Question

A person shades two circles as shown below.
Combining both of them together, parts of a circle are shaded by him altogether.

• A. $\frac{2}{4}$
• B. $\frac{6}{8}$
• C. $\frac{7}{8}$
• D. $\frac{1}{4}$

Answer 1

The correct option is B $\frac{6}{8}$


Among the given circles, one is divided into 8 parts and the other is divided into 2 parts.

$\text{Fraction of shaded part of first circle}=\frac{2}{8}$
$\text{Fraction of shaded part of second circle}=\frac{1}{2}$

Now, divide each circle into 8 parts and add them as shown below.


$\therefore \frac{1}{2}=\frac{1\times 4}{2\times 4}=\frac{4}{8}$

The sum of the above is equivalent to:
$\frac{2}{8}+\frac{4}{8}=\frac{6}{8}$



$\therefore \frac{6}{8}\text{parts of a circle is shaded}$
$\text{by the person.}$