B.Tech. Cyber Security -NFAT Mock Test

NFAT Entrance Exam Mock Test for B.Tech. Cyber Security 2025

Technical Subjects (80 Questions)

1. A ball is thrown with an initial velocity of 15 m/s at an angle of 30° to the horizontal. What is the horizontal component of its velocity?

A) 7.5 m/s

B) 12.99 m/s

C) 15 m/s

D) 10 m/s

2. The dimensional formula for impulse is:

A) [MLT⁻²]

B) [ML²T⁻¹]

C) [MLT⁻¹]

D) [ML²T⁻²]

3. A body falls freely from a height of 45 m. What is the time taken to reach the ground? (g = 10 m/s²)

A) 3 s

B) 4 s

C) 5 s

D) 2 s

4. The power of an electric bulb rated at 100 W when connected to a 220 V supply is:

A) 50 W

B) 75 W

C) 100 W

D) 120 W

5. A sound wave has a frequency of 500 Hz and a speed of 340 m/s. What is its wavelength?

A) 0.34 m

B) 0.68 m

C) 1.36 m

D) 2.04 m

6. The SI unit of electric potential is:

A) Volt

B) Ohm

C) Ampere

D) Coulomb

7. The moment of inertia of a solid sphere about its diameter is:

A) MR²/3

B) 2MR²/5

C) MR²/2

D) 2MR²/3

8. A convex lens has a focal length of 25 cm. If an object is placed 50 cm away, where is the image formed?

A) 25 cm

B) 50 cm

C) 50 cm

D) 75 cm

9. A radioactive sample decays to 1/8 of its original amount in 9 days. What is its half-life?

A) 1 day

B) 2 days

C) 4 days

D) 3 days

10. The specific heat capacity of copper is 390 J/kg·K. How much heat is needed to raise the temperature of 1 kg of copper by 20°C?

A) 3900 J

B) 7800 J

C) 15600 J

D) 1950 J

11. The orbital velocity of a satellite orbiting close to Earth’s surface is approximately:

A) 7.9 km/s

B) 11.2 km/s

C) 5.6 km/s

D) 9.8 km/s

12. A body of mass 4 kg moves with a velocity of 5 m/s. What is its momentum?

A) 10 kg·m/s

B) 15 kg·m/s

C) 20 kg·m/s

D) 25 kg·m/s

13. The Doppler effect is observed in:

A) Light only

B) Both sound and light

C) Sound only

D) Neither sound nor light

14. The unit of angular momentum is:

A) kg·m²/s

B) kg·m/s

C) kg·m²/s²

D) kg·m/s²

15. A convex mirror has a focal length of 20 cm. If an object is placed 30 cm away, what is the image distance?

A) 10 cm

B) 12 cm

C) 15 cm

D) 20 cm

16. The SI unit of magnetic field strength is:

A) Weber

B) Gauss

C) Tesla

D) Ampere

17. A car accelerates uniformly from rest to 20 m/s in 5 s. What is the distance covered?

A) 50 m

B) 75 m

C) 100 m

D) 125 m

18. The kinetic energy of a 2 kg object moving at 10 m/s is:

A) 50 J

B) 100 J

C) 200 J

D) 400 J

19. The resistance of a wire is inversely proportional to:

A) Length

B) Temperature

C) Cross-sectional area

D) Material density

20. The frequency of a simple pendulum of length 0.25 m (g = 10 m/s²) is:

A) 1 Hz

B) 2 Hz

C) 0.5 Hz

D) 1.5 Hz

21. The speed of light in a medium with refractive index 1.33 is:

A) 2 × 10⁸ m/s

B) 2.26 × 10⁸ m/s

C) 3 × 10⁸ m/s

D) 1.5 × 10⁸ m/s

22. The energy stored in a 20 µF capacitor charged to 200 V is:

A) 0.4 J

B) 0.8 J

C) 1.2 J

D) 1.6 J

23. The phenomenon of total internal reflection occurs when light travels from:

A) Air to glass

B) Glass to air at less than critical angle

C) Glass to air at greater than critical angle

D) Air to water

24. The Heisenberg uncertainty principle relates:

A) Energy and time

B) Position and momentum

C) Velocity and time

D) Mass and energy

25. The unit of electric field strength is:

A) N/C

B) V/m²

C) J/C

D) C/m

26. The efficiency of a Carnot engine operating between 500 K and 300 K is:

A) 20%

B) 40%

C) 60%

D) 80%

27. The work function of a metal is 4.14 × 10⁻¹⁹ J. What is the threshold frequency?

A) 6.25 × 10¹⁴ Hz

B) 7.25 × 10¹⁴ Hz

C) 8.25 × 10¹⁴ Hz

D) 5.25 × 10¹⁴ Hz

28. The oxidation number of nitrogen in HNO₃ is:

A) +3

B) +4

C) +5

D) +6

29. The IUPAC name of CH₃CH₂CH₂OH is:

A) Ethanol

B) Propan-1-ol

C) Methanol

D) Butanol

30. The gas that shows the least deviation from ideal gas behavior is:

A) He

B) NH₃

C) CO₂

D) CH₄

31. The pH of a 0.001 M solution of NaOH is:

A) 11

B) 12

C) 10

D) 13

32. The hybridization of carbon in C₂H₂ is:

A) sp³

B) sp²

C) sp

D) dsp²

33. The rate of a reaction increases with temperature due to:

A) Decrease in concentration

B) Increase in activation energy

C) Decrease in collision frequency

D) Increase in molecular speed

34. The molecular formula of fructose is:

A) C₆H₁₂O₆

B) C₅H₁₀O₅

C) C₆H₁₀O₆

D) C₆H₁₂O₅

35. The element with atomic number 35 belongs to which group?

A) Group 15

B) Group 16

C) Group 17

D) Group 18

36. The bond order of N₂ molecule is:

A) 1

B) 3

C) 2

D) 1.5

37. The shape of H₂O molecule is:

A) Bent

B) Linear

C) Tetrahedral

D) Trigonal planar

38. The standard enthalpy of formation of H₂O (l) is:

A) 0 kJ/mol

B) -393.5 kJ/mol

C) -285.8 kJ/mol

D) -110.5 kJ/mol

39. The catalyst used in the contact process for sulfuric acid production is:

A) V₂O₅

B) Fe

C) Pt

D) Ni

40. The number of moles in 18 g of H₂O is:

A) 0.5

B) 1

C) 2

D) 1.5

41. The functional group in aldehydes is:

A) -OH

B) -COOH

C) -CHO

D) -NH₂

42. The strongest reducing agent among the following is:

A) Li

B) Na

C) K

D) Rb

43. The high boiling point of NH₃ compared to PH₃ is due to:

A) Hydrogen bonding

B) Covalent bonding

C) Ionic bonding

D) Van der Waals forces

44. The chemical formula of washing soda is:

A) NaHCO₃

B) NaCl

C) Na₂CO₃

D) CaCO₃

45. The half-life of a first-order reaction depends on:

A) Initial concentration

B) Rate constant

C) Temperature

D) Catalyst

46. The primary source of hydrocarbons is:

A) Petroleum

B) Coal

C) Natural gas

D) Biomass

47. The gas used in the manufacture of nitric acid is:

A) Nitrogen

B) Oxygen

C) Ammonia

D) Hydrogen

48. The shape of SF₆ molecule is:

A) Octahedral

B) Tetrahedral

C) Trigonal bipyramidal

D) Square planar

49. The primary standard used in the standardization of HCl is:

A) NaOH

B) H₂SO₄

C) Na₂CO₃

D) KOH

50. The ionization energy decreases down a group due to:

A) Decrease in atomic radius

B) Increase in shielding effect

C) Increase in electronegativity

D) Decrease in nuclear charge

51. The product of the reaction between ethanol and concentrated H₂SO₄ at 170°C is:

A) Diethyl ether

B) Acetaldehyde

C) Ethylene

D) Ethane

52. The value of cos(π/4) + sin(π/4) is:

A) 1

B) √2

C) 2

D) √3

53. The derivative of 2x⁴ + 3x² + 5 is:

A) 8x³ + 6x

B) 8x³ + 3x

C) 4x³ + 6x

D) 8x³ + 6x²

54. The value of ∫(0 to 2) x³ dx is:

A) 2

B) 4

C) 8

D) 16

55. The slope of the line 3x - 4y + 8 = 0 is:

A) 3/4

B) -3/4

C) 4/3

D) -4/3

56. The number of ways to arrange 4 distinct objects in a circle is:

A) 12

B) 24

C) 6

D) 8

57. The roots of the equation x² - 7x + 12 = 0 are:

A) 2, 5

B) 3, 4

C) 1, 6

D) 4, 5

58. The value of log₃(27) is:

A) 3

B) 2

C) 4

D) 1

59. The sum of the first 8 terms of an arithmetic progression with first term 3 and common difference 2 is:

A) 80

B) 88

C) 96

D) 104

60. The eccentricity of the ellipse 4x² + 9y² = 36 is:

A) √5/3

B) √5/2

C) √3/2

D) √3/3

61. The value of sin(π/3) is:

A) 1/2

B) 1

C) √3/2

D) √2/2

62. The determinant of the matrix [[2, 1], [1, 3]] is:

A) 5

B) 6

C) 7

D) 8

63. The probability of rolling an even number on a six-sided die is:

A) 1/2

B) 1/3

C) 1/4

D) 2/3

64. The equation of a circle with center (-1, 2) and radius 5 is:

A) (x+1)² + (y-2)² = 25

B) (x-1)² + (y+2)² = 25

C) (x+1)² + (y-2)² = 5

D) (x-1)² + (y+2)² = 5

65. The value of ∫(0 to π) cos(x) dx is:

A) 1

B) 0

C) -1

D) 2

66. The sum of an infinite geometric series with first term 2 and common ratio 1/3 is:

A) 3

B) 2

C) 4

D) 6

67. The number of solutions of the equation cos(x) = 0 in the interval [0, 2π] is:

A) 1

B) 2

C) 3

D) 4

68. The value of sin²(π/4) + cos²(π/4) is:

A) 0

B) 1

C) 2

D) 1/2

69. The degree of the polynomial 3x⁵ + 2x³ - x + 7 is:

A) 5

B) 3

C) 2

D) 1

70. The value of the determinant of a 2x2 identity matrix is:

A) 0

B) 2

C) 1

D) 3

71. The value of (1 - i)², where i is the imaginary unit, is:

A) 1 + i

B) -2i

C) 1 - i

D) 2

72. The equation of the tangent to the curve y = x³ at the point (1, 1) is:

A) y = 3x - 2

B) y = 2x - 1

C) y = 3x + 1

D) y = x + 2

73. The value of ∫(1 to e²) ln(x) dx is:

A) 1

B) e

C) 2e² - 1

D) e²

74. The number of ways to choose 2 objects from 6 distinct objects is:

A) 10

B) 15

C) 12

D) 20

75. The vertex of the parabola y = x² - 6x + 5 is:

A) (3, -4)

B) (3, 4)

C) (2, -3)

D) (2, 3)

76. The value of tan(π/3) is:

A) 1

B) √2

C) √3

D) 1/√3

77. The rank of a 2x3 matrix with all elements equal to 0 is:

A) 1

B) 0

C) 2

D) 3

General Aptitude (20 Questions)

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

A) Sunday

B) Monday

C) Wednesday

D) Thursday

79. Choose the word most similar in meaning to "Vivid":

A) Dull

B) Faint

C) Bright

D) Pale

80. The capital of Germany is:

A) Berlin

B) Paris

C) Madrid

D) Rome

81. If 4:16 :: 6:?, what is the missing number?

A) 24

B) 32

C) 36

D) 48

82. Choose the correctly spelled word:

A) Recieve

B) Receive

C) Recieve

D) Receeve

83. The currency of China is:

A) Yuan

B) Yen

C) Won

D) Ringgit

84. If the sequence is 3, 6, 10, 15, ?, what is the next term?

A) 18

B) 20

C) 21

D) 22

85. The antonym of "Heavy" is:

A) Large

B) Light

C) Big

D) Strong

86. The smallest planet in our solar system is:

A) Mercury

B) Mars

C) Venus

D) Pluto

87. If A is coded as 2, B as 3, and so on, what is the code for DOG?

A) 456

B) 567

C) 415

D) 678

88. Choose the correct form of the verb: They ___ to the park every weekend.

A) Goes

B) Go

C) Going

D) Gone

89. The headquarters of UNESCO is located in:

A) Paris

B) New York

C) Geneva

D) Vienna

90. If 2 books cost $10, how much will 5 books cost?

A) $20

B) $22

C) $25

D) $30

91. The synonym of "Brave" is:

A) Weak

B) Courageous

C) Fearful

D) Timid

92. The largest ocean in the world is:

A) Pacific Ocean

B) Atlantic Ocean

C) Indian Ocean

D) Arctic Ocean

93. If the sequence is 1, 4, 8, 13, ?, what is the next term?

A) 16

B) 18

C) 20

D) 22

94. Choose the correct preposition: He is proficient ___ coding.

A) In

B) At

C) On

D) With

95. The inventor of the light bulb is:

A) Thomas Edison

B) Nikola Tesla

C) Alexander Graham Bell

D) Guglielmo Marconi

96. If 3:9 :: 7:?, what is the missing number?

A) 18

B) 21

C) 27

D) 30

97. The antonym of "Old" is:

A) Ancient

B) Young

C) Elderly

D) Mature

98. The highest mountain in the world is:

A) Mount Everest

B) K2

C) Kangchenjunga

D) Lhotse

99. If Z is coded as 26, Y as 25, what is the code for W?

A) 22

B) 23

C) 24

D) 25

100. Choose the correct sentence:

A) He don’t like to play soccer.

B) He doesn’t likes to play soccer.

C) He doesn’t like to play soccer.

D) He don’t likes to play soccer.

Test Results