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. |
What are fractions with different denominators called? |
| A. | Like |
| B. | Unlike |
| C. | Proper |
| D. | Improper |
| Answer» C. Proper | |
| 2. |
Rakesh had some amla candies. He gave two third of the total candies to Rajan. One fifth to Sumitra and the remaining candies were given to Prasad. If Rakesh had 90 candies, then how many candies were given to Prasad? |
| A. | 9 |
| B. | 13 |
| C. | 14 |
| D. | 12 |
| Answer» E. | |
| 3. |
What should be added to \[\frac{21}{27}\] to make it \[\frac{26}{27}\]? |
| A. | \[\frac{26}{27}\] |
| B. | \[\frac{6}{27}\] |
| C. | \[\frac{5}{27}\] |
| D. | \[\frac{7}{27}\] |
| Answer» D. \[\frac{7}{27}\] | |
| 4. |
What is the value of the expression \[\left[ \frac{14}{3}\left( 2\frac{3}{7}-3\frac{1}{6}+1\frac{2}{3} \right) \right]\]? |
| A. | \[1\frac{1}{2}\] |
| B. | \[2\frac{1}{3}\] |
| C. | \[3\frac{1}{3}\] |
| D. | \[4\frac{1}{3}\] |
| Answer» E. | |
| 5. |
Examine the containers below. Which container holds \[\frac{1}{8}\] litre of liquid? |
| A. | Tea Cup |
| B. | Cereal Bowl |
| C. | Drinking Glass |
| D. | Lemonade Pitcher |
| Answer» B. Cereal Bowl | |
| 6. |
Manav took 4 minutes to complete a race comprising three rounds. The time taken to complete the first and the second round is \[\frac{3}{4}\] min and \[1\frac{1}{2}\] min respectively. How much time was taken by Manav to complete the last round? |
| A. | \[2\frac{1}{2}\] min |
| B. | \[3\frac{1}{3}\] min |
| C. | \[1\frac{3}{4}\]min |
| D. | None of these |
| Answer» D. None of these | |
| 7. |
Which of the following will make the given expression TRUE? \[\left[ \frac{7}{3}-\frac{2}{6} \right]-\frac{1}{2}+\left[ \frac{4}{5}\div \frac{6}{8} \right]+\frac{3}{4}\ \] \[\frac{4}{5}\div \left[ \frac{6}{8}+\frac{3}{4} \right]-\left[ \frac{3}{4}+\frac{5}{6} \right]+3\frac{1}{3}\] |
| A. | > |
| B. | < |
| C. | = |
| D. | Can't be determined |
| Answer» B. < | |
| 8. |
What is the product of a fractional number and its reciprocal? |
| A. | \[0\] |
| B. | same number |
| C. | \[1\] |
| D. | undefined |
| Answer» D. undefined | |
| 9. |
In the above example, how many students prefer neither hockey nor cricket? |
| A. | 60 |
| B. | 50 |
| C. | 40 |
| D. | 30 |
| Answer» E. | |
| 10. |
Among 240 students, it was found that three - fourth of the students preferred to play hockey and one-eighth of the students preferred to play cricket. The number of students whole prefer to play hockey and cricket respectively are |
| A. | 180 and 30 |
| B. | 40 and 180 |
| C. | 180 and 40 |
| D. | None of these |
| Answer» B. 40 and 180 | |
| 11. |
Find the perimeter of: (i) \[\Delta ABC\] (ii) rectangle BCDE |
| A. | (i) (ii) \[8\frac{1}{60}cm\] \[5\,cm\] |
| B. | (i) (ii) \[5\,cm\] \[10\frac{1}{6}cm\] |
| C. | (i) (ii) \[8\frac{1}{60}\,cm\] \[10\frac{1}{5}\,cm\] |
| D. | (i) (ii) \[8\,cm\] \[23\,cm\] |
| Answer» D. (i) (ii) \[8\,cm\] \[23\,cm\] | |
| 12. |
Which of the following is true with respect to \[\frac{9}{16}\] and \[\frac{13}{5}\]? |
| A. | \[\frac{9}{16}>\frac{13}{5}\] |
| B. | \[\frac{9}{16}=\frac{13}{5}\] |
| C. | \[\frac{9}{16}<\frac{13}{5}\] |
| D. | \[\frac{13}{5}<\frac{9}{16}\] |
| Answer» D. \[\frac{13}{5}<\frac{9}{16}\] | |
| 13. |
If\[\mathbf{~}{{\mathbf{2}}^{\mathbf{2002}}}\mathbf{- }{{\mathbf{2}}^{\mathbf{1996}}}\mathbf{- }{{\mathbf{2}}^{\mathbf{1992}}}\mathbf{+ }{{\mathbf{2}}^{\mathbf{1991}}}\mathbf{= K}\mathbf{.}{{\mathbf{2}}^{\mathbf{1991}}}\], then the value of K is ________. |
| A. | 2012 |
| B. | 4024 |
| C. | 2015 |
| D. | 4012 |
| E. | None of these |
| Answer» D. 4012 | |
| 14. |
Find the value of K, where K is an integer and \[{{\mathbf{2}}^{\mathbf{K+5}}}\mathbf{\times }{{\mathbf{6}}^{\mathbf{2K-3}}}\mathbf{=}\frac{{{\mathbf{3}}^{\mathbf{-8}}}}{\mathbf{1}{{\mathbf{2}}^{\mathbf{6}}}\mathbf{\times }{{\mathbf{2}}^{\mathbf{3}}}}\] |
| A. | -5 |
| B. | -6 |
| C. | 5 |
| D. | -8 |
| E. | None of these |
| Answer» C. 5 | |
| 15. |
Which one among the following is the largest? \[{{\mathbf{3}}^{\mathbf{1/12}}}\mathbf{,}\,{{\mathbf{6}}^{\mathbf{1/6}}}\mathbf{,}\,{{\mathbf{9}}^{\mathbf{1/4}}}\mathbf{,}\,{{\mathbf{2}}^{\mathbf{1/16}}}\mathbf{,}\,{{\mathbf{5}}^{\mathbf{1/6}}}\] |
| A. | \[{{3}^{1/12}}\] |
| B. | \[{{6}^{1/6}}\] |
| C. | \[{{9}^{1/4}}\] |
| D. | \[{{2}^{1/16}}\] |
| E. | None of these |
| Answer» D. \[{{2}^{1/16}}\] | |
| 16. |
Which one among the following is wrong statement? |
| A. | \[{{a}^{m}}+{{a}^{m}}=\text{ }{{a}^{2}}^{m}\], where a is a non-zero rational number and m is a positive integer. |
| B. | \[{{a}^{p}}\text{ }\times \text{ }{{a}^{q}}=\text{ }{{a}^{pq}}\], where p, q are positive integer. |
| C. | \[{{4}^{6}}\] is greater than \[~{{8}^{5}}\] |
| D. | \[{{2}^{n}}>\text{ }{{n}^{2}}\], where n is a natural number greater than 2. |
| E. | None of these |
| Answer» E. None of these | |
| 17. |
Simplify: \[\frac{\sqrt{\mathbf{216}}\mathbf{+}\sqrt{\mathbf{96}}}{\sqrt{\mathbf{5}{{\mathbf{0}}^{\mathbf{2}}}\mathbf{-1}{{\mathbf{0}}^{\mathbf{2}}}}}\] |
| A. | 1 |
| B. | \[\frac{1}{4}\] |
| C. | \[\frac{1}{2}\] |
| D. | 2 |
| E. | None of these |
| Answer» D. 2 | |
| 18. |
Which one among the following is correct? |
| A. | \[{{\left( 5+5 \right)}^{5}}={{5}^{5}}+{{5}^{5}}\] |
| B. | \[{{3}^{5}}>{{5}^{3}}\] |
| C. | one billion \[=\text{ }{{10}^{9}}\] |
| D. | one hour = 3600 minutes |
| E. | None of these |
| Answer» D. one hour = 3600 minutes | |
| 19. |
If \[\mathbf{5000 > }{{\mathbf{x}}^{\mathbf{4}}}\]then the greatest possible integer value of x is _________. |
| A. | 5 |
| B. | 6 |
| C. | 7 |
| D. | 8 |
| E. | None of these |
| Answer» E. None of these | |
| 20. |
If \[{{\mathbf{4}}^{\mathbf{-2X}}}\mathbf{=}\frac{\mathbf{1}}{\mathbf{4096}}\,\,\mathbf{and}\,\,\mathbf{1}{{\mathbf{1}}^{\mathbf{y}}}\mathbf{=}\frac{\mathbf{1}}{\mathbf{1331}}\] then find the value of\[\mathbf{x}\text{ }-\text{ }\mathbf{y}\]. |
| A. | 0 |
| B. | 1 |
| C. | 3 |
| D. | 6 |
| E. | None of these |
| Answer» E. None of these | |
| 21. |
Choose the correct descending order for the following:\[{{4}^{5+6}},{{({{4}^{5}})}^{6}},{{4}^{8}}\times {{4}^{4}},\frac{{{4}^{6}}}{{{4}^{-7}}},{{4}^{10}}\times {{4}^{0}}\]. |
| A. | \[{{\left( {{4}^{5}} \right)}^{6}}>\text{ }{{4}^{8}}\times {{4}^{4}}>\frac{{{4}^{6}}}{{{4}^{-7}}}>{{4}^{5+6}}>{{4}^{10}}\times {{4}^{0}}\] |
| B. | \[{{({{4}^{5}})}^{6}}>\frac{{{4}^{6}}}{{{4}^{-7}}}>{{4}^{8}}\times {{4}^{4}}>{{4}^{5+6}}>{{4}^{10}}\times {{4}^{0}}\] |
| C. | \[{{4}^{8}}\times \,{{4}^{4}}>{{({{4}^{5}})}^{6}}>\frac{{{4}^{6}}}{{{4}^{-7}}}>\text{ }{{4}^{10}}\times {{4}^{0}}>{{4}^{5+6}}\] |
| D. | \[{{4}^{8}}\times {{4}^{4}}<{{({{4}^{5}})}^{6}}<\frac{{{4}^{6}}}{{{4}^{-7}}}<{{4}^{10}}\times {{4}^{0}}<{{4}^{5+6}}\] |
| E. | None of these |
| Answer» C. \[{{4}^{8}}\times \,{{4}^{4}}>{{({{4}^{5}})}^{6}}>\frac{{{4}^{6}}}{{{4}^{-7}}}>\text{ }{{4}^{10}}\times {{4}^{0}}>{{4}^{5+6}}\] | |
| 22. |
If \[{{\mathbf{a}}^{\mathbf{b}}}^{^{\mathbf{c}}}\mathbf{= 6561}\], where a, b and c are positive integers, then find the minimum possible value of \[\mathbf{a}\text{ }+\text{ }\mathbf{b}\text{ }+\text{ }\mathbf{c}\]. |
| A. | 6 |
| B. | 11 |
| C. | 8 |
| D. | 9 |
| E. | None of these |
| Answer» D. 9 | |
| 23. |
By what number should \[{{\left( -8 \right)}^{-9}}\text{ }\] be divided so that the quotient may be equal to\[{{\left( -\text{ }8 \right)}^{-6}}\]? |
| A. | \[{{8}^{3}}\] |
| B. | \[~{{\left( -8 \right)}^{-3}}\] |
| C. | \[~{{\left( -8 \right)}^{3}}\] |
| D. | \[~{{8}^{-3}}\] |
| E. | None of these |
| Answer» C. \[~{{\left( -8 \right)}^{3}}\] | |
| 24. |
If\[{{\mathbf{3}}^{\mathbf{8}}}{{^{\mathbf{x}}}^{\mathbf{-}}}^{\mathbf{32}}\mathbf{= }{{\mathbf{4}}^{\mathbf{28}}}^{\mathbf{-7x}}\], then find the value of x. |
