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 x2+15x+a2x2+15x+a2 is a perfect square, then a is? |
| A. | 1100110011001100110011001100110011001100111001001001001100 |
| B. | ±110±110±110±110±110±110±110±110±1101101110101010±110 |
| C. | 1101101101101101101101101101101110101010110 |
| D. | −110−110−110−110−110−110−110−110−1101101110101010−110 |
| Answer» B. ±110±110±110±110±110±110±110±110±1101101110101010±110 | |
| 2. |
If x−a2b+cx−a2b+c + x−b2c+ax−b2c+a + x−c2a+bx−c2a+b = 4(a + b + c), then x = ? |
| A. | (a + b + c)2 |
| B. | a2 + b2 + c2 |
| C. | ab + bc + ca |
| D. | a2 + b2 + c2 - ab - bc - ca |
| Answer» B. a2 + b2 + c2 | |
| 3. |
If a + b + c = 9 (where a, b, c are real numbers) then the minimum value of a2 + b2 + c2 is? |
| A. | 3 |
| B. | 31431431431431431431431433314141144314 |
| C. | 2 |
| D. | 21421421421421421421421422214141144214 |
| Answer» B. 31431431431431431431431433314141144314 | |
| 4. |
If x−−√=3–√−5–√,x=3−5, then the value of x2 - 16x + 6 is? |
| A. | 0 |
| B. | -2 |
| C. | 2 |
| D. | 4 |
| Answer» B. -2 | |
| 5. |
The minimum value of (x - 2)(x - 9) is? |
| A. | −114−114−114−114−114−114−114−114−1141141111111144−114 |
| B. | 4944944944944944944944944944944949494944494 |
| C. | 0 |
| D. | −494−494−494−494−494−494−494−494−4944944949494944−494 |
| Answer» B. 4944944944944944944944944944944949494944494 | |
| 6. |
If x2 = y + z, y2 = z + x, z2 = x + y, then the value of 1x+11x+1 + 1y+11y+1 + 1z+1=?1z+1=? |
| A. | -1 |
| B. | 1 |
| C. | 2 |
| D. | -2 |
| Answer» B. 1 | |
| 7. |
If a, b, c are non - zero a+1b=1a+1b=1 and b+1c=1,b+1c=1, then the value of abc is? |
| A. | -1 |
| B. | 3 |
| C. | -3 |
| D. | 1 |
| Answer» B. 3 | |
| 8. |
If x2 - 3x + 1 = 0, then the value of x2+x+1x+1x2x2+x+1x+1x2 is? |
| A. | 10 |
| B. | 2 |
| C. | 6 |
| D. | 8 |
| Answer» B. 2 | |
| 9. |
If x=3+22–√,x=3+22, then the value of x2 + 1x2 is?x2 + 1x2 is? |
| A. | 36 |
| B. | 30 |
| C. | 32 |
| D. | 34 |
| Answer» B. 30 | |
| 10. |
If x(3−2x)=3x,x(3−2x)=3x, then the value of x2 + 1x2x2 + 1x2 is? |
| A. | 21921921921921921921921922219191199219 |
| B. | 24924924924924924924924922249494499249 |
| C. | 31931931931931931931931933319191199319 |
| D. | 34934934934934934934934933349494499349 |
| Answer» B. 24924924924924924924924922249494499249 | |
| 11. |
a = √6 - √5, b = √5 - 2, c = 2 - √3 then point out the correct alternative among the four alternatives given below ? |
| A. | b u003c a u003c c |
| B. | a u003c c u003c b |
| C. | b u003c c u003c a |
