MCQOPTIONS
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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.
| 151. |
If x + y = 15, then (x 10)3 + (y 5)3 is |
| A. | 25 |
| B. | 125 |
| C. | 625 |
| D. | 0 |
| Answer» E. | |
| 152. |
If a, b, c be all positive integers, then the least positive value of a3 + b3 + c3 3abc is |
| A. | 1 |
| B. | 2 |
| C. | 4 |
| D. | 3 |
| Answer» D. 3 | |
| 153. |
Find the value of (x + y + z)(x + y - 3z) ÷ xy z when x = + 1, y = 3, z = 1. |
| A. | 1 |
| B. | 0 |
| C. | 1 |
| Answer» D. | |
| 154. |
If x = k3 3k2 and y = 1 3k then for what value of k, will be x = y ? |
| A. | 0 |
| B. | 1 |
| C. | 1 |
| D. | 2 |
| Answer» C. 1 | |
| 155. |
The factors of (a2 + 4b2 + 4b 4ab 2a 8) are |
| A. | (a 2b 4) (a 2b + 2) |
| B. | (a b + 2) (a 4b 4) |
| C. | (a + 2b 4) (a + 2b + 2) |
| D. | (a + 2b 1) (a 2b + 1) |
| Answer» B. (a b + 2) (a 4b 4) | |
| 156. |
If x (x 3) = 1, then the value of x3(x3 - 18) is |
| A. | 1 |
| B. | 2 |
| C. | 1 |
| D. | 0 |
| Answer» B. 2 | |
| 157. |
If 3( a2 + b2 + c2 ) = (a + b + c)2 , then the relation between a, b and c is |
| A. | a = b = c |
| B. | a = b c |
| C. | a < b < c |
| D. | a > b > c |
| Answer» B. a = b c | |
| 158. |
If x2 + y2 + 1 = 2x , then the value of x3 + y5 is |
| A. | 2 |
| B. | 0 |
| C. | 1 |
| D. | 1 |
| Answer» E. | |
| 159. |
If a = 2.234, b = 3.121 and c = 5.355, then the value of a3 + b3 + c3 - 3abc is |
| A. | 1 |
| B. | 0 |
| C. | 1 |
| D. | 2 |
| Answer» C. 1 | |
| 160. |
If x = 11, then the value of x5 12x4 + 12x3 12x2 + 12x 1 is |
| A. | 5 |
| B. | 10 |
| C. | 15 |
| D. | 20 |
| Answer» C. 15 | |
| 161. |
If p = 99, then the value of p(p2 + 3p + 3) is |
| A. | 10000000 |
| B. | 999000 |
| C. | 999999 |
| D. | 990000 |
| Answer» D. 990000 | |
| 162. |
If x = 997, y = 998 and z = 999, then the value of x2 + y2 + z2 xy yz zx is |
| A. | 0 |
| B. | 1 |
| C. | 1 |
| D. | 3 |
| Answer» E. | |
| 163. |
If a = 4.965, b = 2.343 and c = 2.622, then the value of a3 - b3 - c3 - 3abc is |
| A. | 2 |
| B. | 1 |
| C. | 0 |
| D. | 9.93 |
| Answer» D. 9.93 | |
| 164. |
If a = 331, b = 336 and c = 667, then the value of a3 + b3 + c3 - 3abc is |
| A. | 1 |
| B. | 6 |
| C. | 3 |
| D. | 0 |
| Answer» E. | |
| 165. |
If a + b = c , then the simplest value of (a + b c)3 + 27abc is |
| A. | 1 |
| B. | 3 |
| C. | 3 |
| D. | 0 |
| Answer» E. | |
| 166. |
If m + n = 2, then the value of m3 + n3 - 6mn is |
| A. | 8 |
| B. | 4 |
| C. | 8 |
| D. | 4 |
| Answer» D. 4 | |
