MCQOPTIONS
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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. |
If x−−√x - y√y = 1, x−−√x + y√y = 17, then xy−−√xy = ? |
| A. | 72−−√7272−−√7272−−√72−−√72−−√72−−√72−−√72−−√727272−−−−−−√√72 |
| B. | 72 |
| C. | 32 |
| D. | 24 |
| Answer» B. 72 | |
| 2. |
If x = 999, y = 1000, z = 1001 then the value of x3+y3+z3−3xyzx−y+zx3+y3+z3−3xyzx−y+z is? |
| A. | 1000 |
| B. | 9000 |
| C. | 1 |
| D. | 9 |
| Answer» B. 9000 | |
| 3. |
If 2+aa2+aa + 2+bb2+bb + 2+cc2+cc = 4, then the value of ab+bc+caabcab+bc+caabc is? |
| A. | 2 |
| B. | 1 |
| C. | 0 |
| D. | 12121212121212121212112212 |
| Answer» B. 1 | |
| 4. |
If 2x+14x=1,2x+14x=1, then the value of x2+164x2x2+164x2 is? |
| A. | 0 |
| B. | 1 |
| C. | 14141414141414141414114414 |
| D. | 2 |
| Answer» B. 1 | |
| 5. |
If x2+5x+6=0,x2+5x+6=0, then the value of 2xx2−7x+62xx2−7x+6 is? |
| A. | 16161616161616161616116616 |
| B. | 13131313131313131313113313 |
| C. | −16−16−16−16−16−16−16−16−16161166−16 |
| D. | −13−13−13−13−13−13−13−13−13131133−13 |
| Answer» B. 13131313131313131313113313 | |
| 6. |
If x=1(2–√+1),x=1(2+1), the value of x2 + 2x - 1 is? |
| A. | 22–√2222–√2222–√22–√22–√22–√2222–√2–√222––√√22 |
| B. | 4 |
| C. | 0 |
| D. | 2 |
| Answer» B. 4 | |
| 7. |
If x+1x=13−−√,x+1x=13, then 3x(x2−1)3x(x2−1) equal to? |
| A. | 313−−√313313−−√313313−−√313−−√313−−√313−−√33313−−√13−−√131313−−−−−−√√313 |
| B. | 13−−√13131313−−√13131313−−√1313−−√1313−−√1313−−√1313−−√1313−−√1313−−√13−−√13−−√13−−√13−−√131313−−−−−−√√131313131313 |
| C. | 1 |
| D. | 3 |
| Answer» B. 13−−√13131313−−√13131313−−√1313−−√1313−−√1313−−√1313−−√1313−−√1313−−√13−−√13−−√13−−√13−−√131313−−−−−−√√131313131313 | |
| 8. |
If 2x−12x=5,2x−12x=5, x≠0,x≠0, then find the value of x2+116x2−2x2+116x2−2 = ? |
| A. | 1941941941941941941941941941941919191944194 |
| B. | 2342342342342342342342342342342323232344234 |
| C. | 2742742742742742742742742742742727272744274 |
| D. | 3143143143143143143143143143143131313144314 |
| Answer» B. 2342342342342342342342342342342323232344234 | |
| 9. |
If x+1x=3–√,x+1x=3, then find the value of x3+1x3x3+1x3 = ? |
| A. | -2 |
| B. | 0 |
| C. | 2 |
| D. | 4 |
| Answer» B. 0 | |
| 10. |
If a2 = b + c, b2 = a + c, c2 = b + a, then what will be the value of 1a+11a+1 + 1b+11b+1 + 1c+11c+1 ? |
| A. | -1 |
| B. | 2 |
| C. | 1 |
| D. | 0 |
| Answer» B. 2 | |
| 11. |
If x=aabaab−−√3−−−−−√−−−−−−−−√3−−−−−−−−−−−√....∝x=aabaab33....∝ then the value of x is? |
| A. | a2b−−−√5a2b5a2b−−−√5a2b5a2b−−−√5a2b−−−√5a2b−−−√5a2b−−−√5a2b−−−√5a2b−−−√5a2ba2ba2a2a2a2aa22b−−−−−−−−−√√55a2b5 |
