Question for Chhattisgarh PET 2026 - Quiz / Questions / MCQ

Objective Questions

Latest CG PET Exam Question (Objective Questions), MCQ in English

Subjects : Physics, Chemistry, Mathematics

Question Bank CG PET Exam - English

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Physics

Question 1Single Answer

Temperature can be expressed as derived quantity in terms of

A
length and mass
B
mass and time
C
length, mass and time
D
None of these

Question 2Single Answer

Electron volt is a unit of

A
potential difference
B
charge
C
energy
D
capacity

Question 3Single Answer

Dimensions of impulse are

A
[MLT ^–1]
B
[MLT²]
C
[MT^–2]
D
[ML^–1T^–3]

Question 4Single Answer

Potential is measured in

A
joule/coulomb
B
watt/coulomb
C
newton–second
D
None of these

Question 5Single Answer

One Nanometer is equal to

A
10^–9m
B
10^–6m
C
10^–10m
D
10^–3m

Question 6Single Answer

Maxwell is the unit of

A
magnetic susceptibility
B
intensity of Magnetisation
C
magnetic Flux
D
magnetic Permeability

Question 7Single Answer

Which of the following is derived physical quantity ?

A
Mass
B
Velocity
C
Length
D
Time

Question 8Single Answer

What are the units of magnetic permeability ?

A
Wb A^–1 m^–1
B
Wb^–1 Am
C
Wb A m^–1
D
Wb A^–1 m

Question 9Single Answer

The dimensions of pressure gradient are

A
[ML^–2 T^–2]
B
[ML^–2 T^–1]
C
[ML^–1 T^–1]
D
[ML^–1 T^–2]

Question 10Single Answer

The dimensions of Rydberg's constant are

A
[M⁰L^–1T]
B
[MLT^–1]
C
[M⁰L^–1T⁰]
D
[ML⁰T²]

Question 11Single Answer

'Farad' is the unit of

A
resistance
B
conductance
C
capacitance
D
inductance

Question 12Single Answer

S.I. unit of surface tension is

A
degree/cm
B
N/m
C
N/m²
D
Nm

Question 13Single Answer

Which one of the following pairs does not have the same dimension ?

A
Potential energy and Kinetic energy
B
Density and specific gravity
C
Focal length and height
D
Gravitational force and frictional force

Question 14Single Answer

Which one of the following physical quantity has the same unit as that of pressure ?

A
Angular momentum
B
Stress
C
Strain
D
Work

Question 15Single Answer

The symbol of SI unit of inductance is H. It stands for

A
Holm
B
Halogen
C
Henry
D
Hertz

Question 16Single Answer

Light year is a measure of

A
time
B
distance
C
total amount of light falling on the Earth in a year
D
average intensity of light falling on the Earth in a year

Question 17Single Answer

Which one of the following is not a dimension less quantity ?

A
Strain
B
Relative density
C
Frequency
D
Angle

Question 18Single Answer

The dimensions of universal gas constant are

A
[L² M¹ T^–2 K^–1]
B
[L¹ M² T^–2 K^–1]
C
[L¹ M¹ T^–2 K^–1]
D
[L² M² T^–2 K^–1]

Question 19Single Answer

The dimensions of magnetic moment are

A
[L²A¹]
B
[L²A^–1]
C
[L²/A³]
D
[LA²]

Question 20Single Answer

The dimensions of Wien's constant are

A
[ML⁰TK]
B
[M⁰LT⁰K]
C
[M⁰L⁰TK]
D
[MLTK]

Question 21Single Answer

The dimensional formula of wave number is

A
[M⁰L⁰T^–1]
B
[M⁰L^–1T⁰]
C
[M^–1 L^–1 T⁰]
D
[M⁰ L⁰ T⁰]

Question 22Single Answer

The dimensional of Hubble ‘s wave number is

A
[T^–1]
B
[M⁰L⁰T^–2]
C
[MLT⁴]
D
[MT^–1]

Question 23Single Answer

The dimensions of solar constant is

A
[M⁰L⁰T⁰]
B
[MLT^–2]
C
[ML²T^–2]
D
MT^–3

Question 24Single Answer

The dimensional formula for entropy is

A
[MLT^–2K¹]
B
[ML² T^-2]
C
[ML²T^–2K^–1]
D
[ML²T^–2K]

Question 25Single Answer

Dimension of specific heat are

A
[ML² T^–2 K]
B
[ML² T^–2 K^–1]
C
[ML²T²K^–1]
D
[L²T^–2K^–2]

Question 26Single Answer

The slope of a velocity-time graph represents?

