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.
| 51. |
If a2 = by + cz, b2 = cz + ax, c2 = ax + by, then the value ofx + y + z is a + xb + yc + z |
| A. | 1 |
| B. | a + b + c |
| C. | 0 |
| Answer» B. a + b + c | |
| 52. |
If p3 q3 = (p q) {(p + q)2 x p q} then the value of x is |
| A. | 1 |
| B. | 1 |
| C. | 2 |
| D. | 2 |
| Answer» B. 1 | |
| 53. |
If a b = 1 and a3 b3 = 61, then the value of ab will be |
| A. | 20 |
| B. | 20 |
| C. | 30 |
| D. | 60 |
| Answer» C. 30 | |
| 54. |
If a b = 11 and ab = 24, then the value of (a2 + b2) is |
| A. | 169 |
| B. | 37 |
| C. | 73 |
| D. | 48 |
| Answer» B. 37 | |
| 55. |
If k is the largest possible real number such that p4 + q4 = (p2 + kpq + q2)(p2 kpq + q2), then the value of k is |
| A. | 1 |
| B. | |
| C. | 2 |
| D. | |
| Answer» E. | |
| 56. |
If p3 q3 = (p q) {(p q)2 + x p q)} then value of x is |
| A. | 1 |
| B. | 1 |
| C. | 3 |
| D. | 2 |
| Answer» D. 2 | |
| 57. |
If l + m + n = 9 and l2 + m2 + n2 31, then the value of (lm + mn + nl) will be |
| A. | 22 |
| B. | 50 |
| C. | 25 |
| D. | 25 |
| Answer» D. 25 | |
| 58. |
What is the slope between the lines y 3 x 5 = 0 and 3y x + 6 = 0 |
| A. | 1 |
| B. | |
| Answer» C. | |
| 59. |
If a + b + c = 1 thenb + cc + aa + ba2 + b2 + c2 = ?b + cc + aa + b |
| A. | 1 |
| B. | 1 |
| C. | 0 |
| D. | 2 |
| Answer» D. 2 | |
| 60. |
If a + b + c = 0, then2a2 + 2b2 + 2c2 + 3 = ? b2 + c2 a2c2 + a2 b2a2 + b2 c2 |
| A. | 3 |
| B. | 4 |
| C. | 0 |
| D. | 3 |
| Answer» D. 3 | |
| 61. |
If a2 + b2 + c2 = 2(2a 3b 5c) 38, find the value of (a b c). |
| A. | 9 |
| B. | 10 |
| C. | 11 |
| D. | 12 |
| Answer» C. 11 | |
| 62. |
If (a + b)2 = 100 and (a b) = 4, then ab equals to : |
| A. | 116 |
| B. | 84 |
| C. | 21 |
| D. | 53 |
| Answer» D. 53 | |
| 63. |
If a + b + c = 1 , then the value of1 2a1 2b1 2c21 + 1 + 1 is : 1 2a1 2b1 2c |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 4 |
| Answer» E. | |
| 64. |
If x = 1 + 2 + 3, then the value of (2x4 8x3 + 26x 28) is |
| A. | 2 |
| B. | 3 |
| C. | 5 |
| D. | 6 |
| Answer» E. | |
| 65. |
If a = 299, b = 298, c = 297 then the value of 2a3 + 2b3 + 2c3 6abc is |
| A. | 5154 |
| B. | 5267 |
| C. | 5364 |
| D. | 5456 |
| Answer» D. 5456 | |
| 66. |
If a + b = 1, then a4 + b4 a3 b3 2a2b2 + ab is equal to |
| A. | 1 |
| B. | 2 |
| C. | 4 |
| D. | 0 |
| Answer» E. | |
| 67. |
If a + b = 5 and a b = 3, then the value of (a2 + b2) is : |
| A. | 17 |
| B. | 18 |
| C. | 19 |
| D. | 20 |
| Answer» B. 18 | |
| 68. |
The maximum value of 5 + 20x 4x2 , when x is a real number is : |
| A. | 1 |
| B. | 5 |
| C. | 25 |
| D. | 30 |
| Answer» E. | |
| 69. |
If a2 + b2 + c2 = 2a - 2b - 2,then the value of 3a - 2b + c is |
| A. | 0 |
| B. | 3 |
| C. | 5 |
| D. | 2 |
| Answer» D. 2 | |
| 70. |
If a = 6 + 5 , b = 6 5 then 2a2 5 ab + 2b2 = ? |
| A. | 38 |
| B. | 39 |
| C. | 40 |
| D. | 41 |
| Answer» C. 40 | |
| 71. |
a2 + b2 + c2 = 2 (a b c) 3, then the value of (a + b + c) is |
| A. | 0 |
| B. | 1 |
| C. | 1 |
| D. | 2 |
| Answer» D. 2 | |
| 72. |
If a, b, c are real numbers and a2 + b2 + c2 = 2 (a b c) 3, then the value of a + b + c is |
| A. | 1 |
| B. | 1 |
| C. | 3 |
| D. | 0 |
| Answer» B. 1 | |
| 73. |
If a + b + c + d = 4, then find the value of1 + 1 + 1 + 1 . (1 a)(1 b)(1 c)(1 b)(1 c)(1 d)(1 c)(1 d)(1 a)(1 d)(1 a)(1 b) |
| A. | 0 |
| B. | 5 |
| C. | 1 |
| D. | 4 |
| Answer» B. 5 | |
| 74. |
If p = 99 then, the value of p(p2 + 3p + 3) is : |
| A. | 989898 |
| B. | 988899 |
| C. | 999999 |
| D. | 998889 |
| Answer» D. 998889 | |
| 75. |
9x2 + 25 30x can be expressed as the square of |
| A. | 3x 5 |
| B. | 3x + 5 |
