Question for BSF Head Constable (RO, RM) 2026 - Quiz / Questions / MCQ

Objective Questions

Latest BSF Head Constable RO, RM Exam Question (Objective Questions), MCQ in English

Subjects : Physics, Chemistry, Mathematics, General Knowledge & English

Question Bank BSF Head Constable (RO, RM) Exam - English

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Physics

Question 1Single Answer

In ruby laser, the stimulated emission is due to transition from

A
metastable state to any lower state
B
any higher state of lower state
C
metastable state to ground state
D
any higher state to ground state

Question 2Single Answer

A direct current I flows along the length of an infinitely long straight thin walled pipe, then the magnetic field is

A
uniform throughout the pipe not zero
B
zero only along the axis of the pipe
C
zero at any point inside the pipe
D
maximum at the centre and minimum at the edge

Question 3Single Answer

convex lens made of glass has focal length 0.15m in air. If the refractive index of glass is 3/2, and that of water is 4/3 the focal length of lens when immersed in water is

A
0.45 m
B
0.15 m
C
0.30 m
D
0.6 m

Question 4Single Answer

Two sources are said to be coherent if they produce waves

A
having a constant phase difference
B
of equal wavelength
C
of equal speed
D
having same shape of wavefront

Question 5Single Answer

Three resistors 1 Ω, 2 Ω, 3Ω resistor a 3 V battery is connected. The current through 3 Ω resistor is -

A
0.75 A
B
1 A
C
2 A
D
1.5 A

Question 6Single Answer

In a common emitter amplifier the input signal is applied across

A
anywhere
B
emitter-collector
C
collector-base
D
base-emitter

Question 7Single Answer

Adding detergents to water helps in removing dirty greasy stains. This is because
1. It increases greasy stains. This is because
2. It decreases the oil-water surface tension
3. It increases the viscosity of the solution
4. Dirt is held suspended surrounded by detergent molecules

A
2 and 4
B
1 only
C
3 and 4
D
4 only

Question 8Single Answer

Choose the correct statement (a) for a cricket ball that is spinning clockwise through air
S1 : Statemlines of air are symmetric around the ball.
S2 : The velocity of air above the ball relative to it is larger than that below the ball.
S3 : The velocity of air above the ball relative to it is smaller than that below the ball.
S4 : There is a net upward force on the ball.

A
S1,S2 and S4
B
S2 and S4
C
S4 only
D
S3 only

Question 9Single Answer

Ferromagnetic materials used in a transformer must have

A
low permeability and high hysterisis loss
B
high permeability and low hysterisis loss
C
high permeability and high hysterisis loss
D
low permeability and low hysterisis loss

Question 10Single Answer

According to Newton’s corpuscular theory, the speed of light is

A
same in all the medium
B
lesser in rarer medium
C
lesser in denser medium
D
independent of the medium

Question 11Single Answer

For the constructive interference the path difference between the two interfering waves must be equal to

A
(2𝜋 + 1)λ
B
2n𝜋
C
nλ
D
n

Question 12Single Answer

The accurate measurement of emf can be obtained using

A
multimeter
B
voltmeter
C
voltameter
D
potentiometer

Question 13Single Answer

A person, with outstretched arms, is spinning on a rotating stool. He suddenly brings his arms down to his sides. Which the following is true about his kinetic energy K and angular momentum L?

A
Both K and L increase
B
Both K and L remain unchanged
C
K remains constant, L increases
D
K increases but L remains constant

Question 14Single Answer

Which of the following is not a thermodynamic coordinate?

A
Gas constant (R)
B
Pressure (p)
C
Volume (V)
D
Temperature (T)

Question 15Single Answer

An antenna uses electromagnetic waves of frequency 5 MHz . For proper working, the size of the antenna should be

A
300 m
B
3 km
C
15 m
D
15 km

Question 16Single Answer

The amount of energy released when one microgram of matter is annihilated is

A
25 kWh
B
9 x 10¹⁰ kWh
C
3 x 10¹⁰ kWh
D
0.5 x 10⁵ kWh

Question 17Single Answer

The number of significant figures in the numbers 4.8000 x 10⁴ 48000.50 are respectively

A
5 and 6
B
5 and 7
C
2 and 7
D
2 and 6

Question 18Single Answer

β-decay means emission of electron from

A
innermost electron orbit
B
a stable nucleus
C
outermost electron orbit
D
radioactive nucleus

Question 19Single Answer

An electric heater rated 220 V and 550 W is connected to AC mains. The current drawn by it is

A
0.8 A
B
2.5 A
C
0.4 A
D
1.25 A

Question 20Single Answer

A string is wound round the rim of a mounted flywheel of mass 20 kg and radius 20 cm. A steady pull of 25 N is applied on the cord. Neglecting friction and mass of the string, the angular acceleration of the wheel is

A
50 s^-2
B
25 s^-2
C
12.5 s^-2
D
6.25 s^-2

Question 21Single 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 22Single Answer

Electron volt is a unit of

A
potential difference
B
charge
C
energy
D
capacity

Question 23Single Answer

Dimensions of impulse are

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

Question 24Single Answer

Potential is measured in

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

Question 25Single Answer

One Nanometer is equal to

A
10^–9m
B
10^–6m
C
10^–10m
D
10^–3m

Question 26Single Answer

Maxwell is the unit of

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

Question 27Single Answer

Which of the following is derived physical quantity ?

A
Mass
B
Velocity
C
Length
D
Time

Question 28Single 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 29Single 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 30Single Answer

The dimensions of Rydberg's constant are

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

Question 31Single Answer

'Farad' is the unit of

A
resistance
B
conductance
C
capacitance
D
inductance

Question 32Single Answer

S.I. unit of surface tension is

A
degree/cm
B
N/m
C
N/m²
D
Nm

Question 33Single 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 34Single 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 35Single Answer

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

A
Holm
B
Halogen
C
Henry
D
Hertz

Question 36Single 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 37Single Answer

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

A
Strain
B
Relative density
C
Frequency
D
Angle

Question 38Single 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 39Single Answer

The dimensions of magnetic moment are

A
[L²A¹]
B
[L²A^–1]
C
[L²/A³]
D
[LA²]

Question 40Single Answer

The dimensions of Wien's constant are

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

Chemistry

Question 41Single Answer

10^-6 M NaOH is diluted 100 times. The pH of the diluted base is

A
between 7 and 8
B
between 5 and 6
C
between 6 and 7
D
between 10 and 11

Question 42Single Answer

In the electrolysis of acidulated water, it is desired to obtain 1.12 cc of hydrogen per second under STP condition. The current to be passed is

A
1.93 A
B
9.65 A
C
19.3 A
D
0.965 A

Question 43Single Answer

The one which decreases with dilution is

A
molar conductance
B
conductance
C
specific conductance
D
equivalent conductance

Question 44Single Answer

Vapour pressure of pure ‘A’ is 70 mm of Hg at 25^oC. It forms an ideal solution with ‘B’ in which mole fraction of A is 0.8. if the vapour pressure of the solution is 84 mm of Hg at 25^oC, the vapour pressure of pure ‘B’ at 25^oC is

A
28 mm
B
56 mm
C
70 mm
D
140 mm

Question 45Single Answer

A 6% solution of urea is isotonic with

A
1 M solution of glucose
B
0.05 M solution of glucose
C
6% solution of glucose
D
25% solution of glucose

Question 46Single Answer

In countries nearer to polar region, the roads are sprinkled with CaCl₂. This is

A
to minimise the wear and tear of the roads
B
to minimise the snow fall
C
to minimise pollution
D
to minimise the accumulation of dust on the road

Question 47Single Answer

A compound of ‘A’ and ‘B’ crystallises in a cubic lattice in which ‘A’ atoms occupy the lattice points at the corners of the cube. The ‘B’ atoms occupy the centre of each face of the cube. The probable empirical formula of the compound is