| A. | 2 |
| B. | 3 |
| C. | 4 |
| D. | 6 |
| E. | None of these |
| Answer» D. 6 | |
| 25. |
Solve: \[{{\mathbf{(}\sqrt{\mathbf{260}}\mathbf{-}\sqrt{\mathbf{64}}\mathbf{)}}^{\mathbf{3/2}}}\,{{\mathbf{(}\sqrt{\mathbf{260}}\mathbf{+}\sqrt{\mathbf{64}}\mathbf{)}}^{\mathbf{3/2}}}\] |
| A. | 2343 |
| B. | 2744 |
| C. | 1834 |
| D. | 2656 |
| E. | None of these |
| Answer» C. 1834 | |
| 26. |
The standard form of the number 56789 is _________. |
| A. | 5.6789 x 103 |
| B. | 56.789 x 103 |
| C. | 5.6789 x 104 |
| D. | 5678.9 x 10 |
| E. | None of these |
| Answer» D. 5678.9 x 10 | |
| 27. |
If \[{{\mathbf{p}}^{\mathbf{q}}}\mathbf{ x }{{\mathbf{q}}^{\mathbf{p}}}\mathbf{ = 30375}\], then find the value of \[\mathbf{3p}\text{ }+\text{ }\mathbf{2q}\] (where, p and q are natural numbers greater than 1). |
| A. | 19 |
| B. | 21 |
| C. | 23 |
| D. | 24 |
| E. | None of these |
| Answer» B. 21 | |
| 28. |
If \[{{\mathbf{2}}^{\mathbf{m-7}}}=\text{ }\mathbf{32}\], then find the value of \[{{\mathbf{2}}^{\mathbf{m-3}}}\]. |
| A. | 256 |
| B. | 512 |
| C. | 1024 |
| D. | 2048 |
| E. | None of these |
| Answer» C. 1024 | |
| 29. |
\[{{\left( \mathbf{0}.\mathbf{0256} \right)}^{\mathbf{1/4}}}\] =__________. |
| A. | 0.4 |
| B. | 0.04 |
| C. | 0.02 |
| D. | 0.2 |
| E. | None of these |
| Answer» B. 0.04 | |
| 30. |
Which one among the following is the greatest?\[{{5}^{-4}},\text{ }{{2}^{-4}},\text{ }{{3}^{-4}},\text{ }{{4}^{-4}},\text{ }{{6}^{-4}}\] |
| A. | \[{{5}^{-4}}~\] |
| B. | \[{{6}^{-4}}\] |
| C. | \[~{{2}^{-4}}~\] |
| D. | \[~{{4}^{-\,4\text{ }~}}\] |
| E. | None of these |
| Answer» D. \[~{{4}^{-\,4\text{ }~}}\] | |
| 31. |
If \[\mathbf{3600 = }{{\mathbf{2}}^{\mathbf{m}}}\,\mathbf{x }{{\mathbf{3}}^{\mathbf{n}}}\mathbf{ x}\,{{\mathbf{5}}^{\mathbf{p}}}\], then find the value of \[\frac{\mathbf{512}}{{{\mathbf{(16)}}^{\mathbf{(m+n)-p}}}}\] |
| A. | \[{{2}^{-7}}\] |
| B. | \[~{{2}^{7}}\] |
| C. | \[~{{2}^{8}}\] |
| D. | \[~{{2}^{-8}}\] |
| E. | None of these |
| Answer» B. \[~{{2}^{7}}\] | |
| 32. |
Simplify: \[{{\left( \frac{\mathbf{512}}{\mathbf{125}} \right)}^{\mathbf{2/3}}}\mathbf{\div }{{\left( \frac{\mathbf{64}}{\mathbf{125}} \right)}^{\mathbf{1/3}}}\mathbf{\times }{{\left( \frac{\mathbf{125}}{\mathbf{8}} \right)}^{\mathbf{2/3}}}\] |
| A. | 40 |
| B. | 20 |
| C. | 25 |
| D. | 45 |
| E. | None of these |
| Answer» B. 20 | |
| 33. |
Evaluate: \[{{\left[ \mathbf{1}\text{ }+\text{ }\mathbf{8}\text{ }+\text{ }\mathbf{27}\text{ }+\text{ }\mathbf{64}\text{ }+\text{ }\mathbf{125}\text{ }+\text{ }\mathbf{216}\text{ }+\text{ }\mathbf{343} \right]}^{\mathbf{3/4}}}\] |
