NFAT BTech Computer Science Entrance Exam Mock Test 2025

Physics (27 Questions)

1. A particle moves along a straight line with velocity \( v(t) = 4t - t^2 \). What is the displacement from \( t = 1 \, \text{s} \) to \( t = 3 \, \text{s} \)?

A) 8 m

B) 4 m

C) 12 m

D) 16 m

2. In a single-slit diffraction experiment, the slit width is 0.1 mm, and the screen is 2 m away. If the wavelength of light is 500 nm, what is the width of the central maximum?

A) 2 cm

B) 1 cm

C) 4 cm

D) 0.5 cm

3. A block of mass 5 kg is pushed with a force of 20 N at an angle of 30° to the horizontal. If the coefficient of friction is 0.2 and \( g = 10 \, \text{m/s}^2 \), what is the acceleration?

A) 1.5 m/s\(^2\)

B) 2 m/s\(^2\)

C) 2.5 m/s\(^2\)

D) 3 m/s\(^2\)

4. A gas undergoes an isothermal process at 300 K, with initial volume 2 L and final volume 4 L. If the initial pressure is 2 atm, what is the final pressure?

A) 4 atm

B) 1 atm

C) 2 atm

D) 0.5 atm

5. A planet has twice the mass and half the radius of Earth. What is the acceleration due to gravity on its surface (\( g_{\text{Earth}} = 9.8 \, \text{m/s}^2 \))?

A) 39.2 m/s\(^2\)

B) 19.6 m/s\(^2\)

C) 9.8 m/s\(^2\)

D) 4.9 m/s\(^2\)

6. A convex lens of focal length 25 cm forms an image at 50 cm. What is the object distance?

A) 25 cm

B) 50 cm

C) 16.67 cm

D) 75 cm

7. A current of 5 A flows through a wire of resistance 10 Ω. What is the power dissipated?

A) 250 W

B) 500 W

C) 100 W

D) 50 W

8. The half-life of a radioactive substance is 10 days. What fraction remains after 20 days?

A) 1/4

B) 1/2

C) 1/8

D) 1/16

9. A wheel rotates with angular velocity \( \omega = 5t + 3 \). What is the angular acceleration at \( t = 2 \, \text{s} \)?

A) 3 rad/s\(^2\)

B) 5 rad/s\(^2\)

C) 10 rad/s\(^2\)

D) 8 rad/s\(^2\)

10. A sound wave of frequency 500 Hz travels in air (speed 340 m/s). What is its wavelength?

A) 0.34 m

B) 1.7 m

C) 0.68 m

D) 2 m

11. A charged particle (\( q = 1 \, \mu \text{C} \), \( m = 2 \, \text{mg} \)) is in an electric field \( \vec{E} = 500 \hat{i} \, \text{V/m} \). What is its acceleration?

A) 250 m/s\(^2\)

B) 500 m/s\(^2\)

C) 125 m/s\(^2\)

D) 1000 m/s\(^2\)

12. A projectile is launched with speed 20 m/s at 60° to the horizontal. What is the maximum height (\( g = 10 \, \text{m/s}^2 \))?

A) 15 m

B) 7.5 m

C) 10 m

D) 5 m

13. A photon has wavelength 400 nm. What is its energy (in eV)?

A) 3.1 eV

B) 1.55 eV

C) 6.2 eV

D) 12.4 eV

14. In an isobaric process, a gas expands from 1 L to 3 L at 2 atm. What is the work done?

A) 200 J

B) 400 J

C) 600 J

D) 100 J

15. A particle moves in a magnetic field \( \vec{B} = 0.4 \hat{k} \, \text{T} \) with velocity \( \vec{v} = (3 \hat{i} + 4 \hat{j}) \, \text{m/s} \). If \( q = 2 \, \mu \text{C} \), what is the force?

