Question

If $a={\left(\frac{1}{10}\right)}^2,b=\frac{1}{5}$ and $c=\sqrt{\frac{1}{100}}$ then which of the following statements is correct?

• A. $a<b<c$
• B. $a<c<b$
• C. $b<c<a$
• D. $c<a<b$

Answer 1

Answer: (B)

$a<c<b$

$a=\frac{1}{100},b=\frac{1}{5}=\frac{20}{100},c=\frac{1}{10}=\frac{10}{100}$
$\therefore$ $a<c<b$