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Plumbing Refreshers > PLUMBING ARITHMETIC-1 > Flashcards

PLUMBING ARITHMETIC-1 Flashcards

1
Q

The amount of heat needed to raise the temperature one pound of that substance one degree Fahrenheit is:
BTU
Specific heat
Latent heat
Relative heat

A

BTU

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2
Q

If the total working area of the plunger of a pump is 10 sq. inch., what is the total force in pounds of the plunger when pumping against 1.25 lbs. per inch

A

12.5

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3
Q

In triangle ABC, A=45 degrees and C=70 degrees. Find the side opposite to A if line AB=40m
1/1
33.64m
31.70m
29.20m
30.10m

A

30.10m

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4
Q

The study of the properties and behavior of atmospheric air is known as:

Gas dynamics
Thermodynamics
Psychometrics
Atmosphere

A

Psychometrics

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5
Q

Entropy is the measure of:

the change in enthalpy in the system
the heat capacity of the substance
randomness or disorder
the internal energy of gas

A

randomness or disorder

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6
Q

The transmission of heat from a hot body to a cold body by electromagnetic waves is:

Conduction
Absorption
Convection
Radiation

A

Radiation

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7
Q

With regards to corrosion of metals, passivation is the process that:

intensifies deterioration temporarily
inhibits further deterioration
changes the composition of metal
alters the grain size of the metal

A

inhibits further deterioration

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8
Q

A motorboat went 70 miles in 4 hours when travelling at full stream upstream on a river whose current flows at a rate of 6mph. How much can the boat travel in still water?

22.5 mph
23.5mph
21.5mph
24.5 mph

A

23.5mph

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9
Q

Which of the process where work done is zero?
Isentropic
Polytropic
Isometric
Isobaric

A

Isometric

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10
Q

One horsepower is equivalent to:

A

746 watts

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11
Q

The energy that changes the phase of a substance:
Specific
Fusion
Latent
Sensible

A

Latent

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12
Q

The SI unit of temperature is:
ᵒF
ᵒK
ᵒR
BTU

A

ᵒK

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13
Q

The SI unit of power is:

Joule
Pascal
Newton
Watt

A

Watt

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14
Q

What is the temperature at which water freezes using Kelvin scale?

A

273

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15
Q

What is the radius of the circle which area is equal to that of a rectangle whose sides are 26.9 in and 12.5 in respectively?

10.34 in
12.54 in
11.54 in
12.44 in

A

10.34 in

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16
Q

What is the weight of a solid ball of brass 6 inches in diameter? SG = 8.4

33.3 lbs
36.5 lbs
35.3 lbs
34.3 lbs

A

34.3 lbs

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17
Q

What is the gauge used to measure 0.001 to 1 atmospheric pressure?

Barometer
Mercure manometer
Psychrometer
Hydrometer

A

Barometer

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18
Q

Time rate of doing work

Power
Heat
Energy
Work rate

A

power

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19
Q

At what temperature readings do the Fahrenheit and Celsius scales have the same value?

-35 degrees
-40 degrees
-45 degrees
-30 degrees

A

-40 degrees

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20
Q

What is the corresponding effective rate of 18% compounded semi-quarterly?

19.25%
19.48%
18.45%
18.25%

A

19.48%

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21
Q

What is the Fahrenheit equivalent of 26.5 degree centigrade?

81.5
82.34
79.7
80.12

A

79.7

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22
Q

Find the present worth of future payment of 100,000 to be made in 10 years with an interest of 12% compounded quarterly.

33,000.00
30,444.44
30,655.68
30,546.01

A

30,655.68

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23
Q

What is the value which a disinterested third party, different from the buyer and the seller will determine in order to establish price acceptable to both parties?

Franchise value
Fair value
Goodwill value
Market value

A

Fair value

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24
Q

What do you call an increase in the value of the capital stock?

Capital expenditure
Capital gain
Capital stock
Profit

A

Capital gain

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25
Q

Liquid assets such as cash and other assets that can be converted quickly into cash, such as accounts receivables and merchandise is called:

Land and buildings
Total assets
Current assets
Fixed assets

A

Current assets

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26
Q

At what rate of interest compounded quarterly will an investment double in 4 years?

16.61%
17.71%
15.51%
14.41%

A

17.71%

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27
Q

Find the 25th term of an arithmetic progression 5, 8, 11, 14, …

79
77
83
76

A

77

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28
Q

What is the interest rate at which the present worth of the cash on a project is zero of the interest earned by an investment?

Effective rate
Nominal rate
Yield
Rate of return

A

Rate of return

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29
Q

When one of the factors of production is fixed in quantity or is difficult to increase, increasing the other factors of production will result in a less proportionate increase in output?

Law of diminishing return
Law of supply
Law of demand
Law of supply and demand

A

Law of diminishing return

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30
Q

What is the market situation wherein there is only one seller with many buyers?

Monopoly
Monopsony
Oligopoly
Oligopsony

A

Monopoly

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31
Q

It is a depreciation method whereby the decrease in value of the unit does not change each year.

