# Surds and Indices Questions Quiz for Competitive Exams

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

Correct Answer : A

**Q :**

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

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

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

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

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

Correct Answer : B

**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

Correct Answer : A

**Q :**

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

(A) 4

(B) 3

(C) 5

(D) 1

Correct Answer : C

**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) $$ {3\over 4}$$

Correct Answer : A

**Q :**

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

(A) 14

(B) 15

(C) 14.4

(D) 16

Correct Answer : B

**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

Correct Answer : A

**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

Correct Answer : D

**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) $$ {7\over4}$$

Correct Answer : C

**Q :**

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

(A) 1233

(B) 1234

(C) 1244

(D) 983

Correct Answer : A