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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. |
x2 + y2 + z2 = 2(x + z - 1), then the value of x3 + y3 + z3 = ? |
| A. | -1 |
| B. | 2 |
| C. | 0 |
| D. | 1 |
| Answer» B. 2 | |
| 2. |
If x+1x=1,x+1x=1, then the value of 2x2−x+2=?2x2−x+2=? |
| A. | 23232323232323232323223323 |
| B. | 2 |
| C. | 1 |
| D. | 4 |
| Answer» B. 2 | |
| 3. |
If 5x + 9y = 5 and 125x2 + 729y2 = 120, then the value of the product of x and y is? |
| A. | 45 |
| B. | 19191919191919191919119919 |
| C. | 1135113511351135113511351135113511351135111351351351351135 |
| D. | 135 |
| Answer» B. 19191919191919191919119919 | |
| 4. |
Simplified value of [(1+110+110)(1+110+110)−(1−110+110)(1−110+110)][(1+110+110)(1+110+110)−(1−110+110)(1−110+110)] ÷ [(1+110+110)+(1−110+110)]=?[(1+110+110)+(1−110+110)]=? |
| A. | 201012010120101201012010120101201012010120101201012020202010110110110120101 |
| B. | 100101100101100101100101100101100101100101100101100101100101100100100100101101101101100101 |
| C. | 2 |
| D. | 901019010190101901019010190101901019010190101901019090909010110110110190101 |
| Answer» B. 100101100101100101100101100101100101100101100101100101100101100100100100101101101101100101 | |
| 5. |
The value of 4x3−x(2x+1)(6x−3)4x3−x(2x+1)(6x−3) when x = 9999 is? |
| A. | 1111 |
| B. | 2222 |
| C. | 3333 |
| D. | 6666 |
| Answer» B. 2222 | |
| 6. |
If t2 - 4t + 1 = 0, then the value of t3+1t3t3+1t3 is? |
| A. | 44 |
| B. | 48 |
| C. | 52 |
| D. | 64 |
| Answer» B. 48 | |
| 7. |
If x=p+1px=p+1p and y=p−1py=p−1p then the value of x4 - 2x2y2 + y4 = ? |
| A. | 24 |
| B. | 4 |
| C. | 16 |
| D. | 8 |
| Answer» B. 4 | |
| 8. |
The value of 1a2+ax+x21a2+ax+x2 - 1a2−ax+x21a2−ax+x2 + 1a4+a2x2+x41a4+a2x2+x4 is? |
| A. | 2 |
| B. | 1 |
| C. | -1 |
| D. | 0 |
| Answer» B. 1 | |
| 9. |
If x(x - 3) = -1, then the value of x3(x3 - 18) is? |
| A. | -1 |
| B. | 2 |
| C. | 1 |
| D. | 0 |
| Answer» B. 2 | |
| 10. |
If x = 11, then the value of x5 - 12x4 + 12x3 - 12x2 + 12x - 1 is? |
| A. | 5 |
| B. | 10 |
| C. | 15 |
| D. | 20 |
| Answer» B. 10 | |
| 11. |
If a + b + c = 0, then the value of (a + b - c)2 + (b + c - a)2 + (c + a - b)2 is? |
| A. | 0 |
| B. | 8abc |
| C. | 4(a2 + b2 + c2) |
| D. | 4(ab + bc + ca) |
| Answer» B. 8abc | |
| 12. |
If x+1x=3,x+1x=3, then the value of 3x2−4x+3x2−x+13x2−4x+3x2−x+1 is? |
| A. | 43434343434343434343443343 |
| B. | 32323232323232323232332232 |
| C. | 52525252525252525252552252 |
| D. | 53535353535353535353553353 |
| Answer» B. 32323232323232323232332232 | |
| 13. |
If x = 2015, y = 2014, z = 2013, then the value of x2 + y2 + z2 - xy - yz - zx is? |
| A. | 3 |
