R. D. Sharma Solutions for Chapter: Number System, Exercise 6: MULTIPLE CHOICE QUESTIONS (MCQs)

The number $0.\overline{3}$ in the form $\frac{p}{q},$ where $p$ and $q$ are integers and $q\ne 0,$ is

$0.3\overline{2}$ when expressed in the form $\frac{p}{q} (p,q$are integers $q \ne 0)$  is

$23.\overline{43}$ when expressed in the form $\frac{p}{q}$ ($p,q$are integers, $q \ne 0)$  is

$0.\overline{001}$ when expressed in the form $\frac{p}{q}$($p,q$ are integers,$q\ne 0)$  is

The value of $0.\overline{23}+0.\overline{22}$ is

An irrational number between $2$ and $2.5$ is

The number of consecutive zeros in $2^3 \times 3^4 \times 5^4 \times 7$, is

The smallest rational number by which $\frac{1}{3}$ should be multiplied so that its decimal expansion terminates after one place of decimal, is