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B.Tech. Cyber Security 2025

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

Technical Subjects (80 Questions)

1. A projectile is launched with an initial velocity of 20 m/s at an angle of 45° to the horizontal. What is the vertical component of its velocity?

A) 14.14 m/s
B) 20 m/s
C) 10 m/s
D) 28.28 m/s

2. The dimensional formula for angular velocity is:

A) [T⁻²]
B) [T⁻¹]
C) [LT⁻¹]
D) [L⁻¹T]

3. A stone is dropped from a height of 80 m. How long does it take to reach the ground? (g = 10 m/s²)

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

4. A bulb is rated at 60 W when connected to a 120 V supply. What is the current through the bulb?

A) 0.25 A
B) 0.5 A
C) 1 A
D) 2 A

5. A wave has a wavelength of 2 m and a speed of 400 m/s. What is its frequency?

A) 200 Hz
B) 400 Hz
C) 800 Hz
D) 100 Hz

6. The SI unit of electric charge is:

A) Volt
B) Ohm
C) Coulomb
D) Ampere

7. The moment of inertia of a thin ring about its axis is:

A) MR²
B) MR²/2
C) 2MR²/3
D) MR²/4

8. A concave lens has a focal length of 20 cm. If an object is placed 40 cm away, what is the image distance?

A) 10 cm
B) 13.33 cm
C) 20 cm
D) 40 cm

9. A radioactive sample decays to 1/16 of its original amount in 12 days. What is its half-life?

A) 2 days
B) 4 days
C) 3 days
D) 6 days

10. The specific heat capacity of water is 4200 J/kg·K. How much heat is needed to raise the temperature of 2 kg of water by 10°C?

A) 42000 J
B) 84000 J
C) 21000 J
D) 168000 J

11. The escape velocity from the Earth’s surface is approximately:

A) 11.2 km/s
B) 7.9 km/s
C) 15 km/s
D) 9.8 km/s

12. A body of mass 5 kg moves with a velocity of 6 m/s. What is its kinetic energy?

A) 45 J
B) 90 J
C) 180 J
D) 360 J

13. The phenomenon of polarization is observed in:

A) Sound waves
B) Light waves
C) Both sound and light
D) Neither sound nor light

14. The unit of torque is:

A) N·m
B) N/m
C) kg·m/s
D) kg·m²/s²

15. A plane mirror produces an image that is:

A) Real and inverted
B) Real and upright
C) Virtual and upright
D) Virtual and inverted

16. The SI unit of magnetic flux is:

A) Tesla
B) Weber
C) Gauss
D) Henry

17. A car accelerates from 10 m/s to 30 m/s in 5 s. What is its acceleration?

A) 4 m/s²
B) 5 m/s²
C) 6 m/s²
D) 8 m/s²

18. The potential energy of a 3 kg object at a height of 10 m (g = 10 m/s²) is:

A) 150 J
B) 200 J
C) 300 J
D) 450 J

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

A) Cross-sectional area
B) Length
C) Temperature
D) Material density

20. The time period of a simple pendulum of length 1 m (g = 10 m/s²) is:

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

21. The speed of light in a medium with refractive index 1.5 is:

A) 3 × 10⁸ m/s
B) 2 × 10⁸ m/s
C) 1.5 × 10⁸ m/s
D) 2.5 × 10⁸ m/s

22. The energy stored in a 10 µF capacitor charged to 100 V is:

A) 0.05 J
B) 0.1 J
C) 0.15 J
D) 0.2 J

23. The critical angle for light traveling from glass to air depends on:

A) Wavelength of light
B) Intensity of light
C) Refractive index
D) Polarization of light