Sinking fund method
Matheson method
SYD method
Straight line method

A

Straight line method

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32
Q

Each period, two type of financial statements are typically generated. These are:

Common size financial statement
Statement of changes in financial position
Cost of sales statements
Balance sheet and the profit and loss statements

A

Balance sheet and the profit and loss statements

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33
Q

What I the method of depreciation where a fixed sum of money is regularly deposited at compound interest in a real or imaginary fund in order to accumulate an amount equal to the depreciation of an asset at the end of the asset’s estimated life?

Sinking fund method
Straight line method
SYD method
Declining balance method

A

Sinking fund method

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34
Q

A depreciation model where the value of an asset decreases at a decreasing rate:

Sinking fund
Straight line
SYD
Declining balance

A

Declining balance

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35
Q

A formal organization of producers within an industry forming a perfect collusion purposely formed to increase profit and block new comers from the industry.

Cartel
Monopoly
Corporation
Mafia

A

Cartel

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36
Q

The hire of any person to do whatever work he is skilled in doing:

Promotion cost
Material cost
Salary cost
Labor cost

A

Labor cost

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37
Q

Reduction in the level of national income and output usually accompanied by a fall in the general price level.

Deflation
Subrogation
Inflation
Resultant

A

Deflation

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38
Q

The decrease in value of a certain property due to the gradual extraction of its contents:

Depreciation
Diminishing returns
Depletion
Depression

A

Depletion

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39
Q

A measure of how much a product costs to make.

Net expense
Sales
Gross margin
Gross sales

A

gross margin

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40
Q

Reduction in the level of national income and output usually accompanied by a fall in the general price level.

Deflation
Inflation
Devaluation
Depreciation

A

Deflation

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41
Q

The paper currency issued by the Central Bank which forms part ofthe country’s money supply.

T-bills
Bank note
Check
Coupon

A

Bank note

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42
Q

Pricing strategy that charges the customer different prices for the same product or service.

Price war
Price manipulation
Price discrimination
Price escalation

A

Price discrimination

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43
Q

Isotopes differ in

Number of protons
Number of neutrons
Number of bonds
Number of electrons

A

Number of neutrons

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44
Q

A vertical pole 6 feet high cast a shadow of 3 feet. Find the height of a tree that cast a shadow of 2 feet.

3 feet
4 feet
5 feet
6 feet

A

4 feet

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45
Q

It is an accounting book where the records of all the transaction is recorded.

Log book
Credit entry
Journal
Transaction record

A

Journal

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46
Q

A company bought a book for 200. What will be the selling price if the company intends to have 30% profit and sold it with 20% discount?

275
300
325
350

A

325

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47
Q

Chemical symbol for Cesium.

Ce
Cm
Cs
Cu

A

Cs

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48
Q

A triangular prism has a base dimension of AB = 24 m, BC = 20 m, and CA = 16 m. Determine the volume of the prism if its height is12 m.

674 m3
1404 m3
1604 m3
1904 m3

A

1904 m3

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49
Q

A Roman numeral M is equivalent to

1000
500
100
50

A

1000

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50
Q

0.50 in its fraction form is

½
¼
3/8
¾

A

½

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51
Q

A certain employee has a salary increase from 2010 to 2012. If the annual increase is 40%, what is the original salary in 2010 if the salary in 2012 is P20,000?

P7,206
P9,504
P10,204
P15,308

A

P10,204

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52
Q

A type of bond which refers to debt issued by a company that is not secured by collateral, a source of capital and would appear as liabilities of the company on the balance sheet.

Collateral trust bond
Debenture bond
Joint bond
Mortgage bond

A

Debenture bond

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53
Q

It is a bond that is secured by a financial asset, such as stock or other bonds, that is deposited and held by a trustee for the holders of the bond. Also called a collateral trust certificate or collateral trust note.

Collateral trust bond
Collateral trust certificate
Collateral trust note
All of the above

A

Collateral trust bond

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54
Q

It is a bond secured by a mortgage or pool of mortgages. These bonds are typically backed by real estate holdings and real property such as equipment. In a default situation, mortgage bondholders have a claim to the underlying property and could sell it off to compensate for the default.

Collateral trust bond
Debenture bond
Joint bond
Mortgage bond

A

Mortgage bond

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55
Q

Is one where two or more parties guarantee interest and principal. In the case of default, the bondholders have the right to claim the assets of all the issuing institutions, corporations, or individuals. This dual responsibility reduces risk and the borrowing costs.

Collateral trust bond
Debenture bond
Joint bond
Mortgage bond

A

Joint bond

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56
Q

It is the distribution of reward from a portion of company’s earnings and is paid to a class of its shareholders. These are decided and managed by the company’s board of directors, though they must be approved by the shareholders through their voting rights.

Dividend
Equity
Return on investment
Par value

A

Dividend

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57
Q

It is the face value of a bond. It is important for a bond or fixed-income instrument because it determines its maturity value as well as the dollar value of coupon payments.

