arithmetic Flashcards

1
Q

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

a. BTU
b. Specific heat
c. Latent heat
d. Relative heat

A

BTU

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2
Q

The system of refrigeration which uses heat energy to change the
condition required in the refrigeration cycle

a. Absorption refrigeration
b. Steam-jet refrigeration
c. Ice refrigeration
d. Vapor refrigeration

A

Absorption refrigeration

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3
Q

The temperature of air that has gone through an adiabatic
saturation process:

a. Kelvin temperature
b. Boiling temperature
c. Dew point temperature
d. Wet bulb temperature

A

Wet bulb temperature

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4
Q

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

a. Gas dynamics
b. Thermodynamics
c. Psychrometrics
d. Atmosphere

A

Psychrometrics

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5
Q

Entropy is the measure of:

a. the change in enthalpy in the system
b. the heat capacity of the substance
c. randomness or disorder
d. 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:

a. Conduction
b. Absorption
c. Convection
d. Radiation

A

Radiation

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7
Q

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

a. intensifies deterioration temporarily
b. inhibits further deterioration
c. changes the composition of metal
d. alters the grain size of the metal

A

inhibits further deterioration

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8
Q

If an initial volume of an ideal gas is compressed to one-half the
original volume and to twice its original temperature, the
pressure:

a. doubles
b. quadruples
c. remains constant
d. halves

A

quadruples

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9
Q

Which of the process where work done is zero?

a. Isentropic
b. Polytropic
c. Isometric
d. Isobaric

A

Isometric

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10
Q

One horsepower is equivalent to:

a. 746 watts
b. 7460 watts
c. 74.6 watts
d. 7.46 watts

A

746 watts

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11
Q

The energy that changes the phase of a substance:

a. Specific
b. Fusion
c. Latent
d. Sensible

A

Latent

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12
Q

The SI unit of temperature is:
a. oF
b. oK
c. oR
d. BTU

A

oK

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13
Q

The SI unit of power is:
a. Joule
b. Pascal
c. Newton
d. Watt

A

Watt

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14
Q

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

a. 373
b. 273
c. 237
d. 406

A

273

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15
Q

The pressure reading of 35 psi in kPa abs is:

a. 342.72
b. 724.00
c. 273.40
d. 427.30

A

342.72

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16
Q

1 torr is equivalent to a pressure of:

a. 1 atmosphere
b. 2 mm Hg
c. 147 psia
d. 1/760 atmosphere

A

1/760 atmosphere

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17
Q

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

a. Barometer
b. Mercure manometer
c. Psychrometer
d. Hydrometer

A

Barometer

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18
Q

Time rate of doing work

a. Power
b. Heat
c. Energy
d. Work rate

A

Power

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19
Q

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

a. -35 degrees
b. -40 degrees
c. -45 degrees
d. -30 degrees

A

-40 degrees

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20
Q

What is the recorded current value of an asset?

a. Salvage value
b. Book value
c. Present worth
d. Scrap value

A

Book value

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21
Q

What do you call a currency traded in a foreign exchange market for which the demand is consistently high in relation to its supply?

a. Certificate of deposit
b. Money market
c. Hard currency
d. Treasury bills

A

Hard currency

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22
Q

What is the scrap value of an asset?

a. Book value
b. Future value
c. Salvage value
d. Replacement value

A

Salvage value

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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?

