Surds and Indices Questions Quiz for Competitive Exams
If $$ (3^{33}+3^{33}+3^{33})(2^{33}+2^{33})=6^x$$, the what is the value of x?
(A) 34
(B) 35
(C) 33
(D) 33.5
Correct Answer : A
If 5a=3125, then the value of 5(a-3) is:
(A) 25
(B) 125
(C) 625
(D) 1625
Correct Answer : A
If $$ {2^{2n-1}}={1\over8^{n-3}}$$,then the value of n is:
(A) 3
(B) 2
(C) 0
(D) -2
Correct Answer : B
If $$ 3 ^{2x-y}=3^{x+y}=\sqrt{27}$$ then the value of y is
(A) $$ {1\over2}$$
(B) $$ {3\over2}$$
(C) $$ {1\over8}$$
(D) $$ {3\over4}$$
Correct Answer : A
If 3 (X-Y)=27 and 3 (X+Y)=243, then X is equal to:
(A) 0
(B) 2
(C) 4
(D) 6
Correct Answer : C
Greatest among the numbers
$$^{3}\sqrt{9},\sqrt{3},\ ^{4}\sqrt{16},\ ^{6}\sqrt{180}$$ is
(A) $$^{3}\sqrt{9}$$
(B) $$\sqrt{3}$$
(C) $$^{4}\sqrt{16}$$
(D) $$^{6}\sqrt{180}$$
Correct Answer : A
The value of $$ {4^{10+n}}.{16^{3n-4}}\over4^{7n}$$ is:
(A) 8
(B) 20
(C) 16
(D) 4
Correct Answer : C
$$ \sqrt{.081×.484\over0.0064×6.25}=?$$
(A) 9
(B) 0.9
(C) 0.99
(D) 99
Correct Answer : C
Which of the following statements is/are True?
I. $$ {\sqrt{12}}>{^{3}{\sqrt{16}}}>{^{4}{\sqrt{24}}}$$
II. $$ ^{3}{\sqrt{25}}>{^{4}{\sqrt{32}}}>{^{6}{\sqrt{48}}}$$
III. $$ ^{4}{\sqrt{9}}>{^{3}{\sqrt{15}}}>{^{6}{\sqrt{24}}}$$
(A) only I and II
(B) Only I and III
(C) Only I
(D) All are true
Correct Answer : A
$$ {{2^n+2^{n-1}}\over {2^{n+1} -2^n}}=?$$
(A) $$ {3\over2}$$
(B) 2
(C) 3
(D) $$ {2\over3}$$
Correct Answer : A
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Rajesh Bhatia
A Writer, Teacher and GK Expert. I am an M.A. & M.Ed. in English Literature and Political Science. I am highly keen and passionate about reading Indian History. Also, I like to mentor students about how to prepare for a competitive examination. Share your concerns with me by comment box. Also, you can ask anything at linkedin.com/in/rajesh-bhatia-7395a015b/.
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