Dividend
Equity
Return on investment
Par value

A

Par value

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58
Q

It is a performance measure used to evaluate the efficiency of an investment or compare the efficiency of a number of different investments.

Dividend
Equity
Return on investment
Par value

A

Return on investment

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59
Q

Identify the series of equal payments occurring at equal intervals of time where the first payment is made after several periods, after the beginning of the payment.

Progressive annuity
Deferred annuity
Simple annuity
Delayed annuity

A

Deferred annuity

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60
Q

When an imaginary number is raised to an even exponent it becomes what?

Infinite
Relatively small number
Negative imaginary number
Real number

A

Real number

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61
Q

Cost of things that are neither labor or materials.

Expenses
Investments
Labor cost
Construction cost

A

Expenses

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62
Q

The hypotenuse of a right triangle is 34cm. Find the length of the shorter leg if it is 14 cm shorter than the other leg.

16
15
17
18

A

16

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63
Q

The number of several outcomes divided by the number of possible outcomes is:

Probability
Permutation
Combination
Change

A

Probability

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64
Q

Is one where the payments are made at the end of each period

Ordinary annuity
Perpetuity
Annuity due
Deferred annuity

A

Ordinary annuity

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65
Q

A prime number has exactly how many divisors?

2
4
3
1

A

2

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66
Q

Overall profit, sales less cost of goods sold, as a percentage of sales is

Net income
Rate of return
Profit margin
Gross margin

A

Gross margin

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67
Q

What is an association of two or more persons for a purpose of engaging in a profitable business?

Sole proprietorship
Enterprise
Partnership
Corporation

A

Partnership

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68
Q

An example of neutral equilibrium would be?

a ball on the table
a trained dog standing on its two hind legs
a book standing on its end
a tight rope walker

A

a ball on the table

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69
Q

A line that meets a plane but is not perpendicular to it, in relation to the plane is

Asymptote
Oblique
Colinear
Hypotenuse

A

Oblique

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70
Q

A tetrahedron has _____ vertices.

6
8
5
4

A

4

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71
Q

A _____ is a three-dimensional diagonal figure with one base where all other faces are triangle that meet at one point.

Pyramid
Cone
Triangle
Cylinde

A

Pyramid

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72
Q

The altitude of the sides of a triangle intersect at the point known as

Circumcenter
Incenter
Centroid
Orthocenter

A

Orthocenter

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73
Q

In geometry, it is a construction or drawing of lines and figures the possibility of which is admitted without proof

Theorem
Axiom
Hypothesis
Postulate

A

Postulate

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74
Q

What is referred to the length of time which the property may be operated at a profit?

Physical life
Operating life
Economic life
Material life

A

Economic life

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75
Q

Heavy objects fall faster than light objects.

Planck’s theory
Aristotle’s theory
Galileo’s theory
Newton’s law

A

Aristotle’s theory

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76
Q

The most common unit of measure for angles is the

Diameter
Perimeter
Area
Degree

A

Degree

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77
Q

The significant digits of a given number ends with:

The last zero digit
The last non-zero digit
The final digit whether zero or not zero.
The last decimal digit.

A

The last decimal digit.

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78
Q

How do you call the two (2) events, if the outcome of one (1) event does not affect the probability of another event?

Dependent
Independent
Factorial
Probability

A

Independent

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79
Q

A number 0.123123123123 is:

Rational
Transcendental
Surd
Irrational

A

Rational

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80
Q

What is a measure of relationship between two variables?

Function
Equation
Correlation
Relation

A

Correlation

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81
Q

A statement of equality between two ratios.

Power factor
Valuation
Theorem
Proportion

A

Proportion

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82
Q

An algebraic expression consisting of three terms.

Trigonometric ratio
Trigonometric function
Trihedral angle
Trinomial

A

Trinomial

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83
Q

A number that exactly divided by two is

Odd
Real
Even
Original

A

Even

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84
Q

For any two triangles, if an angle of one triangle 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?

Complementary
Supplementary
Dissimilar
Similar

A

Similar

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85
Q

The fluid pressure is the same in all directions. This is known as

Bernoulli’s theorem
Archimedes principle
Ideal fluid principle
Pascal’s principle

A

Pascal’s principle

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86
Q

A space that is devoid of matter and which the pressure is zero

Inner space
Outer space
Black hole
Vacuum

A

Vacuum

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87
Q

The funds that are required to make the enterprise or project a going concern.

Banking capital
Present worth
Working capital
Principal

A

Working capital

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88
Q

If a=b, then b=a. This illustrates which axiom in Algebra.

Transitive axiom
Symmetric axiom
Reflexive
Replacement axiom

A

Symmetric axiom

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89
Q

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

Maintenance
Annuity
Depreciation recovery
Capital recovery

A

Depreciation recovery

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90
Q

The ______of a parallelogram is the distance from the base to the opposite side.

