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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. She is afraid ______ spiders.
8. He is ______ to lift the heavy box.
9. He has ______ friends in the city.
10. He works ______ in the evenings.
11. He is ______ than his friend.
12. He is taller ______ his father.
13. He is ______ his father.
14. Choose the synonym of "rapid":
15. The antonym of "import" is:
16. What does "benevolent" mean?
17. The antonym of "ignorant" is:
18. Choose the synonym of "gloomy":
19. What is the meaning of "subtle"?
20. Choose the synonym of "essential":
21. Which of the following is NOT mentioned as a benefit of reading?
22. The word "incorporate" most nearly means:
23. What is the author's tone?
24. How does exercise benefit cardiovascular health?
25. The word "essential" means:
26. Which of these is NOT mentioned as a benefit?
27. What should be reduced to prevent diseases?
28. The word "consolidates" means:
29. What does "regulate" mean?
30. Read the passage: "Friendship is one of the most valuable aspects of life. Good friends provide emotional support, reduce stress, and increase happiness. They also encourage healthy habits and help us grow as individuals. However, maintaining friendships requires time, effort, and mutual trust. The benefits of friendship far outweigh the challenges." What is the main idea?
31. What do friends provide according to the passage?
32. What is needed to maintain friendships?
33. What does "mutual" mean?
34. What does "excessive" mean?
35. What is the author's tone?
36. Read the passage: "Traveling exposes people to new cultures, cuisines, and ways of life. It broadens the mind, reduces stress, and creates lasting memories. Whether domestic or international, travel encourages personal growth and helps people appreciate diversity. Even short trips can have a positive impact on mental health." What is the main idea?
37. The word "appreciate" means:
38. What is the main purpose of the passage?
39. What does effective time management involve?
40. The word "prioritize" means:
Maths 100 MCQs
41. The equation of a line with slope 2 and y-intercept 3 is:
42. The distance of point (3,4) from the origin is:
43. The slope of the line perpendicular to y = (2/3)x + 1 is:
44. The center of the circle (x+1)² + (y-2)² = 16 is:
45. The slope of the line 2x - 5y = 10 is:
46. The area of the circle with equation x² + y² = 100 is:
47. The distance from point (3,4) to the y-axis is:
48. The slope of the line through (-2,1) and (3,6) is:
49. The expansion of (x+y)³ is:
50. The number of terms in the expansion of (x+y)⁵ is:
51. The binomial coefficient of x⁴ in (x+1)⁵ is:
52. The middle term of (x+y)⁶ is:
53. The sum of all coefficients in (1+2x)³ is:
54. The binomial coefficient C(5,2) is:
55. The sum of coefficients in (1+x)⁷ is:
56. What is the probability of drawing a red card from a deck?
57. If P(A)=0.2, P(B)=0.5, and A and B are independent, what is P(A∩B)?
58. The number of combinations of 2 items from 3 is:
59. What is the probability of drawing a spade from a deck?
60. What is the probability of drawing a face card (J,Q,K) from a deck?
61. What is the probability of drawing a red king from a deck?
62. What is the probability of getting a sum of 12 when rolling two dice?
63. What is the real part of 3-5i?
64. What is the conjugate of -2+3i?
65. What is the product of (2+3i) and (2-3i)?
66. The equation x² + 1 = 0 has roots:
67. What is the value of (3+4i) + (3-4i)?
68. The determinant of [[2,3],[1,4]] is:
69. The determinant of [[4,3],[2,1]] is:
70. If the determinant of [[x,2],[3,4]] is 2, then x is:
71. The determinant of [[2,5],[1,3]] is:
72. What is the derivative of f(x) = 5x?
73. What is the derivative of f(x) = 1/x?
74. What is the derivative of f(x) = x⋅sin x?
75. What is the derivative of f(x) = cot x?
76. What is the derivative of f(x) = 2x³ - 6x² + 5x - 3?
77. If f(x) = 2x + 3, find f(2).
78. If f(x) = x² + 2, find f(-3).
79. If f(x) = 3x - 5, solve f(x) = 10.
80. If f(x) = 4x, what is f(0)?
81. Which of the following is a polynomial function?
82. The degree of f(x) = 3x⁴ - 5x² + 2 is:
83. If f(x) = |x|, find f(-5).
84. The graph of f(x) = |x| is:
85. If f(x) = x and g(x) = x², find (f∘g)(2).
86. What is the integral of x² dx?
87. What is ∫ (3x² + 2x) dx?
88. What is ∫ sec² x dx?
89. What is ∫ (3) dx from 0 to 2?
90. In mathematical induction, the inductive hypothesis assumes the statement is true for:
91. For the sum of first n natural numbers, the base case is n = 1. LHS = 1, RHS = 1(2)/2 = 1. The inductive hypothesis assumes:
