arithmetic Flashcards
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
BTU
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
Absorption refrigeration
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
Wet bulb temperature
The study of the properties and behavior of atmospheric air is
known as:
a. Gas dynamics
b. Thermodynamics
c. Psychrometrics
d. Atmosphere
Psychrometrics
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
randomness or disorder
The transmission of heat from a hot body to a cold body by
electromagnetic waves is:
a. Conduction
b. Absorption
c. Convection
d. Radiation
Radiation
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
inhibits further deterioration
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
quadruples
Which of the process where work done is zero?
a. Isentropic
b. Polytropic
c. Isometric
d. Isobaric
Isometric
One horsepower is equivalent to:
a. 746 watts
b. 7460 watts
c. 74.6 watts
d. 7.46 watts
746 watts
The energy that changes the phase of a substance:
a. Specific
b. Fusion
c. Latent
d. Sensible
Latent
The SI unit of temperature is:
a. oF
b. oK
c. oR
d. BTU
oK
The SI unit of power is:
a. Joule
b. Pascal
c. Newton
d. Watt
Watt
What is the temperature at which water freezes using Kelvin scale?
a. 373
b. 273
c. 237
d. 406
273
The pressure reading of 35 psi in kPa abs is:
a. 342.72
b. 724.00
c. 273.40
d. 427.30
342.72
1 torr is equivalent to a pressure of:
a. 1 atmosphere
b. 2 mm Hg
c. 147 psia
d. 1/760 atmosphere
1/760 atmosphere
What is the gauge used to measure 0.001 to 1 atmospheric pressure?
a. Barometer
b. Mercure manometer
c. Psychrometer
d. Hydrometer
Barometer
Time rate of doing work
a. Power
b. Heat
c. Energy
d. Work rate
Power
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
-40 degrees
What is the recorded current value of an asset?
a. Salvage value
b. Book value
c. Present worth
d. Scrap value
Book value
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
Hard currency
What is the scrap value of an asset?
a. Book value
b. Future value
c. Salvage value
d. Replacement value
Salvage value
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
Fair value
What do you call an increase in the value of the capital stock?
a. Capital expenditure
b. Capital gain
c. Capital stock
d. Profit
Capital gain
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
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
The estimated value at the end of the useful life:
a. Compounded annually
b. Salvage value
c. Face value
d. Economic life
Salvage value
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
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
What is the market situation wherein there is only one seller with many buyers?
a. Monopoly
b. Monopsony
c. Oligopoly
d. Oligopsony
Monopoly
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
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
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
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
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
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
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
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
Which of the following is NOT considered?
a. Manufacturing cost
b. Profit and loss statement
c. Schedule expenses
d. Balance sheet
Schedule expenses
A measure of how much a product costs to make.
a. Net expense
b. Sales
c. Gross margin
d. Gross sales
Gross margin
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
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
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
Isotopes differ in ______.
a. Number of protons
b. Number of neutrons
c. Number of bonds
d. Number of electrons
Number of neutrons
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
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
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
Chemical symbol for Cesium.
a. Ce
b. Cm
c. Cs
d. Cu
Cs
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
A Roman numeral M is equivalent to
a. 1000
b. 500
c. 100
d. 50
1000
0.50 in its fraction form is
a. 1⁄2
b. 1⁄4
c. 3/8
d. 3⁄4
1/2
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
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
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
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
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
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
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
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
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
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
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
Cost of things that are neither labor or materials.
a. Expenses
b. Investments
c. Labor cost
d. Construction cost
Expenses
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
The number of several outcomes divided by the number of possible
outcomes is:
a. Probability
b. Permutation
c. Combination
d. Change
Probability
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
A prime number has exactly how many divisors?
a. 2
b. 4
c. 3
d. 1
2
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
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)
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
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
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
A tetrahedron has ______ vertices.
a. 6
b. 8
c. 5
d. 4
4
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
The altitude of the sides of a triangle intersect at the point
known as ______.
a. Circumcenter
b. Incenter
c. Centroid
d. Orthocenter
Orthocenter
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
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
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
The most common unit of measure for angles is the _______.
a. Diameter
b. Perimeter
c. Area
d. Degree
Degree
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
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.
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
A number 0.123123123123 is:
a. Rational
b. Transcendental
c. Surd
d. Irrational
Rational
What is a measure of relationship between two variables?
a. Function
b. Equation
c. Correlation
d. Relation
Correlation
A statement of equality between two ratios.
a. Power factor
b. Valuation
c. Theorem
d. Proportion
Proportion
An algebraic expression consisting of three terms.
a. Trigonometric ratio
b. Trigonometric function
c. Trihedral angle
d. Trinomial
Trinomial
A number that exactly divided by two is _______.
a. Odd
b. Real
c. Even
d. Original
Even
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
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
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
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
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
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
The ________ of a parallelogram is the distance from the base to
the opposite side.
a. Face
b. Edge
c. Length
d. Height
Length
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
One British Thermal Unit is equivalent to how many calories?
a. 316 cal
b. 252 cal
c. 225 cal
d. 361 cal
252 cal
Part of theorem which is assumed to be true.
a. Hypothesis
b. Postulate
c. Axiom
d. Conclusion
Axiom
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
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
In electrical, what is the SI unit of conductance?
a. Siemens
b. Ohm
c. Ampere
d. Darsho’s siemens
Siemens
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
1 cubic foot of water = ____ pounds
a. 32.2
b. 62.4
c. 9.81
d. 9.79
62.4
1 psi = ____ feet of head
a. 32.2
b. 1
c. 2.31
d. 8.33
2.31
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
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
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
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%
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
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°
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
What is the sum of 3, 6, 9, 12,……,171?
a. 4959
b. 2584
c. 3265
d. 1256
4959
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
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
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
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
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
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
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
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
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
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°
What is the value of each angle of a regular dodecagon?
a. 120°
b. 140°
c. 130°
d. 150°
150°
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
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
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°
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
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
Find each interior angle of a hexagon.
a. 120°
b. 140°
c. 130°
d. 150°
120°
6 x 2 + 5 x 3 =
a. 51
b. 27
c. 180
d. None of these
27
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
The expression |2 − 14| − |−25| is equal to:
a. 41
b. 37
c. 16
d. -13
-13
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
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.
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
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
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
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%
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
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
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
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
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
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
What is the greatest common factor of 56 and 70?
a. 12
b. 14
c. 13
d. 15
14
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
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
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
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
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
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
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
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
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
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°
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
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
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
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
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
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
5 + 5 x 2 is equal to ______.
a. 5
b. 12
c. 15
d. 20
15
How many kilowatts is 500 horsepower?
a. 22.7
b. 373
c. 337
d. 37.3
373
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
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
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
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
One nautical mile is
a. 5280 ft
b. 6280 ft
c. 1.256 statute mile
d. 1.85 km
1.85 km
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
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
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
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
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
What is the LCF of 10 and 16
a. 160
b. 2
c. 320
d. 32
2
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
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
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
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
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.
Find the 30th term of the arithmetic progression, 4, 7, 10, ….
a. 89
b. 90
c. 91
d. 92
91
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
1 watt is:
a. 1 Nm/hr
b. 1 kN/hr
c. 1 Nm/mt
d. 1 Nm/s
1 Nm/s
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
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
