Font size
WorksheetsMESL SET 04
Total questions: 150
Worksheet time: 1hrs 15mins
One nautical mile is equivalent to:
5280 ft.
6280 ft.
1.256 statute mile
1.854 km
255°C is equivalent to:
491°F
472°F
173.67°F
109.67°F
Which of the following is correct?
1 hp = 746 kW
1 hp = 0.746 W
1 hp = 0.746 kW
1 hp = 546 W
If equals are added to equals, the sum is equal.
theorem
postulate
axiom
corollary
If a = b and b = c, then a = c. This property of real numbers is known as:
reflexive
symmetric
transitive
addition
If a = b and b = a. This property of real numbers is known as:
reflexive
symmetric
transitive
multiplication
A line segment joining two points on a circle is called:
arc
tangent
sector
chord
An angle greater than straight angle and less than two straight angles is called:
right angle
obtuse angle
reflex angle
acute angle
All circles having the same center but unequal radii are called:
encircle
tangent circles
concyclic
concentric circles
A triangle having three sides equal is called:
equilateral
scalene
isosceles
right
In a regular polygon, the perpendicular line drawn from the center of the inscribed circle to any one of the sides is called:
radius
altitude
median
apothem
A quadrilateral with two and only two sides of which are parallel is called:
parallelogram
trapezoid
quadrilateral
rhombus
A polygon with fifteen sides is called:
dodecagon
decagon
pentedecagon
nonagon
A statement the truth of which is admitted without proof is called:
an axiom
a postulate
a theorem
a corollary
A rectangle with equal sides is called:
rhombus
trapezoid
square
parallelogram
The sum of the sides of a polygon is termed as:
circumference
altitude
apothem
perimeter
A line that meets a plane but not perpendicular to it, in relation to the plane, is:
parallel
collinear
coplanar
oblique
A quadrilateral whose opposite sides are equal is generally termed as:
a square
a rectangle
a rhombus
a parallelogram
A part of a line included between two points on the line is called:
a tangent
a secant
a sector
a segment
If the edge of a cube is doubled, which of the following is correct?
the lateral area will be quadrupled
the volume is increased 8 times
the diagonal is doubled
the weight is doubled
The section of the sphere cut by a plane through its center is termed as:
small circle
incircle
big circle
great circle
Lines that pass through a common point are called:
collinear
coplanar
concurrent
congruent
In two intersecting lines, the angles opposite to each other are termed as:
opposite angle
vertical angles
horizontal angle
inscribed angle
A normal to a given plane is:
perpendicular to the plane
parallel to the plane
lying on the plane
oblique to the plane
The chord passing through the focus of the parabola and perpendicular to its axis is termed as:
directrix
translated axis
latus rectum
axis
The locus of the point which move so the sum of its distances between two fixed points is constant is called as:
a parabola
a circle
an ellipse
a hyperbola
A tangent to a conic is a line:
which is parallel to the normal
which passes inside the conic
which touches the conic at only one point
all of the above
The focus of a point that moves so that its distance from a fixed point and a fixed line is always equal is known as:
a parabola
a circle
an ellipse
a hyperbola
The locus of a point, which moves so that it is always equidistant from a fixed point is known as:
a parabola
a circle
an ellipse
a hyperbola
In polar coordinate system, the polar angle is positive when:
measured clockwise
measured in the terminal side of 0
measured counterclockwise
none of these
The plane rectangular coordinate is divided into four parts which are known as:
coordinates
octants
quadrants
axis
The rectangular coordinate system in space is divided into eight compartments which are known as:
quadrants
octants
axis
coordinates
A conic section whose eccentricity is greater than one is known as:
a parabola
an ellipse
a circle
a hyperbola
A conic section whose eccentricity is less than one is known as:
a parabola
an ellipse
a circle
a hyperbola
A conic section whose eccentricity is equal to one is known as:
a parabola
an ellipse
a circle
a hyperbola
In polar coordinate system, the distance from a point to the pole is known as:
polar angle
x-coordinate
radius vector
y-coordinate
The curve represented by the equation r=6 is:
a parabola
a line
an ellipse
a circle
When two lines are perpendicular, the slope of one is:
equal to the other
equal to the reciprocal of the other
equal to the negative of the other
equal to the negative of the reciprocal of the other
The axis of the hyperbola which is parallel to its directrices is known as:
conjugate axis
transverse axis
major axis
minor axis
The axis of the hyperbola through its foci is known as:
conjugate axis
transverse axis
major axis
minor axis
Any equation which, because of some mathematical process, has acquired an extra root is sometimes called a:
redundant equation
literal equation
linear equation
defective equation
A statement that one mathematical expression is greater than or less than another is called:
inequality
absolute condition
non-absolute condition
conditional expression
A relation in which every ordered pair (x,y) has one and only one value of y that corresponds to the value of x is called:
function
range
domain
coordinates
An equation in which a variable appears under the radical sign is called:
literal equation
radical equation
irracial equation
irrational equation
In a proportion of four quantities, the first and the fourth terms are referred to as the:
means
denominators
extremes
numerators
A polygon is ____ if no side, when extended, will pass through the interior of the polygon.
