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NATIONAL QUIZ 2025

Total questions: 100

Worksheet time: 2hrs 40mins

Name
Class
Date
1.

Equations that are written in terms of variables.

a)

trigonometric equations

b)

algebraic equations

c)

geometric equations

d)

none of these

2.

Is the mathematical statement of equality.

a)

variable

b)

constant

c)

equation

d)

none of these

3.

Are numbers that can be written as the ratio of two integers.

a)

irrational numbers

b)

rational numbers

c)

projected numbers

d)

none of these

4.

Consist of rational numbers and irrational numbers.

a)

complex numbers

b)

real numbers

c)

imaginary numbers

d)

none of these

5.

The ______ consist of three types of numbers: real, imaginary and complex.

a)

numbering system

b)

imaginary system

c)

graphical system

d)

none of these

6.

A legally binding agreement two personalities having an agreement

a)

sign-up

b)

contract

c)

agreement

d)

deal

7.

A tax on imports

a)

export tax

b)

export tariff

c)

import tax

d)

import tariff

8.

Maximum plant capacity in which a licensed ME is allowed to operate tend or maintain

a)

300 kw

b)

2000 kw

c)

1000 kw

d)

6000 kw

9.

The new Mechanical Engineering Law which was signed last February 12, 1998 is known as

a)

RA 8945

b)

RA 8495

c)

RA 8954

d)

RA 8549

10.

All circles having the same center but with unequal radii are called

a)

tangent circles

b)

unequal circles

c)

eccentric circle

d)

concentric circle

11.

The PRC accredited national for mechanical engineers

a)

ASME

b)

PSME

c)

PAMEE

d)

PICE

12.

What is work in process classified as

a)

a revenue

b)

a liability

c)

an expose

d)

an asset

13.

Estimated value at the end of the useful life

a)

salvage value

b)

compounded annually

c)

economic life

d)

balance sheet

14.

Kind of obligation which has no condition attached

a)

analytic

b)

pure

c)

gratuitous

d)

private

15.

Points that lie on the same plane

a)

coplanar

b)

oblique

c)

parallel

d)

collinear

16.

A fund into which annual deposits of A are made in order to accumulate fund F at N years in

the feature

a)

amortization

b)

depreciation

c)

annuity

d)

sinking fund

17.

A civil wrong committed by one person causing damage to another person or his property of

reputation

a)

tort

b)

negligence

c)

material brench

d)

fraud

18.

Intangible assets of a corporation or company

a)

investment

b)

equity

c)

dacion-en-pago

d)

patents

19.

Cash money credit necessary to established and operate an enterprise

a)

funds

b)

assets

c)

capital

d)

liabilities

20.

Modes of extinguishing obligation when creditor abandon his right to collect

a)

condonation

b)

forfeiture

c)

debt cancellation

d)

liquidated damages

21.

The altitudes of the

sides of a triangle

intersects at the point

known as

a)

orthocenter

b)

incenter

c)

circumcenter

d)

centroid

22.

Find the perimeter of the ellipse 9x2 + 18x + 25y2 - 100y = 116.

a)

25.90

b)

26.90

c)

27.90

d)

24.90

23.

A theory in cyclic and

impact loading, which

states that damage at any

stress level is proportional

to number of cycles.

a)

Miner’s Rule

b)

Paris Power Law

c)

Goodman Rule

d)

Manson

-Coffin

Relationship

24.

A certain angle has an

explement 5 times the

supplement, find the

angle.

a)

115°

b)

125°

c)

135°

d)

145°

25.

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.

a)

4.15 m/s2

b)

6.15 m/s2

c)

6.25 m/s2

d)

4.25 m/s2

26.

The graph of r = a + bcosθ

is a

a)

lemniscate

b)

lituus

c)

limacon

d)

cardioid

27.

A number system using a place value ( or

base) of 60.

a)

SENARY NUMBER SYSTEM

b)

SEPTENARY NUMBER SYSTEM

c)

SEXAGESIMAL NUMBER SYSTEM

d)

SEXADECIMAL NUMBER SYSTEM

28.

One joule of work is done by a force of one

Newton acting through a distance of:

a)

ONE CENTIMETER

b)

ONE INCH

c)

ONE METER

d)

ONE FOOT

29.

The rate of laminar water flow in a saturated

soil can be calculated using:

a)

A MOODY DIAGRAM

b)

THE BERNOULLI EQUATION

c)

DARCY’S LAW

d)

THE HAZEN-WILLIAMS FORMULA

30.

The action of bringing one geometric figure

into coincidence with another is called

a)

TRANSPOSITION

b)

TRANSLATION

c)

SUPERPOSITION

d)

PROJECTION

31.

The radius of the earth used in spherical

trigonometry is

a)

3989 STATUTE MILES

b)

3979 STATUTE MILES

c)

3969 STATUTE MILES

d)

3959 STATUTE MILES

32.