a. Franchise value
b. Fair value
c. Goodwill value
d. Market value

A

Fair value

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24
Q

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

a. Capital expenditure
b. Capital gain
c. Capital stock
d. Profit

A

Capital gain

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25
Liquid assets such as cash and other assets that can be converted quickly into cash, such as accounts receivables and merchandise is called: a. Land and buildings b. Total assets c. Current d. Fixed assets
Current assets
26
What is the form of fixed-interest governments, companies, banks or other institutions? They are usually a form of long-term security, but may be irredeemable secured or unsecured? a. Certificate of deposits b. Bonds c. Stock d. T-bills
Bonds
27
The estimated value at the end of the useful life: a. Compounded annually b. Salvage value c. Face value d. Economic life
Salvage value
28
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? a. Effective rate b. Nominal rate c. Yield d. Rate of return
Rate of return
29
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? a. Law of diminishing return b. Law of supply c. Law of demand d. Law of supply and demand
Law of diminishing return
30
What is the market situation wherein there is only one seller with many buyers? a. Monopoly b. Monopsony c. Oligopoly d. Oligopsony
Monopoly
31
It is a depreciation method whereby the decrease in value of the unit does not change each year. a. Sinking fund method b. Matheson method c. SYD method d. Straight line method
Straight line method
32
Each period, two type of financial statements are typically generated. These are: a. Common size financial statement b. Statement of changes in financial position c. Cost of sales statements d. Balance sheet and the profit and loss statements
Balance sheet and the profit and loss statements
33
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? a. Sinking fund method b. Straight line method c. SYD method d. Declining balance method
Sinking fund method
34
A depreciation model where the value of an asset decreases at a decreasing rate: a. Sinking fund b. Straight line c. SYD d. Declining balance
Declining balance
35
A formal organization of producers within an industry forming a perfect collusion purposely formed to increase profit and block new comers from the industry. a. Cartel b. Monopoly c. Corporation d. Mafia
Cartel
36
The hire of any person to do whatever work he is skilled in doing: a. Promotion cost b. Material cost c. Salary cost d. Labor cost
Labor cost
37
It is a sharp sudden increase in money or credit or both without corresponding increase in business transactions. a. Deflation b. Subrogation c. Inflation d. Resultant
Deflation
38
The decrease in value of a certain property due to the gradual extraction of its contents: a. Depreciation b. Diminishing returns c. Depletion d. Depression
Depletion
38
Which of the following is NOT considered? a. Manufacturing cost b. Profit and loss statement c. Schedule expenses d. Balance sheet
Schedule expenses
39
A measure of how much a product costs to make. a. Net expense b. Sales c. Gross margin d. Gross sales
Gross margin
40
Reduction in the level of national income and output usually accompanied by a fall in the general price level. a. Deflation b. Inflation c. Devaluation d. Depreciation
Deflation
41
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
Bank note
42
Pricing strategy that charges the customer different prices for the same product or service. a. Price war b. Price manipulation c. Price discrimination d. Price escalation
Price discrimination
43
Isotopes differ in ______. a. Number of protons b. Number of neutrons c. Number of bonds d. Number of electrons
Number of neutrons
44
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. a. 3 feet b. 4 feet c. 5 feet d. 6 feet
4 feet
45
It is an accounting book where the records of all the transaction is recorded. a. Log book b. Credit entry c. Journal d. Transaction record
Journal
46