A
AB₂
B
A₂B
C
AB
D
AB₃

Question 48Single Answer

In electrophilic aromatic substitution reaction, the nitro group is meta directing because it

A
decreases electron density at ortho and para positions
B
decreases electron density at meta position
C
increases electron density at meta position
D
increases electron density at ortho and para position

Question 49Single Answer

The best method for the conversion of an alcohol into an alkyl chloride is by treating the alcohol with

A
PCI₅
B
PCI₃
C
SOCl₂ in presence of pyridine
D
dry HCl in the presence of anhydrous ZnCl₂

Question 50Single Answer

The carbon bond length in benzene is

A
in between C₂H₆ and C₂H₄
B
same as in C₂H₄
C
in between C₂H₆ and C₂H₂
D
in between C₂H₄ and C₂H₂

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Chemistry

Question 51Single Answer

Which of the following is not a synthetic fibre:

A
Anygora
B
Rayon
C
Nylon
D
Polyster

Question 52Single Answer

Which one of the following is not contained in Portland cement ?

A
Ca₃Al₂O₆
B
Ca₃SiO₅
C
Ca₂SiO₄
D
Ca₃(PO₄)₂

Question 53Single Answer

What is the reson for white cement to be white ?

A
It does not contain carbon
B
It does not contain silicon
C
It does not contain iron
D
It does not contain calcium

Question 54Single Answer

Which fertilizer is assimilated directly by the plant ?

A
Super phosphate
B
Nitrolim
C
Muriate of Potash
D
Humus

Question 55Single Answer

Which of the following chemicals is used in foam fire extinguishers ?

A
Aluminium sulphate
B
Copper sulphate
C
Cobalt sulphate
D
Nickel sulphate

Question 56Single Answer

What is a mixture of potassium nitrate, powdered charcoal and sulphur called ?

A
Glass
B
Cement
C
paint
D
Gun powder

Question 57Single Answer

Which one of the following chemicals is used in beauty parlours for hair – setting ?

A
Sulphur based
B
Phosphorus based
C
Silicon based
D
Iron based

Question 58Single Answer

Which one of the following is used as a mordant in dyeing and tanning industry ?

A
Magnesium oxide
B
Magnesium carbonate
C
Magnesium chloride
D
Magnesium sulphate

Question 59Single Answer

Which one of the following substances is used in the manufacture of safety matches ?

A
Red phosphorus
B
White phosphorus
C
Phosphorus trioxide (P₂O₃)
D
Black phosphorus

Question 60Single Answer

Which one of the following polymeric materials is used for making bullet proof jacket ?

A
Nylon –6, 6
B
Rayon
C
Kevlar
D
Dacron

Mathematics

Question 61Single 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 62Single Answer

A
B
C
D
None of these

Question 63Single 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 64Single 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 65Single 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 66Single Answer

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

A
15
B
14
C
16
D
17

Question 67Single 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 68Single 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 69Single 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 70Single 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 71Single 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 72Single 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 73Single 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 74Single 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 75Single Answer

If A = (–3, 5) and B = [–7, 9], then

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

Question 76Single 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 77Single Answer

Combine terms: 12a + 26b - 4b – 16a .

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

Question 78Single Answer

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

A
25.30
B
25.5
C
25.00
D
12.25

Question 79Single Answer

60 Times of 8 Equals to

A
480
B
300
C
250
D
400

Question 80Single 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

General Knowledge & English

Question 81Single Answer

Yojna a weekly journal

A
Ministry of Finance
B
Ministry of Information and Broadcastin
C
Ministry of Rural Development
D
Planning Commission

Question 82Single Answer

Kurukshetra a journal on rural development is published by

A
Ministry of Finance
B
Ministry of Information and Broadcastin
C
Ministry of Rural Development
D
Planning Commission

Question 83Single Answer

Devaluation of a currency means

A
Fixing the value of the currency in conjuction with the movement in the value of a basket of predetermined currencies
B
Reduction in the value of a currency vis-à-vis major internationally traded currencies
C
Fixing the value of currency in multilateral consultaion with the IMF the World Bank and major trading partners
D
Permitting the currency to seek its worth in the international market

Question 84Single Answer

I go to Madurai by —– Vaigai Express

A
a
B
an
C
some
D
the

Question 85Single Answer

Have the car stolen!