| B. | a4b4−−−−√5a4b45a4b4−−−−√5a4b45a4b4−−−−√5a4b4−−−−√5a4b4−−−−√5a4b4−−−−√5a4b4−−−−√5a4b4−−−−√5a4b4a4b4a4a4a4a4aa44b4b4b4b4bb44−−−−−−−−−−−−√√55a4b45 |
| C. | a5b−−−√6a5b6a5b−−−√6a5b6a5b−−−√6a5b−−−√6a5b−−−√6a5b−−−√6a5b−−−√6a5b−−−√6a5ba5ba5a5a5a5aa55b−−−−−−−−−√√66a5b6 |
| D. | a4b−−−√5a4b5a4b−−−√5a4b5a4b−−−√5a4b−−−√5a4b−−−√5a4b−−−√5a4b−−−√5a4b−−−√5a4ba4ba4a4a4a4aa44b−−−−−−−−−√√55a4b5 |
| Answer» B. a4b4−−−−√5a4b45a4b4−−−−√5a4b45a4b4−−−−√5a4b4−−−−√5a4b4−−−−√5a4b4−−−−√5a4b4−−−−√5a4b4−−−−√5a4b4a4b4a4a4a4a4aa44b4b4b4b4bb44−−−−−−−−−−−−√√55a4b45 | |
| 12. |
If a+1a=3,a+1a=3, then the value of a3+1a3a3+1a3 is? |
| A. | 27 |
| B. | 24 |
| C. | 19 |
| D. | 18 |
| Answer» B. 24 | |
| 13. |
If ab=12,ab=12, find the value of the expression (2a−5b)(5a+3b)(2a−5b)(5a+3b) = ? |
| A. | -32 |
| B. | 11 |
| C. | −811−811−811−811−811−811−811−811−811−811−8−8−8−811111111−811 |
| D. | 17 |
| Answer» B. 11 | |
| 14. |
If for a non - zero x, 32 + 5x + 3 = 0, then the value of x3+1x3x3+1x3 is? |
| A. | 102710271027102710271027102710271027102710101010272727271027 |
| B. | −(1027)−(1027)−(1027)−(1027)−(1027)−(1027)−(1027)−(1027)−(1027)((10271027102710271010101027272727))−(1027) |
| C. | 23232323232323232323223323 |
| D. | −(23)−(23)−(23)−(23)−(23)−(23)−(23)−(23)−(23)((232323232233))−(23) |
| Answer» B. −(1027)−(1027)−(1027)−(1027)−(1027)−(1027)−(1027)−(1027)−(1027)((10271027102710271010101027272727))−(1027) | |
| 15. |
If a+b=2c,a+b=2c, find aa−caa−c + cb−ccb−c = ? |
| A. | 27 |
| B. | 3 |
| C. | 54 |
| D. | 9 |
| Answer» B. 3 | |
| 16. |
If a + b + c = m and 1a1a + 1b1b + 1c,1c, then average of a2, b2, c2 is? |
| A. | m2m2m2m2m2m2m2m2m2m2m2m2mm22m2 |
| B. | m23m23m23m23m23m23m23m23m23m23m2m2m2m2m2m2m2mm2233m23 |
| C. | m29m29m29m29m29m29m29m29m29m29m2m2m2m2m2m2m2mm2299m29 |
| D. | m227m227m227m227m227m227m227m227m227m227m2m2m2m2m2m2m2mm2227272727m227 |
| Answer» B. m23m23m23m23m23m23m23m23m23m23m2m2m2m2m2m2m2mm2233m23 | |
| 17. |
If x2+1x2=1,x2+1x2=1, then the value of x102x102 + x96x96 + x90x90 + x84x84 + x78x78 + x72x72 + 55 is? |
| A. | 0 |
| B. | 5 |
| C. | 3 |
| D. | 1 |
| Answer» B. 5 | |
| 18. |
Find the minimum value of x which the expression x3 - 7x2 + 11x - 5 ≥ 0. |
| A. | 0 |
| B. | 5 |
| C. | 1 |
| D. | -3 |
| Answer» B. 5 | |
| 19. |
If (a−−√+b√)(a+b) = 15 and (a−−√−b√)(a−b) = 3, then the value of ab−−√4ab4 is? |
| A. | 6 |
| B. | 7 |
| C. | 2722722722722722722722722722722727272722272 |
| D. | 5 |
| Answer» B. 7 | |
| 20. |
If a=3–√−2–√3–√+2–√a=3−23+2 and b=3–√+2–√3–√−2–√,b=3+23−2, then the value of a2ba2b + b2ab2a = ? |
| A. | 1030 |
| B. | 970 |
| C. | 1025 |
| D. | 930 |
| Answer» B. 970 | |
| 21. |
If ab=256,ab=256, then the value of a2−b2a2+b2a2−b2a2+b2 is? |
