MCQOPTIONS
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MCQOPTIONS
This section includes 92 Mcqs, each offering curated multiple-choice questions to sharpen your General Aptitude knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
1 + 1 + 1 = ? 1 + x(b - a) + x(c - a) 1 + x(a - b) + x(c - b) 1 + x(b - c) + x(a - c) |
| A. | 0 |
| B. | 1 |
| C. | xa - b - c |
| D. | None of these |
| Answer» C. xa - b - c | |
| 2. |
If 3(x - y) = 27 and 3(x + y) = 243, then x is equal to: |
| A. | 0 |
| B. | 2 |
| C. | 4 |
| D. | 6 |
| Answer» D. 6 | |
| 3. |
xb (b + c - a) . xc (c + a - b) . xa (a + b - c) = ? xc xa xb |
| A. | xabc |
| B. | 1 |
| C. | xab + bc + ca |
| D. | xa + b + c |
| Answer» C. xab + bc + ca | |
| 4. |
1 + 1 = ? 1 + a(n - m) 1 + a(m - n) |
| A. | 0 |
| B. | 1 2 |
| C. | 1 |
| D. | am + n |
| Answer» D. am + n | |
| 5. |
If x = 3 + 22, then the value of x - 1 is: x |
| A. | 1 |
| B. | 2 |
| C. | 22 |
| D. | 33 |
| Answer» C. 22 | |
| 6. |
(243)n/5 x 32n + 1 = ? 9n x 3n - 1 |
| A. | 1 |
| B. | 2 |
| C. | 9 |
| D. | 3n |
| Answer» D. 3n | |
| 7. |
If m and n are whole numbers such that mn = 121, the value of (m - 1)n + 1 is: |
| A. | 1 |
| B. | 10 |
| C. | 121 |
| D. | 1000 |
| Answer» E. | |
| 8. |
If a x - 1 = b x - 3 , then the value of x is: b a |
| A. | 1 2 |
| B. | 1 |
| C. | 2 |
| D. | 7 2 |
| Answer» D. 7 2 | |
| 9. |
(25)7.5 x (5)2.5 ÷ (125)1.5 = 5? |
| A. | 8.5 |
| B. | 13 |
| C. | 16 |
| D. | 17.5 |
| E. | None of these |
| Answer» C. 16 | |
| 10. |
1 + (3 + 1)(32 + 1)(34 + 1)(38 + 1)(316 + 1)(332 + 1) is equal to =? |
| A. | $\frac{{{3^{64}} - 1}}{2}$$ |
| B. | $\frac{{{3^{64}} + 1}}{2}$$ |
| C. | 64 - 1 |
| D. | 64 + 1 |
| Answer» C. 64 - 1 | |
| 11. |
Given that 100.48 = x, 100.70 = y and xz = y2 then the value of z is close to = ? |
| A. | 0.45 |
| B. | 0.88 |
| C. | 0.9 |
| D. | 0.7 |
| Answer» D. 0.7 | |
| 12. |
If $$\frac{{4 + 3\sqrt 3 }}{{\sqrt {7 + 4\sqrt 3 } }} = A + \sqrt B {\text{,}}$$then B - A is = ? |
| A. | 13 |
| B. | ${\text{2}}\sqrt {13} $$ |
| C. | 3 |
| D. | ${\text{3}}\sqrt 3- \sqrt 7 $$ |
| Answer» D. ${\text{3}}\sqrt 3- \sqrt 7 $$ | |
| 13. |
Evaluate : $$\sqrt {20}+ \sqrt {12}+ \root 3 \of {729} \,\, - $$$$\frac{4}{{\sqrt 5- \sqrt 3 }} \,- $$$$\sqrt {81}= ?$$ |
| A. | $\sqrt 2 $$ |
| B. | $\sqrt 3 $$ |
| C. | |
| Answer» D. | |
| 14. |
The simplification value of $$\left( {\sqrt 3+ 1} \right)$$$$\left( {10 + \sqrt {12} } \right)$$$$\left( {\sqrt {12}- 2} \right)$$$$\left( {5 - \sqrt 3 } \right)$$is = ? |
| A. | 6 |
| B. | 8 |
| C. | 76 |
| D. | 32 |
| Answer» D. 32 | |
| 15. |