| D. | a u003c b u003c c |
| Answer» B. a u003c c u003c b | |
| 12. |
If x=5−21−−√,x=5−21, then the value of x−−√32−2x−−−−−−√−21−−√x32−2x−21 is? |
| A. | 12–√(3–√−7–√)12(3−7)12–√(3–√−7–√)12(3−7)12–√(3–√−7–√)12–√(3–√−7–√)12–√(3–√−7–√)12–√(3–√−7–√)12–√12–√112–√2–√2–√2–√2–√222––√√(3–√−7–√)((3–√−7–√3–√−7–√3–√3–√333––√√−7–√7–√777––√√))12(3−7) |
| B. | 12–√(7–√−3–√)12(7−3)12–√(7–√−3–√)12(7−3)12–√(7–√−3–√)12–√(7–√−3–√)12–√(7–√−3–√)12–√(7–√−3–√)12–√12–√112–√2–√2–√2–√2–√222––√√(7–√−3–√)((7–√−3–√7–√−3–√7–√7–√777––√√−3–√3–√333––√√))12(7−3) |
| C. | 12–√(7–√+3–√)12(7+3)12–√(7–√+3–√)12(7+3)12–√(7–√+3–√)12–√(7–√+3–√)12–√(7–√+3–√)12–√(7–√+3–√)12–√12–√112–√2–√2–√2–√2–√222––√√(7–√+3–√)((7–√+3–√7–√+3–√7–√7–√777––√√+3–√3–√333––√√))12(7+3) |
| D. | 12–√(7+3–√)12(7+3)12–√(7+3–√)12(7+3)12–√(7+3–√)12–√(7+3–√)12–√(7+3–√)12–√(7+3–√)12–√12–√112–√2–√2–√2–√2–√222––√√(7+3–√)((7+3–√7+3–√7+3–√3–√333––√√))12(7+3) |
| Answer» B. 12–√(7–√−3–√)12(7−3)12–√(7–√−3–√)12(7−3)12–√(7–√−3–√)12–√(7–√−3–√)12–√(7–√−3–√)12–√(7–√−3–√)12–√12–√112–√2–√2–√2–√2–√222––√√(7–√−3–√)((7–√−3–√7–√−3–√7–√7–√777––√√−3–√3–√333––√√))12(7−3) | |
| 13. |
If 4x−3x4x−3x + 4y−3y4y−3y + 4z−3z=0,4z−3z=0, then the value of 1x+1y+1z1x+1y+1z is? |
| A. | 9 |
| B. | 3 |
| C. | 4 |
| D. | 6 |
| Answer» B. 3 | |
| 14. |
If xa=1a−1x,xa=1a−1x, then the value of x - x2 is? |
| A. | -a |
| B. | 1a1a1a1a1a1a1a1a1a1a11aa1a |
| C. | a |
| D. | −1a−1a−1a−1a−1a−1a−1a−1a−1a1a11aa−1a |
| Answer» B. 1a1a1a1a1a1a1a1a1a1a11aa1a | |
| 15. |
If a2 - 4a - 1 = 0 then value of a2+1a2+3a−3aa2+1a2+3a−3a is? |
| A. | 25 |
| B. | 30 |
| C. | 35 |
| D. | 40 |
| Answer» B. 30 | |
| 16. |
If xyx+y=a,xyx+y=a, xzx+z=bxzx+z=b and yzy+z=c,yzy+z=c, where a, b, c are all non - zero numbers, then x equals to? |
| A. | 2abcab+bc−ac2abcab+bc−ac2abcab+bc−ac2abcab+bc−ac2abcab+bc−ac2abcab+bc−ac2abcab+bc−ac2abcab+bc−ac2abcab+bc−ac2abcab+bc−ac2abc2abc2abc2abcab+bc−acab+bc−acab+bc−acab+bc−ac2abcab+bc−ac |
| B. | 2abcab−bc+ac2abcab−bc+ac2abcab−bc+ac2abcab−bc+ac2abcab−bc+ac2abcab−bc+ac2abcab−bc+ac2abcab−bc+ac2abcab−bc+ac2abcab−bc+ac2abc2abc2abc2abcab−bc+acab−bc+acab−bc+acab−bc+ac2abcab−bc+ac |
| C. | 2abcbc+ac−ab2abcbc+ac−ab2abcbc+ac−ab2abcbc+ac−ab2abcbc+ac−ab2abcbc+ac−ab2abcbc+ac−ab2abcbc+ac−ab2abcbc+ac−ab2abcbc+ac−ab2abc2abc2abc2abcbc+ac−abbc+ac−abbc+ac−abbc+ac−ab2abcbc+ac−ab |
| D. | 2abcab+bc+ac2abcab+bc+ac2abcab+bc+ac2abcab+bc+ac2abcab+bc+ac2abcab+bc+ac2abcab+bc+ac2abcab+bc+ac2abcab+bc+ac2abcab+bc+ac2abc2abc2abc2abcab+bc+acab+bc+acab+bc+acab+bc+ac2abcab+bc+ac |
