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Q.

If you subtract $\frac{1}{2}$ from a number and multiply the result by $\frac{1}{2}$ , you get $\frac{1}{8}$ . What is the number obtained?

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a

\frac{3}{9}

b

\frac{3}{4}

c

\frac{3}{13}

d

\frac{3}{2}

answer is B.

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Detailed Solution

Given,

\frac{1}{2}

is subtracted from a number and the result is multiplied by

\frac{1}{2}

to obtain

\frac{1}{8}

.
Let

x

be the number.
Subtracting

\frac{1}{2}

from

x

.
⇒

x - \frac{1}{2}

Multiplying by

\frac{1}{2}

⇒

\frac{1}{2} (x - \frac{1}{2})

According to given condition,
⇒

\frac{1}{8}

= (x - \frac{1}{2}) \frac{1}{2}

⇒

(2 x - 1) \frac{1}{4} = \frac{1}{8}

⇒

4 x - 2 = 1

⇒

4 x = 3

⇒

x = \frac{3}{4}

Hence, the correct option is 2.

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