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Worksheetsmesl 4
Total questions: 133
Worksheet time: 1hrs 7mins
What is the acid test ratio?
The ratio of owner’s equity to total current liabilities
The ratio of all assets to actual current liabilities
The ratio of current assets (exclusive of inventory) to the total current liabilities
The ratio of gross margin to operating, sales, and administrative expenses
How do call energy required to move 1 Coulomb of charge through an element.
Current
Voltage
Power
Resonance
This is a number sequence where the succeeding term is obtained by adding the last pair of preceding terms such as the sequence (1, 1, 2, 3, 5, 8, ...). How do you call this number sequence?
Euler’s number
Fermat number
Fibonacci number
Fourier series
Determine the absolute value of resultant vector of the following vectors: F1 = 4i + 7j + 6k; F2 = 9i + 2j + 11k, F3 = 5i – 3j – 8k.
21
18
25
9
Determine the sum of the coefficient of the variables in the expression (2x+3y−z)8 .
65 536
56 563
63 655
66 535
If the roots of an equation are zero, then, how do you classify the solutions?
Extraneous solutions
Trivial solutions
Conditional solutions
Ambiguous solutions
Find the voltage drop to move 2 C of charge from point a to point b that requires – 30 Joules of energy.
− 15 V
+ 15 V
− 5 V
+ 5 V
This is the process of expressing a polynomial as the product of another polynomial or monomial of lower degree. What is this mathematical process?
Decomposition
Rationalization
Factoring
Polynomial damping
This is a point where the concavity of a curve changes or when the slope of the curve is neither increasing nor decreasing. What is this point commonly called?
Maximum point
Minimum point
Point of tangency
Point of inflection
How do you call the axis of the hyperbola that passes through the center, the foci and vertices?
Transverse axis
Conjugate Axis
Asymptotic axis
Major Axis
How many permutations can be made out of the letters in the word DIEGO taken 3 at a time?
50 ways
60 ways
120 ways
80 ways
What is the temperature in degrees Celsius of a molecule at absolute zero?
0 °C
− 273 °C
− 32 °C
273 °C
If at an angle measures x degrees, what is the measure in radians?
180πx
π180x
x180π
πx180
In electricity, how do you call the rate of charge flow?
Potential difference
Current
Voltage
Power
What is a number, which could not be expressed as a quotient of two integers?
Natural
Rational
Irrational
Surd
This law states, “The voltage, v, across a resistor is directly proportional to the current, i, flowing through the resistor”. How do you call this law?
Kirchhoff’s Law
Ohm’s Law
Ampere’s Law
Gauss’ Law
How do you call an angle that is greater then 180 degree but less than 360 degrees?
Complex
Reflex
Obtuse
Exterior
This law in electrical circuits states, “The algebraic sum of currents entering a node (or a closed boundary) is zero”. How do you call this law?
Kirchhoff’s current law
Ohm’s current law
Kirchhoff’s voltage law
Ohm’s voltage law
How do you call the opposite of the prefix nano?
Peta
Tera
Giga
Hexa
What do you call a triangle having three unequal sides?
Obtuse
Oblique
Scalene
Isosceles
If the z = 1−1−1−⋯ , what is the value of z?
0.453
0.618
0.816
0.681
Solve for the value of x from the following equation: xxx⋯=10 .
1.258925
1.892525
1.85925
1.528925
This law in electrical circuits state, “The algebraic sum of all voltages around a closed path (or loop) is zero”. How do you call this law?
Kirchhoff’s current law
Ohm’s current law
Kirchhoff’s voltage law
Ohm’s voltage law
How do you call the distance of a point from the y-axis?
Polar distance
Coordinate
Abscissa
Ordinate
In electricity, it is an ability of an element to resist the flow of current. What is this?
Resonance
Conductance
Inductance
Resistance
In electrical circuits, how do you call the reciprocal of resistance?
Resonance
Conductance
Inductance
Resistance
In electrical, what is the SI unit of conductance?
