The resultant of two equal forces acting at right angles is:
A
Equal to one force
B
√2 times one force
C
Twice one force
D
Zero
Question 2Single Answer
What is the condition for a body to be in equilibrium?
A
Net force and net moment are zero
B
Net force is maximum
C
Net moment is maximum
D
Acceleration is constant
Question 3Single Answer
Which of the following is a necessary condition for static equilibrium?
A
Sum of forces equals zero
B
Sum of velocities equals zero
C
Sum of accelerations equals zero
D
Sum of energies equals zero
Question 4Single Answer
A body is in translational equilibrium when:
A
Net force acting on it is zero
B
Net torque acting on it is zero
C
Net velocity is constant
D
Net acceleration is constant
Question 5Single Answer
What is the primary requirement for rotational equilibrium?
A
Sum of forces equals zero
B
Sum of torques equals zero
C
Sum of velocities equals zero
D
Sum of energies equals zero
Question 6Single Answer
Which law is used to analyze equilibrium in mechanics?
A
Newtonโs First Law
B
Newtonโs Second Law
C
Newtonโs Third Law
D
Law of Gravitation
Question 7Single Answer
A beam supported at two points is an example of:
A
Dynamic equilibrium
B
Static equilibrium
C
Unstable equilibrium
D
Neutral equilibrium
Question 8Single Answer
The point where the entire weight of a body appears to act is called:
A
Center of mass
B
Center of pressure
C
Center of rotation
D
Center of equilibrium
Question 9Single Answer
In a system under equilibrium, the sum of clockwise moments is equal to:
A
Sum of counterclockwise moments
B
Sum of forces
C
Sum of velocities
D
Sum of energies
Question 10Single Answer
Which type of force does not contribute to equilibrium?
A
External force
B
Internal force
C
Frictional force
D
Gravitational force
Question 11Single Answer
A body in equilibrium can be at rest or:
A
Accelerating uniformly
B
Moving with constant velocity
C
Decelerating uniformly
D
Rotating with constant acceleration
Question 12Single Answer
The equilibrium condition for a planar system requires how many independent equations?
A
Two
B
Three
C
Four
D
Five
Question 13Single Answer
Which of the following is an example of a concurrent force system?
A
Forces acting at different points
B
Forces meeting at a single point
C
Forces acting parallel to each other
D
Forces acting perpendicular to each other
Question 14Single Answer
The principle of transmissibility applies to:
A
Internal forces
B
External forces
C
Frictional forces
D
Non-conservative forces
Question 15Single Answer
A couple in equilibrium produces:
A
Translation only
B
Rotation only
C
Both translation and rotation
D
Neither translation nor rotation
Question 16Single Answer
What is the unit of moment in the SI system?
A
Newton
B
Newton-meter
C
Joule
D
Watt
Question 17Single Answer
Which of the following is true for a body in stable equilibrium?
A
It returns to its original position after disturbance
B
It moves further away after disturbance
C
It remains in a new position after disturbance
D
It oscillates indefinitely
Question 18Single Answer
The equilibrium of a body under three forces requires that the forces are:
A
Parallel
B
Coplanar and concurrent
C
Perpendicular
D
Non-coplanar
Question 19Single Answer
Lamiโs theorem is applicable to:
A
Non-concurrent forces
B
Three concurrent forces in equilibrium
C
Parallel forces
D
Dynamic forces
Question 20Single Answer
The moment of a force about a point is zero when the force:
A
Passes through the point
B
Is parallel to the point
C
Is perpendicular to the point
D
Is at maximum distance
Question 21Single Answer
A system of forces is in equilibrium if the resultant force is:
A
Maximum
B
Minimum
C
Zero
D
Constant
Question 22Single Answer
Which type of equilibrium occurs when a body remains in position after a slight disturbance?