Face
Edge
Length
Height

A

Length

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91
Q

In what quadrants do the secant and cosecant of an angle have the same algebraic sign?

I and II
III and IV
II and IV
I and III

A

I and III

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92
Q

One British Thermal Unit is equivalent to how many calories?

316 cal
252 cal
225 cal
361 cal

A

252 cal

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93
Q

Part of theorem which is assumed to be true.

Hypothesis
Postulate
Axiom
Conclusion

A

Hypothesis

94
Q

What is a body or space bounded by surface every point of which is equidistant from a point within?

Spheroid
Circle
Sphere
Ellipsoid

A

Sphere

95
Q

The volume of a circular cylinder is equal to the product of its base and altitude.

Postulate
Axiom
Theorem
Corollary

A

Theorem

96
Q

In electrical, what is the SI unit of conductance?

Siemens
Ohm
Ampere
Darsho’s siemens

A

Siemens

97
Q

1 cubic foot of water = _____ pounds

32.2
62.4
9.81
9.7

A

62.4

98
Q

1 psi = _____ feet of head

32.2
1
2.31
8.33

A

2.31

99
Q

It is a sequence of numbers in which each term (except the first term is obtained from the previous by adding a constant known as the common difference.

Permutation
Geometric progression
Harmonic progression
Arithmetic progression

A

Arithmetic progression

100
Q

A falling object is said to reach terminal speed,

When it lands on the ground.
When there is no gravitational force acting on it.
When there is no air resistance acting on it.
When its air resistance equals the force of gravity on it.

A

When its air resistance equals the force of gravity on it.

101
Q

In trigonometry, one revolution is equal to, except

Pi radians
400 grads
400 gons
6400 mils

A

Pi radians

102
Q

It is the interest for an interest period is calculated on the principal plus total amount of interest accumulated in previous periods.

Interest rate
Effective rate
Compound interest
Simple interest

A

Compound interest

103
Q

How do you connect pump in series?

Different RMP
Different pressure
Same horsepower
Same gpm

A

Same gpm

104
Q

Each of the faces of a regular hexahedron is a:

Triangle
Square
Hexagon
Circle

A

Square

105
Q

An arc length, which is equal to the radius of the circle is called:

1 radian
1 pi radian
1 degree
2 pi radians

A

1 radian

106
Q

The study of motion without reference to the forces which causes motion is known as

Dynamics
Kinematics
Kinetics
Statics

A

Dynamics

107
Q

The method of depreciation where a fixed sum of money is regularly deposited at compound interest in a real or imaginary fund in order to accumulate an amount equal to the total depreciation of an asset at the end of the asset’s estimated life is known as:

Declining balance method
SOYD method
Straight line method
Sinking fund method

A

Sinking fund method

108
Q

It describes the size or quantity of the collections of objects like 1,2,3….1000 and so on & so forth.

Number
Ordinal number
Cardinal number
Exponent

A

Cardinal number

109
Q

The speed at which an exact model of the pump would have to run if it were designed to deliver 1 GPM against 1 feet head per stage

Peripheral speed
Transition speed
Same speed
Exact speed

A

Peripheral speed

110
Q

The point through which the resultant of the distributed gravity force passes regardless of the orientation of the body in space is known as:

Center of attraction
Center of inertia
Moment of inertia
Center of gravity

A

Center of gravity

111
Q

The loss of weight of a body submerged in a fluid is:

Proportional to the weight of the body
Proportional to the depth of submergence
Independent of the volume of the body
Equal to the weight of the fluid displaced

A

Equal to the weight of the fluid displaced

112
Q

Is the number that cannot be expressed into ratio of two integers.

Rational number
Irrational number
Complex number
Real number

A

Irrational number

113
Q

It is a triangle with two sides equal.

Scalene triangle
Isosceles triangle
Oblique triangle
Equilateral triangle

A

Isosceles triangle

114
Q

The area of the region bounded by two concentric circles is called:

Circular disk
Ring
Annulus
Washer

A

Annulus

115
Q

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?

15
12
20
18

A

18

116
Q

How many liters of water must be added to 1 liter of 35% boric acid solution in order to produce 20% boric acid solution?

0.5 liter
0.75 liter
1.0 liter
1.5 liter

A

0.75 liter
Total = Mixture
(1 + x) * 0.20 = (1 * 0.35) + (x * 0)
0.20 + 0.20x = 0.35
x = 0.75

117
Q

Which of the following is a prime number?

119
97
1
91

A

97 is not divisible by any other numbers than 1 and itself

118
Q

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?

14 mph
15 mph
13 mph
12 mph

A

14 mph

119
Q

It refers to the position relative to an ordering such as first, second, third etc.

