PLUMBING ARITHMETIC-1 Flashcards by hams kidd

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

BTU

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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

12.5

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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

30.10m

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

Gas dynamics
Thermodynamics
Psychometrics
Atmosphere

Psychometrics

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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

randomness or disorder

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

Conduction
Absorption
Convection
Radiation

Radiation

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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

inhibits further deterioration

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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

23.5mph

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

Isometric

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One horsepower is equivalent to:

746 watts

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

Latent

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The SI unit of temperature is:
ᵒF
ᵒK
ᵒR
BTU

ᵒK

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The SI unit of power is:

Joule
Pascal
Newton
Watt

Watt

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

273

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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

10.34 in

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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

34.3 lbs

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

Barometer
Mercure manometer
Psychrometer
Hydrometer

Barometer

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Time rate of doing work

Power
Heat
Energy
Work rate

power

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

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

-40 degrees

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

19.25%
19.48%
18.45%
18.25%

19.48%

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What is the Fahrenheit equivalent of 26.5 degree centigrade?

81.5
82.34
79.7
80.12

79.7

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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

30,655.68

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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

Fair value

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

Capital expenditure
Capital gain
Capital stock
Profit

Capital gain

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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

Current assets

At what rate of interest compounded quarterly will an investment double in 4 years? 16.61% 17.71% 15.51% 14.41%

17.71%

Find the 25th term of an arithmetic progression 5, 8, 11, 14, ... 79 77 83 76

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

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

Law of diminishing return

What is the market situation wherein there is only one seller with many buyers? Monopoly Monopsony Oligopoly Oligopsony

Monopoly

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

Straight line method

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

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? Sinking fund method Straight line method SYD method Declining balance method

Sinking fund method

A depreciation model where the value of an asset decreases at a decreasing rate: Sinking fund Straight line SYD 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. Cartel Monopoly Corporation Mafia

Cartel

The hire of any person to do whatever work he is skilled in doing: Promotion cost Material cost Salary cost Labor cost

Labor cost

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

Deflation

The decrease in value of a certain property due to the gradual extraction of its contents: Depreciation Diminishing returns Depletion Depression

Depletion

A measure of how much a product costs to make. Net expense Sales Gross margin Gross sales

gross margin

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

Deflation

The paper currency issued by the Central Bank which forms part ofthe country’s money supply. T-bills Bank note Check Coupon

Bank note

Pricing strategy that charges the customer different prices for the same product or service. Price war Price manipulation Price discrimination Price escalation

Price discrimination

Isotopes differ in Number of protons Number of neutrons Number of bonds 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. 3 feet 4 feet 5 feet 6 feet

4 feet

It is an accounting book where the records of all the transaction is recorded. Log book Credit entry Journal 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? 275 300 325 350

325

Chemical symbol for Cesium. Ce Cm Cs Cu

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

1904 m3

A Roman numeral M is equivalent to 1000 500 100 50

1000

0.50 in its fraction form is ½ ¼ 3/8 ¾

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

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. Collateral trust bond Debenture bond Joint bond 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. Collateral trust bond Collateral trust certificate Collateral trust note 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. Collateral trust bond Debenture bond Joint bond Mortgage bond

Mortgage bond

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

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. Dividend Equity Return on investment Par value

Dividend

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

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. Dividend Equity Return on investment 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. Progressive annuity Deferred annuity Simple annuity Delayed annuity

Deferred annuity

When an imaginary number is raised to an even exponent it becomes what? Infinite Relatively small number Negative imaginary number Real number

Real number

Cost of things that are neither labor or materials. Expenses Investments Labor cost Construction cost

Expenses

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

The number of several outcomes divided by the number of possible outcomes is: Probability Permutation Combination Change

Probability

Is one where the payments are made at the end of each period Ordinary annuity Perpetuity Annuity due Deferred annuity

Ordinary annuity

A prime number has exactly how many divisors? 2 4 3 1

Overall profit, sales less cost of goods sold, as a percentage of sales is Net income Rate of return Profit margin Gross margin

Gross margin

What is an association of two or more persons for a purpose of engaging in a profitable business? Sole proprietorship Enterprise Partnership Corporation

Partnership

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 ball on the table

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

Oblique

A tetrahedron has _____ vertices. 6 8 5 4

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

Pyramid

The altitude of the sides of a triangle intersect at the point known as Circumcenter Incenter Centroid Orthocenter

Orthocenter

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

Postulate

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

Economic life

Heavy objects fall faster than light objects. Planck’s theory Aristotle’s theory Galileo’s theory Newton’s law

Aristotle’s theory

The most common unit of measure for angles is the Diameter Perimeter Area Degree

Degree

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.