| A. | 589651589651589651589651589651589651589651589651589651589651589589589589651651651651589651 |
| B. | 589661589661589661589661589661589661589661589661589661589661589589589589661661661661589661 |
| C. | 661589661589661589661589661589661589661589661589661589661589661661661661589589589589661589 |
| D. | 625366253662536625366253662536625366253662536625366256256256253636363662536 |
| Answer» B. 589661589661589661589661589661589661589661589661589661589661589589589589661661661661589661 | |
| 22. |
If x = 1 + 2–√2 + 3–√3 and y = 1 + 2–√2 - 3–√,3, then the value of x2+4xy+y2x+yx2+4xy+y2x+y is? |
| A. | 22–√2222–√2222–√22–√22–√22–√22–√2–√222––√√22 |
| B. | 2(2+2–√)2(2+2)2(2+2–√)2(2+2)2(2+2–√)2(2+2–√)2(2+2–√)2(2+2–√)2(2+2–√)((2+2–√2+2–√2+2–√2–√222––√√))2(2+2) |
| C. | 1 |
| D. | 6 |
| Answer» B. 2(2+2–√)2(2+2)2(2+2–√)2(2+2)2(2+2–√)2(2+2–√)2(2+2–√)2(2+2–√)2(2+2–√)((2+2–√2+2–√2+2–√2–√222––√√))2(2+2) | |
| 23. |
If x : y = 3 : 5 and x - y = -2, then the value of x + y is? |
| A. | 8 |
| B. | 2 |
| C. | 3 |
| D. | 5 |
| Answer» B. 2 | |
| 24. |
The simplified value of following is: (315a5b6c3×59ab5c4)(315a5b6c3×59ab5c4) ÷ 1017a2bc31017a2bc3 |
| A. | 310ab4c3310ab4c3310ab4c3310ab4c3310ab4c3310ab4c3310ab4c3310ab4c33103103310101010ab4b4b4b4bb44c3c3c3c3cc33310ab4c3 |
| B. | 910a2bc4910a2bc4910a2bc4910a2bc4910a2bc4910a2bc4910a2bc4910a2bc49109109910101010a2a2a2a2aa22bc4c4c4c4cc44910a2bc4 |
| C. | 910a2bc4910a2bc4910a2bc4910a2bc4910a2bc4910a2bc4910a2bc4910a2bc49109109910101010a2a2a2a2aa22bc4c4c4c4cc44910a2bc4 |
| D. | 110a4b4c10110a4b4c10110a4b4c10110a4b4c10110a4b4c10110a4b4c10110a4b4c10110a4b4c101101101110101010a4a4a4a4aa44b4b4b4b4bb44c10c10c10c10cc10101010110a4b4c10 |
| Answer» B. 910a2bc4910a2bc4910a2bc4910a2bc4910a2bc4910a2bc4910a2bc4910a2bc49109109910101010a2a2a2a2aa22bc4c4c4c4cc44910a2bc4 | |
| 25. |
If 2, 0 is a solution of the linear equation 2x + 3y = k, then the value of k is? |
| A. | 4 |
| B. | 6 |
| C. | 5 |
| D. | 2 |
| Answer» B. 6 | |
| 26. |
If x+1x=3,x+1x=3, where x≠0,x≠0, then the value of x4+3x3+5x2+3x+1x4+1x4+3x3+5x2+3x+1x4+1 = ? |
| A. | 3 |
| B. | 5 |
| C. | 7 |
| D. | 2 |
| Answer» B. 5 | |
| 27. |
If a2 + b2 + c2 = 2(a - b - c) -3, then the value of a + b + c is? |
| A. | -2 |
| B. | 1 |
| C. | 2 |
| D. | -1 |
| Answer» B. 1 | |
| 28. |
If x+1x−1=abx+1x−1=ab and 1−y1+y=ba,1−y1+y=ba, then the value of x−y1+xyx−y1+xy is? |
| A. | a2−b2aba2−b2aba2−b2aba2−b2aba2−b2aba2−b2aba2−b2aba2−b2aba2−b2aba2−b2aba2−b2a2−b2a2−b2a2a2a2a2aa22−b2b2b2b2bb22ababababa2−b2ab |
| B. | a2+b22aba2+b22aba2+b22aba2+b22aba2+b22aba2+b22aba2+b22aba2+b22aba2+b22aba2+b22aba2+b2a2+b2a2+b2a2a2a2a2aa22+b2b2b2b2bb222ab2ab2ab2aba2+b22ab |
