Surds and Indices Questions Quiz for Competitive Exams
Find the cube root of $$ ^{3}\sqrt{-13824}$$.
(A) 24
(B) 38
(C) -24
(D) -38
Correct Answer : C
If $$ {81\ × 343\ ×625}={3^{p}}\ {7^{q}}\ {5^{r}}$$ then find out the value of $$ {\sqrt{(p-r)^{2}+q^{2}}}$$.
(A) 5
(B) 3
(C) 7
(D) None of these
Correct Answer : B
If $$ {(2x-5y)^{3}-(2x+5y)^{3}=y{[A{x}^{2}+B{y}^{2}]}}$$, then what is the value of $$ {(2A-B)}$$?
(A) 25
(B) 10
(C) 15
(D) 40
Correct Answer : B
What is the value of a5 × a7 ?
(A) $$ {a^{35}}$$
(B) $$ {a^{2}}$$
(C) $$ {a^{12}}$$
(D) $$ {a^{5}}$$
Correct Answer : C
$$ {5^{1\over 4}×(125)^{0.25}}$$ is equal to
(A) $$ {\sqrt{5}}$$
(B) $$ {5\sqrt{5}}$$
(C) 5
(D) 25
Correct Answer : C
The value of which one of the following fractions falls in between $$ {3\over 5}$$ and $$ {7\over 8}$$?
(A) $$ {8\over 9}$$
(B) $$ {4\over 7}$$
(C) $$ {12\over 13}$$
(D) $$ {6\over 7}$$
Correct Answer : D
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Rajesh Bhatia
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