PLUMBING ARITHMETIC PRACTICE QUESTIONS

B. (1 nautical mile= 1.85 km)

1 Nautical Mile = ____.


A. 5280 ft
B. 6080 ft
C. 3240 ft
D. 5040 ft

C (1 gal=231 cu.inch)

How many gallons is equivalent to 2200 cubic inches?

A. 8.2 gal

B. 7.8 gal

C. 9.5 gal

D. 11.2 gal

C

The volume of a cube is equal to the cube measure of its
A. Angle
B. Perimeter
C. Edge
D. Diagonal

B.

A and B are prime numbers. If A²-B²= 24, find the value of A.
A. 5
B. 7
C. 8
D. 11

A.

LCM of two prime numbers x and y is 161. Given that x > y, what is the value of 3y-x?
A. -2
B.2"
C. -3
D. 7

A.

Simplify .
A. x
B. m
C. m^x
D.x^m

B.

What is the travel length of a plastic pipe 4” in diameter if the offset angle is 11.25° and the offset length is 60 cm?
A. 2m
B. 3m
C. 4m
D. 5m

C.

What is usually used to move heavy loads by applying force which is usually smaller than the weight of load?
A. Wedge
B. Axle
C. Inclined plane
D. Belt

B.

What is an algebraic expression consisting of 3 terms?
A. trigonometric Ratio
B.trigonometric function
C. trihedral angle
D. Trinomial

B.

What property does this equation fall (6+(10)+3)=6+(10+3)
A. Commutative property
B. Associative Property
C. Identity property
D. Transitive Property

A.

A. i
B. -i
C. 0
D. 1

B.

Simplify (7-3x+5x²)-(4x+2x²-8)
A. -3x²+6x+23
B. 3x²-7x+15
C. 3x²-3x+15
D. 7x²-7x+15

B

a. 2/5 ; 1/8
b. 18; -27
c. 1/3; 9
d. -18; 1/3

B

Which of the following data sets has no mode?
a. 1,7,82,7,54
b.12,15,32,34,43
c. 5,21,34,5,17
d. 24,63,1,25,1

C.

If x <15, and y=15, what is the greatest possible integer value of x+y?
a. 27

b. 28

c. 29

d. 30

C.

The angle in which the line of sight to the object makes with the horizontal which is above the eye of the observer.

a. Bearing

b. Azimuth

c. Angle of elevation

d. Angle of depression

A

Find the factors of the quadratic equation x²-9x+18=0

a. (x-3), (x-6)
b. (x-3), (x+6)
c. (x-3), (x+3)
d. (x+3), (x+6)

D

The roots of the quadratic equation are consecutive odd integers and their sum is 12. Find the equation.

a. x²-12x+9=0
b. x²+12x+28=0
c. x²+12x+36=0
d. x²-12x+35=0

C

a. 1 micro

b. 1 piko

c. 1 femto

d. 1 nano

A

How many ways can 6 children be arranged?
a. 720

b. 480

c. 240

d. 640

C

In how many ways can group of 7 be placed in a circular table such that a couple always sit beside each other?

a. 720

b. 480

c. 240

d. 640

D

How many 4-digit numbers are greater than 5000 and contain 0 digits?

a. 2196

b.52592

c. 3240

d. 3645

A

A die is rolled once. Find the probability of getting a 3 or an odd number.

a. 50%

b. 25%

c. 40%

d. 82%

C

Find the probability of cards drawn at the same time, and both are face cards.

a. 9.05%

b. 4.76%

c. 4.98%

d. 5.22%

B

Find the 34th term of the arithmetic sequence with the initial term 6 and a common difference of 4.

a. 252

b.138

c. 624

d. 236

B

Find the sum of all odd numbers from 0 to 61.

a. 698

b. 961

c. 896

d. 1031

A

In geometric sequence with 18 as the 2nd term, and 486 as the 5th term, what is the term number for which the value is 13,122?

a. 8th

b. 9th

c. 10th

d. 11th

C

How many times a day do the hands of the clock overlap in a 12-hour period?

a. 12

b. 22

c. 11

d. 44

D

Find the degree in between the hands of the clock at 3:40 pm

a. 165

b. 135

c. 140

d. 130

D

How may minutes after 7 o’clock will the hands be perpendicular for the first time?

a. 23.18 mins

b. 22.19 mins

c. 20.72 mins

d. 21.82 mins

B

How many liters of a 70% alcohol solution must be added to a 50 liters of a 40% alcohol solution to produce a 50% alcohol solution?