| C. | a2−b22aba2−b22aba2−b22aba2−b22aba2−b22aba2−b22aba2−b22aba2−b22aba2−b22aba2−b22aba2−b2a2−b2a2−b2a2a2a2a2aa22−b2b2b2b2bb222ab2ab2ab2aba2−b22ab |
| D. | 2aba2−b22aba2−b22aba2−b22aba2−b22aba2−b22aba2−b22aba2−b22aba2−b22aba2−b22aba2−b22ab2ab2ab2aba2−b2a2−b2a2−b2a2a2a2a2aa22−b2b2b2b2bb222aba2−b2 |
| Answer» B. a2+b22aba2+b22aba2+b22aba2+b22aba2+b22aba2+b22aba2+b22aba2+b22aba2+b22aba2+b22aba2+b2a2+b2a2+b2a2a2a2a2aa22+b2b2b2b2bb222ab2ab2ab2aba2+b22ab | |
| 29. |
If xy = a+2a−2,xy = a+2a−2, then the value of x2−y2x2+y2x2−y2x2+y2 = ? |
| A. | 2aa2+22aa2+22aa2+22aa2+22aa2+22aa2+22aa2+22aa2+22aa2+22aa2+22a2a2a2aa2+2a2+2a2+2a2a2a2a2aa22+22aa2+2 |
| B. | 4aa2+44aa2+44aa2+44aa2+44aa2+44aa2+44aa2+44aa2+44aa2+44aa2+44a4a4a4aa2+4a2+4a2+4a2a2a2a2aa22+44aa2+4 |
| C. | 2aa2+42aa2+42aa2+42aa2+42aa2+42aa2+42aa2+42aa2+42aa2+42aa2+42a2a2a2aa2+4a2+4a2+4a2a2a2a2aa22+42aa2+4 |
| D. | 4aa2+24aa2+24aa2+24aa2+24aa2+24aa2+24aa2+24aa2+24aa2+24aa2+24a4a4a4aa2+2a2+2a2+2a2a2a2a2aa22+24aa2+2 |
| Answer» B. 4aa2+44aa2+44aa2+44aa2+44aa2+44aa2+44aa2+44aa2+44aa2+44aa2+44a4a4a4aa2+4a2+4a2+4a2a2a2a2aa22+44aa2+4 | |
| 30. |
If x−1x=2,x−1x=2, then the value of the following is x3−1x3x3−1x3 = ? |
| A. | 2 |
| B. | 11 |
| C. | 15 |
| D. | 14 |
| Answer» B. 11 | |
| 31. |
If x(x + y + z) = 20, y = (x + y + z) = 30 u0026 z(x + y + z) = 50, then the value of 2(x + y + z) is? |
| A. | 20 |
| B. | 10 |
| C. | 15 |
| D. | 18 |
| Answer» B. 10 | |
| 32. |
If x = y = z, then (x+y+z)2x2+y2+z2(x+y+z)2x2+y2+z2 is? |
| A. | 2 |
| B. | 3 |
| C. | 1 |
| D. | 4 |
| Answer» B. 3 | |
| 33. |
If x = 2, y = 1 and z = -3, then x3 + y3 + z3 - 3xyz is equal to? |
| A. | 6 |
| B. | 0 |
| C. | 2 |
| D. | 8 |
| Answer» B. 0 | |
| 34. |
If x = y, then the value of the expression x2−2+1x2x2−2+1x2 is? |
| A. | 576255762557625576255762557625576255762557625576255765765765762525252557625 |
| B. | 242524252425242524252425242524252425242524242424252525252425 |
| C. | 2452452452452452452452452452452424242455245 |
| D. | 625246252462524625246252462524625246252462524625246256256256252424242462524 |
| Answer» B. 242524252425242524252425242524252425242524242424252525252425 | |
| 35. |
The sum of 1x+y1x+y and 1x−y1x−y is? |
| A. | 2yx2−y22yx2−y22yx2−y22yx2−y22yx2−y22yx2−y22yx2−y22yx2−y22yx2−y22yx2−y22y2y2y2yx2−y2x2−y2x2−y2x2x2x2x2xx22−y2y2y2y2yy222yx2−y2 |
| B. | 2xx2−y22xx2−y22xx2−y22xx2−y22xx2−y22xx2−y22xx2−y22xx2−y22xx2−y22xx2−y22x2x2x2xx2−y2x2−y2x2−y2x2x2x2x2xx22−y2y2y2y2yy222xx2−y2 |
| C. | −2yx2−y2−2yx2−y2−2yx2−y2−2yx2−y2−2yx2−y2−2yx2−y2−2yx2−y2−2yx2−y2−2yx2−y2−2yx2−y2−2y−2y−2y−2yx2−y2x2−y2x2−y2x2x2x2x2xx22−y2y2y2y2yy22−2yx2−y2 |
| D. | 2xy2−x22xy2−x22xy2−x22xy2−x22xy2−x22xy2−x22xy2−x22xy2−x22xy2−x22xy2−x22x2x2x2xy2−x2y2−x2y2−x2y2y2y2y2yy22−x2x2x2x2xx222xy2−x2 |