convex
equilateral
isoperimetric
congruent
Which of the following statements are correct?
All equilateral triangles are similar
All right triangles are
The volume of any solid of revolution is equal to the generating area times the circumference of the circle described by the centroid of the area. This is commonly known as:
first proposition of Pappus
Cavalier's Principle
second proposition of Pappus
Simpson's Rule
It is defined as the motion of a rigid body in which a straight line passing through any two particles always remains parallel to its initial position:
translation
rotation
plane motion
kinetics
Which of the following is not a vector quantity?
mass
torque
displacement
velocity
The product of force and the time during which it acts is known as:
impulse
momentum
work
impact
The property of the body which measures its resistance to changes in motion.
acceleration
weight
mass
rigidity
The study of motion without reference to the forces which causes motion is known as:
kinetics
dynamics
statics
kinematics
A branch of physical science that deals with state of rest or motion of bodies under the action of forces is known as:
mechanics
kinetics
kinematics
statics
In physics, work is defined in terms of the force acting through a distance. The rate at which the work is done is called:
force
energy
power
momentum
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 inertia
center of gravity
center of attraction
moment of inertia
The specific gravity of the substance is the ratio of the density of the substance to the density of water. Another term for specific gravity is:
specific weight
unit weight
relative density
density
The momentum of a moving object is the product of its mass and velocity. Newton’s Second Law of Motion says that the rate of change of momentum with respect to time is:
power
energy
momentum
force
The recorded current value of an asset is known as:
scrap value
book value
salvage value
present value
The ratio of the interest payment to the principal for a given unit of time and is usually expressed as a percentage of the principal is known as:
investment
nominal interest
interest
interest rate
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:
SYD method
declining balance method
straight line method
sinking fund method
The interest rate at which the present worth of cash flow on a project is zero, or the interest earned by an investment:
rate of return
effective rate
nominal rate
yield
The lessening of the value of an asset due to the decrease in the quantity available. This refers to the natural resources such as coal, oil, and timber in the forest:
depreciation
depletion
inflation
incremental cost
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:
straight line method
SYD method
declining balance method
sinking fund method
The term used to express the series of uniform payments occurring at equal interval of time is:
compound interest
annuity
perpetuity
depreciation
The profit derived from a project business enterprise without consideration of obligations to financial contributors and claim of others based on profit is known as:
yield
earning value
economic return
expected yield
As applied to capitalized asset, the contribution of the initial cost by periodic changes to operation as in depreciation of the reduction of the depth by either periodic or irregular prearranged program is called:
amortization
annuity
depreciation
capital recovery
The term used to define the loss in the value of an asset due to its use or passage of time is:
amortization
depletion
depreciation
depression
The number of favorable outcomes divided by the number of possible outcomes is:
permutations
probability
combination
chance
Two factors are considered essentially the same if:
one is merely the negative of the other
one is exactly the same as the other
both of them are negative
both of them are positive
All integer is said to be prime if:
it is factorable by any value
it is an odd integer
it has no other integer as a factor except itself or 1
it is an even integer
Equations in which the members are equal for all permissible values of unknowns are called:
a conditional equation
an identity
a parametric equation
a quadratic equation
Equation which satisfy only for some values of unknown are called:
a conditional equation
an identity
a parametric equation
a quadratic equation
Those funds that are required to make the enterprise or project a going concern:
Banking
accumulated amount
working capital
principal or present work
Ivory soap floats in water because:
all matter has mass
the density of ivory soap is unity
the specific gravity of ivory soap is greater than that of water
the specific gravity of ivory soap is less than that of water
If the product of the slopes of any two straight lines is negative 1, one of these lines are said to be:
parallel