Ohm
Mho
Siemens
Ampere
If 4y = 3x, then, what is the value of 4y23x2 ?
34
43
32
23
Which of the following is the equivalent of 1 Ampere?
1 Coulomb per second
1 Joule per Coulomb
1 Volt per Ampere
1 Ampere per Coulomb
This is the measure of central tendency defined as the most frequent score. How do you call this measure of central tendency?
Median
Mode
Mean
Deviation
Which of the following is the equivalent of 1 mil?
One-tenth of an inch
One-thousandth of an inch
One millionth of an inch
One-half of an inch
This is the case of a solution of a plane triangle where the given data leads to two solutions. How do you call this case?
Ambiguous case
Quadratic case
Extraneous case
Conditional case
What is the value of k to make the expression kx2−3kx+9 a perfect square?
2
4
3
5
It is a type of polygon in which each interior angle must be less than or equal to 180°, and all vertices ‘point outwards’ away from the interior. How do you call this polygon?
Concave polygon
Convex polygon
Regular polygon
Irregular polygon
Two times the mother’s age is 8 more than six times her daughter’s age. Ten years ago, the sum of their ages was 44. What is the daughter’s age?
15 yrs old
18 yrs old
12 yrs old
16 yrs old
How do you call a line segment from the center of a regular polygon to the midpoint of a side? It is also called as inradius, the radius of an incircle.
Radius
Apothem
Circumradius
Inradius
If the daily wage of CPM and a Plumber are in the ratio 2:1. In a day, a CPM has to work 8 hrs but the Plumber only 6 hrs. Determine the ratio of their hour wages.
4:3
5:3
3:2
8:3
Which of the following is the equivalent of one circular mil?
4π(0.01)2
4π(0.001)2
4π(0.0001)2
4π(0.00001)2
How do you call a method of describing a set where the elements are separated by commas and enclosed by braces?
Tabular or roster form
Equal form
Rule form
Equivalent form
Which of the following is the equivalent of the expression 2logb6−logb4 ?
2logb3
3logb2
logb2
3logb3
It is a 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. How do you call this payment?
Deferred annuity
Delayed annuity
Progressive annuity
Simple annuity
A 100-kg salt solution originally 4 % by weight salt in water is boiled to reduce water content until the concentration is 5 % by weight salt. How much water is evaporated?
20
25
15
22.5
Tukmol can paint a fence of 50 % faster than Kikoy and 20 % faster than Tiburcio and together they can paint a given fence in 4 hours. How long will it take Tukmol to paint the same fence if he had to work alone?
11
8
9
10
It is now between 3 and 4 o’clock and twenty minutes the minute hand will be as much as the hour-hand as it is now behind it. What is the time now?
3:06 4/11
3:05
3:06
3:07
This is the amount of a property in which a willing buyer will pay to a willing seller for the property when neither one is under the compulsion to buy or sell. What do you call this value?
Fair value
Goodwill value
Book value
Market value
Determine the diameter of a circle given the equation x2+y2−6x+4y−12=0 .
9 units
11 units
12 units
10 units
What is the minimum point of y=x+x1 ?
(1, 2)
(1, 5/2)
(1, 1.5)
(2, 1)
The volume of the cube is increasing at a rate of 5 cu. m per minute. Determine the rate at which the surface area is increasing, in m^2/min, when its side is 10 m.
1/2
1.75
1.5
2
What is the simple interest rate if an investment of P37,500.00 accumulates to P45,937.5 in 18 months?
0.15
0.2
0.21
0.3
What do you think is the negotiation of wage rates, conditions of employment, etc. by representatives of the labor force and management?
Union trade
Union rally
Collective bargaining
Cooperative
What is the value of x→∞limx3−1x2−1 ?
0
0.25
1.25
indeterminate
What is the present value of P5,000.00 due in 8 years if money is worth 12% compounded semi-annually?
P1,896.23
P1,869.23
P1,698.23
P1,968.23
This is a type of bond whose guaranty is in lieu on railroad equipment. What is this type of bond?
