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.
| 1. |
If x = 11, the value of x5 12x4 + 12x 12x + 12x - 1 is |
| A. | 11 |
| B. | 10 |
| C. | 12 |
| D. | 10 |
| Answer» C. 12 | |
| 2. |
If x = 999, y = 1000, z = 1001, then the value of x + y + z - 3xyzis :x - y + z |
| A. | 1000 |
| B. | 9000 |
| C. | 1 |
| D. | 9 |
| Answer» E. | |
| 3. |
If x = a + a + b + a - a + b , then x + 3bx is equal to |
| A. | 0 |
| B. | a |
| C. | 2 a |
| D. | 1 |
| Answer» D. 1 | |
| 4. |
The expression x4 2x + k will be a perfect square when the value of k is |
| A. | 2 |
| B. | 1 |
| C. | 1 |
| D. | 2 |
| Answer» C. 1 | |
| 5. |
If the linex - y = 1abpasses through the points (2, 3) and (4, 5) then (a, b) is |
| A. | (1, 1) |
| B. | ( 1, 1) |
| C. | (1, 1) |
| D. | ( 1, 1) |
| Answer» E. | |
| 6. |
If p + 1 = 1 then the value of (p + 2) + 1 - 3 is : p + 2(p + 2) |
| A. | 12 |
| B. | 16 |
| C. | 18 |
| D. | 15 |
| Answer» E. | |
| 7. |
The third proportional of the following numbers (x y) , (x y ) is : |
| A. | (x + y) (x y) |
| B. | (x + y) |
| C. | (x y) |
| D. | (x + y) (x y) |
| E. | (x + y) (x y) |
| Answer» C. (x y) | |
| 8. |
The distance between the lines y = mx + c1 and y = mx + c1 is |
| A. | |
| B. | 0 |
| Answer» C. | |
| 9. |
When xm is multiplied by xn, product is 1. The relation between m and n is |
| A. | mn = 1 |
| B. | m = n |
| C. | m + n = 1 |
| D. | m = n |
| Answer» E. | |
| 10. |
If x xy + y = 2 and x4 + x y + y4 = 6, then the value of (x + xy + y ) is : |
| A. | 1 |
| B. | 12 |
| C. | 3 |
| D. | 36 |
| Answer» D. 36 | |
| 11. |
If 4r = h + r2 + h2 then r : h is ? (r 0) |
| A. | 17:8 |
| B. | 8:17 |
| C. | 8:15 |
| D. | 15:8 |
| Answer» D. 15:8 | |
| 12. |
The graph of the linear equation 3x + 4y = 24 is a straight line intersecting x-axis and y-axis at the points A and B respectively.P(2, 0) and Q(0,(3/2)) are two points on the sides OA and OB respectively of OAB, where O is the origin of the co-ordinate system. Given that AB = 10 cm, then PQ = |
| A. | 20 cm |
| B. | 2.5 cm |
| C. | 40 cm |
| D. | 5 cm |
| Answer» C. 40 cm | |
| 13. |
If (2x)(2y) = 8 and (9x) (3y) = 81, then (x, y) is : |
| A. | (1,2) |
| B. | (2, 1) |
| C. | (1,1) |
| D. | (2, 2) |
| Answer» B. (2, 1) | |
| 14. |
If A : B : C = 2 : 3 : 4, A : B : C is equal to : BCA |
| A. | 8 : 9 : 16 |
| B. | 8 : 9 : 12 |
| C. | 8 : 9 : 24 |
| D. | 4 : 9 : 16 |
| Answer» D. 4 : 9 : 16 | |
| 15. |
If p = 2 a, then a3 + 6 ap + p3 8 = ? |
| A. | 0 |
| B. | 8 |
| C. | 6 |
| D. | 5 |
| Answer» B. 8 | |
| 16. |
If x + y = 1 + xy, then x3 + y3 x3y3 is equal to : |
| A. | 0 |
| B. | 1 |
| C. | 1 |
| D. | 2 |
| Answer» C. 1 | |
| 17. |
Given (a b) = 2, (a3 b3) = 26 then (a + b)2 is |
| A. | 9 |
| B. | 4 |
| C. | 16 |
| D. | 12 |
| Answer» D. 12 | |
| 18. |
If (x 2) is a factor of x2 + 3Qx 2Q, then the value of Q is |
| A. | 2 |
| B. | 2 |
| C. | 1 |
| D. | 1 |
| Answer» E. | |
| 19. |
If x + y + z = 13 and x2 + y2 + z2 = 69, then xy + z (x + y) is equalto |
| A. | 70 |
| B. | 40 |
| C. | 50 |
| D. | 60 |
| Answer» D. 60 | |
| 20. |
If x = 5 + 2 then the value of x 6x + 12x 13 is |
| A. | 1 |
| B. | 1 |
| C. | 2 |
| D. | 0 |
| Answer» E. | |
| 21. |
If x = y = 333 and z = 334, then the value of x3 + y3 + z3 3xyz is |
| A. | 0 |
| B. | 667 |
| C. | 1000 |
| D. | 2334 |
| Answer» D. 2334 | |
| 22. |
If a2 + b2 + c2 = 2 (a b c) 3, then the value of 4a 3b + 5c is |
| A. | 2 |
| B. | 3 |
| C. | |
| D. | 5 |
| E. | 6 |
| Answer» B. 3 | |
| 23. |
If 22x y = 16 and 2x + y = 32, the value of xy is |
| A. | 2 |
| B. | 4 |
| C. | 6 |
| D. | 8 |
| Answer» D. 8 | |
| 24. |
If a2x + 2 = 1, where a is a positive real number other than 1, then x is equal to |
| A. | 2 |
| B. | 1 |
| C. | 0 |
| D. | 1 |
| Answer» C. 0 | |
| 25. |
If 55x + 5 = 1, then x equals |
| A. | 0 |
| B. | 1 |
| C. | 1 |
| Answer» C. 1 | |
| 26. |
If x = z = 225 and y = 226 then the value of x3 + y3 + z3 - 3xyz is : |
| A. | 765 |
| B. | 676 |
| C. | 576 |
| D. | 674 |
| Answer» C. 576 | |
| 27. |
If x = 5 + 3 and y = 5 - 3 then the value of (x4 y4) is |
| A. | 64 |
| B. | |
| C. | 16 |
| D. | 544 |
| E. | 32 |
| Answer» B. | |
| 28. |
If a, b, c are real and a2 + b2 + c2 = 2 (a b c) 3, then the value of 2a 3b + 4c is |
| A. | 1 |
| B. | 0 |
| C. | 1 |
| D. | 2 |
| Answer» D. 2 | |
| 29. |
The value of the expression x4 17x3 + 17x2 17x + 17 at x = 16 is |
| A. | 0 |
| B. | 1 |
| C. | 2 |
| D. | 3 |
| Answer» C. 2 | |
| 30. |
One of the factors of the expression 4 3x2 + 5x 2 3 is : |
| A. | 4x + |
| B. | 4x + 3 |
| C. | 4x 3 |
| D. | 4x |
| Answer» E. | |
| 31. |
If x = 4 15, the value of x + 20 + x + 12 is 5 + 3x 20x 12 |
| A. | 1 |
| B. | 2 |
| C. | |
| D. | |
| Answer» C. | |
| 32. |
If a = 1 (a > 0), then the value of a +1 is a 5a |
| A. | |
| B. | |
| C. | |
| D. | |
| Answer» B. | |
| 33. |
If a + b + c + d = 4 then the value of 1 + 1 + 1 + 1 is (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. | 1 |
| C. | 4 |
| D. | 1+ abcd |
| Answer» B. 1 | |
| 34. |
If a + b + c = 15 and a2 + b2 + c2 = 83, then a3 + b3 + c3 3abc = ? |
| A. | 160 |
| B. | 175 |
| C. | 180 |
| D. | 100 |