Cardinal number
Number
Ordinal number
Exponent
Correct answer

A

Ordinal number

120
Q

The loss of weight of a body submerged in a fluid is:

Proportional to the weight of the body
Equal to the weight of the fluid displaced
Independent of the volume of the body
Proportional to the depth of submergence

A

Equal to the weight of the fluid displaced

121
Q

One Joule of work is done by a force of one Newton acting through a distance of:

1 m
1 ft
1 cm
1 in

A

1m

122
Q

What is the 50th term of the progression 3, 5, 7,9……

101
103
100
102

A

101

123
Q

Roll a pair of dice. What is the probability that the sum of two numbers is 11?

1/20
1/18
1/36
1/9

A

P = # of favorable outcomes/ # of possible outcomes
P = 2 faces/ (6 faces x 6 faces)
P = 1/18

124
Q

An instrument for measuring specific gravity of fluids:

Flowmeter
Hydrometer
Psyhcrometer
Hygrometer

A

Hydrometer

125
Q

It is the space between intersecting rays or lines.

Line
Revolution
Side
Angle

A

angle

126
Q

An angle more than 90° but less than 180°

Oblique angles
Full angle
Reflex angle
Obtuse angles

A

Obtuse angles

127
Q

Find the 25th terms of an A.P 5, 8, 11, 14

75
78
77
76

A

77

128
Q

It is calculated using principal only, ignoring any interest that had been accrued in preceding periods.

Effective rate
Simple interest
Interest rate
Compound interest

A

Simple interest

129
Q

According to Newton’s First Law of Motion,

An object at rest always remains at rest.
An object at rest eventually begins to move
An object in motion moves in a parabolic trajectory unless acted upon by net force.
An object at rest remains at rest unless acted upon by a net force.

A

An object at rest remains at rest unless acted upon by a net force.

130
Q

A method of depreciation whereby the amount to recover is spread over the estimated life of the asset in terms of the periods or units of output is called:

SOYD method
Declining balance method
Straight line method
Sinking fund method

A

Straight line method

131
Q

The study of motion without reference to the forces which causes motion is known as

Dynamics
Kinetics
Kinematics
Statics

A

Dynamics

132
Q

It is the interest for an interest period is calculated on the principal plus total amount of interest accumulated in previous periods.

Compound interest
Interest rate
Simple interest

A

Compound interest

133
Q

It is a sequence of numbers or quantities in which there is always the same relation between each quantity and the one succeeding it.

Rational number
Progression
Probability
Geometry

A

Progression

134
Q

It is the sum of real and imaginary numbers which expressed in “x+yi”.

Complex number
Rational number
Real number
Irrational number

A

Complex number

135
Q

The water pressure in a lake behind a dam depends on,

The distance from the dam at which the pressure is measured.
The depth below the surface at which the pressure is measured.
The volume of lake water behind the dam.
The surface area of the lake.

A

The depth below the surface at which the pressure is measured.

136
Q

Which of the following is not a vector quantity?

Velocity
Mass
Torque
Displacement

A

Mass

137
Q

Find the area of a regular hexagonal with perimeter 12

9.25
5.6
14.70
10.39

A

10.39

138
Q

The amount received from the sale of an additional unit of a product is termed as:

Marginal unit
Marginal revenue
Marginal cost
Marginal utility

A

Marginal revenue

139
Q

Joe and his dad are bricklayers. Joe can lay bricks for a wall in 5 days. With his father’s help, he can build it in 2 days. How long would it take his father to build it alone?

3-1/3 days
3-1/4 days
2-1/3 days
2-2/3 days

A

Joe’s Rate= 1/5
Joe + Father’s Rate = 1/2
Father’s Rate = 1/2 - 1/5 = 3/10

Time = 1/Rate
Time = 1/ (3/10)
Time = 3.33 days
3-1/3

140
Q

The area of the region bounded by two concentric circles is called:

Circular disk
Annulus
Washer
Ring

A

Annulus

141
Q

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?

10 hrs.
5 hrs.
15 hrs.
12 hrs.

A

10 hrs.

142
Q

The property of a fluid whereby its own molecule are united or attracted to each other is:

Adhesion
Pilot tube
Ideal fluid
Cohesion

A

Cohesion

143
Q

The reciprocal of bulk modulus of elasticity of any fluid is called:

Compressibility
Shape factor
Volume strain
Volume stress

A

Compressibility

144
Q

An arc length, which is equal to the radius of the circle is called:

2 pi radians
1 radian
1 degree
4 degrees

A

1 radian

145
Q

A line which is perpendicular to the x-axis has a slope equal to:

Zero
1
-1
Infinity

A

infinity

146
Q

Are angles which are non-right and nonstraight such as acute angles and obtuse angles.

Right angle
Reflex angles
Darsho’s angle
Oblique angles

A

Oblique angles

147
Q

The reciprocal of bulk modulus of elasticity of any fluid is called:

Volume strain
Volume stress
Shape factor
Compressibility

A

Compressibility

148
Q

The worth of property which is equal to the original cost less depreciation

Face value
Scrap value
Book value
Earning value

A

Book Value

149
Q

The weight of the substance per unit volume is,

Specific weight
Density
Force per unit
Mas

A

Specific Weight

150
Q

Is any positive integer (excluding 1) having no integral factors other than itself and unity.