skew
perpendicular
non-intersecting
When two planes intersect with each other, the amount of divergence between the two planes is expressed by measuring the:
dihedral angle
plane angle
polyhedral angle
reflex angle
The angle which the line of sight to the object, makes with the horizontal, which is above the eye of the observer is called:
angle of depression
angle of elevation
acute angle
bearing
These are product or services that are desired by humans and will be purchased if money is available after the required necessities have been obtained:
utilities
necessities
luxuries
producer goods and services
These are product or services that are required to support human life and activities, that will be purchased in somewhat the same quantity even though the price varies considerably:
utilities
necessities
luxuries
producer goods and services
In complex algebra, we use a diagram to represent a complex plane commonly called:
Argand diagram
Venn diagram
Funicular diagram
De Moivre’s diagram
The graphical representation of the commulative frequency distribution in a set of statistical data is called:
Ogive
Histogram
Frequency polyhedron
Mass diagram
The median of a triangle is the line connecting a vertex and the midpoint of the opposite side. For a given triangle, these medians intersects at a point which is called the:
orthocenter
incenter
circumcenter
centroid
The altitudes of the side of a triangle intersect at the point known as:
orthocenter
circumcenter
centroid
incenter
The angular bisector of the sides of a triangle intersect at the point which is known as:
orthocenter
circumcenter
centroid
incenter
The arc length equal to the radius of the circle is called:
1 radian
1 quarter circle
pi radian
1 grad
A five-pointed star is also known as:
pentagon
pentatron
pentagram
quintagon
A point on the curve where the second derivative of a function is equal to zero is called:
maxima
minima
point of inflection
point of intersection
The point on the curve where the first derivative of a function is zero and the second derivative is positive is called:
maxima
minima
point of inflection
point of intersection
The area bounded by two concentric circles is called:
ring
disk
annulus
sector
A condition where only few individuals produce a certain product and that any action of one will lead to almost the same action of the others:
oligopoly
semi-monopoly
monopoly
perfect competition
An angular unit equivalent to 1/400 of the circumference of a circle is called:
mil
degree
radian
grad
Any two points along a streamline in an ideal fluid in steady flow, the sum of the pressure, the potential energy per unit volume, and the kinetic energy per unit volume has the same value. This concept is known as the:
Pascal’s theorem
Bernoulli’s energy theorem
Fluid theory
Hydraulic theorem
It is the amount that a willing buyer will pay to a willing seller for a property where each has equal advantage and is under no compulsion to buy or sell.
fair value
use value
market value
book value
The line passing through the focus and perpendicular to the directrix of a parabola is called:
latus rectum
axis of parabola
tangent line
secant line
A sequence of numbers where the succeeding term is greater than the preceding term is called:
dissonant series
convergent series
isometric series
divergent series
The number 0.123123123… is
irrational
surd
rational
transcendental
The altitudes of the sides of a triangle intersect at the point known as:
orthocenter
circumcenter
centroid
incenter
When two plane intersect with each other, the amount of divergence between the two planes is expressed by measuring the:
polyhedral angle
plane angle
reflex angle
dihedral angle
What is the point where the second derivative of a function is equal to zero?
maxima
minima
inflection point
point of intersection
It is defined to be the capacity of a commodity to satisfy human want:
discount
luxuries
utility
necessity
Kinematic viscosity in an SI derived unit is described as:
watt per meter Kelvin
sq. meter per second
Pascal-second
Newton per meter
The length of the time during which the property may be operated at a profit is called:
life
length of time
physical life
economic life
The logarithm of 1 to any base is:
indeterminate
zero
infinity
one
A form of summary of assets, liabilities, and net worth:
balance method
break-even point
balance sheet
production
In a cantilever beam with a concentrated load at the free end, the moment is:
constant along the beam
maximum at the wall
¼ maximum halfway out on the beam
maximum at the free end
What is the name for the vector that represents the sum of two vectors?
scalar
tangent
tensor
resultant
The worth of property, which is equal to the original cost less depreciation, is known as:
earning value
scrap value
book value
face value
What is the natural logarithm of e to the xy power?