| 167. |
138. If a2 + b2 + c2 ab bc ca = 0, then |
| A. | a = b = c |
| B. | a b = c |
| C. | a = b c |
| D. | |
| E. | a b c |
| Answer» B. a b = c | |
| 168. |
If m = 4, n = 2, then the value of m3 - 3m2 + 3m + 3n + 3n2 + n3 is |
| A. | 126 |
| B. | 124 |
| C. | 124 |
| D. | 126 |
| Answer» B. 124 | |
| 169. |
If x = 332, y = 333, z = 335, then the value of x3 + y3 + z3 3xyz is |
| A. | 10000 |
| B. | 7000 |
| C. | 8000 |
| D. | 9000 |
| Answer» C. 8000 | |
| 170. |
If x + y + z = 6, then the value of (x - 1)3 + (y - 2)3 + (z - 3)3 is |
| A. | 3 (x 1 ) (y 2 ) (z 3 ) |
| B. | 3xyz |
| C. | (x 1 ) (y 2 ) (z 3 ) |
| D. | 2 (x 1 ) (y 2 ) (z 3 ) |
| Answer» B. 3xyz | |
| 171. |
If x = 2 then the value of x3 + 27x2 + 243x + 631 is |
| A. | 1233 |
| B. | 1211 |
| C. | 1231 |
| D. | 1321 |
| Answer» B. 1211 | |
| 172. |
Given that x3 + y3 = 72 and xy = 6 with x > y. Then the value of (x y) is |
| A. | 4 |
| B. | 4 |
| C. | 2 |
| D. | 2 |
| Answer» D. 2 | |
| 173. |
168. If a + b = 1, find the value of a3 b3 - ab (a2 - b2)2 |
| A. | 1 |
| B. | 1 |
| C. | 0 |
| D. | 2 |
| Answer» D. 2 | |
| 174. |
If a - 1 = 5 , then the value of (a - 3)3 - 1 is(a - 3)(a - 3)3 |
| A. | 5 |
| B. | 7 |
| C. | 2 |
| D. | 14 |
| Answer» E. | |
| 175. |
If a2 + a + 1 = 0 , then the value of a5 + a4 + 1 is : |
| A. | a |
| B. | 1 |
| C. | 0 |
| D. | a + 1 |
| Answer» D. a + 1 | |
| 176. |
If x + y + z = 6 and xy + yz + zx = 10 then the value of x3 + y3 + z3 3xyz is : |
| A. | 36 |
| B. | 48 |
| C. | 42 |
| D. | 40 |
| Answer» B. 48 | |
| 177. |
If p3 - q3 = (p q){(p q)2 xpq} then find the value of x |
| A. | 3 |
| B. | 3 |
| C. | 1 |
| D. | 1 |
| Answer» C. 1 | |
| 178. |
If x 3 2 = 0 and y 3 + 2 = 0, then the value (x3 - 20 2) - (y3 + 20 2) is |
| A. | 0 |
| B. | 1 |
| C. | 3 |
| D. | 2 |
| Answer» B. 1 | |
| 179. |
If x = a1 / 3 + a-1 / 3 , y = a1 / 2 - a-1 / 2 then value of (x4 - x2y2 1) + (y4 - x2y2 + 1) is |
| A. | 16 |
| B. | 13 |
| C. | 12 |
| D. | 14 |
| Answer» B. 13 | |
| 180. |
If x = x2 + 11 - 2 , then the value of (x3 + 5x2 + 12x) is |
| A. | 0 |
| B. | 3 |
| C. | 7 |
| D. | 11 |
| Answer» C. 7 | |
| 181. |
If a3 = 117 + b3 and a = 3 + b,then the value of (a + b) is : |
| A. | 7 |
| B. | 49 |
| C. | 13 |
| D. | 0 |
| Answer» B. 49 | |
| 182. |
If x2 + y2 + 2x + 1 = 0, then the value of x31 + y35 is |
| A. | 1 |
| B. | 0 |
| C. | 1 |
| D. | 2 |
| Answer» B. 0 | |
| 183. |
If (x 4)(x2 + 4x + 42) = x3 - p, then p is equal to |
| A. | 27 |
| B. | 8 |
| C. | 64 |