92. The sum 1+2+4+...+2^{n-1} equals:
93. The product 1·2·3·...·n is called:
94. For the sequence a_n = n², the difference a_{n+1} - a_n is:
95. In induction, the variable n is assumed to be a:
96. The determinant of [[a,b],[c,d]] is:
97. A skew-symmetric matrix satisfies:
98. The trace of a matrix is the sum of:
99. The inverse of a matrix exists only if the matrix is:
100. If A is a 3×3 matrix and det(A)=2, then det(2A)=?
101. The decimal expansion of 1/7 is:
102. Which of the following is a real number?
103. Which of the following is a transcendental number?
104. What is the binary equivalent of decimal 10?
105. What is the value of log₂ 32?
106. The number of permutations of 4 distinct objects is:
107. The number of ways to arrange 3 objects out of 5 is:
108. The number of ways to arrange 5 people in a circle is:
109. The number of ways to arrange 7 different books on a shelf is:
110. The number of ways to arrange 4 different colors in a row is:
111. In how many ways can 3 prizes be distributed among 5 students if each student can get at most one prize?
112. What is the discriminant of x² - 4x + 4 = 0?
113. The roots are real and distinct if discriminant is:
114. Find the roots of x² + 4x + 3 = 0
115. Find k for which x² + kx + 4 = 0 has equal roots.
116. The sum of squares of roots of x² - 3x + 2 = 0 is:
117. If roots are -1 and 4, the quadratic is:
118. The discriminant of x² + 4x + 4 = 0 is:
119. What is the sum of first 5 terms of 2,4,6,8,10?
120. What is the common ratio in 3,6,12,24?
121. What is the next term in 3,6,12,24?
122. Find the 15th term of 5,10,15,20,...?
123. What is the next term: 1,8,27,64?
124. Sum of odd numbers from 1 to 99 is:
125. Mean of first 5 natural numbers is:
126. What is the value of tan 45°?
127. What is the value of sin 30°?
128. What is the value of cos 60°?
129. What is the value of tan 0°?
130. What is the value of cos 45°?
131. What is the value of sin 360°?
132. What is the amplitude of y = 3 sin x?
133. What is the value of sin(π/3)?
134. A vector quantity has both:
135. The direction (angle) of vector (3,4) with x-axis is:
136. If A = 2i+3j and B = i-j, find A-B.
137. What is the scalar product of i and i?
138. What is the vector product of j and i?
139. What is the angle between (1,0) and (0,1)?
140. What is the resultant of A=(2,1) and B=(1,3)?
Physics 60 MCQs
141. The SI unit of electric power is:
142. A 100 W bulb consumes energy in 10 hours equal to:
143. The internal resistance of a cell is due to:
144. When a cell is short-circuited, the current is:
145. The temperature coefficient of resistance is positive for:
146. The temperature coefficient of resistance is negative for:
147. The SI unit of electric field is:
148. If the area of plates of a capacitor is doubled, capacitance becomes:
149. The resistivity of a conductor depends on:
150. The acceleration of an object is directly proportional to:
151. The centripetal acceleration is:
152. The torque on a coil is given by:
153. The principle of a moving coil galvanometer is:
154. The Biot-Savart law gives the magnetic field due to a:
155. The magnetic susceptibility χ is defined as:
156. The Curie temperature is the temperature above which a ferromagnetic material becomes:
157. The force between two point charges is given by:
158. The SI unit of electric potential is:
159. Electric flux is the measure of:
160. An equipotential surface is a surface on which:
161. The electric potential energy of two charges q1 and q2 separated by r is:
162. The electric potential inside a conductor is:
163. Speed is a:
164. A car accelerates from 0 to 20 m/s in 5 s. Its acceleration is:
165. A ball is thrown vertically upward with speed 30 m/s. The time of flight is (g=10 m/s²):
166. The displacement of a body moving with uniform acceleration is proportional to:
167. The maximum height reached by the stone in the previous question is:
168. The SI unit of length is:
169. The resultant of two equal vectors of magnitude F at 120° has magnitude:
170. The magnitude of a vector with components A_x and A_y is:
171. Which instrument is used to measure length accurately up to 0.01 mm?
172. Which of the following is a base SI unit?
173. When multiplying measurements, the result should have the same number of significant figures as:
174. If a vector is multiplied by a positive scalar, its direction:
175. Angular momentum L is given by:
176. A figure skater pulling arms in causes:
177. The period of uniform circular motion is:
178. The photoelectric effect was explained by:
179. Length contraction occurs along the direction of:
180. The quantum of electromagnetic radiation is called:
181. The momentum of a photon is:
182. According to Planck, the energy of an oscillator is:
183. General relativity deals with:
184. The rest mass of a photon is:
185. In the photoelectric effect, the stopping potential depends on:
186. In Compton scattering, the scattered photon has:
187. The de Broglie wavelength of a macroscopic object is:
188. The element with atomic number 17 (chlorine) has electron configuration:
189. The lens formula is:
190. The magnification produced by a lens is:
191. In a concave lens, the image is always:
192. Hyperopia (farsightedness) is corrected by:
193. The efficiency of a heat engine operating between T_hot and T_cold is:
194. The diffusion rate of gases is inversely proportional to:
195. The van der Waals equation is:
196. The boiling point of a liquid increases with:
197. A 5 kg body moves with speed 4 m/s. Its kinetic energy is:
198. If a force does 50 J of work on an object, the object gains at least 50 J of:
199. A force of 10 N moves an object 2 m at 120° to displacement. Work done is:
200. A spring of k=100 N/m stretched by 0.05 m. Work done by external agent is: