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MCQOPTIONS
This section includes 657 Mcqs, each offering curated multiple-choice questions to sharpen your Testing Subject knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
The income of A, B and C are in the ratio 7 : 9 : 12 and their spending are in the ratio 8 : 9 : 15. If A saves 1/4 th of his income then the savings of A, B and C are in the ratio of = ? |
| A. | 56 : 99 : 69 |
| B. | 69 : 56 : 99 |
| C. | 99 : 56 : 69 |
| D. | 99 : 69 : 56 |
| Answer» B. 69 : 56 : 99 | |
| 2. |
Two numbers are in the ratio 17 : 45, One - third of the smaller is less then 1/5 of the bigger by 15. The smaller number is = ? |
| A. | 251/2 |
| B. | 671/2 |
| C. | 761/2 |
| D. | 861/2 |
| Answer» B. 671/2 | |
| 3. |
3/4 : 1/2 :: 27y : ? Solve this - |
| A. | 12y |
| B. | 18y |
| C. | 21y |
| D. | 24y |
| Answer» B. 18y | |
| 4. |
If √2 : (1 + √3) :: √6 : x, then x is equal to - |
| A. | √3 + 3 |
| B. | 1 - √3 |
| C. | 1 + √3 |
| D. | √3 - 3 |
| Answer» B. 1 - √3 | |
| 5. |
If m : n = 3 : 2, then (4m + 5n) : (4n - 5n) is equal to = ? |
| A. | 4 : 9 |
| B. | 9 : 4 |
| C. | 11 : 1 |
| D. | 9 : 1 |
| Answer» B. 9 : 4 | |
| 6. |
Two numbers are in the ratio 11/2 : 22/3. When each of these is increased by 15, they become in the ratio. The greater of the numbers is = ? |
| A. | 27 |
| B. | 36 |
| C. | 48 |
| D. | 64 |
| Answer» B. 36 | |
| 7. |
The value of x wherex:213::21:50is−The value of x wherex:213::21:50is− |
| A. | 11/49 |
| B. | 11/50 |
| C. | 49/50 |
| D. | 27/50 |
| Answer» B. 11/50 | |
| 8. |
How many sides does a regular polygon have whose interior and exterior angle are in the ratio 2 : 1 ? |
| A. | 3 |
| B. | 5 |
| C. | 6 |
| D. | 12 |
| Answer» B. 5 | |
| 9. |
If 60% A = 3/4 of B, then A : B is |
| A. | 4 : 5 |
| B. | 5 : 4 |
| C. | 9 : 20 |
| D. | 20 : 9 |
| Answer» B. 5 : 4 | |
| 10. |
A bucket contains a mixture of two liquids A u0026 B in the proportion 5 : 3. If 16 litres of the mixture is replaced by 16 litres of liquid B, then the ratio of the two liquids becomes 3 : 5. How much of the liquid B was there in the bucket? |
| A. | 25 litres |
| B. | 15 litres |
| C. | 18 litres |
| D. | None of these |
| Answer» B. 15 litres | |
| 11. |
The milk and water in a mixture are in the ratio 7 :5. When 15 liters of water are added to it, the ratio of milk and water in the new mixture becomes 7 :8. The total quantity of water in the new mixture is: |
| A. | 35 lit |
| B. | 40 lit |
| C. | 60 lit |
| D. | 96 lit |
| Answer» B. 40 lit | |
| 12. |
Find the nth term of the following sequence :n5 + 55 +555 + . . . . Tn |
| A. | 5(10n - 1) |
| B. | 5n(10n - 1) |
| C. | (5/9)*(10n - 1) |
| D. | (5/9)n *10n - 1) |
| Answer» B. 5n(10n - 1) | |
| 13. |
If x2+1x2=98,x2+1x2=98, (xu003e0),(xu003e0), then the value of 3+1x33+1x3 is? |
| A. | 970 |
| B. | 1030 |
| C. | -970 |
| D. | -1030 |
| Answer» B. 1030 | |
| 14. |
If x = y + z then x3 - y3 - z3 is? |
| A. | 0 |
| B. | 3xyz |
| C. | -3xyz |
| D. | 1 |
| Answer» B. 3xyz | |
| 15. |
If a2 + b2 + c2 = 16, x2 + y2 + z2 = 25 and ax + by + cz = 20 then the value of a+b+cx+y+za+b+cx+y+z = ? |
| A. | 35353535353535353535335535 |
| B. | 45454545454545454545445545 |
| C. | 53535353535353535353553353 |
| D. | 54545454545454545454554454 |
| Answer» B. 45454545454545454545445545 | |
| 16. |
If a + b + c + d = 4, then the value of 1(1−a)(1−b)(1−c)1(1−a)(1−b)(1−c) + 1(1−b)(1−c)(1−d)1(1−b)(1−c)(1−d) + 1(1−c)(1−d)(1−a)1(1−c)(1−d)(1−a) + 1(1−d)(1−a)(1−b)1(1−d)(1−a)(1−b) is? |
| A. | 0 |
| B. | 1 |
| C. | 4 |
| D. | 1 + abcd |
| Answer» B. 1 | |
| 17. |
If x, y, z are the three factors of a3 - 7a - 6, then value of x + y + z will be? |
| A. | 3a |
| B. | 3 |
| C. | 6 |
| D. | a |
| Answer» B. 3 | |
| 18. |
If p3 - q3 = (p - q){(p -q)2 + xpq}, then the value of x is? |
| A. | 1 |
| B. | -1 |
| C. | 3 |
| D. | 2 |
| Answer» B. -1 | |
| 19. |
If x=5–√+15–√−1x=5+15−1 and y=5–√−15–√+1,y=5−15+1, then the value of x2+xy+y2x2−xy+y2x2+xy+y2x2−xy+y2 is? |
| A. | 34343434343434343434334434 |
| B. | 53535353535353535353553353 |
| C. | 43434343434343434343443343 |
| D. | 35353535353535353535335535 |
| Answer» B. 53535353535353535353553353 | |
| 20. |
If x2 + y2 + 2x +1 = 0, then the value of x31 + y35 is? |
| A. | -1 |
| B. | 1 |
| C. | 0 |
| D. | 2 |
| Answer» B. 1 | |
| 21. |
If p2+q2=7pq,p2+q2=7pq, then the value of pq + qppq + qp is equal to? |
| A. | 9 |
| B. | 5 |
| C. | 7 |
| D. | 3 |
| Answer» B. 5 | |
| 22. |
If x=(0.25)12,x=(0.25)12, y=(0.4)2,y=(0.4)2, z=(0.216)12z=(0.216)12 then- |
| A. | y u003e x u003e z |
| B. | x u003e y u003e z |
| C. | z u003e x u003e y |
| D. | x u003e z u003e y |
| Answer» B. x u003e y u003e z | |
| 23. |
p+1p+2=1,p+1p+2=1, Find the value of (p+2)3(p+2)3 + 1(p+2)31(p+2)3 - 3 = ? |
| A. | 12 |
| B. | 16 |
| C. | 18 |
| D. | 15 |
| Answer» B. 16 | |
| 24. |
If x+1x=2x+1x=2 then x2+1x2x2+1x2 is equal to? |
| A. | 0 |
| B. | 2 |
| C. | 4 |
| D. | 8 |
| Answer» B. 2 | |
| 25. |
If x + y = √3 and x - y = √2, then the value of 8xy(x2 + y2) is? |
| A. | 6 |
| B. | √6 |
| C. | 5 |
| D. | √5 |
| Answer» B. √6 | |
| 26. |
If x=313−313x=313−313 value of 3x3 + 9x is? |
| A. | 8 |
| B. | 9 |
| C. | 27 |
| D. | 16 |
| Answer» B. 9 | |
| 27. |
If (x+1x)(x+1x) : (x−1x)(x−1x) = 5 : 3 the value of x is/are ? |
| A. | ±1 |
| B. | ±2 |
| C. | ±3` |
| D. | 0 |
| Answer» B. ±2 | |
| 28. |
If a3+1a3=2,a3+1a3=2, then the value of a2+1aa2+1a is (a positive number) ? |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 4 |
| Answer» B. 2 | |
| 29. |
If aq−raq−r = br−pbr−p = cp−q,cp−q, find the value of pa + qb + rc is? |
| A. | 0 |
| B. | 21 |
| C. | 2 |
| D. | -6 |
| Answer» B. 21 | |
| 30. |
If x2+1x2=2, x2+1x2=2, then the value of x−1xx−1x is? |
| A. | -2 |
| B. | 0 |
| C. | 1 |
| D. | -1 |
| Answer» B. 0 | |
| 31. |
If a2+b2c2a2+b2c2 = b2+c2a2b2+c2a2 = c2+a2b2c2+a2b2 = 1k,1k, (k≠0)(k≠0) then k = ? |
| A. | 2 |
| B. | 1 |
| C. | 0 |
| D. | 12121212121212121212112212 |
| Answer» B. 1 | |
| 32. |
If p3 - q3 = (p - q){(p + q)2 - xpq}, then the value of x is? |
| A. | 1 |
| B. | -1 |
| C. | 2 |
| D. | -2 |
| Answer» B. -1 | |
| 33. |
If (a+1a)2=3,(a+1a)2=3, the value of a3+1a3a3+1a3 = ? |
| A. | 0 |
| B. | 3(a+1a)3(a+1a)3(a+1a)3(a+1a)3(a+1a)3(a+1a)3(a+1a)3(a+1a)3(a+1a)((a+1aa+1aa+1a1a11aa))3(a+1a) |
| C. | 3(a2+1a2)3(a2+1a2)3(a2+1a2)3(a2+1a2)3(a2+1a2)3(a2+1a2)3(a2+1a2)3(a2+1a2)3(a2+1a2)((a2+1a2a2+1a2a2a2a2a2aa22+1a21a211a2a2a2a2a2a2a2aa22))3(a2+1a2) |
| D. | 1 |
| Answer» B. 3(a+1a)3(a+1a)3(a+1a)3(a+1a)3(a+1a)3(a+1a)3(a+1a)3(a+1a)3(a+1a)((a+1aa+1aa+1a1a11aa))3(a+1a) | |