A
Stable equilibrium
B
Unstable equilibrium
C
Neutral equilibrium
D
Dynamic equilibrium
Question 23Single Answer
A truss is in equilibrium if:
A
All members are under tension
B
All joints satisfy equilibrium conditions
C
All members are under compression
D
All forces are parallel
Question 24Single Answer
The minimum number of forces required for equilibrium in a coplanar system is:
A
One
B
Two
C
Three
D
Four
Question 25Single Answer
Which of the following is a scalar quantity in equilibrium analysis?
A
Force
B
Moment
C
Velocity
D
Work
Question 26Single Answer
What is the purpose of equation experiments in engineering mechanics?
A
To measure velocity
B
To verify equilibrium equations
C
To calculate energy loss
D
To determine acceleration
Question 27Single Answer
Which equation is commonly tested in equilibrium experiments?
A
ΣF = ma
B
ΣF = 0
C
ΣP = mv
D
ΣE = mc2
Question 28Single Answer
An experiment to verify Lamiโs theorem involves:
A
A single force
B
Three concurrent forces
C
Parallel forces
D
Non-coplanar forces
Question 29Single Answer
In an equilibrium experiment, the sum of moments about a point is:
A
Maximum
B
Minimum
C
Zero
D
Constant
Question 30Single Answer
Which apparatus is commonly used to study equilibrium of forces?
A
Force table
B
Pendulum
C
Spring balance
D
Inclined plane
Question 31Single Answer
An experiment to verify equilibrium of a beam involves:
A
Measuring acceleration
B
Balancing forces and moments
C
Calculating kinetic energy
D
Determining velocity
Question 32Single Answer
The principle of moments is verified in experiments by ensuring:
A
Sum of forces equals zero
B
Sum of moments equals zero
C
Sum of velocities equals zero
D
Sum of energies equals zero
Question 33Single Answer
In a force table experiment, the resultant force is:
A
Maximum
B
Minimum
C
Zero
D
Constant
Question 34Single Answer
Which of the following is measured in an equilibrium experiment?
A
Acceleration
B
Force magnitudes and angles
C
Velocity
D
Kinetic energy
Question 35Single Answer
An experiment to verify equilibrium of concurrent forces uses:
A
A single weight
B
Multiple weights suspended from a point
C
A rotating disc
D
A moving cart
Question 36Single Answer
The accuracy of an equilibrium experiment depends on:
A
Friction in the system
B
Precise measurement of forces and angles
C
Velocity of the system
D
Temperature of the environment
Question 37Single Answer
In an experiment, if the sum of forces is not zero, the system is:
A
In equilibrium
B
In motion
C
At rest
D
In stable equilibrium
Question 38Single Answer
Which theorem is tested in experiments with three forces meeting at a point?
A
Varignonโs theorem
B
Lamiโs theorem
C
Bernoulliโs theorem
D
Archimedesโ principle
Question 39Single Answer
An equilibrium experiment with a beam requires:
A
A single support
B
At least two supports
C
No supports
D
A rotating pivot
Question 40Single Answer
The force table experiment verifies:
A
Newtonโs Second Law
B
Equilibrium of concurrent forces
C
Conservation of energy
D
Conservation of momentum
Question 41Single Answer
In an equilibrium experiment, the role of a pulley is to:
A
Increase friction
B
Redirect forces
C
Measure velocity
D
Calculate energy
Question 42Single Answer
Which of the following is a common source of error in equilibrium experiments?
A
Accurate measurements
B
Friction in pulleys
C
Constant temperature
D
Stable supports
Question 43Single Answer
An experiment to verify the principle of moments uses:
A
A lever or beam
B
A spring
C
A pendulum
D
A rotating wheel
Question 44Single Answer
The equilibrium of a rigid body is tested by ensuring:
A
Sum of forces and moments is zero
B
Sum of velocities is zero
C
Sum of energies is zero
D
Sum of accelerations is zero
Question 45Single Answer
In an equilibrium experiment, the resultant moment is:
A
Maximum
B
Minimum
C
Zero
D
Constant
Question 46Single Answer
Which instrument is used to measure angles in a force table experiment?
