ELEMENTS IN MATHEMATICS

c. government decree

The value of fiat money is established by \_________.

a. its value in gold
b. its value as commodity
c. government decree
d. none of the above

slant height

The altitude of a lateral face of a pyramid

a. liquid

Assets which can be easily converted into cash are called \________ assets.

a. liquid
b. solvent
c. bonds
d. real

a.interest rate

The opportunity cost of holding money is the \________
a. interest rate
b. principal
c. dividend
d. none of the above

b. lending

The commercial banking system can create money through

a. holding excess reserves
b. lending
c. acquiring deposits
d. none of the above

a. journal

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

a. journal
b. balance sheet
c. ledger
d. logbook

c. automorphic numbers

Which of the following are numbers whose last digits are unchanged after the number has been squared?

a. palindrome numbers
b. abundant numbers
c. automorphic numbers
d. perfect numbers

a. cevian

Any line segment joining a vertex of a triangle to a point on the opposite side is called as:

a. cevian
b. secant
c. euclidian line

b. conditional equation

An equation whose solution set is not the entire set of real numbers is called a/an

a. equivalent equation
b. conditional equation
c. identical set
d. linear equation

c. axiom

If equals are divided by equals, the quotient are equal. This is a/an

a. theorem
b. corollary
c. axiom
d. hypothesis

a. zero

The only integer with an infinite number of divisors

a. zero
b. one
c. natural number
d. negative number

d. indeterminate

zero divided by zero is \_________

a. 1
b. 0
c. undefined
d. indeterminate

c. extraneous solution

A solution of an equation which does not, by definition, satisfy its original equation, and must therefore not be listed as an actual solution

a. trivial solution
b. null solution
c. extraneous solution
d. imaginary solution

b. infinitely many solutions

A system of m linear equations in n unknowns where n\>m, usually has

a. finite solutions
b. infinitely many solutions
c. imaginary solutions
d. trivial solutions

c. surd

The square root of a whole number produces an irrational number

a. radical
b. irrational number
c. surd
d. parity

b. 2

A prime number has exactly how many divisors?

a. 1
b. 2
c. 3
d. 4

b. perfect number

An integer number that is equal to the sum of all its possible divisors except the number itself is called

a. amicable number
b. perfect number
c. defective number
d. redundant number

a. complex fraction

Any fraction which contains one or more fractions in either numerator or denominator, or both is called

a. complex fraction
b. compound fraction
c. composite fraction
d. partial fraction

b. conditional equation

An equation whose solution set is not the entire set of real numbers is called a/an

a. equivalent equation
b. conditional equation
c. identical set
d. linear equation

b. involution

The operation of raising to the integral power known as

a. evolution
b. involution
c. revolution
d. indexing

d. the quotient of even numbers is even

Which of the following statements is NOT True?

a. The sum of even number is even
b. The difference of even number is even
c. THe product of even numbers is even
d. The quotient of even numbers is even

b. 90 deg

The angle formed by two chords connecting the ends of the diameter is :

a. 45 deg
b. 90 deg
c. 120 deg
d. 60 deg

d. oblique

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

a. parallel
b. coplanar
c. colinear
d. oblique

d. 2/3 H from the vertex

The center of gravity of an isosceles triangle whose height is H on the median line

a. 2/3 H from the base
b. 3/4 H from the vertex
c. 1/3 H from the vertex
d. 2/3 H from the vertex

b. escalatory clause

The provision in the contract that indicates the possible adjustment of material cost and labor cost

a. secondary clause
b. escalatory clause
c. contingency clause
d. main clause

c. sinking fund method

A 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.

a. straight line method
b. declining balance method
c. Sinking fund method
d.SYD method

c. write off period

The length of time at which the original cost of capital used to purchase a unit has already been recovered.

a. economic life
b. physical life
c. write off period
d. salvage life

b. equity

The residual value of a company's assets after all outside liabilities (shareholders excluded has been allowed for.

a. dividend
b. equity
c. return
d. per value

b. salvage value

Sometimes called second hand value

a. scrap value
b. salvage value
c. book value
d. going value

c. fair value

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

a. market value
b. goodwill value
c. fair value
d. franchise value

c. Poisson ratio

The ratio of the unit deformation or strains in a transverse direction is constant for stresses within the proportional limit. This is known as

a. Hooke's Law
b. Mohr's circle
c. Poisson ratio
d. Slenderness ratio

b. RA 8495

The new mechanical engineering law which was signed last February 12, 1998 is known as

a. RA 8491
b. RA 8495
c. RA 8499
d. RA 8492

a. cycloid

Locus of points on a side which rolls along a fixed line
a. cycloid
b. cardiod
c. epicycloid
d. hypocycloid

a. tort

An evil wrong committed by a person damaged another person's property or reputation is

a. tort
b. material breach
c. negligence
d. fraud

c. current assets

Liquid assets such as cash and other assets that can be converted quickly into cash, such as accounts receivable and merchandise are called

a. total assets
b. fixed assets
c. current assets
d. none of the above

d. sinusoidal

If the second derivative of the equation is equal to the negative of the equation of tat same curve, the curve is

a. paraboloid
b. exponential
c. tangent
d. sinusoidal

b. temperature

Velocity of sound in an ideal gas is only a function of

a. pressure
b. temperature
c. volume
d. entropy

a. Prandtl Number

The ratio of the actual velocity at a given location and the velocity of sound at the same location.

a. Prandlt number
b. Mach number
c. Reynolds number
d. Moles number

d. dyne

Force required to accelerate a mass of one gram at a rate of one centimeter per second per second

a. pound
b. gram
c. kilogram
d. dyne

c. 5/18

Roll a pair of dice one time. What is the probability that the sum of the two numbers is at least 9?

a. 1/9
b. 11/36
c. 5/18
d. 1/6

a. Ellipse

If the eccentricity is less than one, then curve is known as:

a. Ellipse
b. Parabola
c. Hyperbola
d. Circle

b. 3/7

In one of the parlor games, twenty one tickets from 1 to 21 are in the boys. If one ticket is drawn at random, what is the probability that it is a multiple of 3 and 7?

a. 8/21
b. 3/7
c. 10/21
d. 11/21

b. 48 deg

A thermometer reading 18 deg F is brought into a room where the temperature is 70 deg F; 1 minute later the thermometer reading is 31 deg F. Find the thermometer reading 3 minutes after the thermometer is brought into the room.

a. 46 deg F
b. 48 deg F
c. 52 deg F
d. 60 deg F

b. 31

If the 18th term of an arithmetic progression is 3 and the 52nd term is 139, what is the 25th term?

a. 27
b. 31
c. 35
d. 39

b. -119-120i

Simplify (2 + 3i)^4

a. 16 + 81i
b. -119 - 120i
c. -9 - 60i
d. 24 - 26i

c. 120.50 deg

Find the angle B if a \= 132, b \= 224, and C \= 28.7 deg.

a. 130.50 deg
b. 102.95 deg
c. 120.50 deg
d. 103.50 deg

b. 1.477

The radius of circle inscribed of a triangle with sides 5, 7 and 10 is:

a. 1.774
b. 1.477
c. 1.744
d. 1.474

a. 1.8 M

Determine the capitalized cost of an equipment costing P 1,000,000 with an annual maintenance of P 120,000 if money is worth 15 percent per annum.

a. P 1.8 M
b. P 2.5 M
c. P 3.0 M
d. P 4.7 M

b. 1

Which of the following cannot be a base for a logarithm?

a. 10
b. 1
c. e
d. pi

d. Are

An SI unit of area equal to 100 sq. meter.

a. Arc
b. Acre
c. Hectare
d. Are

A. Altitude

A perpendicular segment from a vertex of the triangle to the line containing the opposite side

A. Altitude
B. Median
C. Angle Bisector
D. Apothem

A. Angle of elevation

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

A. Angle of elevation
B. Angle of depression
C. acute angle
d. Obtuse angle

B. Angle of depression

The angle which the line of sight to the object makes with the horizontal which is below the eye of the observer

A. angle of elevation
B. Angle of depression
C. Pedal Angle
D. Inscribed Angle

A. Alternate angle

A pair of equal angles form by parallel lines and a third line intersecting the parallel lines

A. alternate angles
B. Vertical angles
C. Oblique agles
D. Adjacent angles

A. Apex

The point at the top of a pyramid or triangle

A. apex
B. helix
C. Vertex
D. convex

A. Apponias Theorem

The theorem that shows the relation between the three sides of the triangle and the length of a medium of the triangle from one vertex to the opposite sides of the triangle

A. Apponias theorem
B. Bramagupthas theorem
C. Descartes theorem
D. Pythagoras Theorem

B. Antilogarithm

The inverse function of logarithm is called

A. Mantisa
B. Antilogarithm
C. Algorithm
D. Natural logarithm

D. Acos

The inverse of cosine function or arc cosine is known as:

A. acosec
B. acosech
C. acosh
D. acos

C. acosh

The inverse of hyperbolic cosine or arcosh is known as

A. acosec
B. acosech
C. acosh
D. acos

D. Briggsian logarithm

A logarithm having a base 10 is called

A. natural logarithm
B. complex logarithm
C. Naperian logarithm
D. Briggsian logarithm

A. Binary logarithm

The logarithm having a base 2 is known as

A. Binary logarithm
B. Briggsian logarithm
C. Naperian logarithm
D. Natural Logarithm

B. Circumcenter

The perpendicular bisector of the sides of a triangle passes through a common point which is equivalent from the three vertices of the triangle called

A. Excenter
B. Circumcenter
C. incenter
D. Orthocenter

D. Circumcircle

The circle circumscribing a triangle has its center at the intersection of the perpendicular bisector of the triangle
A. excircle
B. Incircle
C. Escribed circle
D. Circum circle

C. Cevian

Any line segment joining a vertex of a triangle to a point on opposites sides
A. Median
B. Secant line
C. Cevian
D. Euclidian line

B. cologarithm

The logarithm of the reciprocal of a number equal to the additive inverse of its logarithm

A. antilogarithm
B. cologarithm
C. Natural logarithm
D. Reciprocal logarithm

C. from 3 m to 7 m

Given the sides of a triangle as 3 m and 5m. The third side is

A. between 3 m and 8 m
B. greater than 8 m
C. from 3 m to 7 m
D. from 2 m to 8 m

D. eradius

Another term for radius of an escribed circle of a triangle

A. inradius
B. circumradius
C. orthoradius
D. eradius

A. ecenter

The center of an escribed circle of a triangle

A. ecenter
B. incenter
C. Orthocenter
D. circumcenter

C. inscribed angle

An angle whose vertex is a point on the circle and whose sides are chords

A. circumscribed angle
B. escribed angle
C. inscribed angle
D. reflex angle

B. Mantissa

The decimal part of the logarithm of a number

A. Characteritic
B. Mantissa
C. Base
D. Exponent

A. Pythagorean theorem

The square of the hypotenuse of a right triangle is equal to the squares of the squares of the other two sides or legs

A. Pythagorean theorem
B. Ptolemy's Theorem
C. Aristotle's Theorem
D. Euclid's Theorem

C. Pedal triangle

The triangle formed inside a triangle by connecting the points where the altitudes of the triangle touches the opposite sides as drawn from each vertices

A. inscribed triangle
B. Median triangle
C. Pedal triangle
D. Ortho triangle

A. versed sine

The trigonometric function equal to one minus the cosine function

A. versed sine
B. Co-versed sine
C. arcsine
D. arcsine

B. Negative logarithms

Numbers between 0 and 1 have

A. positive logarithms
B. Negative logarithms
C. Complex logarithms
D. Zero logarithms

C. 0

The logarithm of 1 to the base 8 is

A. 1
B. 1/8
C. 0
D. 8

B. Zero

The logarithm of one is:

A. indeterminate
B. Zero
C. Infinity
D. Undefined

A. Angle

The space between two lines meeting at a point called vertex

A. angle
B. plane
C. distance
D. altitude

D. broken line

A path consisting of two or more straight lines

A. curve line
B. locus
C. trial
D. broken line

C. Hypotenuse

The longest side of a right triangle or the side opposite to the right angle

A. slant height
B. leg
C. Hypotenuse
D. Base

C. Long radius

The distance between a center and a vertex of a regular polygon

A. apothem
B. median
C. long radius
D. hypotenuse

A. mediator

The perpendicular bisector of a line segment
A. mediator
B. divider
C. altitude
D. orthobisector

A. Altitude

The angular distance of an astronomical body above or below an observer's horizon

A. altitude
B. slant height
C. Azimuth
D. Orthobisector

B. Central angle

The angle between any two radii is

A. inscribed angle
B. Central angle
C. Polar angle
D. dihedral angle

D. axis

Refers to a line of symmetry of a given figure
A. reference
B. symmetry
C. boundary
D. Axis

B. Common Tangent

A single line which forms a tangent to two or more separate curves

A. common secant
B. common tangent
C. chord
D. normal

B. right angle

An angle that is half the straight angle
A. acute angle
B. right angle
C. reflex angle
D. oblique angle

D. diagram

A line drawn between any two non-adjacent vertices of a polygon
A. altitude
B. median
C. bisector
D. diagram

A. interpolation

The procedure for estimating intermediate value that are not listed in a table of numerical values
A. interpolation
B. manipulation method
C. telescoping process
D. trial and error method

B. evolution

The operation of root extraction

A. involution
B. evolution
C. rationalization
D. manipulation

A. involution

The operation of raising to an integral power x^n

A. involution
B. evolution
C. rationalization
D. expansion

C. face

A plane surface of a geometric figure

A. base
B. plane
C. figure
D. surface

B. 60 deg

Each interior angle of an equilateral triangle is equal to:

A. 30 deg
B. 60 deg
C. 90 deg
D. 45 deg

A. error

The difference between an approximate value and the true value which it approximates
A. error
B. balance
C. residue
D. correction factor

A. gradian

A unit of angle measurement with one reqvolution equivalent to 400 gradians

A. gradian
B. degree
C. mil
D. revolution

D. Primitive triangle

A right triangle whose length of sides may be expressed as ratio of integral units

A. Pedal triangle
B. Isosceles triangle
C. Scalene triangle
D. Primitive triangle

D. Scalene triangle

A triangle with no side equal is known as

A. acute triangle
B. oblique triangle
C. equilateral triangle
D. scalene triangle

C. the lengths of their altitudes

If two triangles have congruent bases, then the ratio of their areas equals the ratio of their altitudes

A. their perimeter
B. their sides
C. the lengths of their altitudes
D. none of the above

A. sqrt(2)

In an isosceles right triangle, the hypotenuse is \______ times as long as each of the legs

A. sqrt (2)
B. sqrt (3)
C. 2
D. 3

D. Sides

Which of the following is not a secondary part of a triangle
A. Altitudes
B. Medians
C. Exterior angles
D. Sides

1

What is the characteristic of log_10(20) \= 1.310