| 34. |
If pq(p + q) = 1, then the value of 1p3q31p3q3 - p3p3 - q3,q3, is equal to? |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 4 |
| Answer» B. 2 | |
| 35. |
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» B. 9 | |
| 36. |
Given a - b = 2, a3 - b3 = 26, then (a + b)2 is? |
| A. | 9 |
| B. | 4 |
| C. | 16 |
| D. | 12 |
| Answer» B. 4 | |
| 37. |
If c+1c=3–√,c+1c=3, then the value of c3+1c3c3+1c3 is equal to? |
| A. | 0 |
| B. | 33–√3333–√3333–√33–√33–√33–√33–√33–√333–√3–√3–√3–√3–√333––√√33 |
| C. | 13–√1313–√1313–√13–√13–√13–√13–√13–√113–√3–√3–√3–√3–√333––√√13 |
| D. | 63–√6363–√6363–√63–√63–√63–√63–√63–√663–√3–√3–√3–√3–√333––√√63 |
| Answer» B. 33–√3333–√3333–√33–√33–√33–√33–√33–√333–√3–√3–√3–√3–√333––√√33 | |
| 38. |
If 4x+1x=5,4x+1x=5, x≠0,x≠0, then the value of 5x4x2+10x+15x4x2+10x+1 is? |
| A. | 12121212121212121212112212 |
| B. | 13131313131313131313113313 |
| C. | 23232323232323232323223323 |
| D. | 3 |
| Answer» B. 13131313131313131313113313 | |
| 39. |
If x+19x=4,x+19x=4, then 9x2+19x29x2+19x2 is? |
| A. | 140 |
| B. | 142 |
| C. | 144 |
| D. | 146 |
| Answer» B. 142 | |
| 40. |
If ab = 21 and (a+b)2(a−b)2(a+b)2(a−b)2 = 254,254, then the value of a2 + b2 + 3ab is? |
| A. | 115 |
| B. | 121 |
| C. | 125 |
| D. | 127 |
| Answer» B. 121 | |
| 41. |
If p2+1p2=47,p2+1p2=47, then the value of p+1pp+1p is? |
| A. | 5 |
| B. | 6 |
| C. | 7 |
| D. | 8 |
| Answer» B. 6 | |
| 42. |
If x+5–√=5+y√x+5=5+y and x, y are positive integers, then the value of x−−√+yx+y√x+yx+y is? |
| A. | 1 |
| B. | 2 |
| C. | 5 |
| D. | 7 |
| Answer» B. 2 | |
| 43. |
If x=x2+11−−−−−−√3−2,x=x2+113−2, then the value of x3 + 5x2 + 12x is? |
| A. | 0 |
| B. | 3 |
| C. | 7 |
| D. | 11 |
| Answer» B. 3 | |
| 44. |
If 2x+13x=5,2x+13x=5, then the value of 5x6x2+20x+15x6x2+20x+1 is? |
| A. | 14141414141414141414114414 |
| B. | 16161616161616161616116616 |
| C. | 15151515151515151515115515 |
| D. | 17171717171717171717117717 |
| Answer» B. 16161616161616161616116616 | |
| 45. |
If x=a−−√+1a−−√,x=a+1a, y=a−−√−1a−−√,y=a−1a, (au003e0)(au003e0) then the value of x4 + y4 - 2x2y2 is? |
| A. | 16 |
| B. | 20 |
| C. | 10 |
| D. | 5 |
| Answer» B. 20 | |
| 46. |
If (x - 2)(x - p) = x2 - ax + 6, then the value of (a - p) is? |
| A. | 0 |
| B. | 1 |
| C. | 2 |
| D. | 3 |
| Answer» B. 1 | |
| 47. |
If (x - y)2 + (y - 2)2 + (z - 9)2 = 0, then the value of (x + y - z) is? |
| A. | 16 |
| B. | -1 |
| C. | -2 |
| D. | 12 |
| Answer» B. -1 | |
| 48. |
If a1−2aa1−2a + b1−2bb1−2b + c1−2cc1−2c = 12,12, then the value of 11−2a11−2a + 11−2b11−2b + 11−2c11−2c is? |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 4 |
| Answer» B. 2 | |
| 49. |
If 3–√+13–√,3+13, then the value of (x−126−−−√42−−√)(x−12642) ⎛⎝x−1x−23√3⎞⎠(x−1x−233) is? |
| A. | 53–√653653–√653653–√653–√653–√653–√65553–√63–√63–√3–√3–√3–√3–√333––√√66536 |
| B. | 23–√323323–√323323–√323–√323–√323–√323–√323–√323–√23–√23–√23–√3–√333––√√33233 |
| C. | 56565656565656565656556656 |
| D. | 23232323232323232323223323 |
| Answer» B. 23–√323323–√323323–√323–√323–√323–√323–√323–√323–√23–√23–√23–√3–√333––√√33233 | |
| 50. |
If 1a(a2+1)=3,1a(a2+1)=3, then the value of a6+1a3a6+1a3 = ? |
| A. | 9 |
| B. | 18 |
| C. | 27 |
| D. | 1 |
| Answer» B. 18 | |