Question

Complete the second pair of given analogous pair based on the pattern followed by first pair:

$48:122::168:?$

• A. $284$
• B. $286$
• C. $288$
• D. $290$

Answer 1

The correct option is D $290$

$48=7^2-1,122={11}^2+1:$

So, the second number in the term can be expressed as ${(x+4)}^2+1$, where $x$ is square root of the number obtained by adding 1 to the original number.
$168={13}^2-1,290={17}^2+1$
Hence, option $D$ is the correct answer.