NFAT Entrance Exam Mock Test for B.Tech. Cyber Security 2025
Technical Subjects (80 Questions)
1. A particle moves with constant acceleration. If its initial velocity is 10 m/s and it travels 100 m in 5 s, what is its acceleration?
2. The dimensional formula of Planck’s constant is:
3. A body is projected vertically upward with a velocity of 20 m/s. What is the maximum height reached? (g = 10 m/s²)
4. The work done in moving a charge of 2 C across a potential difference of 5 V is:
5. The frequency of a wave is 200 Hz, and its wavelength is 2 m. What is the speed of the wave?
6. The unit of electric field intensity is:
7. The moment of inertia of a thin rod of mass M and length L about an axis perpendicular to its length through its center is:
8. A lens has a focal length of 20 cm. If an object is placed 30 cm from the lens, where is the image formed?
9. The half-life of a radioactive substance is 2 days. How much of a 100 g sample remains after 6 days?
10. The specific heat capacity of water is 4200 J/kg·K. How much heat is required to raise the temperature of 2 kg of water by 10°C?
11. The escape velocity from the Earth’s surface is approximately:
12. A body of mass 2 kg is moving with a velocity of 10 m/s. What is its kinetic energy?
13. The speed of sound in air at 20°C is approximately:
14. The unit of power is:
15. The focal length of a concave mirror is 10 cm. If an object is placed at 15 cm, what is the image distance?
16. The SI unit of magnetic flux is:
17. A car moves with a uniform velocity of 20 m/s. What is the distance covered in 10 s?
18. The potential energy of a body of mass 5 kg at a height of 10 m is (g = 10 m/s²):
19. The resistance of a conductor is directly proportional to:
20. The time period of a simple pendulum of length 1 m (g = 10 m/s²) is:
21. The refractive index of a medium is 1.5. What is the speed of light in that medium?
22. A capacitor of 10 µF is charged to 100 V. The energy stored in it is:
23. The angle of incidence for which the angle of refraction is 90° is called:
24. The de Broglie wavelength of a particle is given by:
25. The unit of electric dipole moment is:
26. The efficiency of a Carnot engine operating between 400 K and 300 K is:
27. The threshold frequency for a metal is 5 × 10¹⁴ Hz. The work function of the metal is:
28. The oxidation number of sulfur in H₂SO₄ is:
29. The IUPAC name of CH₃CH₂OH is:
30. The gas that deviates most from ideal gas behavior is:
31. The pH of a 0.01 M solution of HCl is:
32. The hybridization of carbon in CH₄ is:
33. The rate of a chemical reaction doubles for every 10°C rise in temperature. This is due to:
34. The molecular formula of glucose is:
35. The element with atomic number 17 belongs to which group in the periodic table?
36. The bond order of O₂ molecule is:
37. The shape of NH₃ molecule is:
38. The standard enthalpy of formation of CO₂ is:
39. The catalyst used in the Haber process for ammonia synthesis is:
40. The number of moles in 44 g of CO₂ is:
41. The functional group in alcohols is:
42. The strongest oxidizing agent among the following is:
43. The boiling point of water is highest among the hydrides of group 16 due to:
44. The chemical formula of baking soda is:
45. The order of a reaction is determined by:
46. The main source of organic compounds is:
47. The gas used in the manufacture of urea is:
48. The shape of CO₂ molecule is:
49. The primary standard used in the standardization of NaOH is:
50. The atomic radius increases down a group due to:
51. The product of the reaction between ethanol and concentrated H₂SO₄ at 140°C is:
52. The value of sin(π/6) + cos(π/3) is:
53. The derivative of x³ + 2x² + 3x + 4 is:
54. The value of ∫(0 to 1) x² dx is:
55. The slope of the line 2x + 3y + 6 = 0 is:
56. The number of ways to arrange 5 distinct objects in a row is:
57. The roots of the equation x² - 5x + 6 = 0 are:
58. The value of log₂(8) is:
59. The sum of the first 10 terms of an arithmetic progression with first term 2 and common difference 3 is:
60. The eccentricity of the ellipse 9x² + 16y² = 144 is:
61. The value of tan(π/4) is:
62. The determinant of the matrix [[1, 2], [3, 4]] is:
63. The probability of getting a head when a coin is tossed is:
64. The equation of a circle with center (2, 3) and radius 4 is:
65. The value of ∫(0 to π/2) sin(x) dx is:
66. The sum of an infinite geometric series with first term 1 and common ratio 1/2 is:
67. The number of solutions of the equation sin(x) = 0 in the interval [0, 2π] is:
68. The value of cos²(π/6) + sin²(π/6) is:
69. The degree of the polynomial x⁴ + 2x³ - 3x² + 5 is:
70. The value of the determinant of a 3x3 identity matrix is:
71. The value of (1 + i)², where i is the imaginary unit, is:
72. The equation of the tangent to the curve y = x² at the point (1, 1) is:
73. The value of ∫(1 to e) ln(x) dx is:
74. The number of ways to choose 3 objects from 5 distinct objects is:
75. The vertex of the parabola y = x² - 4x + 3 is:
76. The value of cos(2π/3) is:
77. The rank of a 3x3 matrix with all elements equal to 1 is:
General Aptitude (20 Questions)
78. If the day after tomorrow is Wednesday, what day is it today?
79. Choose the word that is most similar in meaning to "Candid":
80. The capital of France is:
81. If 5:25 :: 7:?, what is the missing number?
82. Choose the correctly spelled word:
83. The currency of Japan is:
84. If the sequence is 2, 4, 7, 11, ?, what is the next term?
85. The antonym of "Big" is:
86. The largest planet in our solar system is:
87. If A is coded as 1, B as 2, and so on, what is the code for CAT?
88. Choose the correct form of the verb: She ___ to the market every day.
89. The headquarters of the United Nations is located in:
90. If 3 pens cost $9, how much will 5 pens cost?
91. The synonym of "Quick" is:
92. The smallest country in the world is:
93. If the sequence is 1, 3, 6, 10, ?, what is the next term?
94. Choose the correct preposition: She is good ___ singing.
95. The inventor of the telephone is:
96. If 4:16 :: 5:?, what is the missing number?
97. The antonym of "Happy" is:
98. The longest river in the world is:
99. If P is coded as 16, Q as 17, what is the code for S?
100. Choose the correct sentence:
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