A
Steal the car
B
You should have the stolen car
C
Get someone to steal the car
D
They have stolen the car

Question 86Single Answer

The payment was collected by the hardworking salesman.

A
The hardworking salesman collected the payment.
B
the salesman who worked heard was able to collect the payment.
C
to collect the payment the salesman had to work hard.
D
The hardworking salesman was able to collect the payment.

Question 87Single Answer

I had to stop all my work to complete this project.

A
All other work had to be stopped to complete this project by me
B
For completing this project all other work must be stopped
C
For completing this project I had to stop all my work
D
To complete this project all other work had been stopped by me

Question 88Single Answer

They have published the names of all the successful candidates.

A
The candidates who have succeeded their names they had published.
B
The names of all the successful candidates have been published by them
C
The candidates who have succeeded their names have been published by them.
D
The names of all the successful candidate were published by them.

Question 89Single Answer

Passage :

Direction : Question below has two blanks, each blank indicting that some thing has been omitted. Choose the word for each blank which best fits the meaning of the sentence as a whole.

The Finance Department has ……………a centralized online databank system for all statutory government bodies to …………an eye on their assets and liabilities.

A
presented , stay
B
introduced , keep
C
announce , make
D
created , let
E
proclaimed , hold

Question 90Single Answer

Passage :

Direction : The five items in this section consists of a word or group of words followed by four words as (a), (b), (c) and (d). Select the word which is nearly opposite to the meaning of the original word or group of words and mark your response as (a), (b), (c) and (d), as the case may be, in your Answer Sheet.

Assets

A
liabilities
B
responsibilities
C
estates
D
profits

Question 91Single Answer

Passage :

Direction : In the question, out of the four alternatives, choose the word which is opposite in meaning to the given word and click the button corresponding to it

Affidavit

A
Affirmation
B
Slander
C
Oath
D
Testimony

Question 92Single Answer

Passage :

Direction: In the following question, out of the four alternatives, choose the word which is opposite in meaning to the given word and click the button corresponding to it

Hollow

A
Alveolate
B
Cleft
C
Cavernous
D
Solid

Question 93Single Answer

Passage :

Directions: In the following question, out of the four alternatives, choose the word which is opposite in meaning to the given word and click the button corresponding to it

Cosset

A
Ignoreb
B
Close
C
Caress
D
Fondle

Question 94Single Answer

"Who said, 'India was a parrot unto itself'?

A
Malik Muhammad Joyce
B
Raskhan
C
Rich Khusrow
D
Rich Hasan

Question 95Single Answer

Which is the national game of Bhutan ?

A
badminton
B
basketball
C
football
D
archery

Question 96Single Answer

When was the Constituent Assembly of India formed?

A
1946
B
1947
C
1948
D
1950

Question 97Single Answer

Who is known as the "Father of the Indian Renaissance" ?

A
Raja Ram Mohan Roy
B
Swami Vivekananda
C
Rabindranath Tagore
D
Mahatma Gandhi

Question 98Single Answer

Who is known as the "Missile Man of India"?

A
Dr. Homi J. Bhabha
B
Dr. Vikram Sarabhai
C
Dr. APJ Abdul Kalam
D
Dr. Satish Dhawan

Question 99Single Answer

On what date did India celebrate the 9th anniversary of the Goods and Services Tax (GST) implementation?

A
July 1, 2026
B
June 30, 2026
C
July 2, 2026
D
June 29, 2026

Question 100Single Answer

Which global event is India participating in with Sweden as a partner?

A
Venus Orbiter Mission 'Shukrayaan'
B
Chandrayaan-4
C
Gaganyaan crewed mission
D
Mars Orbiter Mission-2

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