| B. | 4 |
| C. | 6 |
| D. | 2 |
| Answer» B. 4 | |
| 14. |
If x2 - 3x + 1 = 0, then the value of x6+x4+x2+1x3x6+x4+x2+1x3 will be? |
| A. | 18 |
| B. | 15 |
| C. | 21 |
| D. | 30 |
| Answer» B. 15 | |
| 15. |
If x = -2k and y = 1 - 3k, then for what value of k, will be x = y? |
| A. | 0 |
| B. | 1 |
| C. | -1 |
| D. | 2 |
| Answer» B. 1 | |
| 16. |
If x2+1x2=66,x2+1x2=66, then the value of x2−1+2xxx2−1+2xx = ? |
| A. | ±8 |
| B. | 10, -6 |
| C. | 6, -10 |
| D. | ±4 |
| Answer» B. 10, -6 | |
| 17. |
If papa + qbqb + rcrc = 1 and apap + bqbq + crcr = 0 where p, q, r and a, b, c are non - zero, then value of p2a2p2a2 + q2b2q2b2 + r2c2r2c2 = ? |
| A. | -1 |
| B. | 0 |
| C. | 1 |
| D. | 2 |
| Answer» B. 0 | |
| 18. |
If x=5–√+2,x=5+2, then the value of 2x2−3x−23x2−4x−32x2−3x−23x2−4x−3 is equal to? |
| A. | 0.1785 |
| B. | 0.525 |
| C. | 0.625 |
| D. | 0.785 |
| Answer» B. 0.525 | |
| 19. |
If x is a rational number and (x+1)3−(x−1)3(x+1)2−(x−1)2(x+1)3−(x−1)3(x+1)2−(x−1)2 = 2, then the sum of numerator and denominator of x is? |
| A. | 3 |
| B. | 4 |
| C. | 5 |
| D. | 7 |
| Answer» B. 4 | |
| 20. |
If a2 + a + 1 = 0, then the value of a9 is? |
| A. | 2 |
| B. | 3 |
| C. | 1 |
| D. | 0 |
| Answer» B. 3 | |
| 21. |
If a13+b13+c13=0,a13+b13+c13=0, then a relation among a, b, c is? |
| A. | a + b + c = 0 |
| B. | (a + b + c)3 = 27abc |
| C. | a + b + c = 3abc |
| D. | a3 + b3 + c3 = 0 |
| Answer» B. (a + b + c)3 = 27abc | |
| 22. |
If a + b + c + d = 4, then find 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. | 5 |
| C. | 1 |
| D. | 4 |
| Answer» B. 5 | |
| 23. |
If (2+3–√)a(2+3)a = (2−3–√)b(2−3)b = 1 then the value of 1a1a + 1b1b is? |
| A. | 1 |
| B. | 2 |
| C. | 22–√2222–√2222–√22–√22–√22–√2222–√2–√222––√√22 |
| D. | 4 |
| Answer» B. 2 | |
| 24. |
If x + y = 18, then the value of x2−1+2xxx2−1+2xx = ? |
| A. | ±8 |
| B. | 10, -6 |
| C. | 6, -10 |
| D. | ±4 |
| Answer» B. 10, -6 | |
| 25. |
If xx = 3–√−13–√3−13 and yy = 3–√+13–√3+13 then the value of x2y+y2xx2y+y2x is? |
| A. | 3–√33–√33–√3–√3–√3–√3–√3–√333––√√3 |
| B. | 33–√3333–√3333–√33–√33–√33–√3333–√3–√333––√√33 |
| C. | 163–√163163–√163163–√163–√163–√163–√1616163–√3–√333––√√163 |
| D. | 23–√2323–√2323–√23–√23–√23–√2223–√3–√333––√√23 |
| Answer» B. 33–√3333–√3333–√33–√33–√33–√3333–√3–√333––√√33 | |
| 26. |
If a+1ba+1b = b+1cb+1c = c+1ac+1a (a≠b≠c)(a≠b≠c) then the value of abc is? |
| A. | ±1±1±1±1±1±1±1±1±111±1 |
| B. | ±2±2±2±2±2±2±2±2±222±2 |
| C. | 0 |
| D. | ±12±12±12±12±12±12±12±12±12121122±12 |
| Answer» B. ±2±2±2±2±2±2±2±2±222±2 | |
| 27. |
If a(2+3–√)a(2+3) = b(2−3–√)b(2−3) = 1, then the value of 1a2+11a2+1 + 1b2+11b2+1 = ? |
| A. | -1 |
