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English 40 MCQs
1. Choose the correct sentence:
2. Choose the correct sentence:
3. Choose the correct sentence:
4. Choose the correct sentence:
5. Choose the correct sentence:
6. Choose the correct sentence:
7. Choose the correct sentence:
8. She is ______ than her sister.
9. They ______ playing football now.
10. I am tired ______ waiting for him.
11. She is ______ than her brother.
12. He is the man ______ stole my wallet.
13. I have never ______ such a beautiful sunset.
14. She is very ______ in music.
15. She is ______ a child.
16. He is taller ______ his father.
17. She doesn't like ______ coffee.
18. What is the meaning of "prohibit"?
19. Choose the synonym of "admire":
20. The word "incorrect" means:
21. The antonym of "complex" is:
22. Choose the synonym of "loyal":
23. The antonym of "victory" is:
24. What does "exaggerate" mean?
25. The word "access" means:
26. What is the author's attitude towards education?
27. What is the overall message?
28. The word "mindfully" means:
29. How much sleep is recommended for adults?
30. What is the tone of the passage?
31. The word "encourage" means:
32. What is the author's attitude towards friendship?
33. Which of the following is NOT a benefit mentioned?
34. What does "maintaining" mean?
35. What is a positive aspect of social media?
36. Which of the following is NOT mentioned as a negative effect?
37. What is the key to mental well-being according to the passage?
38. Which of the following is NOT mentioned as a benefit?
39. Which of the following is NOT mentioned as a benefit?
40. Overall, the passage suggests that time management:
Maths 100 MCQs
41. The x-intercept of the line y = 4x - 8 is:
42. The radius of (x+1)² + (y-2)² = 16 is:
43. The slope of the line 2x - 5y = 10 is:
44. The distance from point (3,4) to the y-axis is:
45. The coefficient of x² in (x+2)³ is:
46. The coefficient of x² in (x-1)⁴ is:
47. The expansion of (a+b)⁰ is:
48. The binomial expansion of (1+x)⁴ is:
49. The sum of all coefficients in (1+2x)³ is:
50. The 4th term of (a+b)⁵ is:
51. The 5th term of (x+y)⁷ is:
52. The binomial coefficient C(7,4) is:
53. What is the probability of rolling a 3 on a fair die?
54. What is the probability of drawing a red card from a deck?
55. What is the probability of drawing an ace from a deck of cards?
56. The number of combinations of 2 items from 3 is:
57. What is the probability of getting a sum of 3 when rolling two dice?
58. The sum of (2+3i) and (4+5i) is:
59. A complex number has the form:
60. What is the modulus of 5-12i?
61. What is the conjugate of 5-12i?
62. What is the value of i?
63. The sum of a complex number and its conjugate is:
64. The difference of a complex number and its conjugate is:
65. The equation x² + 4 = 0 has roots:
66. The determinant of a 2x2 matrix [[a,b],[c,d]] is:
67. The determinant of [[2,3],[1,4]] is:
68. The determinant of [[1,0,0],[0,1,0],[0,0,1]] is:
69. If a matrix has a row of zeros, its determinant is:
70. The determinant of [[3,1],[2,2]] is:
71. The determinant of [[1,3],[2,6]] is:
72. The determinant of [[-1,2],[3,-4]] is:
73. What is the derivative of f(x) = x³?
74. What is the derivative of f(x) = 1/x?
75. What is the derivative of f(x) = sin x?
76. What is the derivative of f(x) = tan x?
77. What is the derivative of f(x) = (2x+1)^3?
78. What is the derivative of f(x) = x⋅sin x?
79. What is the derivative of f(x) = x³ - 3x² + 2x at x=2?
80. What is the derivative of f(x) = e^(2x)?
81. What is the derivative of f(x) = 0.5x²?
82. What is the derivative of f(x) = 1/(x²)?
83. What is the derivative of f(x) = tan(2x)?
84. Which of the following is a function?
85. The domain of f(x) = √x is:
86. Which of the following is a polynomial function?
87. Find the domain of f(x) = √(x-3).
88. The function f(x) = ln x is the inverse of:
89. If f(x) = x + 1 and g(x) = 2x, find f(g(2)).
90. What is ∫ 1/x dx?
91. What is ∫ e^(2x) dx?
92. What is ∫ (x² + 2x) dx from 0 to 2?
93. What is ∫ cos(3x) dx?
94. Evaluate ∫₀^π cos x dx.
95. What is ∫ (4x³ - 2x) dx?
96. The sum of first n natural numbers is:
97. Using induction, to prove 1²+2²+...+n² = n(n+1)(2n+1)/6, the inductive step adds:
98. The principle of mathematical induction is equivalent to:
99. The product 1·2·3·...·n is called:
100. Induction is a method used to prove statements about:
101. A matrix with the same number of rows and columns is called:
102. The order of a matrix with 3 rows and 2 columns is:
103. The sum of two matrices of order 2×3 is possible because:
104. The product of a 2×3 and a 3×2 matrix is a matrix of order:
105. The transpose of a matrix is obtained by:
106. If A is a 2×2 matrix, the inverse of A exists if:
107. A skew-symmetric matrix satisfies:
108. The zero matrix has all entries:
109. If A is a 3×3 matrix, then det(2A) = ?
110. If A is a matrix, then (A^T)^T = ?
111. The sum of the diagonal elements of a matrix is the:
112. Which of the following is an integer?
