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MCQOPTIONS
This section includes 782 Mcqs, each offering curated multiple-choice questions to sharpen your Aptitude knowledge and support exam preparation. Choose a topic below to get started.
| 101. |
If (x 3)2 + (y 5)2 + (z 4)2 = 0, then the value ofx2 + y2 + z2 is :92516 |
| A. | 12 |
| B. | 9 |
| C. | 3 |
| D. | 1 |
| Answer» D. 1 | |
| 102. |
If a3b = abc = 180, a, b, c are positive integers, then the value of c is |
| A. | 110 |
| B. | 1 |
| C. | 4 |
| D. | 25 |
| Answer» C. 4 | |
| 103. |
Let a = 6 5 , b = 5 2, c = 2 3Then point out the correct alternative among the four alternatives given below. |
| A. | b < a < c |
| B. | a < c < b |
| C. | b < c < a |
| D. | a < b < c |
| Answer» E. | |
| 104. |
For a > b, if a + b = 5 and ab = 6, then the value of (a2 b2) is |
| A. | 1 |
| B. | 3 |
| C. | 5 |
| D. | 7 |
| Answer» D. 7 | |
| 105. |
If a2 + b2 = 2 and c2 + d2 = 1, then the value of (ad bc)2 + (ac + bd)2 is |
| A. | 1 |
| B. | 2 |
| Answer» E. | |
| 106. |
If x2 = y + z, y2 = z + x, z2 = x + y, then the value of 1 + 1 + 1 is;x + 1x + 1z + 1 |
| A. | 1 |
| B. | 1 |
| C. | 2 |
| D. | 4 |
| Answer» C. 2 | |
| 107. |
If a1/3 =11, then the value of a2 331a is |
| A. | 1331331 |
| B. | 1331000 |
| C. | 1334331 |
| D. | 1330030 |
| Answer» C. 1334331 | |
| 108. |
If x = 3 5 , then the value of x2 16x + 6 is |
| A. | 0 |
| B. | 2 |
| C. | 2 |
| D. | 4 |
| Answer» D. 4 | |
| 109. |
If a = 0.1039, then the value of 4a2 4a + 1 + 3a is |
| A. | 0.1039 |
| B. | 0.2078 |
| C. | 1.1039 |
| D. | 2.1039 |
| Answer» D. 2.1039 | |
| 110. |
If a + b + c = 9 (where a, b, c are real numbers), then the minimum value of a2 + b2 + c2 is |
| A. | 100 |
| B. | 9 |
| C. | 27 |
| D. | 81 |
| Answer» D. 81 | |
| 111. |
If a2 + b2 + c2 = ab + bc + ca, where a, b, c are non zero real numbers, then the value of a + b is c |
| A. | 2 |
| B. | 1 |
| C. | 0 |
| D. | 1 |
| Answer» B. 1 | |
| 112. |
If a = x + y, b = x y, c = x + 2y, then a2 + b2 + c2 ab bc ca is |
| A. | 4y |
| B. | 5y |
| C. | 6y |
| D. | 7y |
| Answer» E. | |
| 113. |
If x y = 2, xy = 24, then the value of (x2 + y2) is : |
| A. | 25 |
| B. | 36 |
| C. | 63 |
| D. | 52 |
| Answer» E. | |
| 114. |
If x 0, y 0 and z 0 and1 + 1 + 1 + 1 + 1 + 1 + 1,x2y2z216xyyzzx then the relation among x, y, z is |
| A. | x + y + z = 0 |
| B. | x + y = z |
| C. | x = y = z |
| Answer» E. | |
| 115. |
If a2 + b2 + 4c2 = 2 (a + b 2c) 3 and a, b, c are real, then the value of (a2 + b2 + c2) is |
