Question

In the given question, select the related number from the given alternatives.
$196$ $:$ $256$ $:$ $:$ $?$ $:$ $400$

• A. $144$
• B. $452$
• C. $324$
• D. $204$

Answer 1

The correct option is C $324$

In the first pair,

${14}^2=196$

$(14+2{)}^2={16}^2=256$

$196$ and $256$ are squares of consecutive even numbers.

Similarly, in second pair

$400={20}^2=(18+2{)}^2$

So, ${18}^2=324$ is the required number.

Similarly, $324$ and $400$ are also squares of consecutive even numbers.

Thus, $196$ and $256$ are related the same way $324$ and $400$ are related.

$\therefore$ The correct answer is $324$. $\left[C\right]$