Find the simplest value of $${\text{2}}\sqrt {50} $$+ $$\sqrt {18} $$- $$\sqrt {72} $$ = ?(given $$\sqrt 2 $$ = 1.414) |
| A. | 0.242 |
| B. | 0.898 |
| C. | 0.6312 |
| D. | 0.484 |
| Answer» C. 0.6312 | |
| 16. |
$$\sqrt {6 - 4\sqrt 3+ \sqrt {16 - 8\sqrt 3 } } $$is equal to = ? |
| A. | ${\text{1}} - \sqrt 3 $$ |
| B. | $\sqrt 3- 1$$ |
| C. | ${\text{2}}\left( {2 - \sqrt 3 } \right)$$ |
| D. | ${\text{2}}\left( {2 + \sqrt 3 } \right)$$ |
| Answer» C. ${\text{2}}\left( {2 - \sqrt 3 } \right)$$ | |
| 17. |
$$\sqrt {8 - 2\sqrt {15} } $$is equal to = ? |
| A. | ${\text{3}} - \sqrt 5 $$ |
| B. | $\sqrt 5- \sqrt 3 $$ |
| C. | ${\text{5}} - \sqrt 3 $$ |
| D. | $\sqrt 5+ \sqrt 3 $$ |
| Answer» C. ${\text{5}} - \sqrt 3 $$ | |
| 18. |
$$\left( {\frac{{1 + \sqrt 2 }}{{\sqrt 5+ \sqrt 3 }} + \frac{{1 - \sqrt 2 }}{{\sqrt 5- \sqrt 3 }}} \right)$$simplifies to = ? |
| A. | $\sqrt 5+ \sqrt 6 $$ |
| B. | ${\text{2}}\sqrt 5+ \sqrt 6 $$ |
| C. | $\sqrt 5- \sqrt 6 $$ |
| D. | ${\text{2}}\sqrt 5- 3\sqrt 6 $$ |
| Answer» D. ${\text{2}}\sqrt 5- 3\sqrt 6 $$ | |
| 19. |
If 3x+y = 81 and 81x-y = 3, then the value of $$\frac{x}{y}$$ is = ? |
| A. | $\frac{{15}}{{17}}$$ |
| B. | $\frac{{17}}{{30}}$$ |
| C. | $\frac{{15}}{{34}}$$ |
| D. | $\frac{{17}}{{15}}$$ |
| Answer» E. | |
| 20. |
$$\left( {4 + \sqrt 7 } \right),$$expressed as a perfect square, is equal to = ? |
| A. | ${\left( {2 + \sqrt 7 } \right)^2}$$ |
| B. | ${\left( {\frac{{\sqrt 7 }}{2} + \frac{1}{2}} \right)^2}$$ |
| C. | $\left\{ {\frac{1}{2}{{\left( {\sqrt 7+ 1} \right)}^2}} \right\}$$ |
| D. | $\left( {\sqrt 3+ \sqrt 4 } \right)$$ |
| Answer» D. $\left( {\sqrt 3+ \sqrt 4 } \right)$$ | |
| 21. |
If $$x = 5 + 2\sqrt 6 {\text{,}}$$then $$\sqrt x- \frac{1}{{\sqrt x }}$$= is? |
| A. | ${\text{2}}\sqrt 2 $$ |
| B. | ${\text{2}}\sqrt 3 $$ |
| C. | $\sqrt 3+ \sqrt 2 $$ |
| D. | $\sqrt 3- \sqrt 2 $$ |
| Answer» B. ${\text{2}}\sqrt 3 $$ | |
| 22. |
The value of $$\frac{{{2^{n - 1}} - {2^n}}}{{{2^{n + 4}} + {2^{n + 1}}}}{\text{is=?}}$$ |
| A. | $ - \frac{1}{{36}}$$ |
| B. | $\frac{2}{3}$$ |
| C. | $\frac{1}{{13}}$$ |
| D. | $\frac{5}{{13}}$$ |
| Answer» B. $\frac{2}{3}$$ | |
| 23. |
$$\frac{{256 \times 256 - 144 \times 144}}{{112}}$$is equal to = ? |
| A. | 20 |
| B. | 00 |
| C. | 60 |
| D. | 20 |
| Answer» C. 60 | |
| 24. |
The value of $$\frac{{{{\left( {243} \right)}^{0.13}} \times {{\left( {243} \right)}^{0.07}}}}{{{{\left( 7 \right)}^{0.25}} \times {{\left( {49} \right)}^{0.075}} \times {{\left( {343} \right)}^{0.2}}}}$$is = ? |
| A. | $\frac{3}{7}$$ |
| B. | $\frac{7}{3}$$ |
| C. | ${\text{1}}\frac{3}{7}$$ |
| D. | ${\text{2}}\frac{2}{7}$$ |
| Answer» B. $\frac{7}{3}$$ | |