Equipment
Debenture bond
Registered bond
Infrastructure bond
How do you call a type of bond where the corporation’s owner name is recorded and the interest is paid periodically to the owners with their asking for it?
Registered bond
Preferred bond
Incorporator’s bond
Bail bond
A man left Sta. Rosa City to drive to Lopez, Quezon at 6:15 pm and arrived at 11:45 pm. If he averaged 50 kph and stopped 1 hour for dinner, how far is Lopez, Quezon from Sta. Rosa City?
225 km
522 km
252 km
215 km
If x varies directly as y and inversely as z, and x = 14 when y = 7 and z = 2, find the value of x when z = 4 and y = 16.
12
18
14
16
How many terms of the sequence – 9, – 6, – 3, … must be taken so that the sum is 66?
11
6
4
9
There are 6 geometric means between 4 and 8748. Find the sum of all terms.
12 310
12 130
13 210
13 120
How many permutation can be made out of the letters of the word ENGINEERING?
277 200
272 700
200 277
227 700
A bag contains 3 white and 5 red balls. If two balls are drawn at random, find the probability that both are white.
0.375
0.10714
0.46667
0.28571
Determine the absolute value of the complex number 3+4i .
4
5
8
6
Simplify i997+i1999 , where i is an imaginary number.
0
i
1 + i
1 − i
The sum of the two interior angles of the triangle is equal to the third angle and the difference of the two angles is equal to 2/3 of the 3rd angle. Find the 3rd angle.
60°
30°
90°
40°
If vector A is 10 units and vector B, which makes 60∘ with vector A, is 20 units. What is the difference of vectors A and B?
15.34 units
13.45 units
18.76 units
17.32 units
How do you call the integral of any quotient whose numerator is the differential of the denominator?
Co-logarithm
Logarithm
Product
Derivative
What is a regular polygon that has 27 diagonals?
Nonagon
hexagon
Pentagon
Heptagon
How do you call the formula used to compute the value of n factorial, which is in symbolic form (n!), where n is large number?
Matheson formula
Diophantine formula
Richardson-Duchman formula
Stirling’s Approximation
What is the reason why an ivory soap floats in water?
All matter has mass
The specific gravity of ivory soap is greater than that of water
The density of ivory soap is unity
The specific gravity of ivory soap is less than that of water
When two planes intersect with each other, the amount of divergence between the two planes is expressed by measuring the:
Reflex angle
Dihedral angle
Polyhedral angle
Plane angle
What do you think is the output or sales at which income is insufficient to equal operating cost?
Break even point
Depreciation
Investment
Cash flow
What is an estimate of assets’ net market value at the end of its estimated life?
Book value
Depreciation
Salvage value
Cash flow
What do you think is the lessening of the value of an asset due to a decrease in the quantity available as a coal, oil and timber in forests?
Depletion
Amortization
Depreciation
Investment
What can you say about the present worth of all depreciation over the economic life of the item?
Maintenance
Capital recovery
Depreciation recovery
Annuity
What do you think is the provision in the contract that indicates the possible adjustment of material cost and labor cost?
Secondary clause
Specification
Escalatory clause
General provision
This is the process of determining the value of certain property for specific reasons. Guess, what is this?
Amortization
Investment
Appraisal
Depreciation
How do you call those products or services that are directly used by people to satisfy their wants?
Consumer goods and services
Producer goods and services
Necessity products and services
Luxury products and services
These are used to produce consumer goods and services. Guess, what are these?
Consumer goods and services
Producer goods and services
Necessity products and services
Luxury products and services
What do you think are those products 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?
Consumer goods and services
Producer goods and services
Necessity products and services
Luxury products and services
How do you call a cylinder with elliptical cross section?
Ellipsoid
Cylindroid
Hyperboloid
Paraboloid
How do you call a market whereby there is only one buyer of an item for which there are no goods substitutes?