| C. | 3x 5 |
| D. | 3x |
| E. | 25 |
| Answer» D. 3x | |
| 76. |
If a + b = 10 and ab = 21, then the value of (a b)2 is |
| A. | 15 |
| B. | 16 |
| C. | 17 |
| D. | 18 |
| Answer» C. 17 | |
| 77. |
If (x 2) (x p) = x2 ax + 6, then the value of (a p) is |
| A. | 0 |
| B. | 1 |
| C. | 2 |
| D. | 3 |
| Answer» D. 3 | |
| 78. |
If (a + b 6)2 + a2 + b2 + 1 + 2b = 2ab + 2a, then the value of a is |
| A. | 7 |
| B. | 6 |
| C. | 3.5 |
| D. | 2.5 |
| Answer» D. 2.5 | |
| 79. |
If x = 99, then the value of 2(x2 + 3x + 3 ) is equal to |
| A. | 1000001 |
| B. | 1000000 |
| C. | 999999 |
| D. | 9999999 |
| E. | None of these |
| Answer» F. | |
| 80. |
If 9x2 + 16y2 = 60 and 3x + 4y = 6, then the value of xy is |
| A. | 1 |
| B. | 1 |
| C. | 2 |
| D. | 2 |
| Answer» B. 1 | |
| 81. |
If (a b) = 3 and (a2 + b2) = 25, then the value of (ab) is |
| A. | 16 |
| B. | 8 |
| C. | 10 |
| D. | 15 |
| Answer» C. 10 | |
| 82. |
If p = 99, then the value of p (p2 + 3p + 3) is |
| A. | 9999 |
| B. | 999999 |
| C. | 99999 |
| D. | 9999999 |
| Answer» C. 99999 | |
| 83. |
What is the value of m in the quadratic equation x2 + mx + 24 = 0 if one of its roots is (3/2) |
| A. | 16 |
| Answer» E. | |
| 84. |
If 4x2 12x + k is a perfect square, then the value of k is |
| A. | 2 |
| B. | 9 |
| C. | 12 |
| D. | 10 |
| Answer» C. 12 | |
| 85. |
If x2 + y2 + 6x + 5 = 4 (x y) then (x y) is |
| A. | 1 |
| B. | 1 |
| C. | 0 |
| D. | 4 |
| Answer» B. 1 | |
| 86. |
If a2 + 1 = a, then the value of a3 is |
| A. | 0 |
| B. | 1 |
| C. | 1 |
| D. | 2 |
| Answer» D. 2 | |
| 87. |
If x + y = 3 and x y = 2 , then the value of 8xy (x2 + y2) is : |
| A. | 6 |
| B. | |
| C. | 5 |
| D. | |
| Answer» D. | |
| 88. |
If a + b = 17 and a b = 9, then the value of (4a2 + 4b2) is : |
| A. | 710 |
| B. | 720 |
| C. | 730 |
| D. | 740 |
| Answer» E. | |
| 89. |
If 1 + x2 represents the redius of circle P and 1 + x = 17,x2x which of the following best approximates the circumference of circle P ? |
| A. | 287 |
| B. | 547 |
| C. | 574 |
| D. | 278 |
| Answer» D. 278 | |
| 90. |
If p = 99, then the value of p(p2 + 3p + 3) will be |
| A. | 999999 |
| B. | 1000000 |
| C. | 1000001 |
| D. | 999998 |
| Answer» B. 1000000 | |
| 91. |
If a2 + b2 + c2 = 2 (a + b + c) 3, then the value of a + b + c is : |
| A. | 2 |
| B. | 1 |
| C. | 1 |
| D. | 2 |
| Answer» C. 1 | |
| 92. |
If x = 3 1 and y = 3 + 1 , then the value of x2 + y2 is 3 3yx |
| A. | |
| B. | 3 |
| C. | 16 |
| D. | 2 |
| Answer» C. 16 | |
| 93. |
If a + b = 12, ab = 22, then (a2 + b2) is equal to |
| A. | 188 |
| B. | 144 |
| C. | 34 |
| D. | 100 |
| Answer» E. | |
| 94. |
If X * Y = X2 + Y2 XY then 11 * 13 is |
| A. | 117 |
| B. | 147 |
| C. | 290 |
| D. | 433 |
| Answer» C. 290 | |
| 95. |
If x varies inversely as (y2 1) and is equal to 24 when y = 10, then the value of x when y = 5 is |
| A. | 99 |
| B. | 12 |
| C. | 24 |
| D. | 100 |
| Answer» B. 12 | |
| 96. |
If (a 3)2 + (b 4)2 + (c 9)2 = 0, then the value of a + b + c is : |
| A. | 4 |
| B. | 4 |
| C. | 4 |
| D. | 2 |
| Answer» D. 2 | |
| 97. |
If (3a + 1)2 + (b 1)2 + (2c 3)2 = 0, then the value of (3a + b + 2c) is equal to : |
| A. | 3 |
| B. | 1 |
| C. | 2 |
| D. | 5 |
| Answer» B. 1 | |
| 98. |
If a2 + b2 + c2 + 3 = 2 (a b c), then the value of 2 a b + c is : |
| A. | 3 |
| B. | 4 |
| C. | 0 |
| D. | 2 |
| Answer» E. | |
| 99. |
If x = 3, then 1 + x + 1 x is equal to21 + 1 + x1 1 x |
| A. | 1 |
| B. | 2 / |
| C. | 2 |
| D. | 2 |
| Answer» C. 2 | |
| 100. |
If a, b are rational numbers and ( a 1) 2 + 3 = b 2 + a , the value of (a + b) is |
| A. | 5 |
| B. | 3 |
| C. | 3 |
| D. | 5 |
| Answer» E. | |