| 25. |
If 3(x+y) = 81 and 81(x-y) = 3, then the value of x is = ? |
| A. | 2 |
| B. | $\frac{{15}}{8}$$ |
| C. | $\frac{{17}}{8}$$ |
| D. | 9 |
| Answer» D. 9 | |
| 26. |
$${8^{2.4}} \times {2^{3.7}} \div {\left( {16} \right)^{1.3}} = {2^?}$$ |
| A. | 0.8 |
| B. | 0.7 |
| C. | 0.8 |
| D. | 0.1 |
| E. | one of this |
| Answer» C. 0.8 | |
| 27. |
$${25^{2.7}} \times {5^{4.2}} \div {5^{5.4}} = {25^?}$$ |
| A. | 0.6 |
| B. | 0.7 |
| C. | 0.2 |
| D. | 0.6 |
| E. | one of these |
| Answer» F. | |
| 28. |
The greatest of $$\sqrt 2 ,$$$$\root 6 \of 3 ,$$$$\root 3 \of 4 ,$$$$\root 4 \of 5 $$is = ? |
| A. | $\sqrt 2 $$ |
| B. | $\root 3 \of 4 $$ |
| C. | $\root 4 \of 5 $$ |
| D. | $\root 6 \of 3 $$ |
| Answer» C. $\root 4 \of 5 $$ | |
| 29. |
The greatest among the numbers $${\left( {2.89} \right)^{0.5}},$$$$2 - {\left( {0.5} \right)^2},$$$$1 + \frac{{0.5}}{{1 - \frac{1}{2}}},$$$$\sqrt 3 $$is = ? |
| A. | ${\left( {2.89} \right)^{0.5}}$$ |
| B. | ${\text{2}} - {\left( {0.5} \right)^2}$$ |
| C. | $1 + \frac{{0.5}}{{1 - \frac{1}{2}}}$$ |
| D. | $\sqrt 3 $$ |
| Answer» D. $\sqrt 3 $$ | |
| 30. |
The greatest one of $$\sqrt 2 ,$$$$\root 3 \of 3 ,$$$$\root 6 \of 6 ,$$$$\root 5 \of 5 $$is = ? |
| A. | $\sqrt 2 $$ |
| B. | $\root 3 \of 3 $$ |
| C. | $\root 6 \of 6 $$ |
| D. | $\root 5 \of 5 $$ |
| Answer» C. $\root 6 \of 6 $$ | |
| 31. |
The least one among $${\text{2}}\sqrt 3 {\text{,}}$$$${\text{2}}\root 4 \of 5 {\text{,}}$$$$\sqrt 8 {\text{,}}$$$${\text{3}}\sqrt 2 $$is = ? |
| A. | ${\text{2}}\sqrt 3 $$ |
| B. | ${\text{2}}\root 4 \of 5 $$ |
| C. | $\sqrt 8 $$ |
| D. | ${\text{3}}\sqrt 2 $$ |
| Answer» D. ${\text{3}}\sqrt 2 $$ | |
| 32. |
$$2\root 3 \of {32}- 3\root 3 \of 4+ \root 3 \of {500}= ?$$ |
| A. | $4\root 3 \of 6 $$ |
| B. | $3\sqrt {24} $$ |
| C. | $6\root 3 \of 4 $$ |
| D. | 16 |
| Answer» D. 16 | |
| 33. |
21? × 216.5 = 2112.4 |
| A. | 8.9 |
| B. | 0.4 |
| C. | 0.9 |
| D. | 3.4 |
| Answer» D. 3.4 | |
| 34. |
The value of $$\frac{1}{{1 + \sqrt 2+ \sqrt 3 }} + $$$$\frac{1}{{1 - \sqrt 2+ \sqrt 3 }}$$is = ? |
| A. | $\sqrt 2 $$ |
| B. | $\sqrt 3 $$ |
| C. | |
| Answer» D. | |
| 35. |
The quotient when 10100 is divided by 575 is |
| A. | 25 × 1075 |
| B. | 025 |
| C. | 75 |
| D. | 75 × 1025 |
| Answer» E. | |
| 36. |
The exponential form of$$\sqrt {\sqrt 2\times \sqrt 3 } {\text{ is=?}}$$ |
| A. | ${{\text{6}}^{ - \frac{1}{2}}}$$ |
| B. | ${{\text{6}}^{\frac{1}{2}}}$$ |
| C. | ${{\text{6}}^{\frac{1}{4}}}$$ |
| Answer» D. | |
| 37. |
$${2^{3.6}} \times {4^{3.6}} \times {4^{3.6}} \times {(32)^{2.3}} = $$$${\left( {32} \right)^?}$$ |
| A. | 0.9 |
| B. | 0.7 |
| C. | 0.5 |