A) \( (4.8 \hat{j} + 3.6 \hat{i}) \times 10^{-6} \, \text{N} \)

B) \( (-4.8 \hat{j} + 3.6 \hat{i}) \times 10^{-6} \, \text{N} \)

C) \( (-3.6 \hat{j} + 4.8 \hat{i}) \times 10^{-6} \, \text{N} \)

D) Zero

16. A lens has focal length 20 cm. An object is placed 30 cm from it. What is the magnification?

A) -2

B) -1

C) 1

D) 2

17. A simple harmonic oscillator has amplitude 5 cm and period 2 s. What is its maximum velocity?

A) 5 cm/s

B) 15.7 cm/s

C) 10 cm/s

D) 31.4 cm/s

18. A transformer has 400 primary and 800 secondary turns. If the input voltage is 110 V, what is the output voltage?

A) 220 V

B) 55 V

C) 440 V

D) 110 V

19. In a Young’s double-slit experiment, if the slit separation is halved, the fringe width:

A) Halves

B) Doubles

C) Remains the same

D) Quadruples

20. A body of mass 2 kg falls from a height of 10 m. What is its kinetic energy just before hitting the ground (\( g = 10 \, \text{m/s}^2 \))?

A) 200 J

B) 100 J

C) 400 J

D) 50 J

21. A wire of resistance 10 Ω is stretched to double its length. What is the new resistance?

A) 20 Ω

B) 5 Ω

C) 40 Ω

D) 15 Ω

22. A particle in SHM has a period of 4 s and amplitude 10 cm. What is its velocity at the mean position?

A) 5 cm/s

B) 15.7 cm/s

C) 10 cm/s

D) 31.4 cm/s

23. A concave mirror has a focal length of 20 cm. An object is placed 30 cm from the mirror. Where is the image formed?

A) 60 cm in front of the mirror

B) 60 cm behind the mirror

C) 30 cm in front of the mirror

D) 30 cm behind the mirror

24. A rocket ejects gas at 2000 m/s with a mass ejection rate of 10 kg/s. What is the thrust?

A) 10000 N

B) 20000 N

C) 5000 N

D) 40000 N

25. A block of mass 3 kg slides down a 45° incline with a coefficient of friction 0.1. What is its acceleration (\( g = 10 \, \text{m/s}^2 \))?

A) 4 m/s\(^2\)

B) 5 m/s\(^2\)

C) 6.1 m/s\(^2\)

D) 7 m/s\(^2\)

26. A parallel plate capacitor has plates of area 0.02 m\(^2\) separated by 0.2 mm. What is its capacitance (\( \epsilon_0 = 8.85 \times 10^{-12} \, \text{F/m} \))?

A) 0.885 nF

B) 1.77 nF

C) 0.442 nF

D) 3.54 nF

27. A solenoid has 1000 turns over 0.5 m and carries 2 A. What is the magnetic field at its center (\( \mu_0 = 4\pi \times 10^{-7} \, \text{Tm/A} \))?

A) 5.02 × 10\(^{-3}\) T

B) 1.26 × 10\(^{-3}\) T

C) 2.51 × 10\(^{-3}\) T

D) 10.04 × 10\(^{-3}\) T

Chemistry (26 Questions)

28. The cell potential of \( \text{Ag}|\text{Ag}^+ (0.1 \, \text{M}) || \text{Cu}^{2+} (0.01 \, \text{M})|\text{Cu} \), \( E^\circ_{\text{cell}} = 0.46 \, \text{V} \) at 298 K is:

A) 0.49 V

B) 0.43 V

C) 0.52 V

D) 0.40 V

29. A reaction \( 2\text{A} + \text{B} \to \text{C} \) has rate law \( \text{Rate} = k[\text{A}][\text{B}]^2 \). If [A] is doubled and [B] is halved, what happens to the rate?

A) Doubles

B) Halves

C) Remains same

D) Quadruples

30. Which molecule has zero dipole moment?

A) \( \text{NH}_3 \)

B) \( \text{H}_2\text{O} \)

C) \( \text{BF}_3 \)

D) \( \text{HCl} \)

31. The major product of propene with \( \text{HBr} \) in the absence of peroxides is:

A) 1-Bromopropane

B) 2-Bromopropane

C) 1,2-Dibromopropane

D) 2,2-Dibromopropane

32. For a reaction, \( \Delta H = -100 \, \text{kJ/mol} \), \( \Delta S = -200 \, \text{J/mol} \cdot \text{K} \). At what temperature is it spontaneous?

A) Below 500 K

B) Above 500 K

C) Below 400 K

D) Above 600 K

33. The distance between (200) planes in a cubic crystal with lattice parameter 4 Å is:

A) 4 Å

B) 2 Å

C) 1 Å

D) 8 Å

34. The magnetic moment of \( [\text{Co}(\text{NH}_3)_6]^{3+} \) is:

A) 0 BM

B) 4.9 BM

C) 2.83 BM

D) 1.73 BM

35. Benzene with \( \text{Br}_2 \) in the presence of \( \text{FeBr}_3 \) yields:

A) Benzyl bromide

B) Bromobenzene

C) 1,2-Dibromobenzene

D) Hexabromobenzene

36. If a Daniell cell’s salt bridge is removed, what happens?

A) Cell potential increases

B) Cell stops functioning

C) Current increases

D) Electrodes dissolve

37. The pH of a 0.1 M solution of a weak acid (pKa = 5) is:

A) 3

B) 5

C) 7

D) 9

38. The hybridization of carbon in ethyne is:

A) sp\(^2\)

B) sp\(^3\)

C) sp

D) dsp\(^2\)

39. For \( 2\text{NO} + \text{O}_2 \to 2\text{NO}_2 \), if \( \Delta H = -114 \, \text{kJ/mol} \), what is \( \Delta H_f \) of \( \text{NO}_2 \)?

A) -57 kJ/mol

B) -114 kJ/mol

C) -28.5 kJ/mol

D) -228 kJ/mol

40. Which gas deviates most from ideal behavior at high pressure?

A) He

B) O\( _2 \)

C) CO\( _2 \)

D) N\( _2 \)

41. The oxidation state of Cr in \( \text{K}_2\text{Cr}_2\text{O}_7 \) is:

A) +4

B) +6

C) +7

D) +5

42. The half-life of a first-order reaction is 30 min with rate constant 0.0231 min\(^{-1}\). What is the time for 75% completion?

A) 60 min

B) 45 min

C) 90 min

D) 30 min

43. The IUPAC name of \( \text{CH}_3\text{CH}_2\text{COCH}_2\text{OH} \) is:

A) 4-Hydroxybutan-2-one

B) 3-Hydroxybutan-2-one

C) 4-Hydroxybutanal

D) 2-Hydroxybutan-4-one

44. In a titration of \( \text{H}_2\text{SO}_4 \) with NaOH, the indicator phenolphthalein changes color at pH:

A) 4

B) 9

C) 7

D) 2

45. The bond order of \( \text{O}_2^+ \) is:

A) 2.5

B) 2

C) 1.5

D) 3

46. The solubility product of \( \text{AgCl} \) is \( 1.8 \times 10^{-10} \). What is its solubility in 0.1 M \( \text{NaCl} \)?

A) \( 1.8 \times 10^{-9} \, \text{M} \)

B) \( 1.8 \times 10^{-10} \, \text{M} \)

C) \( 1.8 \times 10^{-8} \, \text{M} \)

D) \( 1.8 \times 10^{-11} \, \text{M} \)

47. The primary standard used in redox titration is:

A) \( \text{KMnO}_4 \)

B) \( \text{K}_2\text{Cr}_2\text{O}_7 \)

C) \( \text{Na}_2\text{S}_2\text{O}_3 \)

D) \( \text{I}_2 \)

48. The structure of \( \text{XeF}_4 \) is:

A) Linear

B) Trigonal bipyramidal

C) Square planar

D) Tetrahedral

49. The enthalpy of neutralization of a strong acid and weak base is:

A) Less than -57.3 kJ/mol

B) -57.3 kJ/mol

C) More than -57.3 kJ/mol

D) Zero

50. The catalyst used in the Haber process is:

A) Fe

B) \( \text{V}_2\text{O}_5 \)

C) Pt

D) Ni

51. The number of stereoisomers of 2,3-dichlorobutane is:

A) 2

B) 3

C) 4

D) 6

52. The boiling point of methanol is higher than methane due to:

A) Hydrogen bonding

B) London forces

C) Dipole-dipole interactions

D) Covalent bonding

53. The coordination number of \( \text{Ni} \) in \( [\text{Ni}(\text{en})_3]^{2+} \) is:

A) 4

B) 6

C) 8

D) 5

Mathematics (27 Questions)

54. If \( z = x + iy \) satisfies \( |z - 3| = 2 \), what is the minimum value of \( |z| \)?

A) 1

B) 2

C) 3

D) 4

55. The number of ways to distribute 6 identical balls into 4 distinct boxes with at least one ball per box is:

A) \( \binom{5}{3} \)

B) \( \binom{6}{3} \)

C) \( \binom{5}{4} \)

D) \( \binom{6}{4} \)

56. The value of \( \int_{0}^{\pi/4} \tan x \, dx \) is:

A) \( \ln \sqrt{2} \)

B) \( \ln 2 \)

C) \( \ln \sqrt{3} \)

D) \( \ln 3 \)

57. The sum of the series \( 1 + \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + \dots \) to infinity is:

A) 1

B) 2

C) 3

D) 4

58. The eccentricity of the ellipse \( \frac{x^2}{25} + \frac{y^2}{16} = 1 \) is:

A) \( \frac{3}{5} \)

B) \( \frac{4}{5} \)

C) \( \frac{2}{5} \)

D) \( \frac{1}{5} \)

59. If \( \sin^{-1}x + \sin^{-1}y = \frac{\pi}{2} \), what is \( x^2 + y^2 \)?

A) 0

B) 1

C) 2

D) -1

60. The number of solutions to \( \sin x - \cos x = 0 \) in \( [0, 2\pi] \) is:

A) 2

B) 1

C) 3

D) 4

61. If \( A = \begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix} \), what is the trace of \( A^2 \)?

A) 16

B) 29

C) 25

D) 20

62. The probability that a non-leap year has 53 Sundays is:

A) \( \frac{1}{7} \)

B) \( \frac{2}{7} \)

C) \( \frac{3}{7} \)

D) \( \frac{4}{7} \)

63. The area enclosed by \( |x| + |y| = 2 \) is:

A) 4

B) 8

C) 16

D) 2

64. If \( f(x) = x^3 - 6x^2 + 11x - 6 \), how many real roots does it have?

A) 3

B) 1

C) 2

D) 0

65. The value of \( \lim_{x \to 0} \frac{x - \sin x}{x^3} \) is:

A) \( \frac{1}{6} \)

B) \( \frac{1}{3} \)

C) 0

D) \( -\frac{1}{6} \)

66. The number of ways to arrange 4 distinct books on a shelf is:

A) 24

B) 12

C) 6

D) 48

67. If \( \vec{a} = 2\hat{i} + \hat{j} \) and \( \vec{b} = \hat{i} - 2\hat{j} \), what is the angle between them?

A) 0°

B) 90°

C) 45°

D) 180°

68. The value of \( \int_{0}^{\pi/2} \cos^2 x \, dx \) is:

A) \( \frac{\pi}{4} \)

B) \( \frac{\pi}{2} \)

C) \( \frac{\pi}{8} \)

D) \( \pi \)

69. The radius of the circle \( x^2 + y^2 + 2x - 4y - 4 = 0 \) is:

A) 2

B) 3

C) 4

D) 5

70. If \( f(x) = x^2 - 4x + 4 \), what is the inverse function?

A) \( f^{-1}(x) = 2 + \sqrt{x} \)

B) \( f^{-1}(x) = 2 - \sqrt{x} \)

C) \( f^{-1}(x) = x + 2 \)

D) \( f^{-1}(x) = x - 2 \)

71. The sum of the roots of \( x^2 - 4x + k = 0 \) is 4. If one root is 3, what is \( k \)?

A) 3

B) 4

C) 5

D) 6

72. The value of \( \sin^{-1}(\sin 7\pi/6) \) is:

A) \( \pi/6 \)

B) \( 7\pi/6 \)

C) \( 5\pi/6 \)

D) \( -\pi/6 \)

73. The number of solutions to \( |x - 2| + |x - 3| = 1 \) is:

A) 0

B) 2

C) 1

D) Infinite

74. The differential equation \( \frac{dy}{dx} = -y \) has the solution:

A) \( y = Ce^{-x} \)

B) \( y = Ce^x \)

C) \( y = Cx \)

D) \( y = C/x \)