| A. | \[34\sqrt{3}\] |
| B. | \[56\sqrt{7}\] |
| C. | \[28\sqrt{7}\] |
| D. | \[34\sqrt{7}\] |
| E. | None of these |
| Answer» C. \[28\sqrt{7}\] | |
| 34. |
Which among the following is not equal to 1? |
| A. | \[\frac{{{2}^{8}}\times 32}{8\times 1024}\] |
| B. | \[[{{(-2)}^{6}}\times {{2}^{-4}}]\div \frac{{{(-2)}^{8}}}{64}\] |
| C. | \[\frac{{{3}^{-1/3}}}{81}\times \frac{{{3}^{-11/3}}}{{{3}^{-8}}}\] |
| D. | \[\frac{{{3}^{-5/4}}\times {{3}^{-15/4}}}{{{(2+7)}^{-2}}}\] |
| E. | None of these |
| Answer» E. None of these | |
| 35. |
A teacher distributes 2209 toffees equally among n number students. If each student gets n toffees, find n. |
| A. | 37 |
| B. | 27 |
| C. | 47 |
| D. | 57 |
| E. | None of these |
| Answer» D. 57 | |
| 36. |
If \[{{\mathbf{4}}^{\mathbf{x}}}\mathbf{ = }{{\mathbf{2}}^{\mathbf{y}}}\mathbf{ = 1}{{\mathbf{6}}^{\mathbf{z}}}\mathbf{= 256}\], then find the value of \[{{\mathbf{x}}^{\mathbf{2}}}+\text{ }{{\mathbf{y}}^{\mathbf{2}}}+\text{ }{{\mathbf{z}}^{\mathbf{2}}}+\text{ }\mathbf{2xy}\text{ }+\text{ }\mathbf{2yz}\text{ }+\text{ }\mathbf{2zx}.\] |
| A. | 120 |
| B. | 196 |
| C. | 186 |
| D. | 190 |
| E. | None of these |
| Answer» C. 186 | |
| 37. |
If \[{{\left( \frac{\mathbf{m}}{\mathbf{n}} \right)}^{\mathbf{3/8}}}\mathbf{+}{{\left( \frac{\mathbf{n}}{\mathbf{m}} \right)}^{\mathbf{3/8}}}\mathbf{=9}\] then find the value of \[\,{{\left( \frac{\mathbf{m}}{\mathbf{n}} \right)}^{\mathbf{3/4}}}\mathbf{+}{{\left( \frac{\mathbf{n}}{\mathbf{m}} \right)}^{\mathbf{3/4}}}\]. |
| A. | 79 |
| B. | 72 |
| C. | 83 |
| D. | 84 |
| E. | None of these |
| Answer» B. 72 | |
| 38. |
What should be multiplied to \[{{3}^{-9}}\] so that the product may be equal to 2187? |
| A. | \[{{3}^{15}}\] |
| B. | \[{{3}^{16}}\] |
| C. | \[{{3}^{14}}\] |
| D. | \[{{3}^{13}}\] |
| E. | None of these |
| Answer» C. \[{{3}^{14}}\] | |
| 39. |
If \[{{\mathbf{a}}^{\mathbf{2}}}+\text{ }{{\mathbf{b}}^{\mathbf{2}}}+\text{ }{{\mathbf{c}}^{\mathbf{2}}}=\text{ }\mathbf{4abc}\], then find the value of \[{{\left[ {{\mathbf{4}}^{\frac{\mathbf{1}}{\mathbf{bc}}}} \right]}^{\mathbf{a}}}{{\left[ {{\mathbf{4}}^{\frac{\mathbf{1}}{\mathbf{ac}}}} \right]}^{\mathbf{b}}}{{\left[ {{\mathbf{4}}^{\frac{\mathbf{1}}{\mathbf{ab}}}} \right]}^{\mathbf{c}}}\] . |
| A. | 5 abc |
| B. | 4abc |
| C. | 64 |
| D. | 256 |
| E. | None of these |
| Answer» E. None of these | |
| 40. |