| Answer» B. 2abcab−bc+ac2abcab−bc+ac2abcab−bc+ac2abcab−bc+ac2abcab−bc+ac2abcab−bc+ac2abcab−bc+ac2abcab−bc+ac2abcab−bc+ac2abcab−bc+ac2abc2abc2abc2abcab−bc+acab−bc+acab−bc+acab−bc+ac2abcab−bc+ac | |
| 17. |
If x+1x=99,x+1x=99, find the value of 100x2x2+2+102x100x2x2+2+102x is? |
| A. | 16161616161616161616116616 |
| B. | 12121212121212121212112212 |
| C. | 13131313131313131313113313 |
| D. | 14141414141414141414114414 |
| Answer» B. 12121212121212121212112212 | |
| 18. |
If x : y = 4 : 15 then the value of (x−yx+y)(x−yx+y) is? |
| A. | 111911191119111911191119111911191119111911111111191919191119 |
| B. | 191119111911191119111911191119111911191119191919111111111911 |
| C. | 4114114114114114114114114114114411111111411 |
| D. | 151915191519151915191519151915191519151915151515191919191519 |
| Answer» B. 191119111911191119111911191119111911191119191919111111111911 | |
| 19. |
x varies inversely as square of y. Given that y = 2 for x = 1, the value of x for y = 6 will equal to? |
| A. | 3 |
| B. | 9 |
| C. | 13131313131313131313113313 |
| D. | 19191919191919191919119919 |
| Answer» B. 9 | |
| 20. |
If (x - 3)2 + (y - 5)2 + (z - 4)2 = 0, then the value of x29 + y225 + z216x29 + y225 + z216 is? |
| A. | 12 |
| B. | 9 |
| C. | 3 |
| D. | 1 |
| Answer» B. 9 | |
| 21. |
If 4x3+2P=124x3+2P=12 for what value of P, x = 6? |
| A. | 6 |
| B. | 4 |
| C. | 2 |
| D. | 1 |
| Answer» B. 4 | |
| 22. |
The value of 4+33–√7+43–√ is?The value of 4+337+43 is? |
| A. | 5√3 - 8 |
| B. | 5√5 + 8 |
| C. | 8√3 + 5 |
| D. | 8√3 - 5 |
| Answer» B. 5√5 + 8 | |
| 23. |
If (x+1x)2=3,(x+1x)2=3, then the value of (x72 + x66 + x54 + x24 + x6 + 1) is? |
| A. | 0 |
| B. | 1 |
| C. | 84 |
| D. | 206 |
| Answer» B. 1 | |
| 24. |
If x = 3 + 2√2 and xy = 1, then the value of x2+3xy+y2x2−3xy+y2x2+3xy+y2x2−3xy+y2 is? |
| A. | 303130313031303130313031303130313031303130303030313131313031 |
| B. | 703170317031703170317031703170317031703170707070313131317031 |
| C. | 353135313531353135313531353135313531353135353535313131313531 |
| D. | 373137313731373137313731373137313731373137373737313131313731 |
| Answer» E. | |
| 25. |
If x is real, x+1x≠0x+1x≠0 and x3 + 1x3=0,x3 + 1x3=0, then the value of (x+1x)4is?(x+1x)4is? |
| A. | 4 |
| B. | 9 |
| C. | 16 |
| D. | 25 |
| Answer» B. 9 | |
| 26. |
If x+1x=3,x+1x=3, then the value of (x5+1x5)is?(x5+1x5)is? |
| A. | 322 |
| B. | 126 |
| C. | 123 |
| D. | 113 |
| Answer» B. 126 | |
| 27. |
If x+1x=2,x+1x=2, x ≠ 0, then the value of x2 + 1x2x2 + 1x2 is equal to? |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 4 |
| Answer» B. 2 | |
| 28. |
If x−1x=3,x−1x=3, then the value of x3−1x3is?x3−1x3is? |
| A. | 32 |
| B. | 36 |
| C. | 40 |
| D. | 49 |
| Answer» B. 36 | |
| 29. |
If the expression x2y2+tx+y24x2y2+tx+y24 is a perfect square, then the value of t is? |
| A. | ±1 |
| B. | ±2 |
| C. | 0 |
| D. | ±3 |
| Answer» B. ±2 | |
| 30. |
If p + q = 10 and pq = 5, then the numerical value of pq + qppq + qp will be? |
| A. | 16 |
| B. | 20 |
| C. | 22 |
| D. | 18 |
| Answer» B. 20 | |
| 31. |
If x=3–√+2–√,x=3+2, then the value of (x+1x)is?(x+1x)is? |
| A. | 22–√2222–√2222–√22–√22–√22–√2222–√2–√222––√√22 |
| B. | 23–√2323–√2323–√23–√23–√23–√2223–√3–√333––√√23 |
| C. | 2 |
| D. | 3 |
| Answer» B. 23–√2323–√2323–√23–√23–√23–√2223–√3–√333––√√23 | |
| 32. |
If a3b = abc = 180, a, b, c are positive integers, then the value of c is? |
| A. | 110 |
| B. | 1 |
| C. | 4 |
| D. | 25 |
| Answer» B. 1 | |
| 33. |
If n=7+43–√,n=7+43, then the value of n=7+43–√,n=7+43, |
| A. | 23–√2323–√2323–√23–√23–√23–√2223–√3–√333––√√23 |
| B. | 4 |
| C. | -4 |
| D. | −23–√−23−23–√−23−23–√−23–√−23–√−23–√−23–√3–√333––√√−23 |
| Answer» B. 4 | |
| 34. |
If 64x+1=644x,64x+1=644x, then the value of x is? |
| A. | 1 |
| B. | 0 |
| C. | 12121212121212121212112212 |
| D. | 2 |
| Answer» B. 0 | |
| 35. |
If a2 + b2 + c2 + 3 = 2(a + b + c) then the value of (a + b + c) is? |
| A. | 2 |
| B. | 3 |
| C. | 4 |
| D. | 5 |
| Answer» B. 3 | |
| 36. |
If x+14x=32,x+14x=32, find the value of 8x3 + 18x3=?8x3 + 18x3=? |
| A. | 18 |
| B. | 36 |
| C. | 24 |
| D. | 16 |
| Answer» B. 36 | |
| 37. |
If a = 2.361, b = 3.263, and c = 5.624, then the value of a3 + b3 - c3 + 3abc is? |
| A. | (p- q)(q - r)3 + (r - p)3 |
| B. | 3(p - q)(q - r)(r - p) |
| C. | 0 |
| D. | 1 |
| Answer» B. 3(p - q)(q - r)(r - p) | |
| 38. |
If x : y = 3 : 4, then the value of 5x−2y7x+2y=?5x−2y7x+2y=? |
| A. | 7257257257257257257257257257257725252525725 |
| B. | 7237237237237237237237237237237723232323723 |
| C. | 7297297297297297297297297297297729292929729 |
| D. | 7177177177177177177177177177177717171717717 |
| Answer» B. 7237237237237237237237237237237723232323723 | |
| 39. |
If p = 124, then the value of p(p2+3p+3)+1−−−−−−−−−−−−−−−√3=?p(p2+3p+3)+13=? |
| A. | 5 |
| B. | 7 |
| C. | 123 |
| D. | 125 |
| Answer» B. 7 | |
| 40. |
If x + y = z, then the expression x3 + y3 - z3 + 3xyz will be equal to? |
| A. | 0 |
| B. | 3xyz |