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? a. 275 b. 300 c. 325 d. 350
325
47
Chemical symbol for Cesium. a. Ce b. Cm c. Cs d. Cu
Cs
48
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 is 12 m. a. 674 m3 b. 1404 m3 c. 1604 m3 d. 1904 m3
1904 m3
49
A Roman numeral M is equivalent to a. 1000 b. 500 c. 100 d. 50
1000
50
0.50 in its fraction form is a. 1⁄2 b. 1⁄4 c. 3/8 d. 3⁄4
1/2
51
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? a. P7,206 b. P9,504 c. P10,204 d. P15,308
P10,204
52
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. a. Collateral trust bond b. Debenture bond c. Joint bond d. Mortgage bond
Debenture bond
53
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. a. Collateral trust bond b. Collateral trust certificate c. Collateral trust note d. All of the above
Collateral trust bond
54
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. a. Collateral trust bond b. Debenture bond c. Joint bond d. Mortgage bond
Mortgage bond
55
A ______, 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. a. Collateral trust bond b. Debenture bond c. Joint bond d. Mortgage bond
Joint bond
56
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. a. Dividend b. Equity c. Return on investment d. Par value
Dividend
57
It represents the amount of money that would be returned to a company’s shareholders if all of the assets were liquidated and all of the company's debt was paid off. a. Dividend b. Equity c. Return on investment d. Par value
Equity
58
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. a. Dividend b. Equity c. Return on investment d. Par value
Par value
59
It is a performance measure used to evaluate the efficiency of an investment or compare the efficiency of a number of different investments. a. Dividend b. Equity c. Return on investment d. Par value
Return on investment
60
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. a. Progressive annuity b. Deferred annuity c. Simple annuity d. Delayed annuity
Deferred annuity
61
When an imaginary number is raised to an even exponent it becomes what? a. Infinite b. Relatively small number c. Negative imaginary number d. Real number
Real number
62
Cost of things that are neither labor or materials. a. Expenses b. Investments c. Labor cost d. Construction cost
Expenses
63
The sum of two consecutive even integers is n. what is the sum of the next two integers greater than n? a. 2n + 4 b. 2n + 3 c. 2n + 2 d. n + 5
2n + 3
64
The number of several outcomes divided by the number of possible outcomes is: a. Probability b. Permutation c. Combination d. Change
Probability
65
Is one where the payments are made at the end of each period a. Ordinary annuity b. Perpetuity c. Annuity due d. Deferred annuity
Ordinary annuity
66
A prime number has exactly how many divisors? a. 2 b. 4 c. 3 d. 1
2
67
Overall profit, sales less cost of goods sold, as a percentage of sales is _______. a. Net income b. Rate of return c. Profit margin d. Gross margin
Gross margin
68
Find the equation of the family of lines in which the slope and the y-intercept are equal. a. y' = y/ (x + 1) b. y’ = x + y c. y’ = x/y d. y’ = y/x
y' = y/ (x + 1)
69
What is an association of two or more persons for a purpose of engaging in a profitable business? a. Sole proprietorship b. Enterprise c. Partnership d. Corporation
Partnership
70
An example of neutral equilibrium would be? a. a ball on the table b. a trained dog standing on its two hind legs. c. a book standing on its end d. a tight rope walker
a ball on the table
71
A line that meets a plane but is not perpendicular to it, in relation to the plane is ______. a. Asymptote b. Oblique c. Colinear d. Hypotenuse
Oblique
72
A tetrahedron has ______ vertices. a. 6 b. 8 c. 5 d. 4
4
73
A ______ is a three-dimensional diagonal figure with one base where all other faces are triangle that meet at one point. a. Pyramid b. Cone c. Triangle d. Cylinder
Pyramid
74
The altitude of the sides of a triangle intersect at the point known as ______. a. Circumcenter b. Incenter c. Centroid d. Orthocenter