Imaginary number
Ordinal number
Real number
Prime number

A

Prime Number

151
Q

The _____ of an object on the Earth’s surface are directly proportional to each other.

Acceleration and mass
Speed and velocity
Mass and weight
Velocity and force

A

Mass and weight

152
Q

Who was the first person of whose systematic use of trigonometry which have documentary evidence.

Galileo
Euclid
Hipparchus
Aristotle

A

Hipparchus

153
Q

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 remaining length of pipe he will have to install?

12
10
8
6

A

8

154
Q

The speedometer in your car tells you the _____ of your car.

Velocity
Acceleration
Instantaneous speed
Average speed

A

Instantaneous speed

155
Q

An accounting book where the original record of all transactions is ordinarily recorded.

Journal
Credit entry
Transaction record
Log book

A

Journal

156
Q

In how many ways can 6 distinct books be arranged in a bookshelf?

720
120
360
180

A

720

157
Q

The path of the projectile is

A hyperbola
An ellipse
A part of a circle.
A parabola

A

A parabola

158
Q

The product of force and the time during which it acts is known as:

Impact
Work
Momentum
Impulse

A

Impulse

159
Q

A book is at rest on top of a table. Which of the following is correct?

The book has no inertia.
There is no force acting on the book.
The book is in equilibrium.
There is no force acting on the table.

A

The book is in equilibrium.

160
Q

What do you call this laws or properties of equality in algebra, xy = yx ?

Associative Law of Multiplication
Commutative Law of Multiplication
Left Distributive Law
Right Distributive law

A

Commutative Law of Multiplication

161
Q

It is an ordered arrangement of any element in a set.

Permutation
Arithmetic progression
Combination
Probability

A

Permutation

162
Q

Are angles which are non-right and non-straight such as acute angles and obtuse angles.

Non Angle
Right angle
Reflex angles
Oblique angles

A

Oblique angles

163
Q

What do you call this laws or properties of equality in algebra, x + (- x) = 0 ?

Additive Inverse Property
Symmetric Property
Reflexive Property
Additive Identity Property

A

Additive Inverse Property

164
Q

A boat can travel 10 mile downstream and with the same time can travel 6 miles upstream. If the current of water is 3 mph, find the speed of a boat in still water

8 mph
12 mph
7 mph
9 mph

A

12 mph

165
Q

The amount received from the sale of an additional unit of a product is termed as:

Marginal unit
Marginal revenue
Marginal utility
Marginal cost

A

Marginal revenue

166
Q

Are opposite angles formed between two intersecting lines that are equal.

Vertices
Complementary angles
Explementary angles
Vertical angles

A

Vertical angles

167
Q

An instrument for measuring high temperature gases:

AnemometeR
Manometer
Plenometer
Pyrometer

A

Pyrometer

168
Q

Ian remodels a kitchen in 20 hours and Jack in 15 hours if they work together, how many hours would take them to remodel the kitchen?

7.5
12
8.6
5.6

A

8.6
Combined rate= 1/20 + 1/15 = 7/60
Time = 1/Rate = 1/(7/60)
Time = 8.57hrs

169
Q

It can be defined as the set of all points in the plane the sum of whose distance from two fixed points is a constant.

Circle
Ellipse
Parabola
Hyperbola

A

Ellipse

170
Q

The moon’s gravity is 1/6 of the Earth’s gravity. The weight of a bowling ball on the Earth would be _____ its weight on the moon.

36 times
6 times
Equal to
0

A

6 times

171
Q

It is the space between intersecting rays or lines.

Angle
Side
Line
Revolution

A

Angle

172
Q

It is a sequence of numbers in which the reciprocals form an arithmetic progression.

Permutation
Geometric progression
Arithmetic progression
Harmonic progression

A

Harmonic progression

173
Q

Pour index horsepower is how many foot lbs per minutes

33,333
30,000
33,000
30,333

A

33,000

174
Q

Momentum = Force x

Velocity2
½ velocity
Velocity
Time

A

time

175
Q

The reciprocal of density is,

Specific volume
Specific weight
Viscosity
Specific gravity

A

Specific volume

176
Q

What do you call this laws or properties of equality in algebra, (xy) * z = x(yz) ?

Associative Law of Multiplication
Right Distributive law
Commutative Law of Multiplication
Left Distributive Law

A

Associative Law of Multiplication

177
Q

An office has 60 employees. If 4 out of every 5 employees are married, how many married employees are there?

48
20
24
40

A

48

178
Q

A state of complete physical mental and social well-being and not merely the absence of disease or infirmity.

Vital statistics
Fitness
Health
Statics

A

Health

179
Q

It is calculated using principal only, ignoring any interest that had been accrued in preceding periods.

Compound interest
Interest rate
Simple interest
Effective rate

A

Simple interest

180
Q

It is a sequence of numbers, each of which each, after the first is obtained by multiplying the preceding term by a fixed number called the common ratio, known as the common difference.

