JEECUP 2024 Group B Polytechnic Question Paper Available: Download Solution PDF with Answer Key

Educational Content Expert | Updated on - Jun 4, 2025

The JEECUP 2024 Group B Polytechnic Exam is an entrance test for admission to engineering and technology diploma courses in Uttar Pradesh. Conducted by the Joint Entrance Examination Council of Uttar Pradesh (JEECUP), this exam features 100 multiple-choice questions (MCQs) covering subjects like Mathematics, Physics, and Chemistry. It is an online test with a total of 400 marks and a duration of 2 hours 30 minutes. The JEECUP Group B exam is essential for students aiming to pursue a polytechnic education in Uttar Pradesh.

JEECUP 2024 Group B Polytechnic Question Paper With Answer Key

JEECUP 2024 Group B Polytechnic Question Paper with Answer Key	Download	Check Solution

SECTION–I
MATHEMATICS

Question 1:

If \( \sec x = \frac{5}{4} \), then \( \frac{\tan x}{1 + \tan^2 x} \) is equal to:

(A) \( \frac{1}{25} \)
(B) \( \frac{9}{25} \)
(C) \( \frac{3}{4} \)
(D) \( \frac{12}{25} \)

Correct Answer: (B) \( \frac{9}{25} \) View Solution

Question 2:

If \( A = \frac{x+1}{x-1} \) and \( B = \frac{x-1}{x+1} \), then \( A + B \) is:

(A) None of these
(B) \( \frac{2(x^2 + 1)}{(x - 1)^2} \)
(C) \( \frac{2(x^2 - 1)}{x^2 + 1} \)
(D) \( \frac{x^2 + 1}{x^2 - 1} \)

Correct Answer: (B) \( \frac{2(x^2 + 1)}{(x - 1)^2} \)
View Solution

Question 3:

Value of 1 Radian is:

(A) \( 47^\circ 15' 17'' \)
(B) \( 60^\circ 30' 15'' \)
(C) \( 180^\circ \)
(D) \( 57^\circ 17' 45'' \)

Correct Answer: (D) \( 57^\circ 17' 45'' \)
View Solution

Question 4:

If 15% of \(m = 20%\) of \(n\) then \(m : n\) is

(A) \(16 : 17\)
(B) \(17 : 16\)
(C) \(3 : 4\)
(D) \(4 : 3\)

Correct Answer: (C) \(3 : 4\)
View Solution

Question 5:

The median of the following distribution is

(A) 8
(B) 9
(C) 10
(D) None of these

Correct Answer: (B) 9
View Solution

Question 6:

The total amount for a sum of ₹400 for 3 years at simple interest at 5% per annum will be

(A) ₹415
(B) ₹412
(C) ₹460
(D) ₹435

Correct Answer: (C) ₹460
View Solution

Question 7:

If tan \(A = \frac{1}{\sqrt{3}}\) and tan \(B = \sqrt{3}\) then \(\cos A - \cos B - \sin A \cdot \sin B\) will be equal to

(A) 0
(B) \(\frac{1}{2}\)
(C) 1
(D) \(\frac{\sqrt{3}}{2}\)

Correct Answer: (A) 0
View Solution

Question 8:

Distance between two lines \(3x + 4y - 9 = 0\) and \(3x + 4y + 10 = 0\) is

(A) None of these
(B) 9/5 unit
(C) 10 units
(D) 19/5 unit

Correct Answer: (B) 9/5 unit
View Solution

Question 9:

Find the value of \(\frac{\sqrt{3} \cos 23^\circ - \sin 23^\circ}{2}\)

(A) \(\tan 53^\circ\)
(B) \(\sin 53^\circ\)
(C) 1
(D) \(\cos 53^\circ\)

Correct Answer: (A) \(\tan 53^\circ\)
View Solution

Question 10:

\(\sqrt{3}\) is

(A) A natural number
(B) An integer
(C) A rational number
(D) An irrational number

Correct Answer: (D) An irrational number
View Solution

Question 11:

If \(\cos A = \frac{1}{7}\) and \(\cos B = \frac{13}{14}\), then \(\cos (A - B)\) is

(A) 1
(B) 13/98
(C) 1/2
(D) 18/49

Correct Answer: (D) 18/49
View Solution

Question 12:

By selling a car for ₹72,000, a person made a profit of 20%. Then the cost price of the car is

(A) ₹90,000
(B) ₹60,000
(C) ₹80,000
(D) ₹70,000

Correct Answer: (C) ₹80,000
View Solution

Question 13:

If \(a : b = 3 : 4\) and \(b : c = 8 : 9\), then \(a : c\) is

(A) 1 : 3
(B) 3 : 2
(C) 1 : 2
(D) 2 : 3

Correct Answer: (C) 1 : 2
View Solution

Question 14:

If \(\overline{x}\) is the mean of \(n\) observations \(x_1, x_2, x_3, \ldots, x_n\), then \(\sum_{i=1}^{n}(x_i - \overline{x})\) is equal to

(A) 1
(B) 0
(C) None of these
(D) \(\infty\)

Correct Answer: (B) 0
View Solution

Question 15:

Distance between two points \((a \cos \alpha, a \sin \alpha)\) and \((a \cos \beta, a \sin \beta)\) is equal to

(A) \(2a \sin \left(\frac{\alpha + \beta}{2}\right)\)
(B) \(2a \cos \left(\frac{\alpha + \beta}{2}\right)\)
(C) \(2a \sin \left(\frac{\alpha - \beta}{2}\right)\)
(D) \(2a \cos \left(\frac{\alpha - \beta}{2}\right)\)

Correct Answer: (C) \(2a \sin \left(\frac{\alpha - \beta}{2}\right)\)
View Solution

Question 16:

L.C.M. of \(x^3 - 9x\) and \(x^2 - 2x - 3\) is

(A) \(x - 3\)
(B) \(x + 3\)
(C) \(x(x + 1)\)
(D) \(x(x + 3)(x - 3)\)

Correct Answer: (D) \(x(x + 3)(x - 3)\)
View Solution

Question 17:

What must be added in \(\frac{9}{x^2} + 4y^2\) to make it a whole square?

(A) \(6x\)
(B) \(6y\)
(C) \(12x\)
(D) \(12y\)

Correct Answer: (C) \(12x\)
View Solution

Question 18:

The value of \(\tan \left(\frac{\pi}{4} + \theta \right) \cdot \tan \left(\frac{3\pi}{4} + \theta \right)\) is

(A) 1
(B) 2
(C) -1
(D) 0

Correct Answer: (C) -1
View Solution

Question 19:

If \(a + b + c = 11\) and \(ab + bc + ca = 20\), then the value of \(a^3 + b^3 + c^3 - 3abc\) is

(A) 671
(B) 341
(C) 121
(D) 781

Correct Answer: (C) 121
View Solution

Question 20:

Two supplementary angles measure \(5x + 15^\circ\) and \(4x - 6^\circ\), angle are

(A) \(120^\circ, 60^\circ\)
(B) \(95^\circ, 85^\circ\)
(C) \(100^\circ, 80^\circ\)
(D) \(110^\circ, 70^\circ\)

Correct Answer: (C) \(100^\circ, 80^\circ\)
View Solution

Question 21:

If one root of equation \(2x^2 - 10x + P = 0\) is 3, then the value of P is

(A) 6
(B) -3
(C) 9
(D) 12

Correct Answer: (B) -3
View Solution

Question 22:

If \(2x + y = 35\) and \(3x + 4y = 65\), then the value of \(\frac{x}{y}\) is

(A) 2
(B) 3
(C) 5
(D) 4

Correct Answer: (C) 5
View Solution

Question 23:

If \(x + y = 7\) and \(3x - 2y = 11\), then

(A) \(x = 2, y = 5\)
(B) \(x = 0, y = 3\)
(C) \(x = 5, y = 2\)
(D) \(x = 3, y = 4\)

Correct Answer: (C) \(x = 5, y = 2\)
View Solution

Question 24:

The sum of roots of the equation \(x^2 - 3x - 28 = 0\) is

(A) -28
(B) 4
(C) -3
(D) 3

Correct Answer: (C) -3
View Solution

Question 25:

The arithmetic mean of given data will be 67, 65, 71, 57, 45

(A) 71
(B) 72
(C) 61
(D) 62

Correct Answer: (C) 61
View Solution

Question 26:

The median of first ten prime numbers is

(A) 12
(B) 13
(C) 11
(D) None of these

Correct Answer: (C) 11
View Solution

Question 27:

The length of a rectangle is 8 cm more than its breadth. If the perimeter of the rectangle is 68 cm, then its length and breadth is

(A) 21 cm, 13 cm
(B) 20 cm, 10 cm
(C) 30 cm, 20 cm
(D) 25 cm, 15 cm

Correct Answer: (B) 20 cm, 10 cm
View Solution

Question 28:

A 100 m long train is moving at a speed of 60 km/h. Then the train will cross a signal pole in

(A) 10 seconds
(B) 4 seconds
(C) 6 seconds
(D) 3 seconds

Correct Answer: (C) 6 seconds
View Solution

Question 29:

\(\cos 75^\circ + \sin 75^\circ\) is equal to

(A) \(\frac{\sqrt{3}}{2}\)
(B) \(\frac{1}{2}\)
(C) \(\frac{\sqrt{6}}{2}\)
(D) 1

Correct Answer: (C) \(\frac{\sqrt{6}}{2}\)
View Solution

Question 30:

In the given figure of circle with centre O, chord AB makes an angle of \(80^\circ\) with the centre. Then \(\angle APB\) is

(A) \(40^\circ\)
(B) \(100^\circ\)
(C) \(140^\circ\)
(D) \(90^\circ\)

Correct Answer: (A) \(40^\circ\)
View Solution

Question 31:

In the adjoining figure, \(DE \parallel BC\), then value of \(x\) are

(A) \(-1, \frac{1}{2}\)
(B) \(1, \frac{1}{2}\)
(C) \(-1, \frac{1}{2}\)
(D) \(1, -\frac{1}{2}\)

Correct Answer: (A) \(-1, \frac{1}{2}\)
View Solution

Question 32:

If \(\log_m m + \log_{\frac{1}{6}} \frac{1}{3} = 2\), then \(m\) is equal to

(A) 4
(B) 24
(C) 12
(D) 18

Correct Answer: (C) 12
View Solution

Question 33:

The value of \(\csc^2 67^\circ - \tan^2 23^\circ\) is equal to

(A) -1
(B) 1
(C) 0
(D) \(\infty\)

Correct Answer: (C) 0
View Solution

Question 34:

The number of 6 cm cubes can be cut from a cuboid measuring 36 m \(\times\) 15 m \(\times\) 8 m is

(A) 25
(B) 10
(C) 15
(D) 20

Correct Answer: (B) 10
View Solution

Question 35:

If \(x^y = y^x\) then \(\left(\frac{x}{y}\right)^{x/y}\) is

(A) \(x(y/y)\)
(B) \(\left(\frac{x}{y}\right)^{y/x}\)
(C) \(x^{(x+1)}\)
(D) \(y^y\)

Correct Answer: (B) \(\left(\frac{x}{y}\right)^{y/x}\)
View Solution

Question 36:

If \(\sin \theta = \frac{1}{\sqrt{2}}\), then the value of \(3 \sin^2 \theta - 4 \sin^3 \theta \cdot \cos \theta\) is

(A) \(\frac{1}{2}\)
(B) 1
(C) \(\frac{3}{2}\)
(D) 3

Correct Answer: (A) \(\frac{1}{2}\)
View Solution

Question 37:

If \(9 : 15 : : 45 : x\), then the value of \(x\) is

(A) 75
(B) 3
(C) 27
(D) 9

Correct Answer: (C) 27
View Solution

Question 38:

Three solid spheres, whose radii are 3 cm, 4 cm and 5 cm melted into a single sphere, its radius is

(A) None of these
(B) 9 cm
(C) 6 cm
(D) 8 cm

Correct Answer: (C) 6 cm
View Solution

Question 39:

If the line \(PQ\) is parallel to line \(BC\) of \(\triangle ABC\), then

(A) \(\frac{AP}{PB} = \frac{AQ}{QC}\)
(B) \(\frac{AB}{AC} = \frac{AP}{AQ}\)
(C) \(\frac{AP}{AQ} = \frac{AB}{AC}\)
(D) \(\frac{BC}{AC} = \frac{AB}{AQ}\)

Correct Answer: (A) \(\frac{AP}{PB} = \frac{AQ}{QC}\)
View Solution

Question 40:

If \(\alpha, \beta\) are the roots of the equation \(2x^2 - 3x + 1 = 0\), then the value of \(\alpha^3 + \beta^3\) is

(A) \(\frac{9}{8}\)
(B) 8
(C) \(\frac{8}{9}\)
(D) 16

Correct Answer: (C) \(\frac{8}{9}\)
View Solution

Question 41:

Sum of two numbers is 21 and their difference is 11, then the greatest number is

(A) 5
(B) 10
(C) 9
(D) 16

Correct Answer: (B) 10
View Solution

Question 42:

If \(7x : 63 = 1 : 9\), then \(x\) is

(A) 1
(B) 2
(C) -1
(D) 3

Correct Answer: (D) 3
View Solution

Question 43:

Find the average of first fifty natural numbers

(A) 21.55
(B) 25
(C) 12.25
(D) 25.5

Correct Answer: (B) 25
View Solution

Question 44:

If \(\sqrt{2n} = 16\), then the value of \(n\) is

(A) 3
(B) 8
(C) 4
(D) 2

Correct Answer: (C) 4
View Solution

Question 45:

The value of \(\frac{a}{(a-b)(a-c)} + \frac{b}{(b-c)(b-a)} + \frac{c}{(c-a)(c-b)}\) is

(A) 2
(B) 0
(C) 3
(D) 1

Correct Answer: (B) 0
View Solution

Question 46:

If points \((1, 2), (x, -1), (4, 5)\) are collinear, then the value of \(x\) is

(A) -3
(B) -2
(C) 1
(D) 2

Correct Answer: (C) 1
View Solution

Question 47:

The value of \(\cos 15^\circ - \sin 15^\circ\) is equal to

(A) \(\frac{1}{\sqrt{2}}\)
(B) \(\frac{\sqrt{3}}{2}\)
(C) \(\frac{1}{3}\)
(D) \(\frac{1}{2}\)

Correct Answer: (A) \(\frac{1}{\sqrt{2}}\)
View Solution

Question 48:

Number of parallel tangents of a circle is

(A) 4
(B) \(\infty\)
(C) 1
(D) 2

Correct Answer: (D) 2
View Solution

Question 49:

If \(\cos \theta = \frac{1}{2}\), then the value of \(\tan 20^\circ\) is

(A) \(\frac{1}{\sqrt{3}}\)
(B) \(\sqrt{3}\)
(C) \(\frac{1}{\sqrt{2}}\)
(D) 1

Correct Answer: (A) \(\frac{1}{\sqrt{3}}\)
View Solution

Question 50:

\(\sin(-\theta)\) is equal to

(A) \(\cos \theta\)
(B) \(-\cos \theta\)
(C) \(\sin \theta\)
(D) \(-\sin \theta\)

Correct Answer: (D) \(-\sin \theta\)
View Solution

SECTION-II
PHYSICS , CHEMISTRY , AGRICULTURE

Question 51:

Potassium chloride contains K-(Approximate)

(A) 60%
(B) 80%
(C) 70%
(D) 50%

Correct Answer: (C) 70%
View Solution

Question 52:

Which of the following compounds can be used as anti-freeze in car radiators?

(A) Ethyl alcohol
(B) Methyl alcohol
(C) Ethylene glycol
(D) Glycerine

Correct Answer: (C) Ethylene glycol
View Solution

Question 53:

Which of the following atoms would be paramagnetic?

(A) Be
(B) N
(C) Ca
(D) Zn

Correct Answer: (B) N
View Solution

Question 54:

Which physical quantity is constant for a satellite in orbit?

(A) Angular velocity
(B) Angular acceleration
(C) Angular momentum
(D) Kinetic energy

Correct Answer: (C) Angular momentum
View Solution

Question 55:

“Pusha RH-10” is a hybrid variety of

(A) Bajra (millets)
(B) Basmati Rice
(C) Wheat
(D) Sugarcane

Correct Answer: (C) Wheat
View Solution

Question 56:

In the following figure, the equivalent resistance between ‘A’ and ‘B’ will be

(A) 12 \(\Omega\)
(B) 5 \(\Omega\)
(C) 2.25 \(\Omega\)
(D) 1.2 \(\Omega\)

Correct Answer: (B) 5 \(\Omega\)
View Solution

Question 57:

Which gas is used in Electric Bulb?

(A) Carbon dioxide
(B) Oxygen
(C) Helium
(D) Argon

Correct Answer: (D) Argon
View Solution

Question 58:

IUPAC name of

H\(_3\)C - C = CH - CH\(_2\) - CH\(_3\) Cl

(A) 2-chloro pentene-2
(B) 4-chloro pentene-3
(C) 2-chloro pentene-3
(D) 4-chloro pentene-4

Correct Answer: (C) 2-chloro pentene-3
View Solution

Question 59:

The value of one Faraday charge is

(A) 96500 Coulomb
(B) \(10^6\) Coulomb
(C) \(3.7 \times 10^6\) Coulomb
(D) \(6.23 \times 10^{23}\) Coulomb

Correct Answer: (A) 96500 Coulomb
View Solution

Question 60:

A particle of charge ‘q’, mass ‘m’ and velocity ‘v’, enters perpendicular to a magnetic field ‘B’, force on particle will be

(A) \(qvB\)
(B) \(\frac{q^2vB}{m}\)
(C) \(qvB\)
(D) \(qvB\)

Correct Answer: (A) \(qvB\)
View Solution

Question 61:

When \(10^{14}\) electrons are removed from a neutral metal sphere, the charge on the sphere becomes

(A) +32 \(\mu C\)
(B) -32 \(\mu C\)
(C) -16 \(\mu C\)
(D) +16 \(\mu C\)

Correct Answer: (B) -32 \(\mu C\)
View Solution

Question 62:

The correct order of Radii is

(A) N < Be < B
(B) F\(^{-}\) < O\(^{2-}\) < N\(^{3-}\)
(C) Na < Li < K
(D) Fe\(^{3+}\) < Fe\(^{2+}\) < Fe

Correct Answer: (D) Fe\(^{3+}\) < Fe\(^{2+}\) < Fe
View Solution

Question 63:

In a 10 cm long horizontal wire, 5 Amp current is flowing. The mass of the wire is \(3 \times 10^{-3}\) kg/m. What will be the field to keep wire stable?

(A) \(5.88 \times 10^{-6}\) Tesla downward
(B) 0.6 \(\times 10^{-3}\) Tesla upward
(C) \(5.88 \times 10^{-3}\) Tesla upward
(D) \(5.88 \times 10^{-3}\) Tesla downward

Correct Answer: (C) \(5.88 \times 10^{-3}\) Tesla upward
View Solution

Question 64:

Phenol with dilute HNO\(_3\) gives

(A) Meta and para nitrophenol
(B) Ortho and para nitrophenol
(C) Ortho and meta nitrophenol
(D) Tri nitrophenol

Correct Answer: (B) Ortho and para nitrophenol
View Solution

Question 65:

The metal that cannot displace hydrogen from dilute hydrochloric acid is

(A) Copper
(B) Zinc
(C) Aluminium
(D) Iron

Correct Answer: (A) Copper
View Solution

Question 66:

A force is applied on a 6 gm mass (at rest) for 20 seconds. After no force is exerted on it and after travelling distance of 50 cm in 5 seconds, mass stops. The amount of force in Newton will be

(A) \(5 \times 10^{-5}\) Newton
(B) \(5 \times 10^{-3}\) Newton
(C) \(0.2 \times 10^{-3}\) Newton
(D) \(0.2 \times 10^{-2}\) Newton

Correct Answer: (C) \(0.2 \times 10^{-3}\) Newton
View Solution

Question 67:

Work done during the expansion of a gas from a volume of \(4 \, dm^3\) to \(6 \, dm^3\) against a constant external pressure of 3 atm is (1 L atm = 101.32 J)

(A) \(-608 \, J\)
(B) \(-304 \, J\)
(C) \(+304 \, J\)
(D) \(-6 \, J\)

Correct Answer: (B) \(-304 \, \text{J}\)
View Solution

Question 68:

pH value of 0.0001 M HCl solution is

(A) 5
(B) 6
(C) 4
(D) 3

Correct Answer: (C) 4
View Solution

Question 69:

Little leaf disease of mango and brinjal is caused due to the deficiency of

(A) Iron (Fe)
(B) Calcium (Ca)
(C) Zinc (Zn)
(D) Sulphur (S)

Correct Answer: (A) Iron (Fe)
View Solution

Question 70:

Length of a rod increases 0.2% on increasing the temperature by 100°C. The value of coefficient of linear expansion of material of rod is

(A) \(2 \times 10^{-5}\) per °C
(B) None
(C) \(2 \times 10^{-4}\) per °C
(D) \(3 \times 10^{-5}\) per °C

Correct Answer: (A) \(2 \times 10^{-5}\) per °C
View Solution

Question 71:

A cycle tyre bursts suddenly. This represents an

(A) Isobaric process
(B) Adiabatic process
(C) Isothermal process
(D) Isochoric process

Correct Answer: (B) Adiabatic process
View Solution

Question 72:

How many electrons an atom have in M shell whose atomic number is 19?

(A) 6
(B) 1
(C) 8
(D) 7

Correct Answer: (C) 8
View Solution

Question 73:

Soils of Western Rajasthan have a high content of

(A) Aluminium
(B) Nitrogen
(C) Calcium
(D) Phosphorus

Correct Answer: (A) Aluminium
View Solution

Question 74:

A man can see upto 5 metre clearly. To see clear upto 10 m, the focal length of lens will be

(A) +20 metre
(B) -5 metre
(C) +10 metre
(D) -10 metre

Correct Answer: (B) -5 metre
View Solution

Question 75:

Two springs with spring constants \(K_1 = 1500 \, N/m\) and \(K_2 = 3000 \, N/m\) are stretched by the same force. The ratio of potential energy stored in spring will be

(A) 4 : 1
(B) 1 : 4
(C) 1 : 2
(D) 2 : 1

Correct Answer: (A) 4 : 1
View Solution

Question 76:

Which of the following is an insulator?

(A) Graphite
(B) Aluminium
(C) Diamond
(D) Silicon

Correct Answer: (C) Diamond
View Solution

Question 77:

The volume of a gas at 1140 mm of Hg pressure and 546°C temperature is 150 litre. The volume of gas at S.T.P. will be

(A) 150 litre
(B) 75 litres
(C) 750 litres
(D) 100 litres

Correct Answer: (B) 75 litres
View Solution

Question 78:

The metal which is found in the native state is

(A) Al
(B) Na
(C) Ca
(D) Au

Correct Answer: (D) Au
View Solution

Question 79:

Accepting the definition that an acid is a proton donor, the acid in the following reaction
\[ NH_3 + H_2O \rightleftharpoons NH_4^+ + OH^- \]
is

(A) OH\(^{-}\)
(B) NH\(_4^+\)
(C) H\(_2\)O
(D) NH\(_3\)

Correct Answer: (C) H\(_2\)O
View Solution

Question 80:

The number of neutrons in \(^{238}U\) is

(A) 146
(B) 92
(C) 330
(D) 238

Correct Answer: (A) 146
View Solution

Question 81:

If velocity of light in air is \(3 \times 10^8\) m/s and that in water is \(2 \times 10^8\) m/s, then what would be the critical angle?

(A) \(\sin^{-1}\left(\frac{3}{2}\right)\)
(B) \(\sin^{-1}\left(\frac{2}{3}\right)\)
(C) \(\tan^{-1}\left(\frac{3}{2}\right)\)
(D) \(\tan^{-1}\left(\frac{2}{3}\right)\)

Correct Answer: (B) \(\sin^{-1}\left(\frac{2}{3}\right)\)
View Solution

Question 82:

Number of moles in 180 grams of water is

(A) 18
(B) 10
(C) 100
(D) 1

Correct Answer: (A) 18
View Solution

Question 83:

An aqueous solution of Ferric chloride is

(A) Neutral
(B) Alkaline
(C) None
(D) Acidic

Correct Answer: (D) Acidic
View Solution

Question 84:

The order of radius of the nucleus of an atom is

(A) \(10^{-15}\) m
(B) \(10^{-17}\) m
(C) \(10^{-12}\) m
(D) \(10^{-10}\) m

Correct Answer: (B) \(10^{-17}\) m
View Solution

Question 85:

Which one of the following is the standard for atomic mass?

(A) \(^{12}_6C\)
(B) \(^{16}_8O\)
(C) \(^{1}_1H\)
(D) \(^{14}_6C\)

Correct Answer: (A) \(^{12}_6C\)
View Solution

Question 86:

Gobar gas contains mainly

(A) C\(_2\)H\(_6\)
(B) C\(_4\)H\(_10\)
(C) CH\(_4\)
(D) C\(_3\)H\(_8\)

Correct Answer: (C) CH\(_4\)
View Solution

Question 87:

Balance the equation
\[ {}^9_4Be + {}^4_2He \rightarrow {}^6_12C + \cdots \]

(A) \(\alpha\)-particles
(B) \(\beta\)-particles
(C) Positron
(D) Neutron

Correct Answer: (A) \(\alpha\)-particles
View Solution

Question 88:

Which of the following is not a nitrogenous fertilizer?

(A) Urea
(B) Ammonium Sulphate
(C) Super Phosphate
(D) Ammonium Nitrate

Correct Answer: (C) Super Phosphate
View Solution

Question 89:

The material of permanent magnet has

(A) Low retentivity, high coercivity
(B) High retentivity, low coercivity
(C) Low retentivity, low coercivity
(D) High retentivity, high coercivity

Correct Answer: (D) High retentivity, high coercivity
View Solution

Question 90:

Electrical conductivity of a semiconductor

(A) Decrease with the rise in its temperature
(B) First increases and then decreases with the rise in its temperature
(C) Increase with the rise in its temperature.
(D) Does not change with the rise in temperature.

Correct Answer: (C) Increase with the rise in its temperature.
View Solution

Question 91:

Water falls from 100 metre height. What will be temperature rise per kg of water due to fall?
\(g = 10 \, m/s^2\), specific heat of water = 4200 Joule/kg°C

(A) 2.238°C
(B) 1.238°C
(C) 0.0238°C
(D) 0.238°C

Correct Answer: (A) 2.238°C
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Question 92:

Zener diode is used as an

(A) Amplifier
(B) Voltage Regulator
(C) Oscillator
(D) Rectifier

Correct Answer: (B) Voltage Regulator
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Question 93:

A sphere of 150 kg is kept on frictionless surface. A bullet of 0.15 kg mass with velocity 200 m/sec strikes the sphere and stops. After collision the velocity of sphere will be

(A) 0.2 m/sec
(B) 2.0 m/sec
(C) 0.3 m/sec
(D) 0.5 m/sec

Correct Answer: (A) 0.2 m/sec
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Question 94:

Ammonia is commercially prepared by

(A) Ostwald process
(B) Haber’s process
(C) Contact process
(D) Lead Chamber process

Correct Answer: (B) Haber’s process
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Question 95:

The percentage of Calcium in CaCO\(_3\) is

(A) 52%
(B) 48%
(C) 20%
(D) 40%

Correct Answer: (B) 48%
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Question 96:

Modulus of rigidity of a liquid is

(A) Zero
(B) Infinite
(C) Negative and finite
(D) Positive and finite

Correct Answer: (A) Zero
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Question 97:

Least count of vernier calipers is 0.01 cm. Measuring the length of an object reading of main scale is 2.7 cm and the fifth division of vernier scale coincide with any division of main scale. The length of object will be