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? Dependent Independent Factorial Probability

Independent

A number 0.123123123123 is: Rational Transcendental Surd Irrational

Rational

What is a measure of relationship between two variables? Function Equation Correlation Relation

Correlation

A statement of equality between two ratios. Power factor Valuation Theorem Proportion

Proportion

An algebraic expression consisting of three terms. Trigonometric ratio Trigonometric function Trihedral angle Trinomial

Trinomial

A number that exactly divided by two is Odd Real Even 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? Complementary Supplementary Dissimilar Similar

Similar

The fluid pressure is the same in all directions. This is known as Bernoulli’s theorem Archimedes principle Ideal fluid principle Pascal’s principle

Pascal’s principle

A space that is devoid of matter and which the pressure is zero Inner space Outer space Black hole Vacuum

Vacuum

The funds that are required to make the enterprise or project a going concern. Banking capital Present worth Working capital Principal

Working capital

If a=b, then b=a. This illustrates which axiom in Algebra. Transitive axiom Symmetric axiom Reflexive Replacement axiom

Symmetric axiom

The present worth of all depreciation over the economic life of the item is called Maintenance Annuity Depreciation recovery Capital recovery

Depreciation recovery

The ______of a parallelogram is the distance from the base to the opposite side. Face Edge Length Height

Length

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

I and III

One British Thermal Unit is equivalent to how many calories? 316 cal 252 cal 225 cal 361 cal

252 cal

Part of theorem which is assumed to be true. Hypothesis Postulate Axiom Conclusion

Hypothesis

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

Sphere

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

Theorem

In electrical, what is the SI unit of conductance? Siemens Ohm Ampere Darsho’s siemens

Siemens

1 cubic foot of water = _____ pounds 32.2 62.4 9.81 9.7

62.4

1 psi = _____ feet of head 32.2 1 2.31 8.33

2.31

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

Arithmetic progression

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.

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

In trigonometry, one revolution is equal to, except Pi radians 400 grads 400 gons 6400 mils

Pi radians

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

Compound interest

How do you connect pump in series? Different RMP Different pressure Same horsepower Same gpm

Same gpm

Each of the faces of a regular hexahedron is a: Triangle Square Hexagon Circle

Square

An arc length, which is equal to the radius of the circle is called: 1 radian 1 pi radian 1 degree 2 pi radians

1 radian

The study of motion without reference to the forces which causes motion is known as Dynamics Kinematics Kinetics Statics

Dynamics

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

Sinking fund method

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

Cardinal number

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

Peripheral speed

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

Center of gravity

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

Equal to the weight of the fluid displaced

Is the number that cannot be expressed into ratio of two integers. Rational number Irrational number Complex number Real number

Irrational number

It is a triangle with two sides equal. Scalene triangle Isosceles triangle Oblique triangle Equilateral triangle

Isosceles triangle

The area of the region bounded by two concentric circles is called: Circular disk Ring Annulus Washer

Annulus

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

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

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

Which of the following is a prime number? 119 97 1 91

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

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

14 mph

It refers to the position relative to an ordering such as first, second, third etc. Cardinal number Number Ordinal number Exponent Correct answer

Ordinal number

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

Equal to the weight of the fluid displaced

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

What is the 50th term of the progression 3, 5, 7,9…… 101 103 100 102

101

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

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

An instrument for measuring specific gravity of fluids: Flowmeter Hydrometer Psyhcrometer Hygrometer

Hydrometer

It is the space between intersecting rays or lines. Line Revolution Side Angle

angle

An angle more than 90° but less than 180° Oblique angles Full angle Reflex angle Obtuse angles

Obtuse angles

Find the 25th terms of an A.P 5, 8, 11, 14 75 78 77 76

It is calculated using principal only, ignoring any interest that had been accrued in preceding periods. Effective rate Simple interest Interest rate Compound interest

Simple interest

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.

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

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

Straight line method

The study of motion without reference to the forces which causes motion is known as Dynamics Kinetics Kinematics Statics

Dynamics

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

Compound interest

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

Progression

It is the sum of real and imaginary numbers which expressed in "x+yi". Complex number Rational number Real number Irrational number

Complex number

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.

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

Which of the following is not a vector quantity? Velocity Mass Torque Displacement

Mass

Find the area of a regular hexagonal with perimeter 12 9.25 5.6 14.70 10.39

10.39

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

Marginal revenue

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

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

The area of the region bounded by two concentric circles is called: Circular disk Annulus Washer Ring

Annulus

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.

10 hrs.