Monopoly
Monopsony
Oligopoly
Oligopsony
When a line y = mx + b slopes downwards from left to right, the slope m is:
Less than zero
Greater than zero
Equal to zero
Equal to 1
“Whenever a net force acts on a body, it produces acceleration in the direction of the resultant force, an acceleration which is directly proportional to the resultant force and inversely proportional to the resultant force and inversely proportional to the mass of the body”. How do you call this theory?
Newton’s First law of motion
Newton’s Second Law of motion
Faraday’s law of forces
Hook’s law of equilibrium
It is defined that the momentum of a moving object is the product of its mass, m, and velocity, V. In Newton’s Law of Motion, what is the rate of change of momentum with respect to time?
Power
Momentum
energy
Force
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
The amount of company’s profits that the board of directors of the corporation decides to distribute to ordinary shareholders.
Dividend
Return
Share of stock
Par value
Which of the following is not a theorem on limits?
The limit of the algebraic sum of several functions is equal to the sum of their limits
The limit of the product of several function is equal to the product of their limits
The limit of the difference of several functions is equal to the difference of their limits
The limit of the quotient of two functions is equal to the quotient of their limits, provided the denominator is not zero
When a homogeneous, flexible cord is held at the two ends and allowed to sag freely on its own weight, it will produce a curve very similar to a parabola opening upwards. How do you call this curve?
Parabola
Catenary
Cycloid
Epicycloids
Which of the following Common wealth Acts is known as the oldest Mechanical Engineering law?
Commonwealth Act 394
Commonwealth Act 594
Commonwealth Act 294
Commonwealth Act 8394
What is a borrower of a particular loan almost always required to do during repayment?
Pay exactly the same amount of interest each payment
Repay the loan over an agreed-upon amount of time
Pay exactly the same amount of principal each payment
The choices a and c above
To be a member of the Board of Mechanical Engineering, he/she must be at least how many years old?
25 years
30 years
35 years
40 years
How do you call the line passing through the focus and perpendicular to the directrix of a parabola?
Latus rectum
Axis of the parabola
Transverse axis
Major axis
What is the ratio of the distance between the foci to the distance between the vertices in either hyperbola or ellipse?
Eccentricity
Latus rectum
Variance
Deviation
It is a statement that one mathematical expression is greater than or less than another. How do you call this?
Conditional expression
Inequality
Interval
Domain
It is 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. How do you call this depreciation?
Straight line method
Declining balance method
SYD method
Sinking fund method
What is an artificial expense that spreads the purchase price of an asset or other property over a number of years?
Depreciation
Amnesty
Sinking fund
Bond
How do you classify this interest rate, which specifies the actual rate of interest on the principal for one year?
Nominal rate
Rate of return
Exact interest rate
Effective rate
What type of curve is generated by a point, which moves in uniform circular motion about an axis, while traveling with a constant speed, V, parallel to the axis?
A cycloid
An epicycloids
A hypocycloid
A helix
What do you call the possible outcome of an experiment?
A sample space
A random point
An event
A finite set
How do you call a sequence of numbers where the succeeding term is greater than the preceding term?
Dissonant series
Isometric series
Convergent series
Divergent series
A branch of mathematics which uses the properties of numbers by using symbols or letters to represent numbers in arithmetic operations which usually variables and unknown quantities which usually involves the use and rearranging or equations.
Trigonometry
Algebra
Geometry
Calculus
This is a series of sequential method for carrying out a desire procedure to solve problem.
Algorithm
Hypsogram
Logarithm
Angstrom
This is use for expressing wavelengths of light or ultraviolet radiation with a unit of length equal to 10−10 metre.
Mersenne number
Midac
Light year
Angstrom
It refers to a straight line, which a curve approaches closely, but never meets or touches the curve.
Asymptote
Directrix
Latus rectum
Line segment
It is a collection of numbers or letters used to represent a number arranged properly in rows and columns.
