Indices and Surds : Aptitude Questions and Answers

Indices and Surds questions and answers are most important for all competitive exams and entrance tests. In this section, you will find many types of indices and surds questions and answers. Practice these questions and answers that will help you crack any competitive exam like SSC, IBPS, PO, RBI, PSC, RAIL, PSU, and many more exams. Now, all competitive exams are online so here you can practice free online exams in our online test section. We are providing many exams indices and surds questions with solutions regularly. Check out this page regularly to get updated indices and surds questions and answers. Here you will find many other subjects general aptitude questions and answers.

Indices and Surds Questions and Answers


Q1. \mathbf{\left ( 256 \right )^{0.16}\times \left ( 256 \right )^{0.09}= ?}

A. 16

B. 4

C. 64

D. 256.25

SHOW ANSWER
Correct Answer : 4


Q2. \mathbf{\left ( 17 \right )^{3.5}\times \left ( 17 \right )^{?}=17^{8}}

A. 2.25

B. 2.75

C. 4.5

D. 2.29

SHOW ANSWER
Correct Answer : 4.5


Q3. If \mathbf{3^{\left ( x-y \right )}=27} and \mathbf{3^{\left ( x+y \right )}=243}, then x is equal to :

A. 4

B. 0

C. 6

D. 2

SHOW ANSWER
Correct Answer : 4


Q4. The value of \mathbf{\frac{1}{\left ( 216 \right )^{-\frac{2}{3}}}+\frac{1}{\left ( 256 \right )^{-\frac{3}{4}}}+\frac{1}{\left ( 32 \right )^{-\frac{1}{5}}}} is:

A. 109

B. 107

C. 102

D. 105

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Correct Answer : 102


Q5. If  

\mathbf{\left ( \frac{a}{b} \right )^{x-1}=\left ( \frac{b}{a} \right )^{x-3}} , then the value of x is :

A. 1

B. 2

C. 1/2

D. 7/2

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Correct Answer : 2


Q6. The value of \mathbf{\left [ \left (10\right )^{150} +\left ( 10\right )^{146} \right ]} is :

A. 1000

B. 100000

C. 10000

D. 1000000

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Correct Answer : 10000


Q7. \mathbf{\frac{1}{1+x^{\left ( b-a \right )}+x^{\left ( c-a \right )}}+\frac{1}{1+x^{\left ( a-b \right )}+x^{\left ( c-b \right )}}+\frac{1}{1+x^{\left ( b-c \right )}+x^{\left ( a-c \right )}}=?}

A. 1

B. 4

C. 0

D. 7

SHOW ANSWER
Correct Answer : 1


Q8. If \mathbf{x=3+2\sqrt{2}} , then the value of \mathbf{\left ( \sqrt{x}-\frac{1}{\sqrt{x}} \right )} is:

A. 1

B. 2

C. 7

D. 6

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Correct Answer : 2


Q9. \mathbf{\left ( \frac{x^{b}}{x^{c}} \right )^{\left ( b+c-a \right )}.\left ( \frac{x^{c}}{x^{a}} \right )^{\left ( c+a-b \right )}.\left ( \frac{x^{a}}{x^{b}} \right )^{\left ( a+b-c \right )}=?}

A. 5

B. 0

C. 3

D. 1

SHOW ANSWER
Correct Answer : 1


Q10. \mathbf{\left ( 18 \right )^{3.5}\div \left ( 27 \right )^{3.5}\times 6^{3.5}=2^{?}:}

A. 4.5

B. 6

C. 7

D. 3.5

SHOW ANSWER
Correct Answer : 7


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