WorksheetsIbon Tiririt 3
Total questions: 60
Worksheet time: 30mins
The quadratic equation has roots 1/3 and 3/2. Which equation has these roots?
6x2+5x+3=0
6x2−7x−3=0
6x2+7x−3=0
6x2+7x+3=0
Find k such that kx2−3kx+9 is a perfect square.
5
3
4
2
What is the standard acceleration due to gravity in English units?
32.2 ips^2
9.8066 fps^2
32.2 fps^2
32.2 ft/s^2
Evaluate limx→∞(x2/x3−1) .
0
indeterminate
0.25
1.25
Twice the mother’s age is 8 more than six times her daughter’s age. Ten years ago, their ages summed to 44. What is the daughter’s age?
16 yrs old
12 yrs old
18 yrs old
15 yrs old
How many terms of the arithmetic sequence 9, 6, 3, … must be taken so the sum is 66?
4
9
6
11
A strip is to be planted along the perimeter of a 30 m by 40 m rectangular field to cover half the field’s area. What strip width is needed?
2.5 m
3 m
5.5 m
5 m
Find the root mean square of 11, 23, and 35.
25
24
27
26
Water pours into a pool. After t hours, there are t + √t gallons. At what rate, in GPM, is water pouring in when t = 9 hours?
1.235
3.6
1.167
0.0194
A pole casts a 15-m shadow when the angle of elevation of the sun is 61°. If the pole has leaned 15° from vertical toward the sun, what is the pole’s length?
54.23 m
48.64 m
64.84 m
36.84 m
What is the supplement of an angle whose complement is 62°?
152°
118°
28°
60°
An angle is five times its complement. What is the angle?
186°
168.5°
67.5°
157.5°
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
How do you call the axis of the hyperbola that passes through the center; the foci and vertices?
Transverse axis
Asymptotic axis
Major Axis
Conjugate Axis
What is a number, which could not be expressed as a quotient of two integers?
Natural
Rational
Irrational
Surd
How do you call the opposite of the prefix nano?
Hexa
Tera
Peta
Giga
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
A polygon with ten sides is said to be:
Dodecagon
Decagon
Dodecahedron
Decahedron
Which of the following is true regarding the minimum attractive rate of return used in judging proposed investments?
It is frequently a policy decision made by an organization's management
It is larger than the interest rate used to discount expected cash flow from investments
It is much smaller than the interest rate used to discount expected cash flows from investments
It is not relevant in engineering economy studies
The economic order quantity (EOQ) is defined as the order quantity which minimizes the inventory cost per unit time. Which of the following is not an assumption of the basic EOQ model with no shortages?
The demand rate is uniform and constant
Reordering is done when the inventory is zero
The entire reorder quantity is delivered instantaneously
There is an upper bound on the quantity ordered
What is a borrower of a particular loan almost always required to do during repayment?
Pay the interest only whenever failure to pay the principal
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
How do you classify work-in-process?
A revenue
An asset
A liability
An expense
A polygon with twelve sides is known as:
Dodecahedron
Decahedron
Decagon
Dodecagon
A prefix denoting a multiple of ten times any of the physical units of the system international:
Deka
Nano
Exa
Hecto
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
Simple annuity
Progressive annuity
What do you think is the negotiation of wage rates, conditions of employment, etc. by representatives of the labor force and management?
Union rally
Cooperative
Collective bargaining
Union trade
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?
Amortization
Depletion
Investment
Depreciation
What can you say about the present worth of all depreciation over the economic life of the item?
Annuity
Depreciation recovery
Capital recovery
Maintenance
These are used to produce consumer goods and services. Guess, what are these?
Luxury products and services
Producer goods and services
Necessity products and services
Consumer goods and services
Which statement about a charge placed on a dielectric material is true?
The charge increases the conductivity of the material
The charge is confined to the region in which the charge was placed
The charge is instantly carried to the material's surface
The charge is immediately lost to the atmosphere
Which of the following is not a property of magnetic field lines?
The field is stronger where the lines are closer together
The line intersect surfaces of equal intensity at right angles
The lines cross themselves only at right angles
Magnetic field lines have no beginnings and no ends
Tesla is a unit of which of the following?
Inductance
Magnetic flux
Capacitance
Magnetic induction
What is a pole pitch?
The space on the stator allocated to one pole
The space on the stator allocated to two poles
The angle at which the pole windings are wound
The mica used to insulate the poles from each other
How do you call a polygon with 10 000 sides?
Octacontagon
Myriagon
Chiliagon
Hectoagon
Any line segment joining a vertex of a triangle to a point on the opposite side is called as:
Secant
Newton line
Euclidian line
Cevian
It is any influence capable of producing a change in the motion of an object.
Velocity
Friction
Acceleration
Force
How do you call the amount needed at the beginning of operations and permits the enterprise to begin functioning before it receives any income from the sales of its product or service.
Velocity
Operating revenue
Investment capital
Working capital
How do you call a ring shaped surface or solid obtained by rotating a circle about a coplanar line that does not intersect?
Torus
Annulus
Cicriloid
Annular
If the eccentricity is less than one, then curve is known as:
Circle
Parabola
Hyperbola
Ellipse
Determine the outside diameter of a hollow steel tube that will carry a tensile load of 500 kN at a stress of 140 MPa. Assume the wall thickness to be one-tenth of the outside diameter.
93 mm
103 mm
123 mm
113 mm
What can you say to the following statement: “the volume of a circular cylinder is equal to the product of its base and altitude.”?
Axiom
Corollary
Theorem
Postulate
What is the study of the properties of figures of three dimensions?
Trigonometry
Plane geometry
Solid geometry
Physics
Which of the following is not a theorem on limits?
The limit of the quotient of two functions is equal to the quotient of their limits, provided the denominator is not zero
The limit of the difference of several functions is equal to the difference of their limits
The limit of the product of several function is equal to the product of their limits
The limit of the algebraic sum of several functions is equal to the sum of their limits
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?
Epicycloids
Parabola
Catenary
Cycloid
Which of the following Common wealth Acts is known as the oldest Mechanical Engineering law?
Commonwealth Act 594
Commonwealth Act 394
Commonwealth Act 294
Commonwealth Act 8394
What is the ratio of the distance between the foci to the distance between the vertices in either hyperbola or ellipse?
Variance
Latus rectum
Deviation
Eccentricity
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?
S Y D method
Sinking fund method
Declining balance method
Straight line method
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 hypocycloid
A cycloid
A helix
An epicycloids
What do you call the possible outcome of an experiment?
An event
A finite set
A random point
A sample space
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 or length equal to 10 – 10 metre.
Light year
Micac
Mersenne number
Angstrom
It refers to a straight line, which a curve approaches closely, but never meets or touches the curve.
Line segment
Asymptote
Directrix
Latus rectum
The whole is greater than any one of its parts. This statement is known as:
Theorem
Hypothesis
Axiom
Postulate
An S.I. unit of area equal to 100 sq. m.
Acre
Arc
Are
Hectares
The angle that the line of sight to the object, makes with the horizontal, which is above the eye of the observer, is called as:
Obtuse angle
Acute angle
Angle of depression
Angle of elevation
In complex algebra, we use a diagram to represent a complex plane commonly called as:
Funicular diagram
Argand diagram
Venn diagram
Histogram
10 to the negative power of 18 is the value of the prefix:
Atto
Micro
Fento
Pico
A series of equal payments occuring at equal periods of time.
Annual cost
Annuity
Sinking fund
Cash flow
The ratio of annual sales to the average of assets used in producing these sales.
Operating – expense ratio
Quick ratio
Asset turnover
Inventory turnover
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.
Deferred annuity
Annuity
Preferred annuity
Amortization