| A. | 3 |
| B. | 2 |
| Answer» E. | |
| 116. |
The expression x4 2x2 + k will be a perfect square if the value of k is |
| A. | 1 |
| B. | 0 |
| Answer» B. 0 | |
| 117. |
The term to be added to 121a2 +64b to make a perfect square is |
| A. | 176 ab |
| B. | 276 a |
| C. | 178 ab |
| D. | 188 b |
| E. | a |
| Answer» B. 276 a | |
| 118. |
If x = b + c 2a, y = c + a 2b, z = a + b 2c, then the value of x2 + y2 z2 + 2xy is |
| A. | 0 |
| B. | a + b + c |
| C. | a b + c |
| D. | a + b c |
| Answer» B. a + b + c | |
| 119. |
If x2 + y2 4x 4y + 8 = 0, then the value of x y is |
| A. | 4 |
| B. | 4 |
| C. | 0 |
| D. | 8 |
| Answer» D. 8 | |
| 120. |
If x y = 2 and x2 + y2 = 20, then value of (x + y)2 is |
| A. | 38 |
| B. | 36 |
| C. | 16 |
| D. | 12 |
| Answer» C. 16 | |
| 121. |
If a = 23 and b = 29 then the value of 25a2 + 40ab + 16b2 is : |
| A. | 1 |
| B. | 1 |
| C. | 0 |
| D. | 2 |
| Answer» B. 1 | |
| 122. |
If a2 + b2 + c2 + 3 = 2 (a + b + c) then the value of (a + b + c) is |
| A. | 2 |
| B. | 3 |
| C. | 4 |
| D. | 5 |
| Answer» C. 4 | |
| 123. |
If x2 y2 = 80 and x y = 8, then the average of x and y is |
| A. | 2 |
| B. | 3 |
| C. | 4 |
| D. | 5 |
| Answer» E. | |
| 124. |
The value of (xb + c)b c (xc + a)c a (xa + b)a b (x 0) is |
| A. | 1 |
| B. | 2 |
| C. | 1 |
| D. | 0 |
| Answer» B. 2 | |
| 125. |
If (a 1)2 + (b + 2)2 + (c + 1)2 = 0, then the value of 2a 3b + 7c is |
| A. | 12 |
| B. | 3 |
| C. | 11 |
| D. | 1 |
| Answer» E. | |
| 126. |
If x, y and z are real numbers such that (x 3)2 + (y 4)2 + (z 5)2 = 0 then (x + y + z) is equal to |
| A. | 12 |
| B. | 0 |
| C. | 8 |
| D. | 12 |
| Answer» E. | |
| 127. |
If 2x + 3 = 32, then the value of 3x+1 is equal to |
| A. | 27 |
| B. | 81 |
| C. | 72 |
| D. | 9 |
| Answer» B. 81 | |
| 128. |
The expression x4 2x2 + k will be a perfect square when the value of k is |
| A. | 2 |
| B. | 1 |
| C. | 1 |
| D. | 2 |
| Answer» C. 1 | |
| 129. |
If 0.04 0.4 a = 0.004 0.4 b, value of a is b |
| A. | 16 10 |
| B. | 16 10 |
| C. | 16 10 |
| D. | 16 10 |
| Answer» D. 16 10 | |
| 130. |
If 9 x = 12 + 147 , then x = ? |
| A. | 2 |
| B. | 3 |
| C. | 4 |
| D. | 5 |
| Answer» C. 4 | |
| 131. |
If x * y = (x + 3)2 (y 1), then the value of 5 * 4 is |
| A. | 192 |
| B. | 182 |
| C. | 180 |
| D. | 172 |
| Answer» B. 182 | |
| 132. |
If a * b = ab , then the value of 5 * 3 is |
| A. | 125 |
| B. | 243 |
| C. | 53 |
| D. | 15 |
| Answer» B. 243 | |
| 133. |
If ( 5)7 ÷ ( 5)5 = 5p, then the value of p is |
| A. | 5 |
| B. | 2 |