A
Displacement
B
Velocity
C
Acceleration
D
Change in position

Question 27Single Answer

The area under a velocity-time graph gives?

A
Speed
B
Acceleration
C
Displacement
D
Force

Question 28Single Answer

If the position-time graph is a straight line passing through origin, the body has?

A
Zero acceleration
B
Variable velocity
C
Uniform acceleration
D
Constant velocity

Question 29Single Answer

The slope of position-time graph at any instant gives?

A
Average velocity
B
Instantaneous velocity
C
Acceleration
D
Displacement

Question 30Single Answer

A curved position-time graph indicates?

A
Constant acceleration only
B
Uniform motion
C
Zero motion
D
Non-uniform motion

Question 31Single Answer

The area under acceleration-time graph represents?

A
Velocity
B
Displacement
C
Change in velocity
D
Force

Question 32Single Answer

If acceleration-time graph is a straight line parallel to time axis, acceleration is?

A
Zero
B
Constant
C
Increasing
D
Decreasing

Question 33Single Answer

The second derivative of position with respect to time gives?

A
Velocity
B
Acceleration
C
Displacement
D
Speed

Question 34Single Answer

The first derivative of position with respect to time gives?

A
Velocity
B
Acceleration
C
Displacement
D
Force

Question 35Single Answer

Integration of acceleration with respect to time gives?

A
Velocity
B
Displacement
C
Force
D
Momentum

Question 36Single Answer

Double integration of acceleration with respect to time gives?

A
Velocity
B
Displacement
C
Force
D
Momentum

Question 37Single Answer

In vector analysis, the resolution of a vector into two perpendicular components uses?

A
No law
B
Triangle law
C
Polygon law
D
Parallelogram law

Question 38Single Answer

The unit vector in the direction of vector A is?

A
|A| / A
B
A / |A|
C
A x |A|
D
A + |A|

Question 39Single Answer

If two vectors are perpendicular, their dot product is?

A
Zero
B
Maximum
C
Minimum
D
Equal to magnitude product

Question 40Single Answer

The magnitude of cross product of two vectors is equal to?

A
No area
B
Dot product
C
Scalar triple product
D
Area of parallelogram formed by them

Question 41Single Answer

Relative velocity of A with respect to B is?

A
V_B - V_A
B
V_A - V_B
C
V_A + V_B
D
V_A x V_B

Question 42Single Answer

If two bodies are moving in opposite directions, relative velocity is?

A
Product
B
Difference of magnitudes
C
Zero
D
Sum of magnitudes

Question 43Single Answer

In projectile motion, horizontal component of velocity is?

A
Decreasing
B
Increasing
C
Constant
D
Zero

Question 44Single Answer

In projectile motion, vertical component of velocity?

A
Remains constant
B
Changes due to gravity
C
Increases horizontally
D
Becomes zero at highest point

Question 45Single Answer

The trajectory of a projectile is?

A
Parabola
B
Straight line
C
Circle
D
Hyperbola

Question 46Single Answer

The time of flight for a projectile thrown at angle A is?

A
u cosA / g
B
u sinA / g
C
2u sinA / g
D
2u cosA / g

Question 47Single Answer

The horizontal range of a projectile is maximum when A is?

A
30 degree
B
45 degree
C
60 degree
D
90 degree

Question 48Single Answer

At highest point of projectile path, vertical component of velocity is?

A
Maximum
B
Zero
C
u sinA
D
u cosA

Question 49Single Answer

If a projectile is thrown vertically upward, time of flight is?

A
2u/g
B
u/g
C
u sinA / g
D
2u cosA / g

Question 50Single Answer

The angle of projection for maximum range on horizontal plane is?

A
60 degree
B
30 degree
C
45 degree
D
90 degree

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Chemistry

Question 51Single Answer

Which quantum number determines the size of an orbital?

A
Azimuthal quantum number
B
Magnetic quantum number
C
Principal quantum number
D
Spin quantum number

Question 52Single Answer

Which quantum number describes the shape of an orbital?

A
Principal quantum number
B
Azimuthal quantum number
C
Magnetic quantum number
D
Spin quantum number

Question 53Single Answer

Which quantum number gives the orientation of an orbital in space?

A
Principal quantum number
B
Azimuthal quantum number
C
Magnetic quantum number
D
Spin quantum number

Question 54Single Answer

Which quantum number has only two possible values?

Question 55Single Answer

The value of azimuthal quantum number (l) for s-orbital is?

Question 56Single Answer

How many orbitals are present in p-subshell?

Question 57Single Answer

Total number of orbitals in d-subshell is?

A
3
B
5
C
7
D
10

Question 58Single Answer

Maximum number of electrons in a shell is given by?

A
2n
B
n²
C
2n²
D
4n²

Question 59Single Answer

Which orbital has spherical shape?

Question 60Single Answer

Which rule explains pairing of electrons in orbitals?

A
Aufbau principle
B
Pauli exclusion principle
C
Hund’s rule
D
Heisenberg principle

Question 61Single Answer

Aufbau principle is based on?

A
Shape of orbitals
B
Increasing atomic number
C
Increasing energy of orbitals
D
Nuclear charge

Question 62Single Answer

Which orbital is filled after 3p according to Aufbau rule?

A
3d
B
4s
C
4p
D
5s

Question 63Single Answer

The maximum electrons in p-subshell are?

A
2
B
4
C
6
D
10

Question 64Single Answer

Which principle states that no two electrons have same set of quantum numbers?

A
Hund’s rule
B
Aufbau principle
C
Pauli exclusion principle
D
Heisenberg principle

Question 65Single Answer

Number of nodal planes in p-orbital is?

Question 66Single Answer

Which subshell has maximum penetration power?

Question 67Single Answer

Which orbital has dumbbell shape?

Question 68Single Answer

Which subshell has highest energy in the same shell?

Question 69Single Answer

Degeneracy of p-orbitals means?

A
Same shape
B
Same size
C
Same energy
D
Same orientation

Question 70Single Answer

Total number of electrons in f-subshell is?

A
10
B
12
C
14
D
16

Question 71Single Answer

The value of magnetic quantum number ranges from?

A
0 to n
B
–l to +l
C
–n to +n
D
–1 to +1

Question 72Single Answer

Which orbital has clover-leaf shape?

Question 73Single Answer

Which orbital has maximum number of nodal planes?

Question 74Single Answer

Which rule explains extra stability of half-filled orbitals?

A
Pauli principle
B
Aufbau principle
C
Hund’s rule
D
Heisenberg principle

Question 75Single Answer

The electronic configuration of Cr shows anomaly due to?

A
Nuclear charge
B
Pairing energy
C
Extra stability of half-filled orbitals
D
Screening effect

Question 76Single Answer

Which orbital is lowest in energy?

A
2p
B
3s
C
4s
D
1s

Question 77Single Answer

Which orbital has zero angular momentum?

Question 78Single Answer

Which quantum number decides energy in multi-electron atoms?

A
n only
B
l only
C
n and l
D
m only

Question 79Single Answer

The order of increasing energy is?

A
s < p < d < f
B
p < s < d < f
C
d < p < s < f
D
f < d < p < s

Question 80Single Answer

Which orbital has two nodal planes?

Question 81Single Answer

Maximum electrons in d-subshell are?

A
6
B
8
C
10
D
14

Question 82Single Answer

The number of orbitals in f-subshell is?

A
5
B
7
C
9
D
14

Question 83Single Answer

Which orbital penetration order is correct?

A
p > s > d > f
B
d > p > s > f
C
s > p > d > f
D
f > d > p > s

Question 84Single Answer

The shape of 3d orbitals is?

A
Spherical
B
Dumbbell
C
Clover leaf
D
Linear

Question 85Single Answer

Which orbital does not exist?

A
1s
B
2p
C
3d
D
1p

Question 86Single Answer

Which quantum number indicates spin direction?

Question 87Single Answer

Which orbital has maximum shielding effect?

Question 88Single Answer

The probability of finding electron is maximum at nucleus for?

Question 89Single Answer

The nodal plane passes through nucleus in which orbital?

Question 90Single Answer

Total orbitals in third shell are?

Question 91Single Answer

Which orbital has highest angular momentum?

Question 92Single Answer

Electronic configuration depends on?

A
Atomic mass
B
Atomic number
C
Neutrons
D
Isotopes

Question 93Single Answer

Which orbital is filled last in 3rd shell?

A
3s
B
3p
C
3d
D
3f

Question 94Single Answer

The value of l for f-orbital is?

Question 95Single Answer

Which orbital has four lobes?

Question 96Single Answer

Which orbital has no nodal plane?

Question 97Single Answer

The energy of orbital increases with increase in?

A
n
B
l
C
n + l
D
m

Question 98Single Answer

Which principle violates electron pairing in same orbital?

A
Hund’s rule
B
Pauli principle
C
Aufbau principle
D
Heisenberg principle

Question 99Single Answer

The shape of electron cloud represents?

A
Orbit
B
Path
C
Probability
D
Charge

Question 100Single Answer

Which orbital is most stable?

A
2p
B
3s
C
4s
D
1s

Mathematics

Question 101Single Answer

The elements of the set {x : x is an integer, x² : 4} can be represent as .....Z..... . Here, Z refers to

A
{–2, 2}
B
{–1, 0, 1}
C
{–2, –1, 0, 1, 2}
D
{0, 1, 2}

Question 102Single Answer

A
B
C
D
None of these

Question 103Single Answer

If Y = {x : x is a positive factor of the number 2p – 1(2p – 1), where 2p – 1 is a prime number}, then Y can be represent in roster form as

A
{2}
B
{1, 2}
C
{1, 2, 22, ....., 2p – 1}
D
{1, 2, 22, 23,.... 2p – 1, (2p – 1)}

Question 104Single Answer

The set {x : x is a positive integer less than 6 and 3x – 1 is an even number} in roster form is

A
{1, 2, 3, 4, 5}
B
{1, 2, 3, 4, 5, 6}
C
{2, 4, 6}
D
{1, 3, 5}

Question 105Single Answer

If A

B and A

B, then

A
A is called a proper subset of B
B
A is called a super set of B
C
A is not a subset of B
D
B is a subset of A

Question 106Single Answer

The number of non-empty subsets of the set{1, 2, 3, 4} is

A
15
B
14
C
16
D
17

Question 107Single Answer

The number of elements of the power set of a set containing m elements is

A
2^m – 1
B
m
C
m²
D
2^m

Question 108Single Answer

If A = {x : x = n², n = 1, 2, 3}, then number of proper subsets is

A
3
B
8
C
7
D
None of these

Question 109Single Answer

If A = {x : x = 4n + 1, 2 £ n £ 5},then number of subsets of A is

A
16
B
15
C
4
D
None of these

Question 110Single Answer

Let A and B be two non-empty subsets of a set X such that A is not a subset of B, then

A
A is always a subset of the complement of B
B
B is always a subset of A
C
A and B are always disjoint
D
A and the complement of B are always non-disjoint

Question 111Single Answer

Which of the following is/are empty set?
A = {x : x2 + x + 1 = 0 and x Î Z} B = {x : x is a prime number and 19 < x < 23}

A
A
B
B
C
Both A and B
D
None of the above

Question 112Single Answer

The set {x : x⁴ = 1 and x

R} is .....X.... set. Here, X refers to

A
empty
B
finite
C
infinite
D
singleton

Question 113Single Answer

The universal set for the sets
A = {x : x² – 5x + 6 = 0} and
B = {x : x² – 3x + 2 = 0} having least number of elements is

A
{1, 2}
B
{1, 3}
C
{1, 2, 3}
D
{0, 1, 2, 3}

Question 114Single Answer

If A = {1, 2, 3}, B = {x € R : x2 – 2x + 1 = 0},

C = {1, 2, 2, 3} and

D = {x € R : x3 – 6x2 + 11x – 6 = 0}, then the equal sets are

A
A and B
B
A and C
C
A, B and C
D
A, C and D

Question 115Single Answer

If A = (–3, 5) and B = [–7, 9], then

A
A = B
B
A B
C
B A
D
None of these

Question 116Single Answer

Two finite sets have m and n elements, respectively. The total number of subsets of first set is 56 more than the total number of subsets of the second set. The value of m and n respectively are

A
7, 6
B
5, 1
C
6, 3
D
8, 7

Question 117Single Answer

Combine terms: 12a + 26b - 4b – 16a .

A
4a + 22b
B
-28a + 30b
C
-4a + 22b
D
28a + 30b

Question 118Single Answer

The average of first 50 natural numbers is ………… .

A
25.30
B
25.5
C
25.00
D
12.25

Question 119Single Answer

60 Times of 8 Equals to

A
480
B
300
C
250
D
400

Question 120Single Answer

Consider the sets

A = {x : x is a real number and x² + 1 = 0}

B = {x : x is a real number and x² – 16 = 0}

C = {x : x is a real number and x² = x + 2}

Which of the following is are null set ?

A
A
B
A and B
C
A and C
D
A, B and C

Question 121Single Answer

If X = {4n – 3n – 1: n Î N} and Y = {9(n – 1): n Î N}; where N is the set of natural numbers, then X È Y is equal to

A
N
B
Y – X
C
X
D
Y

Question 122Single Answer

Which of the following is / are correct?

I. {2, 3, 4} {1, 2, 3, 4, 5}

II. {a, b, c} {b, c, d}

III. {x : x is an equilateral triangle in a plane} Ì {x : x is a triangle in the same plane}

IV. {x : x is an even natural number} {x : x is an integer}

A
I and III are correct
B
II and III are correct
C
Only IV is correct
D
All above are correct

Question 123Single Answer

Question 124Single Answer

Consider the following statements :
1. The set of all irrational numbers between √2 and √5 is an infinite set .
2. The set of all odd integers less than 100 is a finite set .
Which of the statements given above is/are correct ?

A
1 only
B
2 only
C
Both 1 and 2
D
Neither 1 nor 2

Question 125Single Answer

What is the Next Prime Number after 7 ?

A
13
B
12
C
14
D
11

Question 126Single Answer

If A and B are two given sets, then A

B)^C is equal to

Question 127Single Answer

121 Divided by 11 is

A
11
B
10
C
19
D
18

Question 128Single Answer

Let X be the universal set for sets A and B, if n(A) = 200, n(B) = 300 and n

= 100, then n

is equal to 300 provided n(X) is equal to

A
600
B
700
C
800
D
900

Question 129Single Answer

A
{3, 4, 10}
B
{2, 8, 10}
C
{4, 5, 6}
D
{3, 5, 14}

Question 130Single Answer

Let A = {x : x is a prime factor of 240} B = {x : x is the sum of any two prime factors of 240}, then

Question 131Single Answer

If A = {x : x is a multiple of 4 and x

N} and B = {x : x is a multiple of 6 and x

N}, then A

B consists of all multiples of

A
16
B
12
C
8
D
4

Question 132Single Answer

A
A = B
B
B = C
C
A = C
D
None of these

Question 133Single Answer

A
equal
B
disjoint
C
either equal or disjoint
D
none of the above

Question 134Single Answer

A
{–i, i}
B
{–1, 1}
C
{–1, 1, i, –i}
D
None of these

Question 135Single Answer

If A = {x : f(x)= 0} and
B = {x : g(x) = 0}, then A

B will be

A
[f(x)]2 + [g(x)]2 = 0
B
C
D
None of the above

Question 136Single Answer

In a group of 400 people, 250 can speak Hindi and 200 can speak English. Then, people who can speak both Hindi and English are

A
60
B
80
C
50
D
45

Question 137Single Answer

20 teachers of a school either teach Mathematics or Physics. 12 of them teach Mathematics while 4 teach both the subjects. The number of teacher teaching Physics only, is

A
12
B
8
C
16
D
20

Question 138Single Answer

In a class of 100 students, 70 have taken Science, 60 have taken Mathematics, 40 have taken both Science and Mathematics. The number of students who have not taken Science or Mathematics or both Science and Mathematics, is equal to

A
90
B
10
C
30
D
20

Question 139Single Answer

A market research group conducted a survey of 1000 consumers and reported that 720 consumers like product A and 450 consumers like the product B, then least number that must have like both products, is

A
730
B
170
C
180
D
1270

Question 140Single Answer

If there are three athletic teams in a school, 21 are in the basketball team, 26 in hockey team and 29 in the football team. 14 play hockey and basketball, 15 play hockey and football, 12 play football and basketball and 8 play all the games. The total number of members is

A
42
B
43
C
45
D
None of these

Question 141Single Answer

A college awarded 38 medals in football, 15 in basketball and 20 in cricket. If these medals went to a total of 58 men and only three men got medals in all the three sports, then number of men who received meal in exactly two of the three sports is

A
18
B
15
C
9
D
24

Question 142Single Answer

In the class of 175 students, the following data shows the number of students opting one or more subjects. Mathematics 100; Physics 70; Chemistry 40; Mathematics and Physics 30; Mathematics and Chemistry 28; Physics and Chemistry 23; Mathematics, Physics and Chemistry 18. Then, number of students opted Mathematics alone is

A
35
B
48
C
60
D
20

Question 143Single Answer

In a town of 10000 families it was found that 40% family buy newspaper A, 20% family buy newspaper B and 10% family buy newspaper C, 5% families buy and B, 3% families buy B and C and 4% families buy A and C. If 2% families buy all the three newspapers. Then, number of families which by A only is

A
3100
B
3300
C
2900
D
1400

Question 144Single Answer

In a city, 20% of the population travles by car, 50% travles by bus and 10% travles by both car and bus. Then, person travelling by car or bus, is

A
80%
B
40%
C
60%
D
70%

Question 145Single Answer

Universal set,
U = {x | x⁵ – 6x⁴ + 11x³– 6 x 2 = 0}
A = {x | x² – 5x + 6 = 0}
B = {x | x²– 3x + 2 = 0}
What is the value of (A

B)?

A
{1, 3}
B
{1, 2, 3}
C
{0, 1, 3}
D
{0, 1, 2, 3}

Question 146Single Answer

Question 147Single Answer

If P(A) denotes the power set of A and A is the void set, then what is the number of elements in P{P{P{P(A)}}}?

A
Zero
B
1
C
4
D
16

Question 148Single Answer

If A = {1, 2, 3, 4, 5}, b = {x : x2 – 5x + 6 = 0} and C = {x : x2 = 4 or x = 1}, then

A
B
C
Both (a) and (b)
D
None of the above

Question 149Single Answer

In a group of 50 people, 35 speak Hindi, 25 speak both English and Hindi and all the people speak atleast one of two languages. The number of people who speak 'English', 'English but not Hindi' are respectively

A
40, 15
B
15, 40
C
35, 15
D
25, 15

Question 150Single Answer

If P = {1, 2}, then P × P × P = {(1, 1, 1), (1, 1, 2), (1, 2, 1), (2, 1, 2), (2, 2, 1), (2, 2, 2)}. The ordered triplet missing in P × P × P are

A
(1, 2), (2, 1)
B
(1, 2, 1), (2, 1, 1)
C
(1, 2, 2), (2, 1, 2)
D
(1, 2, 2), (2, 1, 1)