Surds and Indices MCQ Question with Answer

Surds and Indices MCQ with detailed explanation for interview, entrance and competitive exams. Explanation are given for understanding.

Question No : 1
243)n5 × 32n + 1 9n × 3n − 1 = ?

3^{n}

Question No : 2
$\frac{1}{1 + a^{(n - m)}} + \frac{1}{1 + a^{(m - n)}} = ?$

\frac{1}{2}

a^{m + n}

Question No : 3
If m and n are whole numbers such that $m^{n}$ = 121, the value of $(m - 1)^{n + 1}$ is:

121

1000

Question No : 4
${(\frac{x b}{x c})}^{(b + c - a)} . {(\frac{x c}{x a})}^{(c + a - b)} . {(\frac{x a}{x b})}^{(a + b - c)} = ?$

x^{a b c}

x^{a b + b c + c a}

x^{a + b + c}

Question No : 5
$I f x = 3 + 2 \sqrt{2}, t h e n t h e v a l u e o f \sqrt{x} - \frac{1}{\sqrt{x}} i s :$

2 \sqrt{2}

3 \sqrt{3}

Question No : 6
$(0.04)^{- 1.5} = ?$

125

250

625

Question No : 7
The value of $[(10)^{150} \div (10)^{146}]$

1000

10000

100000

10^{6}