| C. | 1 |
| Answer» E. | |
| 134. |
If 2x = 256 , then the value of x is |
| A. | 14 |
| B. | 16 |
| C. | 18 |
| D. | 20 |
| Answer» C. 18 | |
| 135. |
If 47.2506 = 4A + 7 + 2C + 5 + 6E , BD then the value of 5A + 3B + 6C + D + 3E is |
| A. | 53.6003 |
| B. | 53.603 |
| C. | 153.6003 |
| D. | 213.0003 |
| Answer» D. 213.0003 | |
| 136. |
If x * y = x2 + y2 xy, then the value of 9 * 11 is |
| A. | 93 |
| B. | 103 |
| C. | 113 |
| D. | 121 |
| Answer» C. 113 | |
| 137. |
Given that 100.48 = x, 100.70 = y, and xz = y2 , then the value of z is close to |
| A. | 1.45 |
| B. | 1.88 |
| C. | 2.9 |
| D. | 3.7 |
| Answer» D. 3.7 | |
| 138. |
If 1 < x < 2, then the value of (x 1)2 + (x 3)2 is |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 2x 4 |
| Answer» C. 3 | |
| 139. |
If x = 0.5 and y = 0.2, then value of 0.6 (3y)x is equal to |
| A. | 1.0 |
| B. | 0.5 |
| C. | 0.6 |
| D. | 1.1 |
| Answer» D. 1.1 | |
| 140. |
If 0.13 p2 = 13, then p is equal to |
| A. | 10 |
| B. | 0.01 |
| C. | 0.1 |
| D. | 100 |
| Answer» D. 100 | |
| 141. |
If a = 7, b = 5 and c = 3, then the value of a2 + b2 + c2 ab bc ca is |
| A. | 12 |
| B. | 12 |
| C. | 0 |
| D. | 8 |
| Answer» B. 12 | |
| 142. |
If 5 x + 12 x = 13 x , then x is equal to |
| A. | 4 |
| B. | 9 |
| C. | 16 |
| Answer» C. 16 | |
| 143. |
If x is real, then the minimum value of (x2 x + 1) is |
| A. | 0 |
| B. | 1 |
| Answer» B. 1 | |
| 144. |
If a and b be positive integers such that a2 b2= 19, then the value of a is |
| A. | 19 |
| B. | 20 |
| C. | 9 |
| D. | 10 |
| Answer» E. | |
| 145. |
Two numbers x and y (x > y) are such that their sum is equal to three times their difference.Then value of 3xy will be:2(x2 y2) |
| A. | 1 |
| Answer» C. | |
| 146. |
If 3x + 3 + 7 = 250, then x is equal to |
| A. | 5 |
| B. | 3 |
| C. | 2 |
| D. | 1 |
| Answer» D. 1 | |
| 147. |
If p(x + y)2 = 5 and q(x - y)2 = 3 , then the simplified value of p2 (x + y)2 + 4pq xy q2 (x - y)2 is : |
| A. | (p + q) |
| B. | 2 (p + q) |
| C. | p + q |
| D. | 2 (p + q) |
| Answer» C. p + q | |
| 148. |
If x = 7 + 3 then the vlaue of x3 - 9x2 + 27x - 34 is : |
| A. | 0 |
| B. | 1 |
| C. | 2 |
| D. | 1 |
| Answer» B. 1 | |
| 149. |
If a, b, c and d satisfy the equationsa + 7b + 3c + 5d = 0,8a + 4b + 6c + 2d = 42a + 6b + 4c + 8d = 4,5a + 3b + 7c + d = 4,then (a + d) = ? (b + c) |
| A. | 0 |
| B. | 1 |
| C. | 1 |
| D. | 4 |
| Answer» D. 4 | |
| 150. |
If a2 + a + 1 = 0, then the value of a9 is |
| A. | 2 |
| B. | 3 |
| C. | 1 |
| D. | 0 |
| Answer» D. 0 | |