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WorksheetsNATIONAL QUIZ 2025
Total questions: 100
Worksheet time: 2hrs 40mins
Equations that are written in terms of variables.
trigonometric equations
algebraic equations
geometric equations
none of these
Is the mathematical statement of equality.
variable
constant
equation
none of these
Are numbers that can be written as the ratio of two integers.
irrational numbers
rational numbers
projected numbers
none of these
Consist of rational numbers and irrational numbers.
complex numbers
real numbers
imaginary numbers
none of these
The ______ consist of three types of numbers: real, imaginary and complex.
numbering system
imaginary system
graphical system
none of these
A legally binding agreement two personalities having an agreement
sign-up
contract
agreement
deal
A tax on imports
export tax
export tariff
import tax
import tariff
Maximum plant capacity in which a licensed ME is allowed to operate tend or maintain
300 kw
2000 kw
1000 kw
6000 kw
The new Mechanical Engineering Law which was signed last February 12, 1998 is known as
RA 8945
RA 8495
RA 8954
RA 8549
All circles having the same center but with unequal radii are called
tangent circles
unequal circles
eccentric circle
concentric circle
The PRC accredited national for mechanical engineers
ASME
PSME
PAMEE
PICE
What is work in process classified as
a revenue
a liability
an expose
an asset
Estimated value at the end of the useful life
salvage value
compounded annually
economic life
balance sheet
Kind of obligation which has no condition attached
analytic
pure
gratuitous
private
Points that lie on the same plane
coplanar
oblique
parallel
collinear
A fund into which annual deposits of A are made in order to accumulate fund F at N years in
the feature
amortization
depreciation
annuity
sinking fund
A civil wrong committed by one person causing damage to another person or his property of
reputation
tort
negligence
material brench
fraud
Intangible assets of a corporation or company
investment
equity
dacion-en-pago
patents
Cash money credit necessary to established and operate an enterprise
funds
assets
capital
liabilities
Modes of extinguishing obligation when creditor abandon his right to collect
condonation
forfeiture
debt cancellation
liquidated damages
The altitudes of the
sides of a triangle
intersects at the point
known as
orthocenter
incenter
circumcenter
centroid
Find the perimeter of the ellipse 9x2 + 18x + 25y2 - 100y = 116.
25.90
26.90
27.90
24.90
A theory in cyclic and
impact loading, which
states that damage at any
stress level is proportional
to number of cycles.
Miner’s Rule
Paris Power Law
Goodman Rule
Manson
-Coffin
Relationship
A certain angle has an
explement 5 times the
supplement, find the
angle.
115°
125°
135°
145°
Determine the developed
acceleration of a roller
coaster in m/s
2 when the
velocity is 20 m/s at a
radius of curvature of
6500 cm.
4.15 m/s2
6.15 m/s2
6.25 m/s2
4.25 m/s2
The graph of r = a + bcosθ
is a
lemniscate
lituus
limacon
cardioid
A number system using a place value ( or
base) of 60.
SENARY NUMBER SYSTEM
SEPTENARY NUMBER SYSTEM
SEXAGESIMAL NUMBER SYSTEM
SEXADECIMAL NUMBER SYSTEM
One joule of work is done by a force of one
Newton acting through a distance of:
ONE CENTIMETER
ONE INCH
ONE METER
ONE FOOT
The rate of laminar water flow in a saturated
soil can be calculated using:
A MOODY DIAGRAM
THE BERNOULLI EQUATION
DARCY’S LAW
THE HAZEN-WILLIAMS FORMULA
The action of bringing one geometric figure
into coincidence with another is called
TRANSPOSITION
TRANSLATION
SUPERPOSITION
PROJECTION
The radius of the earth used in spherical
trigonometry is
3989 STATUTE MILES
3979 STATUTE MILES
3969 STATUTE MILES
3959 STATUTE MILES
A steel has a BHN = 300. What is its approximate ultimate strength in ksi?
300 ksi
150 ksi
75 ksi
200 ksi
Determine the Poisson’s ratio of a material whose modulus of elasticity is 200 GPa and whose modulus of rigidity is 80 GPa.
0.33
0.25
0.38
0.22
This is defined as the cutting time to reach a predetermined wear, called the tool wear criterion.
Wear duration
Cycle time
Tool life
Life cycle
This alloy (nickel, iron, chromium, cobalt is a non-magnetic, corrosion resistant material suitable for sub-zero temperatures and temperatures up to
about 750 degrees F., provided that torsional stresses are kept below 75,000 pounds per square inch. It is precipitation-hardened to produce
hardnesses of 48 to 50 Rockwell C and is used in watch and instrument springs.
Elinvar
Monel
Inconel
Dynavar
How do you call a statistical data used to identify the most likely failure modes?
Finite element analysis
Fault free analysis
Failure analysis
Random analysis
Which of the following ferrous metals has the lowest carbon content?
Carbon steel
Wrought iron
Cast iron
SAE 4140
How do you call a fixed crane consisting of a supported vertical member from which extends a horizontal swinging arm carrying a trolley hoist or other
hoisting mechanism?
Jib crane
Gantry crane
Overhead crane
Tower crane
What is an arc of the pitch circle of a spur gear through which a tooth travels from its contact with the mating tooth at the pitch point where the contact
ceases?
Arc of action
Arc of approach
Arc of recess
Involute curve
What is the polar section modulus of a solid shaft with a diameter of 101.6 mm?
209.5 cm3
209.5 cm4
205.9 cm3
205.9 cm4
This type of spring incorporates a standard helical compression spring with two looped wire devices inserted through the inside of spring.
Helical compression spring
Drawbar spring
Helical extension spring
Leaf spring
Which of the following is not true for an instant center or centro of planar linkages?
Centro is a point common to two bodies having the same velocity in each.
Centro is a point in one body about which another body does not rotate.
Centro is a point in one body about which another body actually turns.
Centro is a point in one body about which another body tends to turn.
What is the other term for the Maximum-Shear-Stress Theory, as a failure prediction theory?
von Mises criterion
Tresca yield criterion
Coulomb-Mohr theory
Modified Mohr theory
A casting weighing 300 pounds is to be lifted by means of an overhead crane. The casting is lifted 10 feet in 12 seconds. What is the horsepower
developed?
0.54
0.84
0.95
0.45
A single square thread power screw is to raise a load of 70 kN. The screw has a major diameter of 36 mm and a pitch of 6 mm. The coefficient of
thread friction and collar friction are 0.13 and 0.10 respectively. If the collar mean diameter is 90 mm and the screw turns at 60 rpm, find the axial linear
speed of the screw.
5 mm/s
6 mm/s
7 mm/s
8 mm/s
Find the work possess for a helium gas at 20°C.
609 kJ/kg
168 kJ/kg
229 kJ/kg
339 kJ/kg
Two kilogram of gas is confined in a 1 m3 tank at 200 kPa and 88°C. What type of gas is in the
tank?
Helium
Ethane
Methane
Ethene
Find the enthalpy of Helium if its internal energy is 200 kJ/kg.
144 kJ/kg
223.42 kJ/kg
333.42 kJ/kg
168 kJ/kg
Compute the mass of a 2 m3 propane at 280 kPa and 40°C.
6.47 kg
5.1 kg
10.20 kg
9.47 kg
Compute the air flow in ft3/min of mechanical ventilation required to exhaust an
accumulation of refrigerant due to leaks of the system capable of revolving air from the machinery for a mass of 4 lbs refrigerant.
200
210
220
230
A peach grower estimates that if he picks his crop now, he will obtain 1000 lugs of peaches, which he can sell at $1.00 per lug. However, he estimates that his crop will increase by an additional 60 lugs of peaches for each week, which he delays picking, but the price will drop at a rate of $0.025 per lug per week. In addition, he will experience a spoilage rate of approximately ten lugs for each week he delays. How long should he wait to maximize his revenue before picking the peaches?
2 weeks
4 weeks
11 weeks
10 weeks
A local engineering professor acts as a technical advisor for the city council in a town. A few weeks before the commission is scheduled to award a large construction contract, the professor is approached by one of the competing companies and offered a consulting position. Under what circumstances would it be ethical to accept the job?
(A) Both the company and the council must know about and approve the arrangement.
(B) The professor should arrange not to begin work until after the council's vote.
(C) The professor may accept the job if the advisory position to the council is a volunteer.
(D) The professor must not participate in any discussions concerning the project for which the company is competing.
Two engineers submitted sealed bids to a prospective client for a design project. The client told Engineer A how much Engineer B had bid and invited Engineer A to beat that amount. Engineer A really wants the project and believes he can do a better job than engineer B. What should he do?
He should remain in consideration for the project but not change his bid.
He should submit another quote, but only if he can perform the work adequately at a reduced price.
He should withdraw from consideration for the project.
He should bargain with the client for the cost of the work.
An engineering professor with a professional engineering license and 20 years of experience in engineering education is asked to consult on a building design. Can the professor accept the request?
Yes, a professor is a subject matter expert and, as such, should be fully competent to review the design.
Yes, but she should review and comment on only those portions of the project in which she is qualified by education and experience.
Yes, as a licensed professional engineer, the professor has demonstrated her competence in engineering and may review the design.
No, there is a tremendous difference between working in academia and having professional experience. A practicing engineer should conduct the review.
Mary Anna works for a company in its laboratory division. She is required to keep accurate records of the results of her experimental work. What is the first thing Rebecca should log into her lab notebook?
the date and time
her name
her position
her supervisor's name
The plastic deformation process produced by dislocation motion is called ___.
Shear
Slip
Strengthen
Answer is not among the choices
_____ Is the response of a control system when subjected to a sudden change in Input.
stability
transient response
sensitivity
. steady-state response
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 basic EOQ model with no shortages?
There is an upper bound on the quantity ordered.
The demand rate is uniform and constant.
. There is a positive cost on each unit inventoried.
. The entire reorder quantity is delivered instantaneously.
A circuit draws 5000 Kva with a power factor of 0.72. What size of capacitor is required to increase the power factor to 0.86? The 60 hz line voltage is 220 V (rms).
0.04 Farad
0.07 Farad
160 Farad
14 Farad
What is the average power dissipated by an electric heater with resistance of 50 drawing a current of 20 sin (30t) A?
20 kW
10 kW
0 kW
14.14 kW
An annulus is a plane figure which is composed of two concentric
circles. The area of the annulus can be calculated by getting the difference between the area of the larger circle and the area of the
smaller circle. Also, its area can be calculated by removing the hole.
This method is called
. Law of reduction
Law of extremities
Law of deduction
Sharp theorem
Progressive change in the position of a body is called:
Acceleration
Motion
Force
Momentum
It is one that is not appreciably deformed by the action of any external force or load.
Frame
Structure
Rigid Body
Mechanism
The follower reciprocates or oscillates in a plane parallel to the axis of rotation.
Cam curves
Tangential cam
cylindrical cam
Radial cam
Two or more forces acting together could be replaced by a single force with the same effect in a mass called:
Resultant
Concurrent force
Concurrent forces
Couple of force
The maximum stress to which a material may be subjected before failure occurs:
Ultimate stress
Yield stress
Rupture stress
Allowable stress
To finally complete the milling work of steel material, the operator has the option to choose the better
available cutter in stock and these are both a.5 inches diameter, high-speed steel with recommended cutting
speed of 90 fpm, carbide tipped with a cutting speed of 300 fpm. Compute the rpm of the cutter.
764
376
673
746
A flywheel weighing 450 kg has a radius of 375 mm. How much energy, in N-m, does the flywheel loss from
180 rpm to 168 rpm?
1,451.33
1,541.33
1,472.33
1,433.51
An idler gear of 24 teeth is installed between the 12-tooth pinion with a turning speed of 1,800 rpm and a
driven 60-tooth gear. Determine the speed of the driven gear and its direction relative to the driving gear
rotation.
360 rpm and opposite direction
630 rpm and opposite direction
630 rpm and the same direction
360 rpm and the same direction
What is nominal shear stress at the surface of a 50 mm diameter shaft that is subjected to a torque of 0.48 kN-m?
19.56 Mpa
21.65 Mpa
16.95 Mpa
25.12 Mpa
Determine the permissible working stress of UNC bolts that has a stress area of 0.606 in2 if material used is
carbon steel. Where: C for carbon steel = 5,000 and C for alloy steel = 15,000
4,055.5 psi
5,244.5 psi
4,675.5 psi
4,186.5 psi
. It is good design practice for steel line shafting to consider a limit to the linear deflection of _____ inch/foot length maximum.
0.010
0.050
0.020
0.060
A cantilever beam has a uniformly increasing load toward the fixed end.
has a uniform shear
has a reaction equal to the load
will have a maximum bending moment midway to the beam
has a reaction that is not equal to the load
The ability of material or metal to resist being crushed is
Compressive strength
Torsional strength
Bending strength
Fatigue strength
A bearing 2.085 inches in diameter and 1.762 in long supports a journal running at 1,200 rpm. It operates satisfactorily with a diametral clearance of 0.0028 in and a total radial load of 1,400 lbs. at 160 °F operating temperature of the oil film, the bearing modulus Zn/P was found to be 18.48. Determine the bearing stress.
381 psi
281 psi
481 psi
581 psi
A 30 mm diameter steel shaft is subjected to a maximum bending moment of 100 N-m; an axial tensile force of 5,000 N and a torque of 200 N.m. If Sy = 240 Mpa, determine the factor of safety using maximum shear stress theory.