The property of a fluid whereby its own molecule are united or attracted to each other is: Adhesion Pilot tube Ideal fluid Cohesion

Cohesion

The reciprocal of bulk modulus of elasticity of any fluid is called: Compressibility Shape factor Volume strain Volume stress

Compressibility

An arc length, which is equal to the radius of the circle is called: 2 pi radians 1 radian 1 degree 4 degrees

1 radian

A line which is perpendicular to the x-axis has a slope equal to: Zero 1 -1 Infinity

infinity

Are angles which are non-right and nonstraight such as acute angles and obtuse angles. Right angle Reflex angles Darsho's angle Oblique angles

Oblique angles

The reciprocal of bulk modulus of elasticity of any fluid is called: Volume strain Volume stress Shape factor Compressibility

Compressibility

The worth of property which is equal to the original cost less depreciation Face value Scrap value Book value Earning value

Book Value

The weight of the substance per unit volume is, Specific weight Density Force per unit Mas

Specific Weight

Is any positive integer (excluding 1) having no integral factors other than itself and unity. Imaginary number Ordinal number Real number Prime number

Prime Number

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

Mass and weight

Who was the first person of whose systematic use of trigonometry which have documentary evidence. Galileo Euclid Hipparchus Aristotle

Hipparchus

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

The speedometer in your car tells you the _____ of your car. Velocity Acceleration Instantaneous speed Average speed

Instantaneous speed

An accounting book where the original record of all transactions is ordinarily recorded. Journal Credit entry Transaction record Log book

Journal

In how many ways can 6 distinct books be arranged in a bookshelf? 720 120 360 180

720

The path of the projectile is A hyperbola An ellipse A part of a circle. A parabola

A parabola

The product of force and the time during which it acts is known as: Impact Work Momentum Impulse

Impulse

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.

The book is in equilibrium.

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

Commutative Law of Multiplication

It is an ordered arrangement of any element in a set. Permutation Arithmetic progression Combination Probability

Permutation

Are angles which are non-right and non-straight such as acute angles and obtuse angles. Non Angle Right angle Reflex angles Oblique angles

Oblique angles

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

Additive Inverse Property

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

12 mph

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

Marginal revenue

Are opposite angles formed between two intersecting lines that are equal. Vertices Complementary angles Explementary angles Vertical angles

Vertical angles

An instrument for measuring high temperature gases: AnemometeR Manometer Plenometer Pyrometer

Pyrometer

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

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

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

Ellipse

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

6 times

It is the space between intersecting rays or lines. Angle Side Line Revolution

Angle

It is a sequence of numbers in which the reciprocals form an arithmetic progression. Permutation Geometric progression Arithmetic progression Harmonic progression

Harmonic progression

Pour index horsepower is how many foot lbs per minutes 33,333 30,000 33,000 30,333

33,000

Momentum = Force x Velocity2 ½ velocity Velocity Time

time

The reciprocal of density is, Specific volume Specific weight Viscosity Specific gravity

Specific volume

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

Associative Law of Multiplication

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 state of complete physical mental and social well-being and not merely the absence of disease or infirmity. Vital statistics Fitness Health Statics

Health

It is calculated using principal only, ignoring any interest that had been accrued in preceding periods. Compound interest Interest rate Simple interest Effective rate

Simple interest

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

Geometric progression

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

Commutative Law of Addition

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

50m

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

Algebra

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

Additive Inverse Property

What is the sum of the progression 4, 9, 14, 19...... up to the 20th term? 1000 1010 1030 1020

1030

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

Convection

Interest can be calculated in two ways: _____ or compound interest. Simple interest Effective interest Nominal interest Compound interest

Simple interest

Is any positive integer (excluding 1) having no integral factors other than itself and unity. Ordinal number Imaginary number Prime number Real number

Prime Number

The property of a moving object to continue moving is what Galileo called: Speed Acceleration Inertia Velocity

Inertia

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

Newton's Third Law of Motion

If the polynomial x3 + 4x2 - 3x + 8 is divided by x - 5, what would be the remainder? 218 42 210 45

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

What is the sum of the first 25 terms of the progression 5, 8, 11, 14…… 1027 1026 1025 1028

1025

It is a triangle with two sides equal. Isosceles triangle Oblique triangle Scalene triangle Equilateral triangle

Isosceles triangle

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

156

The mass of the substance per unit volume is, Specific weight Force per unit Specific gravity Density

Density

It is a sequence of numbers in which the reciprocals form an arithmetic progression. Harmonic progression Arithmetic progression Geometric progression Permutation

Harmonic progression

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

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?

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

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?

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

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

Center of Gravity

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.

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

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?

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

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?

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

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

Solution set

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

Cosine hint: if Napiers sine word answer is cosine

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.

xy x^2-y^2=27 xy-yx=27 Answer 63 hint: use the choices

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

Complex Number

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?

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

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?

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

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

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

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

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

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?

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

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?

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

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

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

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?

18 years

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?

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

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

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

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

3M/250=N

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

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

Bid Bulletin

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

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

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?

0 displacement work=force x displacement kay g balik man

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

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

power = work/time 20 W

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.

54.38 JOULES

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?

1181.25 KJ

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

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

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?

2.22 days

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

Impulse

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?