1/xy
2.718/xy
xy
2.718xy
When using net present worth calculations to compare two projects, which of the following could invalidate the calculations?
mutually exclusive projects
evaluation over different periods
non-conventional cash flow
difference in the magnitude of the projects
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
equal to the weight of the fluid displaced
independent of the volume of the body
Which of the following is a form of business/company ownership?
partnership
corporation
single proprietorship
a, b, and c
What is annuity?
the future worth of a present amount
a series of uniform amounts over a period of time
an annual payment of a loan
the present worth of a future amount
What must two investments with the same present worth and unequal lives have?
identical salvage value
identical equivalent uniform annual cash flows
different salvage values
different equivalent annual cash flows
What is the formula for the straight-line depreciation rate?
estimated service life100%−%net salvage value
estimated service life%net salvage value
estimated service life100%net salvage value
estimated service lifeaverage net salvage value
This occurs when a certain product is offered for sale by many vendors or suppliers, and there is no restriction against other vendors from entering the market:
monopoly
oligopoly
perfect competition
inelastic demand
It is defined as the capacity of a commodity to satisfy human want
necessity
demand
utility
none of these
The amount received from the sale of an additional unit of a product is termed as:
marginal cost
marginal utility
marginal unit
marginal revenue
An accounting book where the original record of all transactions is ordinarily recorded.
journal
credit entry
debit entry
transaction record
An interest-earning fund in which equal deposits are made at equal intervals of time for the purpose of gradually accumulating a specific sum of money required at some future date.
amortization
sinking fund
annuity
capitalized cost
The decrease in value of a physical property due to the passage of time.
inflation
depletion
recession
depreciation
A leak from a faucet comes out in separate drops. Which of the following is the main cause of this phenomenon?
gravity
air resistance
viscosity of the fluid
surface tension
What is work-in-process classified as?
an asset
a liability
an expense
owner’s equity
Prisms are named according to their
diagonals
sides
vertices
bases
An array of m x n quantities which represent a single number system composed of elements in row and column is known as:
transpose of a matrix
determinants
co-factor of matrix
matrix
The characteristics is equal to the exponent 10, when the number is written in:
exponential
scientific notation
logarithmic
irrational
It is a polyhedron in which two faces are equal to polygons in parallel planes and the other faces are parallelograms.
tetrahedron
prism
frustum
prismatoid
Terms that differ only in numeric coefficients are known as:
unequal terms
unlike terms
like terms
equal terms
Inelastic collision is collision in which the total kinetic energy after collision is ________ before collision.
equal to zero
equal
less than
greater than
The property by virtue of which a body tends to return to its original size or shape after a deformation and when the deforming forces have been removed.
Elasticity
Malleability
Ductility
Plasticity
A Plain Geometry, two circular arcs that together make up a full circle are called:
conterminal arcs
conjugate arcs
half arcs
congruent arcs
It represents the distance from the y-axis.
ordinate
coordinate
abscissa
polar distance
At a minimum point, the slope of the tangent line is:
negative
infinity
positive
zero
________ is a sequence of terms whose reciprocals form an arithmetic progression.
geometric progression
harmonic progression
algebraic progression
ratio and proportion
The logarithm of a number to the base e (2.718281828….) is called.
Naperian Logarithm
Characteristic
Mantissa
Briggsian logarithm
The ratio or product of two expressions in direct or inverse relation with each other is called:
ratio and proportion
constant variation
means
extremes
In any square matrix, when the elements of any two rows are exactly the same, the determinant is:
zero
positive integers
negative integers
unity
We may classify an interest rate, which specifies the actual rate on interest on the principal for one year as:
Nominal rate
Rate of return
Exact interest rate
Effective rate
Two or more equations are equal if and only if they have the same:
solution set
degree
order
variable set
At the point of inflection where x=a ,
f′(a)=0
f′(a)=0
f(a)>0
f′(a)<0
Polygons are classified according to the number of:
vertices
sides
diagonals
angles
One joules of work is done by a force of one Newton acting through a distance of:
one cm
one inch
one meter
one foot
In a conic section, if the eccentricity e>1 , the locus is:
an ellipse
a hyperbola
a parabola
a circle
Kinetic energy equals:
1/2 mass(velocity)
mass(velocity)
mass(acceleration)
21 mass(velocity)^2
In an ideal gas where p = pressure, V = volume, and T = absolute temperature in degrees Kelvin, which of the following is constant.
pV/T
pTV
pVT
p/VT
The worth of property which is equal to the original cost less the deprecation:
scrap value
earning value
book value
face value
Intangible assets of a corporation or company.
dacion-en-pago
investment
patents
equity
The logarithm of negative numbers is:
irrational number
real numbers
imaginary numbers
complex numbers
The impulse and momentum principle is mostly useful for solving problem involving:
velocity acceleration, and time
force, acceleration, and time
force, velocity, and time
force, velocity, and acceleration
The equilibrium temperature that a regular thermometer measures if posed to atmospheric air is:
dry bulb temperature
wet bulb temperature
°C
dew point