113. Which of the following is a rational number?
114. What is the value of i⁴?
115. The set of real numbers is denoted by:
116. What is the value of log₅ 25?
117. The number of permutations of n distinct objects is:
118. The number of ways to arrange 3 books on a shelf is:
119. The number of ways to arrange 6 people in a row is:
120. The number of ways to arrange 5 books on a shelf if 2 specific books must be together is:
121. The number of ways to arrange 3 objects out of 5 is:
122. The number of permutations of n objects taken r at a time is:
123. The number of permutations of 3 items from 6 is:
124. How many ways can 5 people sit in a row if 2 specific people must sit together?
125. Using the formula, solve x² - 2x - 3 = 0
126. The equation x² + 2x + 5 = 0 has roots that are:
127. The equation x² - 2x + 1 = 0 can be written as:
128. The equation x² - 10x + 25 = 0 has root:
129. The sum of reciprocals of roots of x² - 5x + 6 = 0 is:
130. What is the common difference of 5,11,17,23?
131. Sum of 1+3+5+... up to 10 terms is:
132. What is the value of sin 90°?
133. What is the value of tan 30°?
134. What is the value of sin 360°?
135. Which identity is true for all θ?
136. What is the value of sin(π/3)?
137. If A=(5,2) and B=(3,1), what is A-B?
138. What is the dot product of A=(1,2) and B=(3,4)?
139. What is the vector product of j and i?
140. What is the angle between (1,1) and (1,0)?
Physics 60 MCQs
141. In a parallel circuit, the voltage is:
142. A 100 W bulb consumes energy in 10 hours equal to:
143. Unlike charges:
144. Electric field lines originate from:
145. If the distance between plates of a capacitor is doubled, capacitance becomes:
146. Newton's second law states that force is equal to:
147. Friction is a force that:
148. Work is defined as:
149. The SI unit of work is:
150. Power is defined as:
151. The moment of inertia is the rotational analog of:
152. The angular acceleration α is:
153. The SI unit of magnetic field (flux density) is:
154. The force per unit length between two parallel wires separated by distance d carrying currents I₁ and I₂ is:
155. The torque on a coil is given by:
156. A galvanometer is an instrument used to detect:
157. The angle between the Earth's magnetic field and the horizontal is called:
158. The SI unit of magnetic pole strength is:
159. The magnetic dipole moment of a bar magnet is defined as:
160. The capacitance of a parallel-plate capacitor is given by:
161. If the area of plates of a capacitor is doubled, its capacitance becomes:
162. A capacitor of capacitance C is charged to potential V. The charge on it is:
163. Electric flux is the measure of:
164. The electric field due to a uniformly charged infinite plane sheet is:
165. The electric field inside a uniformly charged spherical shell is:
166. The electric potential at infinity is taken as:
167. Speed is a:
168. If an object moves with constant velocity, its acceleration is:
169. The third equation of motion is:
170. A stone is thrown upward with initial velocity 20 m/s. The time to reach maximum height is (g=10 m/s²):
171. The maximum height reached by the stone in the previous question is:
172. A particle moves with uniform velocity. Its acceleration is:
173. In projectile motion, the vertical component of velocity at the highest point is:
174. A bullet is fired horizontally from a height of 20 m with a speed of 100 m/s. The time to hit the ground is (g=10):
175. Which of the following is a derived SI unit?
176. The volume of a parallelepiped formed by vectors A, B, C is:
177. If the line of action of a force passes through the pivot, the torque is:
178. Centripetal acceleration is:
179. The period of uniform circular motion is:
180. The formula for length contraction is:
181. The rest energy of 1 kg mass is approximately:
182. Black body radiation was explained by:
183. The Bohr radius (first orbit) is approximately:
184. The electron configuration of nitrogen (Z=7) is:
185. An electron microscope uses the wave nature of electrons to achieve:
186. The refractive index of a medium is the ratio of:
187. When light travels from air to glass, its speed:
188. The superposition of two coherent waves produces:
189. Destructive interference occurs when path difference is:
190. In a convex lens, when object is at infinity, the image is at:
191. A compound microscope consists of:
192. In an isothermal process, temperature is:
193. The work done by a gas in an isobaric process is:
194. The average kinetic energy of gas molecules is proportional to:
195. A real gas deviates from ideal behaviour at:
196. If force and displacement are in the same direction, work done is:
197. If force is perpendicular to displacement, work done is:
198. If speed is doubled, kinetic energy becomes:
199. At the lowest point of a pendulum swing, kinetic energy is maximum and potential energy is:
200. A 3 kg block slides 2 m with friction force 5 N. Work done by friction is: