Question

Arrange the shaded fractions of the following figures in ascending order.

• A. s, q, r, p
• B. p, r, s, q
• C. s, p, q, r
• D. p, r, q, s

Answer 1

The correct option is D p, r, q, s

In Figure p,

Total number of circles: $12$

Shaded Circles: $4$

$\frac{shaded}{Total}$ $\to$ $\frac{4}{12}$ $\to$ $\frac{1}{3}$

In Figure q,

Total number of circles: $12$

Shaded Circles: $6$

$\frac{Shaded}{Total}$ $\to$ $\frac{6}{12}$ $\to$ $\frac{1}{2}$

In Figure r,

Total number of circles: $15$

Shaded Circles: $6$

$\frac{Shaded}{Total}$ $\to$ $\frac{6}{15}$ $\to$ $\frac{2}{5}$

In Figure s,

Total number of circles: $15$

Shaded Circles: $12$

Shaded/Total $\to$ $\frac{12}{15}$ $\to$ $\frac{4}{5}$

$4/5$ $>$ $1/2$ $>$ $2/5$ $>$ $1/2$

p $<$ r $<$ q $<$ s

Hence Option D is correct.