Harmonic progression
Arithmetic progression
Geometric progression
Permutation

A

Geometric progression

181
Q

What do you call this laws or properties of equality in algebra, x + y = y + x ?

Associative Law of Addition
Left Distributive Law
Right Distributive law
Commutative Law of Addition

A

Commutative Law of Addition

182
Q

A plumber crossed a river 30m wide but current brought 40m beyond and farther to the opposite bank. What is the total distance travelled?

60 m
45 m
55 m
50 m

A

50m

183
Q

It is the branch of mathematics which deals with the study of formal manipulations of equations involving symbols and numbers.

Plane geometry
Trigonometry
Algebra
Arithmetic

A

Algebra

184
Q

What do you call this laws or properties of equality in algebra, x + (- x) = 0 ?

Symmetric Property
Additive Inverse Property
Additive Identity Property
Reflexive Property

A

Additive Inverse Property

185
Q

What is the sum of the progression 4, 9, 14, 19…… up to the 20th term?

1000
1010
1030
1020

A

1030

186
Q

Heat transmission carried by the movement of heated fluids away from a hot body, as in the heating of water by a hot surface:

Conduction
Convection
Absorption
Radiation

A

Convection

187
Q

Interest can be calculated in two ways: _____ or compound interest.

Simple interest
Effective interest
Nominal interest
Compound interest

A

Simple interest

188
Q

Is any positive integer (excluding 1) having no integral factors other than itself and unity.

Ordinal number
Imaginary number
Prime number
Real number

A

Prime Number

189
Q

The property of a moving object to continue moving is what Galileo called:

Speed
Acceleration
Inertia
Velocity

A

Inertia

190
Q

For every action there is an equal and opposite reaction. This is a statement of,

Newton’s First Law of Motion
Newton’s Law of Action
Newton’s Second Law of Motion
Newton’s Third Law of Motion

A

Newton’s Third Law of Motion

191
Q

If the polynomial x3 + 4x2 - 3x + 8 is divided by x - 5, what would be the remainder?

218
42
210
45

A

x^3 + 4x^2 - 3x + 8
x=5

(5)^3 + 4(5)^2 - 3(5) + 8
=218

192
Q

What is the sum of the first 25 terms of the progression 5, 8, 11, 14……

1027
1026
1025
1028

A

1025

193
Q

It is a triangle with two sides equal.

Isosceles triangle
Oblique triangle
Scalene triangle
Equilateral triangle

A

Isosceles triangle

194
Q

The first term of an AP is 2 and the 6th term is 12. Find the sum of the first 12 terms

157
158
155
156

A

156

195
Q

The mass of the substance per unit volume is,

Specific weight
Force per unit
Specific gravity
Density

A

Density

196
Q

It is a sequence of numbers in which the reciprocals form an arithmetic progression.

Harmonic progression
Arithmetic progression
Geometric progression
Permutation

A

Harmonic progression

197
Q

How many times does the digit 6 occur in the numbers from 1 to 100?

A

20

198
Q

A runner moving at a speed of 8.45m/s rounds a bend with a radiues of 25m. What is the centripetal acceleration of the runner?

A

Ac= v^2/r = 2.856m/s2

199
Q

An airplane flying with the wind took 2 hours to travel 1000km and 2.5hrs to flyback. What was the wind’s velocity in Kph?

A

1000= 2(a+w)
1000=2.5(a-w)
a=450 kph
w=50 kph

200
Q

The point through which the resultant of the distributed gravity force passess regardlss of the orientation of the body in space is know as:

A

Center of Gravity

201
Q

In a seesaw, a child of 23 g is at one end and another has a mass of 18 kg ath the other. Find the distance of the second child to balance the seesaw, if the first child is at 2 meters from the center.

A

18(X)=23(2)
X=2.56 mtrs

202
Q

Two children sit on a see-saw which is 8 m long and pivoted on an axis at its center. The first child has a mass of 21 kg and sits at the left end of the see-saw, while the second child has a mass of 38 kg and sits somewhere on the see-saw to the right of the axis. at what distance from the axis should the second child sit to keep the see-saw horizontal?

A

21(4)=38(X)
X=2.21 mts

203
Q

Three children sit on a see-saw which is 12 m long and pivoted on an axis at its center. The first child has a mass of 28kg and sits at the left end of the see-saw, while the second child has a mass of 27kg and sits 4m from the center, the third child 52 kg sits X distance to the other end. at what distance from the center should the third child sit to keep the see-saw balance?

A

(28)(6)+27(4)=52(X)
X=5.13 mtrs

204
Q

two or more equations are equal if and only if they have the same.

A

Solution set

205
Q

Napier’s rule states that the sine of any middle part is equal to the product of the ____ of the opposite parts.

A

Cosine
hint: if Napiers sine word answer is cosine

206
Q

The difference of the squares of the digits of two digit positive number is 27. If the digits are reservsed in order and the resulting number subtracted from the original number, the diffrence is also 27, find the original number.

