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# Surds and Indices Questions Quiz for Competitive Exams

Rajesh Bhatia7 months ago 1.1K Views

Welcome to our Surds and Indices Questions Quiz! Are you ready to test your mathematical prowess? This Surds and Indices Questions Quiz is designed to challenge your understanding of surds and indices, essential concepts for various competitive exams. Surds involve roots and irrational numbers, while indices deal with powers and exponents. This Surds and Indices Questions Quiz will feature a series of thought-provoking questions to assess your grasp of these fundamental mathematical principles. Sharpen your mind and dive into this quiz to gauge your proficiency in surds and indices, essential for excelling in competitive exams!

## Surds and Indices Questions

In this article Surds and Indices Questions Quiz for Competitive Exams, we are sharing the most important questions and answers of Surds and Indices topics under the Aptitude section for upcoming competitive exams.

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## Surds and Indices Questions Quiz for Competitive Exams

Q :

If $${(\sqrt {3})^{5}× {9}^{2}={3^{n}{×3\sqrt {3}}}}$$ then value of n

(A) 5

(B) 6

(C) 3

(D) 4

Q :

$${({1\over25})^{-1\over2}}+{({8\over 27})^{-1\over3}}$$

(A) $${9\over 2}$$

(B) $${13\over 2}$$

(C) $${13\over 15}$$

(D) $${5\over 9}$$

Q :

Solve for x if $${x^{a^{3}}}.x^{b^{3}}.x^{3ab(a+b)}=(2^{5})^{25},a+b=5$$

(A) 2

(B) 3

(C) 1

(D) 0

Q :

Find the value of $$\sqrt{20+\sqrt{29-\sqrt{12+\sqrt{19-\sqrt{9}}}}}$$.

(A) 4

(B) 3

(C) 5

(D) 1

Q :

If $${3^{4x-y}={3^{x+y}=\sqrt{27}}}$$,  then the value of y is:

(A) $${9\over 10}$$

(B) $${3\over 2}$$

(C) 2

(D) $${3\over 4}$$

Q :

$$\sqrt{217+\sqrt{48+\sqrt{256}}}=?$$

(A) 14

(B) 15

(C) 14.4

(D) 16

Q :

If $$\sqrt{0.04×0.4×a} =0.4×0.04×{\sqrt{b}}$$ then the value of $${a\over b}$$ is:

(A) 0.016

(B) 0.16

(C) 1

(D) 16

Q :

Which of the following statements is /are True?
I. $${33^3}>{3^{33}}$$
II. $${333}>{(3^{3})^{3}}$$

(A) only I

(B) only II

(C) Both I and II

(D) Neither I nor II

Q :

If  $${x^{\sqrt{x}}}={({x{\sqrt{x}}})^{x}}$$, then the find the value of x

(A) $${3\over4}$$

(B) $${3\over5}$$

(C) $${9\over4}$$

(D) $${7\over4}$$

Q :

Find out the value of $${\sqrt{(121)}} +{\sqrt{(12321)}}+{\sqrt{(1234321)}}$$.

(A) 1233

(B) 1234

(C) 1244

(D) 983