Orthocenter
75
In geometry, it is a construction or drawing of lines and figures the possibility of which is admitted without proof. a. Theorem b. Axiom c. Hypothesis d. Postulate
Postulate
76
What is referred to the length of time which the property may be operated at a profit? a. Physical life b. Operating life c. Economic life d. Material life
Economic life
77
Heavy objects fall faster than light objects. a. Planck’s theory b. Aristotle’s theory c. Galileo’s theory d. Newton’s law
Aristotle’s theory
78
The most common unit of measure for angles is the _______. a. Diameter b. Perimeter c. Area d. Degree
Degree
79
Kinematic viscosity is an SI derivative unit described as ______. a. Newton per meter b. Pascal second c. Square meter per second d. Watt meter Kelvin
Square meter per second
80
The significant digits of a given number ends with: a. The last zero digit. b. The last non-zero digit. c. The final digit whether zero or not zero. d. The last decimal digit.
The last decimal digit.
81
How do you call the two (2) events, if the outcome of one (1) event does not affect the probability of another event? a. Dependent b. Independent c. Factorial d. Probability
Independent
82
A number 0.123123123123 is: a. Rational b. Transcendental c. Surd d. Irrational
Rational
83
What is a measure of relationship between two variables? a. Function b. Equation c. Correlation d. Relation
Correlation
84
A statement of equality between two ratios. a. Power factor b. Valuation c. Theorem d. Proportion
Proportion
85
An algebraic expression consisting of three terms. a. Trigonometric ratio b. Trigonometric function c. Trihedral angle d. Trinomial
Trinomial
86
A number that exactly divided by two is _______. a. Odd b. Real c. Even d. Original
Even
87
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? a. Complementary b. Supplementary c. Dissimilar d. Similar
Similar
88
The fluid pressure is the same in all directions. This is known as _______. a. Bernoulli’s theorem b. Archimedes principle c. Ideal fluid principle d. Pascal’s principle
Pascal’s principle
89
A space that is devoid of matter and which the pressure is zero. a. Inner space b. Outer space c. Black hole d. Vacuum
Vacuum
90
The funds that are required to make the enterprise or project a going concern. a. Banking capital b. Present worth c. Working capital d. Principal
Working capital
91
If a=b, then b=a. This illustrates which axiom in Algebra. a. Transitive axiom b. Symmetric axiom c. Reflexive d. Replacement axiom
Symmetric axiom
92
The present worth of all depreciation over the economic life of the item is called _______. a. Maintenance b. Annuity c. Depreciation recovery d. Capital recovery
Depreciation recovery
93
The ________ of a parallelogram is the distance from the base to the opposite side. a. Face b. Edge c. Length d. Height
Length
94
In what quadrants do the secant and cosecant of an angle have the same algebraic sign? a. I and II b. III and IV c. II and IV d. I and III
I and III
95
One British Thermal Unit is equivalent to how many calories? a. 316 cal b. 252 cal c. 225 cal d. 361 cal
252 cal
96
Part of theorem which is assumed to be true. a. Hypothesis b. Postulate c. Axiom d. Conclusion
Axiom
97
What is a body or space bounded by surface every point of which is equidistant from a point within? a. Spheroid b. Circle c. Sphere d. Ellipsoid
Sphere
98
The volume of a circular cylinder is equal to the product of its base and altitude. a. Postulate b. Axiom c. Theorem d. Corollary
Theorem
99
In electrical, what is the SI unit of conductance? a. Siemens b. Ohm c. Ampere d. Darsho’s siemens
Siemens
100
If you have a 25 mm Φ pipe, but you are to use 75mm Φ pipe, how many smaller pipes are you going to use to make it equal? a. 5 b. 8 c. 9 d. 10
9
101
1 cubic foot of water = ____ pounds a. 32.2 b. 62.4 c. 9.81 d. 9.79
62.4
102
1 psi = ____ feet of head a. 32.2 b. 1 c. 2.31 d. 8.33
2.31
103
It refers to the number used to state the position of individual objects in sequence. a. Cardinal number b. Ordinal number c. Rational number d. Irrational number
Ordinal number
104
It refers to the number used to count the objects or ideas in a given collection. a. Cardinal Number b. Ordinal Number c. Surd d. Numerals
Cardinal Number
105
A rectangle reservoir has the following dimensions, L = 4m; W = 2m; H = 3m. What is the maximum volume it can hold? a. 24,000 li b. 24 cm3 c. 24 cu. ft. d. 1000 li
24,000 li
106
What is the effective rate corresponding to 18% compounded daily? 1 year = 365 days a. 16.72% b. 17.72% c. 18.72% d. 19.72%
19.72%
107
The sum of the interior angles of a polygon is 540°. Determine the number of sides. a. 4 b. 5 c. 6 d. 7
5
108
Three forces are in equilibrium, 20N, 30N and 40N respectively. What is the angle between the 30N and the 40N forces? a. 28.96° b. 30.66° c. 34.76° d. 40.16°
28.96°
109
A mango falls from the branch 5 meters above the ground. With what speed does it strike the ground? a. 7.7 m/s b. 8.8 m/s c. 9.9 m/s d. 11.11 m/s
9.9 m/s
110
What is the sum of 3, 6, 9, 12,......,171? a. 4959 b. 2584 c. 3265 d. 1256
4959
111
If the car’s acceleration is 2 m/s2, what is the speed in 4 seconds if started at rest? a. 4 m/s b. 8 m/s c. 12 m/s d. 14 m/s
8 m/s
112
A city of 25,000 uses 15 gallons of water per capita per day. If it is required to raise this water 150 feet, what is the number of horsepower required? a. 8 b. 10 c. 12 d. 14
10
113
The average horsepower required to raise a 150 kg of drum to a height of 20 m over a period of one minute is ______. a. 1.12 hp b. 0.41 hp c. 0.81 hp d. 0.66 hp
0.66 hp
114
A flow of 300 gpm is pumped against a head of 70 feet. What is the Water HP? a. 5.3 hP b. 4.3 hP c. 2.3 hP d. 6.3 hP
5.3 Hp
115
A flow of 450 gpm is pumped against a head of 120 feet. What is the Water HP? a. 10.47 hP b. 11.25 hP c. 12.36 hP d. 13.64 hP
13.64 hP
116
A flow of 200 gpm is pumped against a head of 25 feet by a pump that is 75% efficient. What is the Brake HP? a. 1.26 hP b. 0.95 hP c. 1.68 hP d. 2.05 hP
1.68 hP
117
A flow of 300 gpm is pumped against a head of 75 feet by a pump that is 70% efficient. What is the Brake HP? a. 9.12 hP b. 8.12 hP c. 7.12 hP d. 6.12 hP
8.12 hP
118
A flow of 225 gpm is pumped against a head of 75 feet. The pump is 70% efficient and the motor is 80% efficient. What is the Motor HP? a. 7.61 hP b. 5.32 hP c. 6.09 hP d. 4.26 hP
7.61 hP
119
A flow of 125 gpm is pumped against a head of 100 feet. The pump is 65% efficient and the motor is 89% efficient. What is the Motor HP? a. 5.46 hP b. 4.86 hP c. 3.55 hP d. 3.16 hP
5.46 hP
120
A certain angle has as supplement 5 times its complement. What is the angle? a. 37.5° b. 67.5° c. 87.5° d. 47.5°
67.5°
121
What is the value of each angle of a regular dodecagon? a. 120° b. 140° c. 130° d. 150°
150°
122
How many sides has a polygon if the sum of the interior angles is 1080°? a. 6 sides b. 7 sides c. 8 sides d. 9 sides
8 sides
123
The sum of the interior angles of a polygon is 540°. Find the number of sides. a. 5 sides b. 7 sides c. 6 sides d. 9 sides
5 sides
124
Find the sum of the interior angles of the vertices of a five- pointed star inscribed in a circle. a. 180° b. 270° c. 540° d. 30°
180°
125
How many sides are in a polygon if each interior angle is 165 degrees? a. 12 sides b. 14 sides c. 16 sides d. 24 sides
24 sides
126
How many diagonals are there in a polygon of 20 sides? a. 12 diagonals b. 120 diagonals c. 17 diagonals d. 170 diagonals
170 diagonals
127
Find each interior angle of a hexagon. a. 120° b. 140° c. 130° d. 150°
120°
128
6 x 2 + 5 x 3 = a. 51 b. 27 c. 180 d. None of these
27
129
Kenny did 25 pushups. His older brother, Sal, did twice as many pushups as Kenny. Then, their oldest sister, Natalie, did 10 more pushups than Sal. How many pushups did the three children do altogether? a. 115 b. 125 c. 135 d. 145
135
130
The expression |2 − 14| − |−25| is equal to: a. 41 b. 37 c. 16 d. -13
-13
131
John weighs 90 lbs. and Jane 60 lbs., they are both seating on a seesaw. If John is seated 10 feet away from Jane, how far should John be from the fulcrum of the seesaw? a. 6 b. 4 c. 7 d. 5
4
132
John wants to move a 400 lb. rock with a 5 ft. 9 in. crowbar. He puts the fulcrum 9 inches from the rock. How much force must he use to move the rock? a. 30 lb. b. 40 lb. c. 50 lb. d. 60 lb.
60 lb.
133
Danny is 60 lb, Maria is 40 lb, both are balanced on seesaw that is 10 ft. If the fulcrum is x ft away from Danny, what is x? a. 6 ft b. 4 ft c. 3 ft d. 7 ft
4 ft
134
John, Peter and Jane weigh 80, 60 and 50 lbs respectively. John sits 3 ft.; Peter sits 5 ft. and Jane sits 6 ft. from the fulcrum on the same side. How far must their 200 lb. father sits from the fulcrum in order to balance them? a. 1.2 ft b. 2.2 ft c. 3.2 ft d. 4.2 ft
4.2 ft
135
p(x) = 3(x2 + 10x + 5) - 5(x - k). In the polynomial p(x), k is a constant. If p(x) is divisible by x, what is the value of k? a. -3 b. -2 c. 0 d. 3
-3
136
Find the nominal rate which if converted semi-annually could be used instead of 11.55% compounded quarterly? a. 11.06% b. 11.72% c. 11.39% d. 12.72%
11.72%
137
Two consecutive even integers have the sum of 90. What are the two integers? a. 44, 46 b. 42, 48 c. 43, 47 d. 40, 50
44, 46
138
Find the area of a regular pentagon whose side is 25m and the apothem is 17.2m? a. 1075 m2 b. 1570 m2 c. 750 m2 d. 1750 m2
1075 m2
139
An electric machine uses 300J of energy to do work in 10 seconds. How much power does it uses? a. 45 watts b. 30 watts c. 35 watts d. 40 watts
30 watts
140
A 10 kg block is raised vertically by 3 meters. What is the change in potential energy? a. 942 joules b. 249 joules c. 294 joules d. 924 joules
294 joules
141
If the full load current of an electric water heater is proportional to its rated KW rating and inversely proportional to the voltage. What would be its full load current if it is rated 3600 watts 220 volts single phase 60 Hz? a. 16.36 Amps b. 15.36 Amps c. 18.36 Amps d. 15.46 Amps
16.36 Amps
142
A vertical cylindrical tank has a height of 10 ft and 10 inches. Its diameter is 4 ft and 2 inches. It is filled with water up to 7 ft and 6 inches from the base. What is the approximate volume of water in the tank expressed in gallons? a. 765 gal b. 1105 gal c. 567 gal d. 1510 gal
765 gal
143
What is the greatest common factor of 56 and 70? a. 12 b. 14 c. 13 d. 15
14
144
If a sump pump can suck 50 gallons of water every thirty seconds, how many gallons of water can it suck in one hour? a. 6000 b. 7500 c. 9000 d. 3000
6000
145
The pressure at the base of a column of water 1-inch high is approximately ______. a. 4.335 psi b. 0.434 psi c. 2.31 psi d. 0.036 psi
0.036 psi
146
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. 329 yards d. 392 yards
932 yards
147
From a speed of 75 kph, a car decelerates at the rate of 500 m/min2 along a straight path. How far in meters will it travel in 45 seconds? a. 791 m b. 793 m c. 795 m d. 797 m
797 m
148
A car starting at initial velocity of 30 kph travels a distance of 21 km in 18 minutes. Determine the acceleration of the car at this instant? a. 0.021 m/s2 b. 0.031 m/s2 c. 0.041 m/s2 d. 0.051 m/s2
0.021 m/s2
149
A ball is dropped from a building 100 m high. If the mass of the ball is 10 g after what time will the ball strike the earth? a. 3.42 s b. 4.56 s c. 4.52 s d. 3.67 s
4.52 s
150
A ball is dropped from the roof of a building 40 meters tall. It will hit the ground with a velocity of a. 26 m/s b. 28 m/s c. 30 m/s d. 32 m/s
28 m/s
151
A ball is thrown vertically upward from the ground and a student gazing out of the window sees it moving upward pass him at 5m/s. The window is 10 meter above the ground. How high does the ball go above the ground? a. 9.81 m b. 11.3 m c. 12.7 m d. 15.2 m
11.3 m
152
A baseball is thrown from a horizontal plane following a parabolic path with an initial velocity of 100 m/s at an angle of 30° above the horizontal. How far from the throwing point will the ball attain its original level? a. 633 m b. 733 m c. 833 m d. 933 m
833 m
153
The muzzle velocity of a projectile 1500 ft/s and the distance of the target is 10 miles. The angle of elevation of the gun must be a. 24.54° b. 26.32° c. 30° d. 45°