75. If \( P(A) = 0.3 \), \( P(B) = 0.4 \), and \( P(A \cap B) = 0.1 \), what is \( P(A \cup B) \)?

A) 0.5

B) 0.6

C) 0.7

D) 0.8

76. The slope of the tangent to \( y = x^2 - 3x + 2 \) at \( x = 2 \) is:

A) 1

B) 2

C) 3

D) 4

77. The value of \( \sum_{n=1}^{\infty} \frac{1}{n^4} \) is:

A) \( \pi^4/60 \)

B) \( \pi^4/90 \)

C) \( \pi^4/120 \)

D) \( \pi^4/30 \)

78. The number of ways to choose 2 items from 6 is:

A) 15

B) 12

C) 10

D) 20

79. The equation of the plane through (2, 1, 3) and perpendicular to \( \vec{n} = 2\hat{i} + \hat{j} + \hat{k} \) is:

A) \( 2x + y + z = 6 \)

B) \( 2x + y + z = 10 \)

C) \( 2x + y + z = 8 \)

D) \( 2x + y + z = 12 \)

80. The value of \( \lim_{x \to \infty} \left(1 + \frac{3}{x}\right)^x \) is:

A) \( e^3 \)

B) \( e^2 \)

C) \( e^4 \)

D) \( e \)

Reasoning, English Grammar, General Knowledge & Awareness (20 Questions)

81. If BANANA is coded as CBQBOF, how is ORANGE coded?

A) PQBOHF

B) PSBOHF

C) PQFSLI

D) PSBOIF

82. Choose the correct sentence:

A) Neither the boys nor the girl were present.

B) Neither the boys nor the girl was present.

C) Neither the boys or the girl was present.

D) Neither the boys nor the girl were present.

83. Who won the Nobel Prize in Physics for the theory of relativity?

A) Niels Bohr

B) Albert Einstein

C) Max Planck

D) Werner Heisenberg

84. As of June 2025, which country is the current chair of the G20?

A) Brazil

B) India

C) South Africa

D) Germany

85. If tomorrow is Tuesday, what day is it today?

A) Sunday

B) Tuesday

C) Monday

D) Wednesday

86. Choose the word that best completes the analogy: Tall : Short :: Big : ?

A) Small

B) Large

C) Huge

D) Wide

87. The synonym of "transient" is:

A) Permanent

B) Temporary

C) Eternal

D) Constant

88. Which Indian state has the longest coastline?

A) Gujarat

B) Tamil Nadu

C) Andhra Pradesh

D) Maharashtra

89. In a group of 4 people, A speaks to B, B speaks to C, and C speaks to D. How many intermediaries are needed for A to send a message to D?

A) 1

B) 3

C) 2

D) 4

90. The antonym of "exacerbate" is:

A) Worsen

B) Alleviate

C) Aggravate

D) Intensify

91. The headquarters of UNESCO is located in:

A) Paris

B) New York

C) Geneva

D) Vienna

92. If 4 workers build a wall in 8 days, how many days will 8 workers take to build the same wall?

A) 16

B) 4

C) 6

D) 12

93. Choose the correctly spelled word:

A) Necessary

B) Neccessary

C) Necesary

D) Necassary

94. The first Indian to win an individual Olympic gold medal is:

A) Sushil Kumar

B) Abhinav Bindra

C) Vijender Singh

D) Neeraj Chopra

95. If the sequence is 2, 5, 11, 23, 44, …, what is the next term?

A) 74

B) 76

C) 78

D) 80

96. The meaning of the idiom "to spill the beans" is:

A) To create a mess

B) To reveal a secret

C) To be careless

D) To be dishonest

97. The currency of Brazil is:

A) Real

B) Peso

C) Dollar

D) Euro

98. A clock shows 6:00. After 3 hours and 30 minutes, what is the angle between the hour and minute hands?

A) 45°

B) 15°

C) 30°

D) 60°

99. The author of "The Discovery of India" is:

A) Jawaharlal Nehru

B) Mahatma Gandhi

C) Rabindranath Tagore

D) Subhas Chandra Bose

100. If all dogs are mammals and some mammals are black, which statement is true?

A) All dogs are black

B) Some dogs may be black

C) No dogs are black

D) All mammals are dogs

Test Results