Question

What number should replace the question mark ?
$27,27,30\frac{1}{4},23\frac{3}{4},33\frac{1}{2},20\frac{1}{2},36\frac{3}{4},17\frac{1}{4},?$

• A. $30$
• B. $20$
• C. $40$
• D. $10$

Answer 1

The correct option is C $40$

There are $2$ series :

First series is $27,30\frac{1}{4},33\frac{1}{2},36\frac{3}{4},40$

In this series, the next term is obtained by adding $\frac{13}{4}$ i.e. $3\frac{1}{4}$

Second series is $27,23\frac{3}{4},20\frac{1}{2},17\frac{1}{4},14$

In this series, the next term is obtained by subtracting $\frac{13}{4}$ i.e. $3\frac{1}{4}$

Hence, the missing term is $40$.