24.54°
154
A projectile leaves a velocity of 50 m/s at an angle of 30° with the horizontal. Find the maximum height it could reach. a. 30.85 m b. 31.86 m c. 35.24 m d. 37.85 m
31.86 m
155
A stone is thrown vertically upward at an angle of 30° with the horizontal. It lands 60 m measured horizontally and 2m below measured vertically from its point of release. Determine the initial velocity of the stone. a. 15.33 m/s b. 17.86 m/s c. 25.35 m/s d. 27.72 m/s
25.35 m/s
156
A plumbing tool costs ₱ 8,000 and an estimated life of 10 years with a salvage value of ₱ 500. What is the book value after 8 years using straight line method? a. ₱ 3,000 b. ₱ 2,500 c. ₱ 2,000 d. ₱ 3,500
₱ 2,000
157
Convert the expression (3a + 2b)2 into a polynomial. a. 9a2 + 6ab + 4b b. 3a2 + 6ab + 4b2 c. 4a2 + 12ab + 9b2 d. 9a2 + 12ab + 4b2
9a2 + 12ab + 4b2
158
Find the area of the square if the coordinates of the vertices of the square (0,6), (6,0), (0,-6) and (-6,0). a. 144 square units b. 72 square units c. 108 square units d. 36 square units
144 square units
159
If the lengths of the two side of a right triangle are 4 and 7, then the length of the third side is less than _______. a. 7 b. 3 c. 11 d. 4
11
160
5 + 5 x 2 is equal to ______. a. 5 b. 12 c. 15 d. 20
15
161
How many kilowatts is 500 horsepower? a. 22.7 b. 373 c. 337 d. 37.3
373
162
The sides of a regulation football field measure 120 yards and about 53.3 yards. About how far does a person have to walk to go all the way around a regulation football field? a. 246.6 yd b. 173.3 yd c. 6,396 yd d. 346.6 yd
346.6 yd
163
The cross-sectional area of a small pipe at point A is 6 square centimeters and at another point B is 2 square centimeters. If the velocity of the flowing liquid at A is 1 m/s, what is the velocity at B? a. greater than 5 m/s b. 3 m/s c. less than 1 m/s d. the same at point A
3 m/s
164
If you borrowed ₱ 10,000 from a bank with 18% interest per annum, what is the total amount to be repaid at the end of one year? a. ₱ 19,100 b. ₱ 12,400 c. ₱ 11,800 d. ₱ 15,500
₱ 11,800
165
How many times do the hand of a clock be at right angles in a day? a. 24 times b. 44 times c. 22 times d. 48 times
44 times
166
One nautical mile is a. 5280 ft b. 6280 ft c. 1.256 statute mile d. 1.85 km
1.85 km
167
How many cubic feet is equivalent to 100 gallons of water? a. 13.37 b. 12.27 c. 11.17 d. 10.07
13.37
168
What is the number of board feet in a plank 3” thick, 1 foot wide and 20 feet long? a. 40 b. 50 c. 60 d. 80
60
169
The acceleration due to gravity in English unit is a. 9.81 m/s b. 32.2 ft/s c. 32.2 ft/s2 d. 9.81 ft/s2
32.2 ft/s2
170
A line on a map was drawn at a scale of 5:100,000. If a line in the map is 300 mm long, what is the actual length of the line? a. 6000 km b. 60 km c. 6 km d. 6 m
6 km
171
The scale on the map is 1:x. A lot having an area of 700 m2 is represented by an area of 35 cm2 on the map. What is the value of x? a. 447.21 b. 20 c. 1000 d. 337.33
447.21
172
What is the LCF of 10 and 16 a. 160 b. 2 c. 320 d. 32
2
173
How many minutes after 3pm will the minute hand of a continuously driven clock be together? a. 16 4/11 minutes b. 4/11 minutes c. 14 11/12 minutes d. 12 14/17 minutes
16 4/11 minutes
174
How many minutes after 10 o’clock will the hands of the clock be opposite each other for the first time? a. 21.41 b. 21.61 c. 21.81 d. 22.11
21.81
175
Two liters of a gas is at 740mmHg pressure. What is its volume at standard pressure? a. 1.92 L b. 1.96 L c. 1.95 L d. 1.98 L
1.95 L
176
What will be the amount after four years if ₱ 12,800 is invested at 5% compounded quarterly? a. ₱ 14,585.34 b. ₱ 15,614.59 c. ₱ 14.785.34 d. ₱ 15,214.59
₱ 15,614.59
177
A piece of wire is shaped to enclose a square whose area is 169 sq. cm. It is then reshaped to enclose a rectangle whose length is 15 cm. what is the area of the rectangle? a. 167 sq. cm. b. 160 sq. cm. c. 165 sq. cm. d. 163 sq. cm.
165 sq. cm.
178
Find the 30th term of the arithmetic progression, 4, 7, 10, .... a. 89 b. 90 c. 91 d. 92
91
179