A

xy
x^2-y^2=27
xy-yx=27

Answer 63
hint: use the choices

207
Q

it is the sum of real and imaginary numbers which expressed in “x+yi”.

A

Complex Number

208
Q

Engr. Lontok bought a new pump for his house. The pump can suck 80 gallons of water per minute.How many gallons can it suck in an hour?

A

80 gal/min x 60 min/hr = 4800 gal/hour

209
Q

If the numerator of a fraction is doubled and the denominator is increased by 7, the value becomes 2/3. If the denominator is doubled and the numberator is increased by 2, the value becomes 3/5. find the original fraction?

A

2x/(y+7) = 2/3
(x+2)/2y = 3/5
hint: use the choices
4/5 answer

210
Q

Ross is 20 years younger than chandler. In two years chandler will be twice as old as Ross. How old is Ross Now?

A

let R = Ross
let C=Chandler
current | future 2 years
C-20 | C-20+2
C | C+2
solutions:
c+2=(c-20+2)2
c=38
R=18 yrs old

hint: equate current and future

211
Q

Bryan is 12 years older than princess. Five years ago, the sum of their ages was 28. How old are they now?

A

let B = Bryan
let P= Princes
current | ago 5 years
princes B-12 | (B-12)-5
Bryan B | B-5
solutions:
(B-12-5)+(B-5)=28
B=25 yrs old

hint: equate current and future

212
Q

Father is four times the age of his daughter. If after 5 years, he would be three times of daughter’s age, then further after 5 years, how many times he would be of his daughter’s age?

A

daugther =x
father =4x

4x+5 =3(x+5)
x=10
F=40
50/20 = 2.5X

213
Q

The sum of the ages of nicole and kevin is 32. In two years, Nicole will be three times as old as kevin. How old are they now?

A

CURRENT | +2 YEARS
K 32-N | 32-N+2
N N | N+2
3(32-N+2)=(N+2)
N= 25
K=7

214
Q

After 15 years Rubilyn’s age will be 5 times heres age 5 years ago. What is the present age of Rubilyn?

A

5 yrs ago| Rubilyn now | in 15 years
x-5 | x | x+15
5(x-5)=x+15
x=10

215
Q

Zayn is 26 years old. Her late registered daughter Alice Gou is 4 years old. In how many years will Zayn be double here daughter’s age?

A

18 years

216
Q

One year ago, the ratio of Fil and Clain age was 2:3 respectively. After five years from now, this ratio becomes 4:5. How old is claire now?

A

Fil 2x | 2x+1 | 4x
claire 3x |3x+1 | 5x
2x+1+5=4x
3x+1+5 = 5x
x=10

217
Q

Stich is 50 years old and Lilo is 40 years old. How long ago was the ratio of their ages 3:2?

A

now | before
stitch | 50 | 3x
lilo |40 | 2x
(50-X)/(40-X) = 3/2
x=20

218
Q

3M/2N =125, What is the value of N in terms of M?

A

3M/250=N

219
Q

Minimum number if incorporators in order for corporation to be organized?

A

5

220
Q

Additional information of prospective bidders on contract documents issued prior to bidding date

A

Bid Bulletin

221
Q

A ball has a mass of 10kg, suppose it travels at 100m/s. Find the kinetic energy possessed by it.

A

KE=1/2 MV^2
50,000 JOULES

222
Q

A box of 50 newton of weight is brought by a boy from a to b and then brought back to a. solve for the work done?

A

0 displacement
work=force x displacement kay g balik man

223
Q

Joe’s pushes the box 5 meters in 3 seconds with a constant force of 12N, solve for the work done.

A

60

224
Q

what is joes power output as he pushes the box 5 meters in 3 seconds with a constant force of 12N?

A

power = work/time
20 W

225
Q

How much work would be done if 12N of force was applied on an object at an angle of 25 degree above the horizon to move an object 5 meters horizontally.

A

54.38 JOULES

226
Q

A 1500kg rocket has a net force of 350N. Over a short period of time, the rocketspeeds up uniformly from an initial velocity of 45m/s to a final velocity of 60m/s.Assume that the mass of the rocket remains constant even though it is burning fuel and that the net force is along the direction of travel. What is the net work done on the rocket in kJ?

A

1181.25 KJ

227
Q

if 5x^3 -14x + 3 divided by x-2 the remainder is?

A

15

228
Q

if x varies directly as y and inversely as z, and x=14, when y=7 and z=2, find x when y=16 and z =4

A

16

229
Q

Harvey can finish the compilation job in 4 days. Louise Litt can finish the same compilation jon in 5 days. How many days would it take to finish the compilation if they will work together?

A

2.22 days

230
Q

The product of force and the time during which it acts is known as:

A

Impulse

231
Q

A certain job can be done by 72 men in 100 days. There were 80 men at the start of the project but after 40 days, 30 of them had to be transferred to another project. How long will it take the remaining workforce to complete the job?

A

80

Plumbing Refreshers (8 decks)

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