of 120 degrees for the first
time? 50 Fmd the distance from the point (5. -3} to the
a. 23.40 min line 7x - 4y - 28 = 0
b. 21.80 min a 3 10
c. 20.00 min b 3 54
d. 22.30 min C 2 75
d. 2.36
44. The bases of a right prism are pentagons with
each side 6 cm long. The bases are 12 cm 51 F111d ttie distance from the ong111 to the l111e x +
apart. What is the volume of the pnsm? 2y - 12 = 0
a. 630.85 cu. cm a. 5.37
b. 710.12 cu. cm b 5 90
c. 743.40 cu. cm c G 12
d. 695.00 cu. cm d 6 30

45. Find the area of a pentagon that is inscribed in 52. Chenlee 1s as old as Kenneth was f ur years
a circle if the area of the circle is 314 sq. m. ago. In two years. Chenlee·s age will be eleven
a. 237.76 sq. m more than half of Kenneth's age. How old is
b. 255.30 sq. m Chenlee now?
c. 340.22 sq. m a. 24
d. 283.56 sq. m b. 28
C. 20
46. Plumber A can finish a job in 2 days. Plumber d. 26
B can finish the job in 3 days. Plumber C can
do the job in 6 days. If they work together, how 53. A line segment L was measured once. 1\-vice
long will it take for them to finish the job? and thrice as follows: L = 55.210 m, 2L =
a. 1 day 110.431 m, 3L = 165.634 m.
b. 1.5 days a. 55.2100 m
c. 1.15 days b. 55.2113 m
d. 1.25 days C. 55.2155 m
d. 55.2125 m
47. Three liters of 20% alcohol solution is mixed
with one liter of an x% alcohol solution. If the 54. What is the Fahrenheit equivalent of 26.5
new mixture contains 22.5% alcohol, what is degree centigrade?
the value of x? a. 81.5

4
John Rey M. Pacturanan, CE, MP
 b. 82.34 60. Find the value of A if tan 4A = cot 6A
C. 79.7 a. 9 degrees
d. 80.12 b. 14 degrees
c. 11 degrees
55. The hypotenuse of a right triangle is 34 cm. d. 15 degrees
Find the length of the shorter leg if it is 14 cm
shorter than the other leg. 61. A spherical steel ball is placed into a vertical
a. 15 circular cylinder containing water. causing the
b. 16 water level to rise by 12 cm. If the radius of the
C. 17 cylinder is 15 cm, what is the radius of the ball?
d. 18 a. 14.75 cm
b. 13.50 cm
56. V\/hat is 1.5 revolutions in degrees measured c. 12.65 cm
counterclockwise? d. 15 cm
a. 540
b. 520 62. Whnt ,s the surface area of a sphere whose
C. 90 volume is 36 cu. m?
d. -90 a 55 8 sq m
b 48 90 sq. m
57. From the top of the tower A, the angle of c. 57 78 sq m
elevation of the top of tower B is 46 degrees. d. 52.81 sq. m
From the foot of tower B, the angle of elevation
of the top of tower A is 28 degrees Both 63 The pressure of the t<1nk ,s 50 psi Find the
towers are on the level ground If ttie he1gt1t of e[Juivalt>nl p,essure head of water.
tower B is 120 m, how high is tower A? a. 115.38 rt
a. 38.6 m b 125 33 ft
b. 42.3 m C 110 40 ft
C. 44.1 rn d 130 25 ft
d. 40.7 m
64 The pressure of ttie tank ,s 50 ps, Find the
58. From ll1e top of the tower A, the ongle of e[Juivzilent pressure he,:id of fuel 011 with SG =
elevation of the top of tower B ,s 46 degrees 0 92
From the foot of tower B. the ongle of elevation cl 120ft
of the top of tower A is 28 deyrees Botti b 136 23 fl
towers are on the level ground If the tie,gllt of C. 125.42 ft
tower B Is 120 m, what ,s the distance between d 141 58 ft
tower A and B?
a. 756.456 m 65 I\ tnnl\ can be filled by p,pe A ,n 3 hours and
b. 76.654 m by pipe 8 111 'i l1ours When tile tank Is full. It
c. 76.567 m cnn be dra,nPd by µ,pe C in 4 hours If the tank
d. 76.465 m Is in1t1ally empty ancf pipe A ;:md pipe B arc
open. how many l1ours will It take to fill tt,e
59. From the top of tt1e tower A. the angle of tank?
elevation of the top of tower B is 46 degrees. a 1 587 hours
From the foot of tower B, the angle of elevation b. 1 758 l1ours
of the top of tower A is 28 degrees. Both c. 1.875 hours
towers are on the level ground. If the height of d. 1 578 hours
tower B is 120 m, how many meters higher is
tower B? 66. A tank can be filled by pipe A in 3 hours and
a. 79.30 m by pipe B ,n 5 hours When the tank is full. It
b. 77.70 m can be drained by pipe C in 4 hours If tt1e tank
c. 81.40 m is half full and p,pe A and p,pe C are open,
d. 75.90 m how many hours will ,t take to fill the tank?
a. 7 hours

5
John Re y M. Pacturanan, CE, MP
 b. 8 hours eliminated, determine the new arithmetic
c. 9 hours mean.
d. 6 hours a. 32
b. 33
67. A tank can be filled by pipe A in 3 hours and C. 34
by pipe B in 5 hours. When the tank is full. it d. 3G
can be drained by pipe C in 4 hours. If tile tank
is initially empty and all pipes are open, how 74. The first cost of a plumbing equipment is P 385
many hours will it take to fill ll1e tank? 000. It has a life of 8 years and a salvage value
a. 3.529 hours of P 70 000. Find the annual depreciation
b. 3.259 hours using t11e straight-line method.
c. 3.925 hours a. P 48 125
d. 3.592 hours b P 21 875
C P 70 000
68. Point C is¾ away from A ( 1. -4) to B (-3. 8) d. P 39 375
Detem1ine the abscissa and ord1nc1lc of point
C. 75 If 3x = 2y and 6y = 7z. what is the ratio of x to
a. (0, 1) z?
b. (-1,4) a 23
C. (-3, 4) b. 7:9
d. (-2, 5) C 3.2
d 57
69. Plumber A is 8% taller than B. while B Is 9%,
taller than C. How much 111 percent Is plumber
A taller t11an plumber C?
a. 17.72 %
b. 18.50 %
C. 20.56 %
d. 21.45 %

70. Find the value of x if 5 - 2x = 7

a. 1
b. -2
C. -1
d. 2

71. In how many ways can eleven women be

seated in a round table w,th 11 scats?
a. 39 916 800
b. 40 320
C. 362 800
d. 3 628 800

72. A single deck of playing cards is shuffled well.

One card is drawn followed by anot11er. 1/Vhat
is the probability of getting two aces?
a. 8/52
b. 3/663
C. 4/52
d. 2/104

73. The arithmetic mean of 50 numbers is 32. If

two numbers namely 16 and 48 are

6
John Rey M. Pacturanan, CE, MP