24. The de Broglie wavelength is associated with:

A) Photons only
B) Matter particles
C) Electromagnetic waves
D) Sound waves

25. The unit of power is:

A) Watt
B) Joule
C) Newton
D) Volt

26. The efficiency of a Carnot engine operating between 600 K and 400 K is:

A) 25%
B) 33.33%
C) 50%
D) 66.67%

27. The work function of a metal is 2.07 × 10⁻¹⁹ J. What is the threshold frequency?

A) 3.13 × 10¹⁴ Hz
B) 4.13 × 10¹⁴ Hz
C) 5.13 × 10¹⁴ Hz
D) 2.13 × 10¹⁴ Hz

28. The oxidation number of sulfur in H₂SO₄ is:

A) +4
B) +5
C) +6
D) +7

29. The IUPAC name of CH₃CH₂CH₂CH₂OH is:

A) Propanol
B) Butan-1-ol
C) Ethanol
D) Pentanol

30. The gas that behaves most like an ideal gas at room temperature is:

A) H₂
B) CO₂
C) NH₃
D) SO₂

31. The pH of a 0.01 M HCl solution is:

A) 1
B) 2
C) 3
D) 4

32. The hybridization of carbon in CH₂=CH₂ is:

A) sp
B) sp²
C) sp³
D) dsp²

33. The rate of a chemical reaction depends on:

A) Volume of the container
B) Shape of the container
C) Color of reactants
D) Concentration of reactants

34. The molecular formula of glucose is:

A) C₆H₁₂O₆
B) C₅H₁₀O₅
C) C₆H₁₀O₆
D) C₆H₁₂O₅

35. The element with atomic number 17 belongs to which group?

A) Group 15
B) Group 16
C) Group 17
D) Group 18

36. The bond order of O₂ molecule is:

A) 1
B) 1.5
C) 2
D) 3

37. The shape of NH₃ molecule is:

A) Linear
B) Bent
C) Trigonal pyramidal
D) Tetrahedral

38. The standard enthalpy of formation of CO₂ (g) is:

A) 0 kJ/mol
B) -285.8 kJ/mol
C) -393.5 kJ/mol
D) -110.5 kJ/mol

39. The catalyst used in the Haber process for ammonia production is:

A) V₂O₅
B) Fe
C) Pt
D) Ni

40. The number of moles in 44 g of CO₂ is:

A) 0.5
B) 0.75
C) 1
D) 2

41. The functional group in ketones is:

A) -CHO
B) -CO-
C) -OH
D) -COOH

42. The strongest oxidizing agent among the following is:

A) Li⁺
B) Na⁺
C) F₂
D) Cl₂

43. The high boiling point of H₂O compared to H₂S is due to:

A) Hydrogen bonding
B) Covalent bonding
C) Ionic bonding
D) Van der Waals forces

44. The chemical formula of baking soda is:

A) NaHCO₃
B) Na₂CO₃
C) CaCO₃
D) NaCl

45. The rate constant of a first-order reaction depends on:

A) Initial concentration
B) Temperature
C) Volume
D) Pressure

46. The primary source of alkanes is:

A) Coal
B) Biomass
C) Natural gas
D) Wood

47. The gas used in the manufacture of urea is:

A) Nitrogen
B) Oxygen
C) Ammonia
D) Hydrogen

48. The shape of PCl₅ molecule is:

A) Tetrahedral
B) Trigonal bipyramidal
C) Octahedral
D) Square planar

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

A) HCl
B) H₂SO₄
C) Oxalic acid
D) KOH

50. The electronegativity increases across a period due to:

A) Decrease in atomic radius
B) Increase in nuclear charge
C) Decrease in shielding effect
D) Increase in atomic mass

51. The product of the reaction between ethanol and concentrated H₂SO₄ at 140°C is:

A) Diethyl ether
B) Ethylene
C) Acetaldehyde
D) Ethane

52. The value of sin(π/6) + cos(π/3) is:

A) 1
B) √2
C) 2
D) √3

53. The derivative of 3x⁵ + 2x³ + 7 is:

A) 15x⁴ + 6x²
B) 15x⁴ + 6x²
C) 15x⁴ + 3x²
D) 12x⁴ + 6x²

54. The value of ∫(0 to 1) x² dx is:

A) 1/2
B) 1/3
C) 1/3
D) 1/4

55. The slope of the line 2x - 5y + 10 = 0 is:

A) 2/5
B) -2/5
C) 5/2
D) -5/2

56. The number of ways to arrange 5 distinct objects in a line is:

A) 60
B) 100
C) 120
D) 24

57. The roots of the equation x² - 8x + 15 = 0 are:

A) 3, 5
B) 2, 6
C) 1, 7
D) 4, 4

58. The value of log₂(8) is:

A) 2
B) 4
C) 3
D) 1

59. The sum of the first 10 terms of an arithmetic progression with first term 5 and common difference 3 is:

A) 185
B) 200
C) 215
D) 230

60. The eccentricity of the ellipse 9x² + 16y² = 144 is:

A) √7/4
B) √7/3
C) √5/4
D) √5/3

61. The value of cos(π/6) is:

A) 1/2
B) √3/2
C) √2/2
D) 1

62. The determinant of the matrix [[1, 2], [3, 4]] is:

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

63. The probability of drawing a red card from a standard deck of 52 cards is:

A) 1/3
B) 1/2
C) 1/4
D) 2/3

64. The equation of a circle with center (2, -3) and radius 4 is:

A) (x-2)² + (y+3)² = 16
B) (x+2)² + (y-3)² = 16
C) (x-2)² + (y+3)² = 4
D) (x+2)² + (y-3)² = 4

65. The value of ∫(0 to π/2) sin(x) dx is:

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

66. The sum of an infinite geometric series with first term 3 and common ratio 1/4 is:

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

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

A) 1
B) 2
C) 3
D) 4

68. The value of sin²(π/6) + cos²(π/6) is:

A) 0
B) 1
C) 2
D) 1/2

69. The degree of the polynomial 4x⁶ + 3x⁴ - 2x + 1 is:

A) 6
B) 4
C) 2
D) 1

70. The value of the determinant of a 3x3 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 = x² at the point (2, 4) is:

A) y = 4x - 4
B) y = 2x - 2
C) y = 4x + 4
D) y = x + 2

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

A) 0
B) 1
C) e - 1
D) e

74. The number of ways to choose 3 objects from 5 distinct objects is:

A) 5
B) 10
C) 15
D) 20

75. The vertex of the parabola y = x² - 4x + 3 is:

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

76. The value of cot(π/4) is:

A) √3
B) √2
C) 1
D) 1/√3

77. The rank of a 3x3 matrix with all elements equal to 1 is:

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

General Aptitude (20 Questions)

78. If today is Wednesday, what day will it be after 3 days?

A) Saturday
B) Sunday
C) Monday
D) Tuesday

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

A) Confusing
B) Vague
C) Clear
D) Obscure

80. The capital of Japan is:

A) Tokyo
B) Kyoto
C) Osaka
D) Hiroshima

81. If 5:25 :: 7:?, what is the missing number?

A) 35
B) 45
C) 49
D) 56

82. Choose the correctly spelled word:

A) Accomodate
B) Accommodate
C) Acommodate
D) Accomodation

83. The currency of India is:

A) Yen
B) Rupee
C) Yuan
D) Won

84. If the sequence is 2, 5, 9, 14, ?, what is the next term?

A) 18
B) 20
C) 20
D) 22

85. The antonym of "Big" is:

A) Large
B) Small
C) Huge
D) Great

86. The largest planet in our solar system is:

A) Jupiter
B) Saturn
C) Uranus
D) Neptune

87. If A is coded as 1, B as 2, and so on, what is the code for CAT?

A) 123
B) 234
C) 312
D) 456

88. Choose the correct form of the verb: She ___ to the market every Sunday.

A) Go
B) Goes
C) Going
D) Gone

89. The headquarters of WHO is located in:

A) Paris
B) New York
C) Geneva
D) Vienna

90. If 3 pens cost $12, how much will 5 pens cost?

A) $18
B) $19
C) $20
D) $22

91. The synonym of "Happy" is:

A) Sad
B) Joyful
C) Depressed
D) Angry

92. The longest river in the world is:

A) Nile
B) Amazon
C) Yangtze
D) Mississippi

93. If the sequence is 1, 3, 6, 10, ?, what is the next term?

A) 12
B) 14
C) 15
D) 16

94. Choose the correct preposition: She is good ___ mathematics.

A) At
B) In
C) On
D) With

95. The inventor of the telephone is:

A) Alexander Graham Bell
B) Thomas Edison
C) Nikola Tesla
D) Guglielmo Marconi

96. If 2:8 :: 5:?, what is the missing number?

A) 20
B) 25
C) 50
D) 40

97. The antonym of "Fast" is:

A) Quick
B) Slow
C) Rapid
D) Swift

98. The largest desert in the world is:

A) Sahara
B) Gobi
C) Kalahari
D) Antarctic

99. If A is coded as 1, B as 2, what is the code for X?

A) 22
B) 24
C) 23
D) 25

100. Choose the correct sentence:

A) She don’t like to swim.
B) She doesn’t likes to swim.
C) She doesn’t like to swim.
D) She don’t likes to swim.

Test Results

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