| Answer» D. 100 | |
| 35. |
For what value of a , the polynomial 2x3 + ax2 + 11x + a + 3, is exactly divisible by (2x 1) ? |
| A. | 7 |
| B. | 7 |
| C. | 5 |
| D. | 5 |
| Answer» C. 5 | |
| 36. |
For what value of k, the system of equations 5x + 2y = k10x + 4y = 3 has infinite solutions ? |
| A. | 3/2 |
| B. | 1/2 |
| C. | 5/2 |
| D. | 2 |
| Answer» B. 1/2 | |
| 37. |
If 4x2 + 4y2 + 4z2 = 12x + 12y 18 then x + y + z = ? |
| A. | 3 |
| B. | 4 |
| C. | 3/2 |
| D. | 2 |
| Answer» B. 4 | |
| 38. |
What will be the value of (x a)3 + (x b)3 + (x c)3 3 (x a) (x b) (x c) if a + b+c = 3x ? |
| A. | 1 |
| B. | 3 |
| C. | 0 |
| D. | 5 |
| Answer» D. 5 | |
| 39. |
If x +1 = 2 then the vlaue of xp + xq is :x (where p is an even number and q is an odd number) |
| A. | 2 |
| B. | 2 |
| C. | 1 |
| D. | 0 |
| Answer» E. | |
| 40. |
Equation of line 3x + y 8 = 0 can be represented in normal form as |
| A. | |
| B. | x + y 4 = 0 |
| C. | |
| D. | x y 8 = 0 |
| Answer» B. x + y 4 = 0 | |
| 41. |
What is(x y )3 + (y z )3 + (z x )3(x y)3 + (y z)3 +(z x)3 |
| A. | (x + y) |
| B. | (y + z) |
| C. | (z + x) |
| D. | (x + y) (y + z) (z + x) |
| E. | (x + y) (y + z) |
| Answer» D. (x + y) (y + z) (z + x) | |
| 42. |
What will be the value of x3 + y3 + z3 3xyz when x + y + z = 9 and x2 + y2 + z2 = 31? |
| A. | 27 |
| B. | 3 |
| C. | 54 |
| D. | 9 |
| Answer» D. 9 | |
| 43. |
If a + b + c = 1, ab + bc + ca = 1 and abc = 1, then the value of a3 + b3 + c3 is : |
| A. | 1 |
| B. | 1 |
| C. | 2 |
| D. | 2 |
| Answer» B. 1 | |
| 44. |
If (2a 3)2 + (3b + 4)2 + (6c + 1)2 = 0, then the value ofa3 + b3 + c3 3ac + 3 is :a2 + b2 + c2 |
| A. | abc + 3 |
| B. | 6 |
| C. | 0 |
| D. | 3 |
| Answer» E. | |
| 45. |
If a = 2, b = 3 then the value of 27 a3 54 a2b + 36 ab2 8b3 is |
| A. | 1562 |
| B. | 1616 |
| C. | 1676 |
| D. | 1728 |
| Answer» E. | |
| 46. |
If x + y + z = 9 then the value of (x 4)3 + (y 2)3 + (z 3)3 3 (x 4) (y 2) (z 3) is |
| A. | 6 |
| B. | 9 |
| C. | 0 |
| D. | 1 |
| Answer» D. 1 | |
| 47. |
If m + n = 1, then the value of m3 + n3 + 3mn is equal to |
| A. | 0 |
| B. | 1 |
| C. | 2 |
| D. | 3 |
| Answer» C. 2 | |
| 48. |
If a + b = 3, then the value of a3 + b3 + 9ab 27 is |
| A. | 24 |
| B. | 25 |
| C. | 0 |
| D. | 27 |
| Answer» D. 27 | |
| 49. |
If x = 12 and y = 4, then the value of (x + y)x/y is |
| A. | 48 |
| B. | 1792 |
| C. | 4096 |
| D. | 570 |
| Answer» D. 570 | |
| 50. |
x2 + y2 + z2 = 14 and xy + yz + zx = 11, then the value of (x + y + z)2 is |
| A. | 16 |
| B. | 25 |
| C. | 36 |
| D. | 49 |
| Answer» D. 49 | |