a. 45 liters

b. 25 liters

c. 60 liters

d. 30 liters

A

5400 L of a water containing 18% salt is to be made by mixing water containing 12% salt with another batch of water containing 20% salt. How much of the water with 20% salt is needed?

a. 4050 L

b. 826 L

c. 1350 L

d. 2038 L

B

In a tank, one pipe outlet can discharge the tank completely in 32 mins. If an inlet pipe is simultaneously open, and can fill a tank in 18 mins, how long will it take to completely fill the tank?

a. 38 mins

b. 42 mins

c. 68 mins

d. 53 mins

A

Cleaner A can clean the whole gallery area in 5 hours. Cleaner B in 3 hours and Cleaner C in 6 hours. How many hours can they get the cleaning doe if they worrk together?

a. 1.42 hrs

b. 3.53 hrs

c. 1.82 hrs

d. 4.33 hrs

A

A group of 8 painters can finish a job in 10 days. 4 more painters decided to join them after 2 working days. How many total days will it take or them to finish the job?

A. 8 days

B. 12 days

C. 16 days

D. 6 days

D

An olympic sized swimming pool is 164 ft long, 82 ft wide and 7 ft deep. What is the volume in cubic meters?

a. 1933.6 cu.m

b. 9413.2 cu.m

c. 6891.6 cu.m

d. 2667.7 cu.m

A.

A father said to his son “I was as old as you when you are at the present at the time of your birth. If the father’s age is 38 years now, the sons age five years back was ___.

a. 14

b. 19

c. 33

d. 38

C

Mary is 24 yrs old. Mary was twice as old as Ana was when Mary was as old as Ana now. How is Ana?

a. 12

b. 14

c. 16

d. 18

C

Two years ago, Levi was five times as old as Eren. In two years, Levi will be three times as old as Eren. Find the sum of their current ages.

a. 36

b. 32

c. 28

d. 20

D

Find the remainder when the 5x²-25x-1 is divided by x-3?

a. -67

b. -211

c. -64

d. -31

B

What is the 2nd term in the binomial expression (2x+3)³?

a. 46x³

b. 36x²

c. 18x²

d. 42x²

B

Find the constant term in the expansion (x²- 1/x) ^9

B

A piece of rope is cut into two parts, such that one part is ¾ shorter than the other . If the longer part is 10 meters more than the shorter, what is the total length of the rope?

a. 40

b. 70

c. 30

d. 90

The denominator of a certain fraction is 3 more than twice the numerator. If 7 is added to both the terms of the fraction, the resulting fraction is 3/5. Find the original fraction.

a. 5/11

b. 13/5

c. 3/5

d. 5/13

D

Find the root mean square of 7,9,40,12

a. 17.2

b. 16.99

c. 22.52

d. 21.64

If 3 cats kill 3 rats in 3 mins, how long will it take 100 cats to kill 100 rats?

a. 100 mins

b. 3 mins

c. 10 mins

d. 300 mins

B

Find the slope of the line that passes through points (-1,2) (3,10)

a. 4

b. 2

c. 5

d. 3

A

Find the equation of a line that passes through the point (6,-4) and has a slope of (-3/2)

a. 3x+2y-10=0

b. 3x+5y1010=0

c. -3x-5y-10=0

d. 3x-2y-10=0

B

Find the distance of the point (-3,5) from the line 4x-3y-26=0

a. 14.52

b. 10.60

c. 12.06

d. 7.63

B

6200 mils is equivalent to ___.

a. 360°

b. 349°

c. 4.68 rad

d. 1.018 rad

C

How many sides does a regular polygon have with one interior angle of 120°?

a. 4

b. 5

c. 6

d. 7

B

A ladder is leaning against a 13 ft wall. The base of the ladder is 4 ft away from the wall. Find the angle of the ladder that makes with the wall.

a.17.92 °

b.17.10°

c. 18.05°

d. 17.32°

C

What is the derivative of cosine?

a. cos (x)

b. sin (x)

c. -sin (x)

d. sin²(x)

B

Get the lateral surface area of a cylinder with radius 4 cm and height of 18 cm.

a. 100.53

b.452.4

c. 442.9

d. 552.9

C

A square pyramid has a side length of 6m and a volume of 26 cu.m. Identify the lateral edge length.

a. 2.17 m

b. 3.70 m

c. 4.76 m

d. 4.24 m

C

A contractor building a house with a basement elevation of 884.6 ft. The stub-out connection elevation is 876.5 ft. If the minimum allowable slope is 3/8” per foot, how far from the road can the builder place the house?

a. 27.4 ft

b. 246.5 ft

c. 259.2 ft

d. 331.7 ft

B (1 psi=2.31 ft)

1 ft=__psi

a. 2.31

b. 0.433

c. 6.895

d. 4.184

A.

A facsimile means ___.
a. Copy

b. Telephone

c. Letter

d. Paper

B

A beam that spans multiple distances between supports.

a. simple beam

b.. continuous beam

c. overhanging beam

d. cantilever beam

C

The temperature at which water has the highest density.

a. 32°F

b. 0°C

c. 39.2°F

d. 96.8°F

A.

1 cal= __ Joule

a. 4.184

b. 4184

c. 3.966

d. 3966

B

A market whereby there is only one buyer of an item for which there are no goods substitute.

a. Monopoly

b. Monopsony

c. Oligopoly

d. Oligopsony

D

A food sales agent will earn a commission of 12% on sale values that exceed Php. 20,000. If the agent earns a base salary of Php. 15,000, what will be the total earnings if the agent was able to close Php. 30,000 worth of sales?

a. 18,300

b. 17,400

c. 18,600

d. 16,200

C

The type of bond where the corporation’s owner name is recorded and the interest is paid periodically to the owners.

a. Preferred bond

b. Collateral Trust

c. Registered bond

d. Bail bond

B

A girl was able to buy a Php.25 doll after a 20% discount. What was the original price?

a. 32.00

b. 31.25

c. 28.55

d. 30.00

C

A store is selling a phone marked at Php. 50,000, and a discount of 15%. If the store brought the phone originally at Php 40,000, what is the percentage profit?

a. 5.50%

b. 10%

c. 6.25%

d. 8.35%

B

June bought 150 kg of potatoes for Php. 10,000. He sold the first 100 kg for Php. 85 per kilo, and sold the rest for Php. 60.00 per kilo What is the overall percentage profit or loss?

a. 5%

b. 15%

c. 18%

d. 21%

C

A vendor bought Php.360 worth of crates. 4 crates are rotten so she threw them away. She sold the rest of the crates for Php. 2 interest and gained Php. 88. Originally, how many are the crates?

a. 70

b. 65

c. 60

d. 55

B

A man bought Php. 20 worth of candies and wishes to sell it. At what price should he mark it if he wishes to give a 40% discount and make 50% profit on the cost?

a.25

b. 50

c. 60

d. 45

B.

A series of regular payments made att the end of each period, such as monthly or quarterly

a. Annuity due

b. ordinary annuity

c. deferred annuity

d. Perpetuity annuity

B

The present worth of all depreciation over the econonomic life of the item is called:

a. Balance sheet

b. Depreciation recovery

c. Operation and maintenance expense

a. Capital expenditures.

B

Deliberate lowering of the price of a nation’s currency in terms of accepted standatds.

a. Depreciation

b. Devaluation

c. Inflation

d. Bankruptcy

A

The required output level for a company’s sales equal to its total costs

a. breakeven point

b. depreciation

c. bankruptcy

s. cash flow

D

A beginner investor earns Php. 52,000 in 3 years, when he initially invested Php. 200,000 in simple interest. What is the annual interest rate?

a. 6.58%

b. 8.23%

c. 6.88%

d. 8.67%

C

A man’s savings of Php. 50,000 amounts to 70,000 in 3 years at the rate of simple interest. What is the rate of interest.

a. 15.55%

b. 14.44%

c. 13.33%

d. 12.22%

C

A sum of money becomes Php. 15,000 in 3 years and Php. 20,000 in 7 years at a simple interest. Find the principal amount.

a. 10,000

b. 11,500

c. 11,250

d. 10,500

B

Someone gave you Php. 50,000 and you decided to invest it in a bank that compounds quarterly at 5% rate. What will be the amount in 3 years?

a. 59,056

b. 58,038

c. 62,055

d, 61,062

D

Find the nominal rate which if converted semi-annually could be used instead of 11.55% compunded quarterly?

a. 11.62%

b. 11.39%

c. 11.92%

d. 11.72%

D

If a certain fund earns an interest of 12% compounded quarterly, what is the effective rate of interest?

a. 12.48%

b. 12%

c. 12.09%

d. 12.55%

A

Find the final amount after 8 years if an amount of Php.36,000 is deposited in a bank paying an annual interest of 12% compounded continuously.

a. 94,021.07

b.83,389.21

c. 80,119.87

d. 74,426.22

C

How many years will it take to double your money if you invest it at 2.5% compound interest?

a. 32 yers

b. 24 years

c. 28 years

d. 18 years

C

A photocopier machine has an initial cost of Php. 120,000. The salvage value is 40,000 after 12 years. Find the book value after 5 years using the straight line method of depreciation.

a. Php, 33,333.33

b. 80,479.07

c. 86,666.67

d. 73,939.39

D

A photocopier machine has an initial cost of Php. 120,000. The salvage value is 40,000 after 12 years. Find the book value after 5 years using the declining balance method of depreciation.

a. Php, 33,333.33

b. 80,479.07

c. 86,666.67

d. 75,924.29

B

A photocopier machine has an initial cost of Php. 120,000. The salvage value is 40,000 after 12 years. Find the book value after 5 years using the sum of years method of depreciation.

a. Php, 79,983.33

b. 68,717.95

c. 88,856.67

d. 73,939.39

B

The amount that will be paid by a willing buyer to a willing seller for a property and is under no compulsion to buy or sell.

a. Book value

b. Market value

c. Use value

d. Fair value

C

17 L of water at 25°C is heated to 80°C at constant pressure. How much heat energy was applied? Specific heat capacity of water is 4186 J/kg°C

a. 5.21×10^6 J

b. 5.21×10³ J

c 3.91 ×10^6 J

d. 3.91×10³ J

D

What is the initial temperature of 52°C water that is 50 grams, if a 6000 J of heat energy is applied?

a. 25.63 °C

b. 27.56 °C

c. 29.58 °C

d. 23.33 °C

A

The amount of heat required to change ice to liquid water.

a. 334 J/g

b. 184 J/g

c. 155 J/g

d. 144 J/g

A

The amount of heat required to change liquid to gas.

a. 2260 J/g

b. 2263 J/g

c. 2350 J/g

d. 2644 J/g

D

The average bike velocity is 15 mph. Approximately how many feet can it travel in 5 hours and 25 mins?

a. 79,200 ft

b. 396,000 ft

c. 435,000 ft

d. 429,000 ft

A

Car A drives 231 km in exactly the same time as Car B drives 308 km. If Car B’s rate exceeded that of Car A by 13 kph, determine the rate of Car B.

a. 52 kph

b. 39 kph

c. 65 kph

d. 59 kph

B

A bike leaves a house leading to a certain location at 20 kph. 45 mins later, a car leaves the same house at 50 kph. How far from teh house will the car overtake the vehicle?

a. 20 km

b. 25 km

c. 17.3 km

d. 32 km

C

Vans A and B are at terminals 1 km apart moving towards each other’s direction. They come across each other after 30 seconds. Van A travels 1.5x as fast as Van B. What are their velocities?

a. 30 kph, 45 kph

b. 65 kph, 54 kph

c. 48 kph, 72 kph

d. 53 kph, 80 kph

D

The boat travels downstream in 2/3 the time as it does going upstream. If the velocity of the river current is 8 kph, determine the velocity of the boat in still water.

A

An object accelerates from 5m/s at a constant rate of 7.8 m/s². What is the speed of the object 10 seconds later?

a. 83 m/s

b. 96 m/s

c. 79 m/s

d. 86 m/s

B

A scooter accelerates from rest to 8 m/s over a distance of 25m. Determine the acceleration.

a. 3.2 m/s²

b. 1.28 m/s²

c. 2.54 m/s²

d. 3.21 m/s²

B

A car travels from rest to a speed of 40 kph, and stops after 7 km. Determine the time covered.

a. 0.30 hours

b. 0.35 hours

c. 0.40 hours

d. 0.50 hours

D

A ball is thrown upward from the ground with an initial velocity of 12 m/s. How far will it reach after 2 seconds?

a. 5.41 m

b. 6.44 m

c. 2.32 m

d. 4.38 m

A

A shot is fired at an angle of 45 degrees with the horizontal and a velocity of 300 fps. Calculate, to the nearest, the range of the projectile.

a. 932 yards

b. 293 yards

c. 392 yards

d. 329 yards

D

A gun is fired at a velocity of 24 m/s with the horizontal at an angle of 35°. How long will it take for the bullet to reach the ground?

a. 3.87 s

b. 5.24 s

c. 3.56 s

d. 2.81 s