Indices and Surds | Aptitude Questions and Answers

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Q11. $\mathbf{\frac{1}{1+a^{\left ( n-m \right )}}+\frac{1}{1+a^{\left ( m-n \right )}}}$

A. 1

B. 0

C. 5

D. 9

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Correct Answer : 1

Q12. $\mathbf{\left ( 64 \right )^{-\frac{1}{2}}-\left ( -32 \right )^{-\frac{4}{5}}=?}$

A. 1/8

B. 1/16

C. 3/8

D. 3/16

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Correct Answer : 1/16

Q13. $\mathbf{\left ( 0.04 \right )^{-1.5}= ?}$

A. 25

B. 625

C. 125

D. 250

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Correct Answer : 125

Q14. $\mathbf{\left ( 25 \right )^{7.5}\times \left ( 5 \right )^{2.5}\div \left ( 125 \right )^{1.5}=?}$

A. 13

B. 17.5

C. 16

D. 8.5

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Correct Answer : 13

Q15. The value of $\mathbf{\frac{\left ( 243 \right )^{0.13}\times \left ( 243 \right )^{0.07}}{\left ( 7 \right )^{0.25}\times \left ( 49 \right )^{0.075}\times \left ( 343 \right )^{0.2}}}$ is :

A. 10/7

B. 3/7

C. 16/7

D. 7/3

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Correct Answer : 3/7

Q16.

$\mathbf{\left ( 1000 \right )^{7}\div 10^{18} =?}$

A. 10

B. 1000

C. 100

D. 10000

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Correct Answer : 1000

Q17. $\mathbf{\frac{\left ( 243 \right )^{\frac{n}{5}}\times 3^{2n+1}}{9^{n}\times 3^{n-1}}= ?}$

A. 1

B. 3

C. 7

D. 9

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Correct Answer : 9

Q18. If m and n are whole numbers such that $\mathbf{m^{n}}$ = 121, then the value of $\mathbf{\left ( m-1 \right )^{n+1}}$ is :

A. 1000

B. 121

C. 10

D. 1

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Correct Answer : 1000

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