A
Protractor
B
Vernier caliper
C
Micrometer
D
Ruler
Question 47Single Answer
An experiment to verify equilibrium of parallel forces involves:
A
A single force
B
Forces acting in the same direction
C
Forces acting in opposite directions
D
Non-coplanar forces
Question 48Single Answer
The purpose of weights in an equilibrium experiment is to:
A
Increase friction
B
Apply known forces
C
Measure velocity
D
Calculate energy
Question 49Single Answer
In an equilibrium experiment, the system is considered ideal if:
A
Friction is maximum
B
Friction is negligible
C
Velocity is constant
D
Acceleration is constant
Question 50Single Answer
An experiment to verify equilibrium of a truss involves:
A
Measuring joint forces
B
Calculating kinetic energy
C
Determining velocity
D
Measuring temperature
Important Questions Package
BPSC Vice Principal Exam Online Question Bank Package
Buy BPSC Vice Principal Important Questions, MCQ, question answer in Hindi & English. It will help you to score high marks in BPSC Vice Principal question bank 2026 in Online, PDF & Print study material.
+ Free Monthly Current Affairs, GK & more PDF Download
Sr.
Package Name
Amount
1.
BPSC Vice Principal Exam - Hindi
Description : 1000 Question With Answer
โน101[โน500]
2.
BPSC Vice Principal Exam - Hindi
Description : 2000 Question With Answer
โน151[โน500]
3.
BPSC Vice Principal Exam - English
Description : 1000 Question With Answer
โน101[โน500]
4.
BPSC Vice Principal Exam - English
Description : 2000 Question With Answer
โน151[โน500]
5.
BPSC Vice Principal Exam - Hindi
Description : 1000 Question & Answer Download in PDF (Send by Email)
โน151[โน500]
6.
BPSC Vice Principal Exam - English
Description : 1000 Question & Answer Download in PDF (Send by Email)
โน151[โน500]
7.
BPSC Vice Principal Exam Question Bank Book - Hindi
Description : 1000 Question with Answer (Printed Material)
โน450[โน850]
8.
BPSC Vice Principal Exam Question Bank Book - English
Description : 1000 Question with Answer (Printed Material)
โน390[โน650]
General Engineering Science
Question 51Single Answer
Which of Newtonโs laws relates force to acceleration?
A
First Law
B
Second Law
C
Third Law
D
Law of Gravitation
Question 52Single Answer
The equation of motion for constant acceleration is:
A
v = u + at
B
F = ma
C
s = ut + at
D
v2 = u2 + a
Question 53Single Answer
What is the unit of acceleration in the SI system?
A
m/s
B
m/s2
C
m2/s
D
m2/s2
Question 54Single Answer
The equation s = ut + ยฝat2 represents:
A
Velocity
B
Acceleration
C
Displacement
D
Force
Question 55Single Answer
Which equation of motion relates velocity, acceleration, and displacement?
A
v = u + at
B
s = ut + ยฝat2
C
v2 = u2 + 2as
D
F = ma
Question 56Single Answer
The slope of a velocity-time graph gives:
A
Displacement
B
Acceleration
C
Velocity
D
Force
Question 57Single Answer
The area under a velocity-time graph represents:
A
Acceleration
B
Displacement
C
Force
D
Energy
Question 58Single Answer
A body moving with constant velocity has:
A
Zero acceleration
B
Constant acceleration
C
Variable acceleration
D
Maximum acceleration
Question 59Single Answer
The equation F = ma is derived from:
A
Newtonโs First Law
B
Newtonโs Second Law
C
Newtonโs Third Law
D
Law of Gravitation
Question 60Single Answer
Which quantity is a vector in motion equations?