\[{{\left( \frac{{{\mathbf{x}}^{\mathbf{-3}}}}{{{\mathbf{y}}^{\mathbf{3}}}} \right)}^{\mathbf{2/3}}}\mathbf{\times }{{\left( \frac{{{\mathbf{x}}^{\mathbf{3}}}}{{{\mathbf{y}}^{\mathbf{-3}}}} \right)}^{\mathbf{2/3}}}\]is equal to |
| A. | \[\frac{{{x}^{4}}}{{{y}^{-4}}}\] |
| B. | \[\frac{{{y}^{4}}}{{{x}^{-4}}}\] |
| C. | \[\frac{{{x}^{-}}^{4}}{{{y}^{4}}}\] |
| D. | \[\frac{1}{{{x}^{2}}{{y}^{2}}}\] |
| E. | None of these |
| Answer» D. \[\frac{1}{{{x}^{2}}{{y}^{2}}}\] | |
| 41. |
If \[{{\left( \frac{5}{9} \right)}^{4}}\times {{\left( \frac{5}{9} \right)}^{-10}}={{\left( \frac{5}{9} \right)}^{-4}}{{\left( \frac{5}{9} \right)}^{2a-1}},\]then the value of a is _____. |
| A. | 1 |
| B. | \[\frac{-5}{2}\] |
| C. | \[\frac{-5}{4}\] |
| D. | \[\frac{-1}{2}\] |
| Answer» E. | |
| 42. |
\[{{(-11)}^{2}}\times {{(-11)}^{4}}={{(-11)}^{x}}.\]What is the value of x? |
| A. | \[2\] |
| B. | \[4\] |
| C. | \[6\] |
| D. | \[-2\] |
| Answer» D. \[-2\] | |
| 43. |
\[{{\left\{ {{\left( \frac{3}{4} \right)}^{-1}}-{{\left( \frac{1}{4} \right)}^{-1}} \right\}}^{-1}}=?\] |
| A. | \[\frac{3}{8}\] |
| B. | \[\frac{-3}{8}\] |
| C. | \[\frac{8}{3}\] |
| D. | \[\frac{-8}{3}\] |
| Answer» C. \[\frac{8}{3}\] | |
| 44. |
Which of the following is the least? \[{{(-1)}^{3}},\,{{(-10)}^{3}},{{(1)}^{5}}\] and \[{{(-1)}^{4}}\] |
| A. | \[{{1}^{5}}\] |
| B. | \[{{(-10)}^{3}}\] |
| C. | \[{{(-1)}^{4}}\] |
| D. | \[{{(-1)}^{3}}\] |
| Answer» C. \[{{(-1)}^{4}}\] | |
| 45. |
The value of \[\left( \frac{{{a}^{-2}}\times {{b}^{-3}}}{{{a}^{-3}}\times {{b}^{-4}}} \right)\] is ________. |
| A. | \[{{a}^{-1}}\times b\] |
| B. | \[a\times {{b}^{-1}}\] |
| C. | \[{{(ab)}^{-1}}\] |
| D. | \[ab\] |
| Answer» E. | |
| 46. |
What is the value of \[{{2}^{7}}\times {{5}^{3}}\]? |
| A. | \[7500\] |
| B. | \[16000\] |
| C. | \[11200\] |
| D. | \[14000\] |
| Answer» C. \[11200\] | |
| 47. |
Simplify \[\frac{{{64}^{2x}}\div {{16}^{x}}}{{{128}^{x}}\times {{4}^{2x}}}\]. |
| A. | \[{{2}^{-3x}}\] |
| B. | \[{{2}^{8x}}\] |
| C. | \[{{2}^{3x}}\] |
| D. | \[{{2}^{11x}}\] |
| Answer» B. \[{{2}^{8x}}\] | |
| 48. |
The value of \[(-8)\times (-8)\times (-8)\times (-8)+(-8)\]\[\times (-8)\times (-8)\times (-8)\] is ____. |
| A. | \[-2{{(8)}^{5}}\] |
| B. | \[-{{(2)}^{16}}\] |
| C. | \[-{{(4)}^{8}}\] |
| D. | All of these |
| Answer» E. | |
| 49. |
What is the value of \[(12\times {{3}^{0}}-8\times {{5}^{0}})\]? |
| A. | \[\frac{1}{2}\] |
| B. | \[2\] |
| C. | \[4\] |
| D. | \[\frac{1}{4}\] |
| Answer» D. \[\frac{1}{4}\] | |
| 50. |
Solve \[{{({{9}^{5}})}^{x}}={{({{9}^{4}})}^{x}}\div {{9}^{2}}\]. |
| A. | \[x=4\] |
| B. | \[x=-2\] |
| C. | \[x=-3\] |
| D. | \[x=2\] |
| Answer» C. \[x=-3\] | |