| D. | 3.1 |
| E. | one of these |
| Answer» B. 0.7 | |
| 38. |
Evaluate: $$16\sqrt {\frac{3}{4}}- 9\sqrt {\frac{4}{3}} $$if $$\sqrt {12} $$= 3.46 |
| A. | 0.46 |
| B. | 0.38 |
| C. | 3.84 |
| D. | 4.22 |
| Answer» B. 0.38 | |
| 39. |
If $$\sqrt 3 $$ = 1.732 is given, then the value of $$\frac{{2 + \sqrt 3 }}{{2 - \sqrt 3 }}$$is = ? |
| A. | 1.732 |
| B. | 3.928 |
| C. | 2.928 |
| D. | 3.925 |
| Answer» C. 2.928 | |
| 40. |
$$\left[ {\frac{{\sqrt 3+ \sqrt 2 }}{{\sqrt 3- \sqrt 2 }} - \frac{{\sqrt 3- \sqrt 2 }}{{\sqrt 3+ \sqrt 2 }}} \right]$$simplifies to = ? |
| A. | ${\text{2}}\sqrt 6 $$ |
| B. | ${\text{4}}\sqrt 6 $$ |
| C. | ${\text{2}}\sqrt 3 $$ |
| D. | ${\text{3}}\sqrt 2 $$ |
| Answer» C. ${\text{2}}\sqrt 3 $$ | |
| 41. |
$${6^{1.2}} \times {36^?} \times {30^{2.4}} \times {25^{1.3}} = {30^5}$$ |
| A. | 0.1 |
| B. | 0.7 |
| C. | 0.4 |
| D. | 0.6 |
| E. | one of these |
| Answer» C. 0.4 | |
| 42. |
What are the values of x and y that satisfy the equation, $${{\text{2}}^{0.7x}}{\text{.}}{{\text{3}}^{ - 1.25y}}{\text{ = }}\frac{{8\sqrt 6 }}{{27}}{\text{ ?}}$$ |
| A. | = 2.5, y = 6 |
| B. | = 3, y = 5 |
| C. | = 3, y = 4 |
| D. | = 5, y = 2 |
| Answer» E. | |
| 43. |
Given 2x = 8y+1 and 9y = 3x-9 , then value of x + y is = ? |
| A. | 8 |
| B. | 1 |
| C. | 4 |
| D. | 7 |
| Answer» E. | |
| 44. |
$$\frac{{{6^2} + {7^2} + {8^2} + {9^2} + {{10}^2}}}{{\sqrt {7 + 4\sqrt 3 }- \sqrt {4 + 2\sqrt 3 } }}$$is equal to = ? |
| A. | 30 |
| B. | 55 |
| C. | 05 |
| D. | 66 |
| Answer» B. 55 | |
| 45. |
If 32x-y = 3x+y = $$\sqrt {27} {\text{,}}$$the value of y is = ? |
| A. | $\frac{1}{2}$$ |
| B. | $\frac{1}{4}$$ |
| C. | $\frac{3}{2}$$ |
| D. | $\frac{3}{4}$$ |
| Answer» B. $\frac{1}{4}$$ | |
| 46. |
The value of $${\left( {3 + 2\sqrt 2 } \right)^{ - 3}}$$$$ + {\left( {3 - 2\sqrt 2 } \right)^{ - 3}} = ?$$ |
| A. | 89 |
| B. | 80 |
| C. | 08 |
| D. | 98 |
| Answer» E. | |
| 47. |
The value of $${\left( {256} \right)^{\frac{5}{4}}}$$is = ? |
| A. | 12 |
| B. | 84 |
| C. | 024 |
| D. | 032 |
| Answer» D. 032 | |
| 48. |
$$\frac{{{3^0} + {3^{ - 1}}}}{{{3^{ - 1}} - {3^0}}}$$is simplified to = ? |
| A. | 2 |
| B. | 1 |
| Answer» B. 1 | |
| 49. |
The value of $$\frac{1}{{\sqrt {3.25}+ \sqrt {2.25} }}$$$$ +\, \frac{1}{{\sqrt {4.25}+ \sqrt {3.25} }}$$$$ +\, \frac{1}{{\sqrt {5.25}+ \sqrt {4.25} }}$$$$ +\, \frac{1}{{\sqrt {6.25}+ \sqrt {5.25} }}$$ is = ? |
| A. | 0 |
| B. | 0.25 |
| C. | 0.5 |
| D. | 0.25 |
| Answer» B. 0.25 | |
| 50. |
The value of $${\text{2}}{{\text{7}}^{ - \frac{2}{3}}}$$ lies between = ? |
| A. | and 1 |
| B. | and 2 |
| C. | and 3 |
| D. | and 4 |
| Answer» B. and 2 | |