| D. | 0 |
| Answer» D. 0 | |
| 184. |
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. | |
| 185. |
If x4 + 2x3 + ax2 + bx + 9 is a perfect square, where a and b are positive real numbers, then the values of a and b are |
| A. | a = 5, b = 6 |
| B. | a = 6, b = 7 |
| C. | a = 7, b = 6 |
| D. | a = 7, b = 8 |
| Answer» D. a = 7, b = 8 | |
| 186. |
If a + b c = 0 then the value of 2b2c2 + 2c2a2 + 2a2b2 a4 b4 c4 |
| A. | 7 |
| B. | 0 |
| C. | 14 |
| D. | 28 |
| Answer» C. 14 | |
| 187. |
If x2 + y2 + z2 = 2 (x + z 1), then the value of : x3 + y3 + z3 = ? |
| A. | 2 |
| B. | 0 |
| C. | 1 |
| D. | 1 |
| Answer» B. 0 | |
| 188. |
If x + 1 = 2, then x2013 + 1 = ? xx2014 |
| A. | 0 |
| B. | 1 |
| C. | 1 |
| D. | 2 |
| Answer» E. | |
| 189. |
If p + m = 6 and p3 + m3 = 72, then the value of pm is |
| A. | 6 |
| B. | 12 |
| C. | 9 |
| D. | 8 |
| Answer» E. | |
| 190. |
If x = 5, y = 6 and z = 11, then the value of x3 + y3 + z3 is |
| A. | 890 |
| B. | 970 |
| C. | 870 |
| D. | 990 |
| Answer» E. | |
| 191. |
If a + 1 = 3 ,then the valueof a18 + a12 + a6 + 1 isa |
| A. | 0 |
| B. | 1 |
| C. | 1 |
| D. | 4 |
| Answer» B. 1 | |
| 192. |
If x = 2015, y = 2014 and z = 2013, then value of x2 + y2 + z2 xy yz zx is |
| A. | 3 |
| B. | 4 |
| C. | 6 |
| D. | 2 |
| Answer» B. 4 | |
| 193. |
If p3 + 3p2 + 3p = 7, then the value of p2 + 2p is |
| A. | 4 |
| B. | 3 |
| C. | 5 |
| D. | 6 |
| Answer» C. 5 | |
| 194. |
When f(x) = 12x3 13x2 5x + 7 is divided by (3x + 2), then the remainder is |
| A. | 2 |
| B. | 0 |
| C. | 1 |
| D. | 1 |
| Answer» E. | |
| 195. |
If p + q + r = 1 and a + b + c = 0 abcpqrwhere p, q, r and a, b, c are non-zero, then the value of p2 + q2 + r2 isa2b2c2 |
| A. | 1 |
| B. | 0 |
| C. | 1 |
| D. | 2 |
| Answer» D. 2 | |
| 196. |
If p = 124, p( p + 3p + 3 ) + 1 is |
| A. | 5 |
| B. | 7 |
| C. | 123 |
| D. | 125 |
| Answer» E. | |
| 197. |
If p = 101, then the value of p( p - 3p + 3 ) - 1 is |
| A. | 100 |
| B. | 101 |
| C. | 102 |
| D. | 1000 |
| Answer» B. 101 | |
| 198. |
If x = 3 + 2 , then the value of x3 - 1 is :x3 |
| A. | 14 |
| B. | 14 |
| C. | 22 |
| D. | |
| E. | 10 |
| Answer» D. | |
| 199. |
If x + y + z = 6, then the value of (x 1)3 + (y 2)3 + (z 3)3 is |
| A. | 3 (x 1) (y + 2) (z 3) |
| B. | 3 (x + 1) (y 2) (z 3) |
| C. | 3 (x 1) (y 2) (z + 3) |
| D. | 3 (x 1) (y 2) (z 3) |
| Answer» E. | |
| 200. |
If P = 999, then the value of P( P + 3P + 3 ) + 1 is |
| A. | 1000 |
| B. | 999 |
| C. | 998 |
| D. | 1002 |
| Answer» B. 999 | |