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?
2. The dimensional formula for angular velocity is:
3. A stone is dropped from a height of 80 m. How long does it take to reach the ground? (g = 10 m/s²)
4. A bulb is rated at 60 W when connected to a 120 V supply. What is the current through the bulb?
5. A wave has a wavelength of 2 m and a speed of 400 m/s. What is its frequency?
6. The SI unit of electric charge is:
7. The moment of inertia of a thin ring about its axis is:
8. A concave lens has a focal length of 20 cm. If an object is placed 40 cm away, what is the image distance?
9. A radioactive sample decays to 1/16 of its original amount in 12 days. What is its half-life?
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?
11. The escape velocity from the Earth’s surface is approximately:
12. A body of mass 5 kg moves with a velocity of 6 m/s. What is its kinetic energy?
13. The phenomenon of polarization is observed in:
14. The unit of torque is:
15. A plane mirror produces an image that is:
16. The SI unit of magnetic flux is:
17. A car accelerates from 10 m/s to 30 m/s in 5 s. What is its acceleration?
18. The potential energy of a 3 kg object at a height of 10 m (g = 10 m/s²) is:
19. The resistance of a wire is directly proportional to:
20. The time period of a simple pendulum of length 1 m (g = 10 m/s²) is:
21. The speed of light in a medium with refractive index 1.5 is:
22. The energy stored in a 10 µF capacitor charged to 100 V is:
23. The critical angle for light traveling from glass to air depends on:
24. The de Broglie wavelength is associated with:
25. The unit of power is:
26. The efficiency of a Carnot engine operating between 600 K and 400 K is:
27. The work function of a metal is 2.07 × 10⁻¹⁹ J. What is the threshold frequency?
28. The oxidation number of sulfur in H₂SO₄ is:
29. The IUPAC name of CH₃CH₂CH₂CH₂OH is:
30. The gas that behaves most like an ideal gas at room temperature is:
31. The pH of a 0.01 M HCl solution is:
32. The hybridization of carbon in CH₂=CH₂ is:
33. The rate of a chemical reaction depends on:
34. The molecular formula of glucose is:
35. The element with atomic number 17 belongs to which group?
36. The bond order of O₂ molecule is:
37. The shape of NH₃ molecule is:
38. The standard enthalpy of formation of CO₂ (g) is:
39. The catalyst used in the Haber process for ammonia production is:
40. The number of moles in 44 g of CO₂ is:
41. The functional group in ketones is:
42. The strongest oxidizing agent among the following is:
43. The high boiling point of H₂O compared to H₂S is due to:
44. The chemical formula of baking soda is:
45. The rate constant of a first-order reaction depends on:
46. The primary source of alkanes is:
47. The gas used in the manufacture of urea is:
48. The shape of PCl₅ molecule is:
49. The primary standard used in the standardization of NaOH is:
50. The electronegativity increases across a period 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 3x⁵ + 2x³ + 7 is:
54. The value of ∫(0 to 1) x² dx is:
55. The slope of the line 2x - 5y + 10 = 0 is:
56. The number of ways to arrange 5 distinct objects in a line is:
57. The roots of the equation x² - 8x + 15 = 0 are:
58. The value of log₂(8) is:
59. The sum of the first 10 terms of an arithmetic progression with first term 5 and common difference 3 is:
60. The eccentricity of the ellipse 9x² + 16y² = 144 is:
61. The value of cos(π/6) is:
62. The determinant of the matrix [[1, 2], [3, 4]] is:
63. The probability of drawing a red card from a standard deck of 52 cards 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 3 and common ratio 1/4 is:
67. The number of solutions of the equation sin(x) = 0 in the interval [0, 2π] is:
68. The value of sin²(π/6) + cos²(π/6) is:
69. The degree of the polynomial 4x⁶ + 3x⁴ - 2x + 1 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 (2, 4) 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 cot(π/4) is:
77. The rank of a 3x3 matrix with all elements equal to 1 is:
General Aptitude (20 Questions)
78. If today is Wednesday, what day will it be after 3 days?
79. Choose the word most similar in meaning to "Lucid":
80. The capital of Japan is:
81. If 5:25 :: 7:?, what is the missing number?
82. Choose the correctly spelled word:
83. The currency of India is:
84. If the sequence is 2, 5, 9, 14, ?, 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 Sunday.
89. The headquarters of WHO is located in:
90. If 3 pens cost $12, how much will 5 pens cost?
91. The synonym of "Happy" is:
92. The longest river 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 ___ mathematics.
95. The inventor of the telephone is:
96. If 2:8 :: 5:?, what is the missing number?
97. The antonym of "Fast" is:
98. The largest desert in the world is:
99. If A is coded as 1, B as 2, what is the code for X?
100. Choose the correct sentence:
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