| C. | -3xyz |
| D. | z3 |
| Answer» B. 3xyz | |
| 41. |
If x+1x=2x+1x=2 and x is real, then the value of x17 + 1x19is?x17 + 1x19is? |
| A. | 1 |
| B. | 0 |
| C. | 2 |
| D. | -2 |
| Answer» B. 0 | |
| 42. |
If 3x+12x=5,3x+12x=5, then the value of 8x3 + 127x3is?8x3 + 127x3is? |
| A. | 11812118121181211812118121181211812118121181181181212112211812 |
| B. | 301027301027301027301027301027301027301027301027303030102710271010101027272727301027 |
| C. | 0 |
| D. | 1 |
| Answer» B. 301027301027301027301027301027301027301027301027303030102710271010101027272727301027 | |
| 43. |
If 0.03×0.3a−−−−−−−−−√0.03×0.3a = 0.3×0.3×b√,0.3×0.3×b, value of abis?abis? |
| A. | 0.009 |
| B. | 0.03 |
| C. | 0.9 |
| D. | 0.08 |
| Answer» B. 0.03 | |
| 44. |
If 43–√+52–√48−−√+18−−√=a+b6–√,If 43+5248+18=a+b6, then the value of a and b are respectively? |
| A. | 915,−415915,−415915,−415915,−415915,−415915,−415915,−415915,−4159159159915151515,−4154154415151515915,−415 |
| B. | 311,433311,433311,433311,433311,433311,433311,433311,4333113113311111111,4334334433333333311,433 |
| C. | 910,25910,25910,25910,25910,25910,25910,25910,259109109910101010,25252255910,25 |
| D. | 35,41535,41535,41535,41535,41535,41535,41535,41535353355,415415441515151535,415 |
| Answer» B. 311,433311,433311,433311,433311,433311,433311,433311,4333113113311111111,4334334433333333311,433 | |
| 45. |
If 1+x961−−−−−−−√=3231,If 1+x961=3231, then the value of x is? |
| A. | 63 |
| B. | 61 |
| C. | 65 |
| D. | 64 |
| Answer» B. 61 | |
| 46. |
If 1−x3100−−−−−−−√=35,If 1−x3100=35, then x equals to? |
| A. | 2 |
| B. | 4 |
| C. | 16 |
| D. | (136)13(136)13(136)13(136)13(136)13(136)13(136)13(136)13(136)13(136)13(136)13(136)13(136)(136)(136136136)13131313131133(136)13 |
| Answer» B. 4 | |
| 47. |
If x+1x=5,x+1x=5, then 2x3x2−5x+32x3x2−5x+3 is equal to? |
| A. | 5 |
| B. | 15151515151515151515115515 |
| C. | 3 |
| D. | 13131313131313131313113313 |
| Answer» B. 15151515151515151515115515 | |
| 48. |
If 2x−yx+2y=12,2x−yx+2y=12, then value of 3x−y3x+yis?3x−y3x+yis? |
| A. | 15151515151515151515115515 |
| B. | 35353535353535353535335535 |
| C. | 45454545454545454545445545 |
| D. | 1 |
| Answer» B. 35353535353535353535335535 | |
| 49. |
If ab=cd=ef=3,ab=cd=ef=3, then 2a2+3c2+4e22b2+3d2+4f22a2+3c2+4e22b2+3d2+4f2 = ? |
| A. | 2 |
| B. | 3 |
| C. | 4 |
| D. | 9 |
| Answer» B. 3 | |
| 50. |
If a+1a+1=0(a≠0),a+1a+1=0(a≠0), then the value of (a4−a)is?(a4−a)is? |
| A. | 0 |
| B. | 1 |
| C. | 2 |
| D. | -1 |
| Answer» B. 1 | |