Question

From among the given alternatives select the one in which the set of numbers is most like the set of numbers given in the question.
$16,36,64$

• A. $4,9,144$
• B. $16,100,256$
• C. $25,49,121$
• D. $9,81,169$

Answer 1

The correct option is B $16,100,256$

$(16,36,64)=\left[\begin{array}{ccc}{4}^2,& (4+2{)}^2,& (4+2+2{)}^2\end{array}\right]$

The set of numbers which is most similar to the above case is:

$(16,100,256)=\left[\begin{array}{ccc}{4}^2,& (4+6{)}^2,& (4+6+6{)}^2\end{array}\right]$

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