| Answer» B. 2xx2−y22xx2−y22xx2−y22xx2−y22xx2−y22xx2−y22xx2−y22xx2−y22xx2−y22xx2−y22x2x2x2xx2−y2x2−y2x2−y2x2x2x2x2xx22−y2y2y2y2yy222xx2−y2 | |
| 36. |
If m=5+5+5.....−−−−√−−−−−−−−√−−−−−−−−−−−−−√m=5+5+5..... and n=5−5−5.....−−−−√−−−−−−−−√−−−−−−−−−−−−−√n=5−5−5..... then among the following the relation between m u0026 n holds is? |
| A. | m - n + 1 = 0 |
| B. | m + n + 1 = 0 |
| C. | m + n - 1 = 0 |
| D. | m - n - 1 = 0 |
| Answer» B. m + n + 1 = 0 | |
| 37. |
If a + b = 1, find the value of a3 + b3 - ab - (a2 - b2)2 = ? |
| A. | 0 |
| B. | 1 |
| C. | -1 |
| D. | 2 |
| Answer» B. 1 | |
| 38. |
If x+(1x)=2,x+(1x)=2, then the value of x7 + (1x5)x7 + (1x5) is? |
| A. | 25 |
| B. | 212 |
| C. | 2 |
| D. | 27 |
| Answer» B. 212 | |
| 39. |
IF 999x + 888y = 1332 and 888x + 999y = 555, then the value of x + y is? |
| A. | 888 |
| B. | 1 |
| C. | 555 |
| D. | 999 |
| Answer» B. 1 | |
| 40. |
If x - √3 - √2 = 0 and y - √3 + √2, then the value of (x3 - 20√2) - (y3 + 2√2) ? |
| A. | 2 |
| B. | 3 |
| C. | 1 |
| D. | 0 |
| Answer» B. 3 | |
| 41. |
If a2 + b2 + c2 = ab + bc + ca, then the value of a+cba+cb is? |
| A. | 0 |
| B. | 2 |
| C. | 1 |
| D. | 3 |
| Answer» B. 2 | |
| 42. |
(3x - 2y) : (3x + 3y) = 5 : 6, then one of the value of (x−−√3+y√3x−−√3−y√3)2(x3+y3x3−y3)2 is? |
| A. | 1251251251251251251251251251251125252525125 |
| B. | 5 |
| C. | 15151515151515151515115515 |
| D. | 25 |
| Answer» B. 5 | |
| 43. |
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 | |
| 44. |
If x+1x=2,x+1x=2, then the value of x12+1x12x12+1x12 is? |
| A. | -4 |
| B. | 4 |
| C. | 2 |
| D. | 0 |
| Answer» B. 4 | |
| 45. |
If x2+x=5,x2+x=5, then the value of (x+3)3+1(x+3)3=?(x+3)3+1(x+3)3=? |
| A. | 140 |
| B. | 110 |
| C. | 130 |
| D. | 120 |
| Answer» B. 110 | |
| 46. |
m−a2b2+c2m−a2b2+c2 + m−b2c2+a2m−b2c2+a2 + m−c2a2+b2m−c2a2+b2 = 3m, then the value of m is? |
| A. | a2 + b2 |
| B. | a2 + b2 + c2 |
| C. | a2 - b2 - c2 |
| D. | a2 + b2 - c2 |
| Answer» B. a2 + b2 + c2 | |
| 47. |
IF m - 5n = 2, then the value of (m3 - 125n3 - 30mn) is? |
| A. | 6 |
| B. | 7 |
| C. | 8 |
| D. | 9 |
| Answer» B. 7 | |
| 48. |
If 2+x3–√2+x3 = 12+3–√,12+3, then the simplest value of x is? |
| A. | 1 |
| B. | -2 |
| C. | 2 |
| D. | -1 |
| Answer» B. -2 | |
| 49. |
If x=a+a2+b3−−−−−−√−−−−−−−−−−−√3x=a+a2+b33 + a−a2+b3−−−−−−√−−−−−−−−−−−√3a−a2+b33 then x3+3bxx3+3bx is equal to? |
| A. | 0 |
| B. | a |
| C. | 2a |
| D. | 1 |
| Answer» B. a | |
| 50. |
If a−−√3+b√3+c√3,a3+b3+c3, then the simplest value of (a+b−c)3(a+b−c)3 + 27abc27abc is? |
| A. | -1 |
| B. | 3 |
| C. | -3 |
| D. | 0 |
| Answer» B. 3 | |