Question

What will come next in the series ?

$20,16\frac{2}{3},14\frac{2}{7},12\frac{1}{2},...........$

• A. $11\frac{1}{9}$
• B. $11\frac{2}{7}$
• C. $11\frac{2}{3}$
• D. $10\frac{2}{3}$

Answer 1

Answer: (A)

$11\frac{1}{9}$

To make the given series easy we change Numerators as $100$.
$20=20\times \frac{5}{5}=\frac{100}{5}$
$16\frac{2}{3}=\frac{50}{3}\times \frac{2}{2}=\frac{100}{6}$
$14\frac{2}{7}=\frac{100}{7}$
$12\frac{1}{2}=\frac{25}{2}\times \frac{4}{4}=\frac{100}{8}$
Now series is-
$\frac{100}{5},\frac{100}{6},\frac{100}{7},\frac{100}{8},\frac{100}{9}$
$\frac{100}{9}$
$\Rightarrow 11\frac{1}{9}$
Hence, option 'A' is correct