5.47
7.54
4.75
7.45
A certain job can be finished by 18
workers in 26 days, how many
workers are needed to finish the job
in 12 days?
45
39
30
24
Given the numerals 9, 2, 7, 5, what is
the difference between the largest
3-digit number and the smallest 3-
digit number that can be formed
from these numerals if no digits are
repeated in a number?
777
718
500
448
You have a bag filled with 20 green
marbles, 9 red marbles, and 16
green marbles. You randomly select
a marble from the bag. What is the
probability that you select a red
marble?
5/9
16/45
5
5/108
A bomb was dropped in an area
where rebels were hiding. The
perimeter of the damage area was
480 meter and width were 15
meters. What was the length of the
damage area?
300 m
275 m
225 m
125 m
Pipe D can fill a swimming pool in
three hours while Pipe C can fill the
same pool in two hours. If Pipe D
and Pipe C are both open, how long
will they fill the swimming pool?
1.2 hrs
1.5 hrs
2 hrs
5 hrs
Together, Mark, Cardo, and
Christopher earn ₱72,000 a month,
If Mark earns ₱6,000 more than
Cardo and ₱9,000 more than
Christopher, how much does Jose
earn?
₱29,000
₱25,000
₱23,000
₱22,000
When Mr. Catapang was asked about
his age, he replied " I am half
century, half score and half decade
old". How old is he in years?
65
70
75
80
If a car travels 96 miles on 8
liters of gas, how far can the car
travel on a full tank of gas that holds
20 liters?
240
230
235
245
In a class of 58 students, 14 are
females. What is the ratio of males
to females?
22:7
29:7
7:29
7:22
Which of the length is the smallest?
150 cm
4199 mm.
445 m.
0.451 km.
What is the sum of all two digit
numbers divisible by 5?
945
950
960
1050
How many gallons of water will fill
the fish tank that is 18 inches by 12
inches by 48 inches? (There are 231
cubic inches per gallon) Round your
answer to the nearest gallon.
47 gallons
45 gallons
40 gallons
48 gallons
A music collector has 1200 CDs, and
65% of them were produced after
1990. How many CDs were
produced before 1990?
420
540
660
780
A traveler was helped by the other
passengers for his extra weight of
112 kg. There were three travelers
who gave their allotment of 25 kg.
How much more extra weight will
he need to pay?
37
35
48
38
What is the sea level (g = 32.2 ft/sec2) specific weight (lbf/ft3) of liquids with densities of 65.5 lbm/ft3?
32.2
42.2
65.5
76.7
An oil has a kinematic viscosity of 1.25 x 10-4 m2/s and a specific gravity of 0.80. What is its dynamic (absolute) viscosity in kg/(m-s)?
0.08
0.10
0.125
1.0
Water is flowing in a pipe with radius of 12 inches and a velocity of 11 m/sec. The viscosity of water is 1.131 Pa-sec. What is the Reynolds Number?
2964
5930
58
9189
On a sea-level standard day, a pressure gage, moored below the surface of the ocean (SG = 1.025), reads an absolute pressure of 1.4 MPa. How deep is the instrument?
4 m
129 m
133 m
140 m
1. Calculate the discharge in liters per second through a 5 in diameter orifice under a head of 7.6 m of water. Assume coefficient of discharge of 0.65.
78
1547
77
100
A piece of metal of specific gravity 7 floats in mercury of specific gravity 13.6. What metal fraction of its volume is under Mercury?
0.4
0.5
0.83
0.515
Water at 20°C flows up a straight in the 180-mm-diameter pipe that slopes at 12° to the horizontal. Find the shear stress at the wall if the pressure is 100 kPa at point 1 and 25 kPa at higher point 2 that is 30 m further long the pipe.
25.1 Pa
20.9 Pa
23.1 Pa
32.1 Pa
Water flows through a pipe at 14 cfs. At a point where the pipe diameter is 18-in, the pressure is 30 psi; at a second point, further along, the flow path and 2-ft lower than the first point, the diameter is 9-in and the pressure is 18 psi. Find the pipe friction head loss between the two points. Neglect other head losses.
15.07 ft
12.23 ft
18.21 ft
43.12
A 100 g of water are mixed with 150 g of another fluid (p=790 kg/m3). What is the specific volume of the resulting mixture, assuming that the volumes are additive and the mixture is homogeneous?
0.63
0.86
0.82
0.95
A perfect venturi with throat diameter of 1.8 inches is placed horizontally in a pipe with a 5 in inside diameter. Eighty (80) lbm of water flow through the pipe each second. What is the difference between the pipe and venture throat static pressure?
29.9 psi
34.8 psi
5020 psi
72.3 psi