Wanda is twice as old as Ywwa was when Wanda was as old as Ywwa is now. If Wanda is 12 yeas old, how old is Ywwa? a. 7 b. 8 c. 10 d. 9
9
180
What is the next term of the given sequence of numbers, 1, 2, 6, 24, 120, ___? a. 360 b. 480 c. 240 d. 720
720
181
A repair job can be done by 7 people in 8.5 hours. How long will it take for 4 people to complete the same job? a. 4 hr 30 min b. 14 hr 9 min c. 14 hr 53 min d. 4 hr 51 min
14 hr 53 min
182
During a 24-hour period, a lift station in a system serving a community of 27,000 people pumped 5000 gpm of wastewater. What was the quantity of wastewater generated per capita expressed on a daily basis? Assume the pump station ran 10 hours on the day in question. a. 420 L/d b. 195 gpd c. 1008 L/d d. 78 gpd
420 L/d
183
A pump has a capacity of 8500 gpm and lifts wastewater against a total head of 39 feet. If the pump efficiency is 85%, what size kW motor is required? a. 95 KW b. 194 HP c. 74 KW d. 162 HP
74 KW
184
The interior of 1,275 feet of 60-inch pipe is uniformly coated with 2.75 inches of grease. How many gallons will this pipe hold when filled with water? a. 154,446 b. 33, 811 c. 26,541,375 d. 172,178
154,446
185
If flow through a 10-in, pipe is 722 gpm, what is the velocity in feet per second? a. 5 ft/sec b. 8 ft/sec c. 3 ft/sec d. 2 ft/sec
3 ft/sec
186
An 8-in, main line needs to be flushed. The length of pipeline to be flushed is 250 ft. How many minutes will it take to flush the line at 25 gpm? a. 7 min b. 31 min c. 26 min d. 13 min
26 min
187
Calculate the pounds per square inch pressure at the bottom of a tank, if the water level is 33.11 ft deep? a. 33.1 psi b. 76.5 psi c. 14.3 psi d. 28.6 psi
14.3 psi
188
A centrifugal pump delivers 1890 Liters per minute against a head of 300 feet with a combined pump and motor efficiency of 70%. What is the cost of the electrical power required to operate the pump 12 hours per day for 2 months? Assume each month has 31 days. The electrical cost is $0.06 per kWh. a. $1798 b. $1405 c. $925 d. $775
$1798
189
A map with a scale of 0.875 inches = 100 feet indicates that manhole “A” is 11.20 inches from manhole “B”. What is the actual distance between manholes? a. 1,280.0 ft b. 881.3 ft c. 2,343.8 ft d. 980.0 ft
1,280.0 ft
190
A wet well is 12 feet by 6 feet by 15 deep and the influent rate is 600 GPM. With the 2 pumps running, the level decreases 3' 9”. In 18 minutes. If pump “A” has a pumping rate of 425 GPM, what is the pumping rate of pump “B”? a. 537 gpm b. 175 gpm c. 488 gpm d. 287 gpm
287 gpm
191
A ball is dropped into a manhole, 2 min. 18 seconds later it is observed 500' away in a downstream manhole. What is the velocity of the flow in FPS? a. 3.62 ft/sec b. 6.22 ft/sec c. 3.90 ft/sec d. 1.59 ft/sec
3.62 ft/sec
192
How many gallons are there in a pipe that is 18 in. in diameter and 216 ft long? a. 2,430 gal b. 2,854 gal c. 1,908 gal d. 2,561 gal
2,854 gal
193
A contractor is 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 inch per foot, how far from the road can the builder place the house? a. 259.2 ft b. 27.4 ft c. 246.5 ft d. 331.7 ft
259.2 ft
194
Find the total head, in feet, for a pump with a total static head of 19 ft and a head loss of 3.7 ft. a. 15.3 ft b. 22.7 ft c. 5.1 ft d. 70.3 ft
22.7 ft
195
What is the pressure head at a fire hydrant in feet, if the pressure gauge reads 121 psi? a. 141 ft b. 86 ft c. 52 ft d. 280 ft
280 ft
196
What should the flow meter read in gallons per minute, if a 12-in. diameter main is to be flushed at 5.0 fps? a. 1,762 gpm b. 2,900 gpm c. 3,920 gpm d. 3,600 gpm
1,762 gpm
197
1 watt is: a. 1 Nm/hr b. 1 kN/hr c. 1 Nm/mt d. 1 Nm/s
1 Nm/s
198
What is the radius of the circle whose area is equal to that of a trapezoidal cross section whose two parallel sides are 2.50 meters and 1.80 meters respectively and the distance between them is 1.50 meters? a. 3.101 m b. 1.013 m c. 1.301 m d. 1.103 m
1.013 m
199
Shannel’s birthday is 7 weeks and 5 days away. How many days away is her birthday? a. 12 days b. 54 days c. 49 days d. 35 days
54 days