A
Speed
B
Distance
C
Velocity
D
Time
Question 61Single Answer
The equation v2 = u2 + 2as is valid for:
A
Uniform motion
B
Uniformly accelerated motion
C
Non-uniform motion
D
Circular motion
Question 62Single Answer
The acceleration of a body falling freely under gravity is:
A
9.8 m/s2
B
9.8 m/s
C
98 m/s2
D
0 m/s2
Question 63Single Answer
The equation of motion for a body at rest is:
A
v = u + at
B
s = ut + ยฝat2
C
v2 = u2 + 2as
D
u = 0
Question 64Single Answer
The slope of a displacement-time graph gives:
A
Acceleration
B
Velocity
C
Force
D
Energy
Question 65Single Answer
A body moving in a straight line with constant acceleration follows:
A
Newtonโs First Law
B
Newtonโs Second Law
C
Newtonโs Third Law
D
Law of Gravitation
Question 66Single Answer
The equation s = ut + ยฝat2 assumes:
A
Constant velocity
B
Constant acceleration
C
Variable acceleration
D
Zero acceleration
Question 67Single Answer
The unit of velocity in the SI system is:
A
m/s
B
m/s2
C
m2/s
D
m2/s2
Question 68Single Answer
Which equation of motion is independent of time?
A
v = u + at
B
s = ut + ยฝat2
C
v2 = u2 + 2as
D
F = ma
Question 69Single Answer
The motion of a projectile is described by:
A
Linear equations
B
Quadratic equations
C
Exponential equations
D
Trigonometric equations
Question 70Single Answer
The equation v = u + at is valid for:
A
Uniform motion
B
Uniformly accelerated motion
C
Non-uniform motion
D
Circular motion
Question 71Single Answer
The acceleration of a body is zero when:
A
Velocity is constant
B
Velocity is maximum
C
Velocity is minimum
D
Velocity is variable
Question 72Single Answer
The equation of motion for a body with zero initial velocity is:
A
v = at
B
s = ut + ยฝat2
C
v2 = u2 + 2as
D
F = ma
Question 73Single Answer
The area under an acceleration-time graph represents:
A
Displacement
B
Velocity
C
Acceleration
D
Force
Question 74Single Answer
The equation of motion for a freely falling body with initial velocity zero is:
A
s = ยฝgt2
B
v = u + at
C
v2 = u2 + 2as
D
F = ma
Question 75Single Answer
The SI unit of energy is:
A
Joule
B
Watt
C
Newton
D
Pascal
Question 76Single Answer
Which of the following is a form of mechanical energy?
A
Thermal energy
B
Kinetic energy
C
Chemical energy
D
Nuclear energy
Question 77Single Answer
The formula for kinetic energy is:
A
ยฝmv2
B
mgh
C
Fd
D
Pt
Question 78Single Answer
The formula for potential energy due to gravity is:
A
ยฝmv2
B
mgh
C
Fd
D
Pt
Question 79Single Answer
Power is a:
A
Scalar quantity
B
Vector quantity
C
Tensor quantity
D
Dimensionless quantity
Question 80Single Answer
The work-energy theorem states that work done is equal to:
A
Change in kinetic energy
B
Change in potential energy
C
Change in total energy
D
Change in power
Question 81Single Answer
The unit of work is the same as the unit of:
A
Power
B
Energy
C
Force
D
Velocity
Question 82Single Answer
A body at rest has:
A
Kinetic energy only
B
Potential energy only
C
Both kinetic and potential energy
D
No energy
Question 83Single Answer
The power of a machine lifting a 100 kg load 10 m in 5 seconds is:
A
2000 W
B
1000 W
C
500 W
D
250 W
Question 84Single Answer
The conservation of mechanical energy applies when:
A
Non-conservative forces are present
B
Only conservative forces are acting
C
Friction is maximum
D
Acceleration is constant
Question 85Single Answer
The energy stored in a stretched spring is:
A
Kinetic energy
B
Potential energy
C
Thermal energy
D
Chemical energy
Question 86Single Answer
The formula for power is:
A
P = W/t
B
P = Fd
C
P = mv
D
P = ma
Question 87Single Answer
A body moving with constant velocity has constant:
A
Kinetic energy
B
Potential energy
C
Total energy
D
Power
Question 88Single Answer
The work done by a force is zero when:
A
Force is perpendicular to displacement
B
Force is parallel to displacement
C
Displacement is maximum
D
Force is maximum
Question 89Single Answer
The unit of energy is equivalent to:
A
Nm
B
Ns
C
N/m
D
N/s
Question 90Single Answer
The power required to lift a 50 kg mass 10 m in 2 seconds is:
A
2450 W
B
4900 W
C
1225 W
D
9800 W
Question 91Single Answer
The total mechanical energy of a system is the sum of:
A
Kinetic and potential energy
B
Kinetic and thermal energy
C
Potential and thermal energy
D
Kinetic and chemical energy
Question 92Single Answer
The energy of a body due to its position is called:
A
Kinetic energy
B
Potential energy
C
Thermal energy
D
Chemical energy
Question 93Single Answer
The power of a machine is 1000 W. The work done in 10 seconds is:
A
100 J
B
1000 J
C
10000 J
D
100000 J
Question 94Single Answer
The kinetic energy of a 2 kg object moving at 5 m/s is:
A
25 J
B
50 J
C
100 J
D
125 J
Question 95Single Answer
The potential energy of a 10 kg object at a height of 5 m is:
A
490 J
B
980 J
C
245 J
D
1960 J
Question 96Single Answer
The work done by a conservative force is:
A
Path-dependent
B
Path-independent
C
Always zero
D
Always maximum
Question 97Single Answer
The power delivered by a force of 10 N moving an object 5 m in 2 seconds is:
A
25 W
B
50 W
C
100 W
D
125 W
Question 98Single Answer
The energy of a body due to its motion is called:
A
Kinetic energy
B
Potential energy
C
Thermal energy
D
Chemical energy
Question 99Single Answer
The work done by friction is an example of:
A
Conservative force
B
Non-conservative force
C
Gravitational force
D
Electrostatic force
Question 100Single Answer
The kinetic energy of a body is proportional to:
A
Velocity
B
Square of velocity
C
Mass only
D
Height
General Aptitude
Question 101Single Answer
The cash difference between the selling prices of an article at a profit of 4% and 6% is Rs. 3. The ratio of the two selling prices is:__________ ?
A
51:52
B
52:53
C
51:53
D
52:55
Question 102Single Answer
Which of the following numbers is irrational ?
A
√49
B
0.125
C
√2
D
22/7
Question 103Single Answer
356 x 936 โ 356 x 836 = ?
A
35600ย ย
B
34500
C
9630
D
93600
Question 104Single Answer
Arrange in descending order: 5/8, 7/10, 3/4
A
3/4 > 7/10 > 5/8
B
7/10 > 3/4 > 5/8
C
3/4 > 5/8 > 7/10
D
5/8 > 7/10 > 3/4
Question 105Single Answer
What is (3^{4} times 9^{2}) ?
A
36
B
38
C
310
D
96
ย
Question 106Single Answer
If 34X-2 = 729, then find the value of X.
A
4ย ย ย ย ย
B
3
C
2ย
D
5
Question 107Single Answer
Convert 0.6 into fraction ?
A
3/5
B
2/3
C
4/5
Question 108Single Answer
The no. plate of a bus had peculiarity. The bus number was a perfect square. It was also a perfect square when the plate numbers were reversed. The bus company had only five hundred buses numbered from 1 to 500. What was the number ?
A
169ย ย
B
36
C
196ย
D
Can not say
Question 109Single Answer
If a and b are positive integers, such that ab = 125, then (a-b)a+b-4 = ?
A
16 ย ย
B
25
C
28 ย
D
30
Question 110Single Answer
If x*y = x2 + y2 โ xy, then value of 9*11 is
A
93ย ย ย ย ย
B
103
C
60.5
D
121
Question 111Single Answer
Which is greater ?
A
15/16
B
17/18
C
Equal
D
Cannot compare
Question 112Single Answer
If sum of two numbers is 42 and their product is 437, then find their difference.
A
3ย
B
4
C
5ย ย ย ย
D
7
Question 113Single Answer
Write the 44000 in Roman numerals
A
XLIย
B
XLVI
C
XLIVย
D
XLVIC
Question 114Single Answer
Convert 0.0909โฆ into fraction ?
A
1/11
B
9/11
C
1/9
D
9/10
Question 115Single Answer
What is (98 times 102) ?
A
9996
B
10000
C
10096
D
10196
Question 116Single Answer
Which is smaller ?
A
9/11
B
7/9
C
Equal
D
Cannot compare
Question 117Single Answer
Convert 0.5777โฆ into fraction ?
A
26/45
B
52/90
C
13/22
D
5/9
Question 118Single Answer
Convert 0.81 into fraction ?
A
81/100
B
9/10
C
8/9
D
9/11
Question 119Single Answer
(63)2 โ (12)2 =?
A
3528ย
B
3852
C
3582ย ย
D
3825
Question 120Single Answer
Which is greater ?
A
13/17
B
11/14
C
Equal
D
Cannot compare
Question 121Single Answer
16.928 + 24.7582ย 5.015 =?
A
20ย ย ย
B
24
C
22
D
26
Question 122Single Answer
Convert 0.75 into fraction ?
A
3/4
B
2/3
C
4/5
D
5/8
Question 123Single Answer
Which is greater ?
A
11/13
B
12/15
C
Equal
D
Cannot compare
Question 124Single Answer
Two numbers are co-prime if their HCF is ?
A
0
B
1
C
Same
D
Prime
Question 125Single Answer
Product of all factors of 10 is ?
A
10
B
100
C
1000
D
10000
Question 126Single Answer
How many real numbers exist between 2 and 3 ?
A
1
B
10
C
Infinite
D
None
Question 127Single Answer
Which number is divisible by 11 ?
A
12345
B
1331
C
1234
D
1213
Question 128Single Answer
What is the unit digit of (7^{245}) ?
A
1
B
3
C
7
D
9
Question 129Single Answer
What is (64^{2/3}) ?
A
4
B
8
C
16
D
32
Question 130Single Answer
What is (125^{1/3}) ?
A
3
B
4
C
5
D
6
ย
Question 131Single Answer
Which of the following is composite ?
A
17
B
19
C
21
D
23
Question 132Single Answer
What is √0.0009 ?
A
0.003
B
0.03
C
0.3
D
0.09
ย
Question 133Single Answer
What is √1156 ?
A
32
B
34
C
36
D
38
Question 134Single Answer
What is √2025 ?
A
35
B
40
C
45
D
50
Question 135Single Answer
What is (51^2) ?
A
2601
B
2501
C
2551
D
2651
ย
Question 136Single Answer
7 8 18 57 ?
A
244ย
B
174
C
186ย ย ย
D
none of these
Question 137Single Answer
Last year my age was a perfect square number. Next year it will be a cubic number. What is my Present age ?
A
25 yearsย
B
27 years
C
26 years
D
24 years
Question 138Single Answer
If a + b = 5, a2 + b2 = 13, the value of a โ b (where a > b) is
A
2ย
B
-1
C
1ย
D
-2
Question 139Single Answer
How many factors does 100 have ?
A
6
B
7
C
8
D
9
Question 140Single Answer
If x = a โ b, y = b โ c, z = c โ a, then the numerical value of the algebraic expression x3 + y3 + z3 โ 3xyz will be
A
a + b + cย ย ย ย
B
Zero
C
4 (a + b + c)ย
D
3 abc
Question 141Single Answer
Which number is divisible by 13 ?
A
819
B
845
C
871
D
899
Question 142Single Answer
A number leaves remainder 3 when divided by 5. What remainder when divided by 10 ?