| B. | 1 |
| C. | 4 |
| D. | 9 |
| Answer» B. 1 | |
| 28. |
If b−cab−ca + a+cba+cb + a−bca−bc = 1 and a - b + c ≠ 0 then which one of the following relations is true ? |
| A. | 1c=1a+1b1c=1a+1b1c=1a+1b1c=1a+1b1c=1a+1b1c=1a+1b1c=1a+1b1c=1a+1b1c1c11cc=1a1a11aa+1b1b11bb1c=1a+1b |
| B. | 1a=1b+1c1a=1b+1c1a=1b+1c1a=1b+1c1a=1b+1c1a=1b+1c1a=1b+1c1a=1b+1c1a1a11aa=1b1b11bb+1c1c11cc1a=1b+1c |
| C. | 1b=1a−1c1b=1a−1c1b=1a−1c1b=1a−1c1b=1a−1c1b=1a−1c1b=1a−1c1b=1a−1c1b1b11bb=1a1a11aa−1c1c11cc1b=1a−1c |
| D. | 1b=1a+1c1b=1a+1c1b=1a+1c1b=1a+1c1b=1a+1c1b=1a+1c1b=1a+1c1b=1a+1c1b1b11bb=1a1a11aa+1c1c11cc1b=1a+1c |
| Answer» B. 1a=1b+1c1a=1b+1c1a=1b+1c1a=1b+1c1a=1b+1c1a=1b+1c1a=1b+1c1a=1b+1c1a1a11aa=1b1b11bb+1c1c11cc1a=1b+1c | |
| 29. |
If a=2+3–√,a=2+3, then the value of (a2+1a2)=?(a2+1a2)=? |
| A. | 12 |
| B. | 14 |
| C. | 16 |
| D. | 10 |
| Answer» B. 14 | |
| 30. |
If x3+3xx3+3x = 4(a3+b3)4(a3+b3) and 3x+1x33x+1x3 = 4(a3−b3),4(a3−b3), then a2 - b2 is equal to? |
| A. | 4 |
| B. | 0 |
| C. | 1 |
| D. | 2 |
| Answer» B. 0 | |
| 31. |
If a, b, c are positive and a + b + c = 1, then the least value of 1a1a + 1b1b + 1c1c is? |
| A. | 9 |
| B. | 5 |
| C. | 3 |
| D. | 1 |
| Answer» B. 5 | |
| 32. |
For what value of k the expression p+14+p–√+k2p+14+p+k2 is perfect square? |
| A. | 0 |
| B. | ±14±14±14±14±14±14±14±14±14141144±14 |
| C. | ±18±18±18±18±18±18±18±18±18181188±18 |
| D. | ±12±12±12±12±12±12±12±12±12121122±12 |
| Answer» B. ±14±14±14±14±14±14±14±14±14141144±14 | |
| 33. |
If the equation 2x - 7x + 12 = 0 has two roots α and β, then the value of αβ + βαis?αβ + βαis? |
| A. | 72727272727272727272772272 |
| B. | 1241241241241241241241241241241124242424124 |
| C. | 7247247247247247247247247247247724242424724 |
| D. | 972497249724972497249724972497249724972497979797242424249724 |
| Answer» B. 1241241241241241241241241241241124242424124 | |
| 34. |
The simplest form of the expression p2−p2p3+p2p2−p2p3+p2 + p2−1p2+3pp2−1p2+3p + p2p+1p2p+1 = ? |
| A. | 2p3 |
| B. | 12p212p212p212p212p212p212p212p212p212p2112p22p22p22p2p2p2p2pp2212p2 |
| C. | p + 3 |
| D. | 1p+31p+31p+31p+31p+31p+31p+31p+31p+31p+311p+3p+3p+3p+31p+3 |
| Answer» B. 12p212p212p212p212p212p212p212p212p212p2112p22p22p22p2p2p2p2pp2212p2 | |
| 35. |
If x+1x=2,x+1x=2, then the value of (x2+1x2)(x3+1x3)(x2+1x2)(x3+1x3) is? |
| A. | 20 |
| B. | 4 |
| C. | 8 |
| D. | 16 |
| Answer» B. 4 | |
| 36. |
If x+1x+1=1,x+1x+1=1, then (x+1)5(x+1)5 + 1(x+1)51(x+1)5 equals? |
| A. | 1 |
| B. | 2 |
| C. | 4 |
| D. | 8 |
| Answer» B. 2 | |
| 37. |
If 14–√3+2–√3+1143+23+1 = a4–√3a43 + b2–√3b23 + c and a, b, c are rational numbers then a + b + c is equal to? |
| A. | 0 |
| B. | 1 |
| C. | 2 |
| D. | 3 |
| Answer» B. 1 | |
| 38. |
If x = -1, then the value of 1x991x99 + 1x981x98 + 1x971x97 + 1x961x96 + 1x951x95 + 1x941x94 + 1x1x - 1 is? |
| A. | 1 |
| B. | 0 |
| C. | -2 |
| D. | 1 |
| Answer» B. 0 | |
| 39. |
If a=b2b−a,a=b2b−a, then the value of a3 + b3 is? |
| A. | 6ab |
| B. | 0 |
| C. | 1 |
| D. | 2 |
| Answer» B. 0 | |
| 40. |
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» B. 667 | |
| 41. |
If (x - a)(x - b) = 1 and a - b + 5 = 0, then the value of (x−a)3(x−a)3 - 1(x−a)3is?1(x−a)3is? |
| A. | -125 |
| B. | 1 |
| C. | 125 |
| D. | 140 |
| Answer» B. 1 | |
| 42. |
If xu003e1xu003e1 and x2+1x2=83,x2+1x2=83, then the x3−1x3is?x3−1x3is? |
| A. | 764 |
| B. | 750 |
| C. | 756 |
| D. | 760 |
| Answer» B. 750 | |
| 43. |
If (a+1a)2=3(a+1a)2=3 then a3+1a3=?a3+1a3=? |
| A. | 23–√2323–√2323–√23–√23–√23–√23–√3–√333––√√23 |
| B. | 2 |
| C. | 33–√3333–√3333–√33–√33–√33–√33–√3–√333––√√33 |
| D. | 0 |
| Answer» B. 2 | |
| 44. |
If 5x2x2+5x+1=13,5x2x2+5x+1=13, then the value of (x+12x)=?(x+12x)=? |
| A. | 15 |
| B. | 10 |
| C. | 20 |
| D. | 5 |
| Answer» B. 10 | |
| 45. |
If 2x+2x=3,2x+2x=3, then the value of x3+1x3+2x3+1x3+2 is? |
| A. | −98−98−98−98−98−98−98−98−98989988−98 |
| B. | −258−258−258−258−258−258−258−258−2582582525252588−258 |
| C. | 78787878787878787878778878 |
| D. | 11 |
| Answer» B. −258−258−258−258−258−258−258−258−2582582525252588−258 | |
| 46. |
IF a + b = 1, c + d = 1 and a - b = dc,dc, then the value of c2 + d2 = ? |
| A. | ababababababababababaabbab |
| B. | bababababababababababbaaba |
| C. | 1 |
| D. | -1 |
| Answer» B. bababababababababababbaaba | |
| 47. |
If x = 3t, y = 1212(t + 1), then the value of t for which x = 2y is? |
| A. | 1 |
| B. | 12121212121212121212112212 |
| C. | -1 |
| D. | 23232323232323232323223323 |
| Answer» B. 12121212121212121212112212 | |
| 48. |
If x≠0,x≠0, y≠0y≠0 and z≠0z≠0 and 1x21x2 + 1y21y2 + 1z21z2 = 1xy1xy + 1yz1yz + 1zx1zx then the relation among x, y, z is? |
| A. | x + y + y = 0 |
| B. | x + y = z |
| C. | 1x+1y+1z=01x+1y+1z=01x+1y+1z=01x+1y+1z=01x+1y+1z=01x+1y+1z=01x+1y+1z=01x+1y+1z=01x1x11xx+1y1y11yy+1z1z11zz=01x+1y+1z=0 |
| D. | x = y = z |
| Answer» B. x + y = z | |
| 49. |
If xy + yz + zx = 0, then (1x2−yz+1y2−zx+1z2−xy)(1x2−yz+1y2−zx+1z2−xy) (x,y,z≠0)=?(x,y,z≠0)=? |
| A. | 3 |
| B. | 1 |
| C. | x + y + z |
| D. | 0 |
| Answer» B. 1 | |
| 50. |
If a2 + b2 + 4c2 = 2(a + b - 2c) - 3 and a, b, c are real, then the value of (a2 + b2 + c2) is? |
| A. | 3 |
| B. | 31431431431431431431431433314141144314 |
| C. | 2 |
| D. | 21421421421421421421421422214141144214 |
| Answer» B. 31431431431431431431431433314141144314 | |