Determinant
Matrix
Array
Equation
It is a high-level programming language for the computer used to express mathematical and scientific problems in a manner that resembles English rather than computer notations.
Algol
Cobol
Pascal
Aldus
In any triangle, the length of a line which is equal to the square root of the sides adjacent to the point where this line started minus the product of the segments of the third side is known as:
Angle bisector
Median
Perpendicular bisector
Trisector
The whole is greater than any one of its parts. This statement is known as:
Postulate
Axiom
Hypothesis
Theorem
A perpendicular segment from a vertex of the triangle to the line containing the opposite side is known as:
Median
Altitude
Angular bisector
Perpendicular bisector
An S.I. unit of area equal to 100 sq. m.
Arc
Acre
Hectares
Are
The angle that the line of sight to the object makes with the horizontal, which is above the eye of the observer, is called:
Angle of elevation
Angle of depression
Acute angle
Obtuse angle
In complex algebra, we use a diagram to represent a complex plane commonly called:
Venn diagram
Histogram
Argand diagram
Funicular diagram
The area bounded by two concentric circles is called:
Annulus
Ring
Disk
Sector
A series of numbers in which each number or term is derived from the preceding number by adding a constant value to it is known as:
Geometric sequence
Arithmetic sequence
Analytical sequence
Differential sequence
10 to the negative power of 18 is the value of the prefix 10−18 .
Atto
Femto
Micro
Pico
A series of equal payments occurring at equal periods of time.
Annuity
Sinking fund
Cash flow
Annual cost
The ratio of annual sales to the average of assets used in producing these sales.
Inventory turnover
Asset turnover
Operating–expense ratio
Quick ratio
Quick ratio is defined as the ratio of quick assets to the current liabilities; sometimes this is called:
Acid test ratio
Debt ratio
Equity ratio
Current ratio
Form of business/company ownership:
Partnership
Corporation
Single proprietorship
All of the above
It is defined to be any method of repaying a debt, the principal and interest included, usually by a series of equal payments at periodic intervals of time.
Amortization
Annuity
Deferred annuity
Preferred annuity
Grand total of the assets operational capability of a corporation.
Authorized capital
Investment
Earning value
Money market
The process of recording all the transactions of the company, which affect any investment of capital so that at any time the results of investment may be known, is:
Bookkeeping
Balancing accounts
Profit & loss statement
Accounting
A system of units based on time, length and mass is called:
Absolute system
Gravitational system
cgs system
mks system
A US unit capacity used to measure solids equal to 7056 cubic inches (0.1156 m^3).
Furlong
Barrel
Bushel
Bar
It refers to a statistical distribution having two distinct peaks of frequency distribution.
Bimodal
Binomial
Biaxial
Bilingual
The straight line or plane that divides a line, a plane, or an angle into two equal parts.
Divisor
Trisector
Eliminator
Bisector
A law which states that the curvature of the central fiber is proportional to the bending moment in homogenous bar.
Euclid
Thailus
Bernoulli – Euler
Torrecilli
A mathematical method that combines two numbers, quantities, etc., to give a third quantity. An example is the multiplication of two numbers in arithmetic.
Binary Operation
Polynomial
Trinomial
Sequence
An algebraic expression having two variables in it. For example, 3x+y is called:
Binary
Binomial
Polynomial
Trinomial
An algebra of sets that has two binary operations called addition and multiplication which may be used to represent binary logic is called:
Boolean Algebra
Elementary Algenra
Matric
Laplace
A logarithm having a base 10 is called:
Natural logarithm
Briggsian logarithm
Complex logarithm
Naperian logarithm
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
Fluid Theory
Hydraulic Theorem
Bernoulli’s Energy Theorem
If the temperature of a confined gas does not change, the product of the pressure and volume is constant. This is known as:
Boyles Law
Pascal’s Law
Archimedes principle
Torrecillis’s Principle
The quantity of heat required to raise the temperature of one pound mass of water through one degree Fahrenheit is known as:
Calorie
Specific heat
British thermal unit
Energy
