Question

The ratio of areas of square and circle is given n : 1 where n is a natural number. If the ratio of side of square and radius of circle is k :1, where k is a natural number, then n will be multiple of

• A. $77$
• B. $22$
• C. $154$
• D. Data insufficient

Answer 1

The correct option is C $154$

Let a be the side of the square & r be the radius of the circle, then $\frac{a^2}{\pi r^2}=n$
Now, $\frac{a}{r}=k$
$k=\frac{a}{r}=\sqrt{\frac{22\times n}{7}},n$ has to be multiple of $22\times 7=154$.