A steel has a BHN = 300. What is its approximate ultimate strength in ksi?

a)

300 ksi

b)

150 ksi

c)

75 ksi

d)

200 ksi

33.

Determine the Poisson’s ratio of a material whose modulus of elasticity is 200 GPa and whose modulus of rigidity is 80 GPa.

a)

0.33

b)

0.25

c)

0.38

d)

0.22

34.

This is defined as the cutting time to reach a predetermined wear, called the tool wear criterion.

a)

Wear duration

b)

Cycle time

c)

Tool life

d)

Life cycle

35.

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.

a)

Elinvar

b)

Monel

c)

Inconel

d)

Dynavar

36.

How do you call a statistical data used to identify the most likely failure modes?

a)

Finite element analysis

b)

Fault free analysis

c)

Failure analysis

d)

Random analysis

37.

Which of the following ferrous metals has the lowest carbon content?

a)

Carbon steel

b)

Wrought iron

c)

Cast iron

d)

SAE 4140

38.

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?

a)

Jib crane

b)

Gantry crane

c)

Overhead crane

d)

Tower crane

39.

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?

a)

Arc of action

b)

Arc of approach

c)

Arc of recess

d)

Involute curve

40.

What is the polar section modulus of a solid shaft with a diameter of 101.6 mm?

a)

209.5 cm3

b)

209.5 cm4

c)

205.9 cm3

d)

205.9 cm4

41.

This type of spring incorporates a standard helical compression spring with two looped wire devices inserted through the inside of spring.

a)

Helical compression spring

b)

Drawbar spring

c)

Helical extension spring

d)

Leaf spring

42.

Which of the following is not true for an instant center or centro of planar linkages?

a)

Centro is a point common to two bodies having the same velocity in each.

b)

Centro is a point in one body about which another body does not rotate.

c)

Centro is a point in one body about which another body actually turns.

d)

Centro is a point in one body about which another body tends to turn.

43.

What is the other term for the Maximum-Shear-Stress Theory, as a failure prediction theory?

a)

von Mises criterion

b)

Tresca yield criterion

c)

Coulomb-Mohr theory

d)

Modified Mohr theory

44.

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?

a)

0.54

b)

0.84

c)

0.95

d)

0.45

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.

a)

5 mm/s

b)

6 mm/s

c)

7 mm/s

d)

8 mm/s

46.

Find the work possess for a helium gas at 20°C.

a)

609 kJ/kg

b)

168 kJ/kg

c)

229 kJ/kg

d)

339 kJ/kg

47.

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?

a)

Helium

b)

Ethane

c)

Methane

d)

Ethene

48.

Find the enthalpy of Helium if its internal energy is 200 kJ/kg.

a)

144 kJ/kg

b)

223.42 kJ/kg

c)

333.42 kJ/kg

d)

168 kJ/kg

49.

Compute the mass of a 2 m3 propane at 280 kPa and 40°C.

a)

6.47 kg

b)

5.1 kg

c)

10.20 kg

d)

9.47 kg

50.

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.

a)

200

b)

210

c)

220

d)

230

51.

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?

a)

2 weeks

b)

4 weeks

c)

11 weeks

d)

10 weeks

52.

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)

(A) Both the company and the council must know about and approve the arrangement.

b)

(B) The professor should arrange not to begin work until after the council's vote.

c)

(C) The professor may accept the job if the advisory position to the council is a volunteer.

d)

(D) The professor must not participate in any discussions concerning the project for which the company is competing.

 

53.

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?

a)

He should remain in consideration for the project but not change his bid.

b)

He should submit another quote, but only if he can perform the work adequately at a reduced price.

c)

He should withdraw from consideration for the project.

d)

He should bargain with the client for the cost of the work.

54.

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?

a)

Yes, a professor is a subject matter expert and, as such, should be fully competent to review the design.

b)

Yes, but she should review and comment on only those portions of the project in which she is qualified by education and experience.

c)

Yes, as a licensed professional engineer, the professor has demonstrated her competence in engineering and may review the design.

d)

No, there is a tremendous difference between working in academia and having professional experience. A practicing engineer should conduct the review.

55.

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?

a)

the date and time

b)

her name

c)

her position

d)

her supervisor's name

56.

The plastic deformation process produced by dislocation motion is called ___.

a)

Shear

b)

Slip

c)

Strengthen

d)

Answer is not among the choices

57.

_____ Is the response of a control system when subjected to a sudden change in Input.

a)

stability   

b)

transient response

c)

sensitivity

d)

. steady-state response

58.

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?

a)

There is an upper bound on the quantity ordered.

 

b)

The demand rate is uniform and constant.

c)

. There is a positive cost on each unit inventoried.

d)

. The entire reorder quantity is delivered instantaneously.

59.

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).

a)

0.04 Farad

b)

0.07 Farad

c)

160 Farad

d)

14 Farad

60.

What is the average power dissipated by an electric heater with resistance of 50 drawing a current of 20 sin (30t) A?

a)

20 kW

b)

10 kW

c)

0 kW

d)

14.14 kW

61.

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

a)

. Law of reduction

b)

Law of extremities

c)

Law of deduction

d)

Sharp theorem

62.

Progressive change in the position of a body is called:

a)

Acceleration

b)

Motion

c)

Force

d)

Momentum

63.

It is one that is not appreciably deformed by the action of any external force or load.

a)

Frame

b)

Structure

c)

Rigid Body

d)

Mechanism

64.

The follower reciprocates or oscillates in a plane parallel to the axis of rotation.

a)

Cam curves

b)

Tangential cam

c)

cylindrical cam

d)

Radial cam

65.

Two or more forces acting together could be replaced by a single force with the same effect in a mass called:

a)

Resultant

b)

Concurrent force

c)

Concurrent forces

d)

Couple of force

66.

The maximum stress to which a material may be subjected before failure occurs:

a)

Ultimate stress

b)

Yield stress

c)

Rupture stress

d)

Allowable stress

67.

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.

a)

764

b)

376

c)

673

d)

746

68.

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?

a)

1,451.33

b)

1,541.33

c)

1,472.33

d)

1,433.51

69.

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.

a)

360 rpm and opposite direction

b)

630 rpm and opposite direction

c)

630 rpm and the same direction

d)

360 rpm and the same direction

70.

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?

 

a)

19.56 Mpa

b)

21.65 Mpa

c)

16.95 Mpa

d)

25.12 Mpa

71.

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

a)

4,055.5 psi       

b)

5,244.5 psi

c)

4,675.5 psi

d)

4,186.5 psi

72.

. It is good design practice for steel line shafting to consider a limit to the linear deflection of _____ inch/foot length maximum.

                    

a)

0.010

b)

0.050

c)

0.020

d)

0.060

73.

A cantilever beam has a uniformly increasing load toward the fixed end.

a)

has a uniform shear

b)

has a reaction equal to the load

c)

will have a maximum bending moment midway to the beam

d)

has a reaction that is not equal to the load

74.

The ability of material or metal to resist being crushed is

a)

Compressive strength

b)

Torsional strength

c)

Bending strength

d)

Fatigue strength

75.

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.

a)

381 psi

b)

281 psi

c)

481 psi

d)

581 psi

76.

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.

a)

5.47

b)

7.54

c)

4.75

d)

7.45

77.

A certain job can be finished by 18

workers in 26 days, how many

workers are needed to finish the job

in 12 days?

a)

45

b)

39

c)

30

d)

24

78.

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?

a)

777

b)

718

c)

500

d)

448

79.

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?

a)

5/9

b)

16/45

c)

5

d)

5/108

80.

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?

a)

300 m

b)

275 m

c)

225 m

d)

125 m

81.

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?

a)

1.2 hrs

b)

1.5 hrs

c)

2 hrs

d)

5 hrs

82.

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?

a)

₱29,000

b)

₱25,000

c)

₱23,000

d)

₱22,000

83.

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?

a)

65

b)

70

c)

75

d)

80

84.

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?

a)

240

b)

230

c)

235

d)

245

85.

In a class of 58 students, 14 are

females. What is the ratio of males

to females?

a)

22:7

b)

29:7

c)

7:29

d)

7:22

86.

Which of the length is the smallest?

a)

150 cm

b)

4199 mm.

c)

445 m.

d)

0.451 km.

87.

What is the sum of all two digit

numbers divisible by 5?

a)

945

b)

950

c)

960

d)

1050

88.

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.

a)

47 gallons

b)

45 gallons

c)

40 gallons

d)

48 gallons

89.

A music collector has 1200 CDs, and

65% of them were produced after

1990. How many CDs were

produced before 1990?

a)

420

b)

540

c)

660

d)

780

90.

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?

a)

37

b)

35

c)

48

d)

38

91.

What is the sea level (g = 32.2 ft/sec2) specific weight (lbf/ft3) of liquids with densities of 65.5 lbm/ft3?

a)

     32.2

b)

     42.2

c)

65.5

d)

76.7

92.

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)?

a)

0.08

b)

0.10

c)

0.125

d)

1.0

93.

  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?

a)

2964

b)

5930

c)

58

d)

9189

94.

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?

a)

4 m

b)

129 m

c)

133 m

d)

140 m

95.

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.

a)

78

b)

1547

c)

77

d)

100

96.

  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?

a)

0.4

b)

0.5

c)

0.83

d)

0.515

97.

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.

a)

25.1 Pa

b)

20.9 Pa

c)

23.1 Pa

d)

32.1 Pa

98.

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.

a)

15.07 ft

b)

12.23 ft

c)

18.21 ft

d)

43.12

99.

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?

a)

0.63

b)

0.86

c)

0.82

d)

0.95

100.

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?

a)

29.9 psi

b)

34.8 psi

c)

5020 psi

d)

72.3 psi