Question

In each of the following questions, select the related number from the given alternatives.
$24$ $:$ $60$ $:$ $:$ $210$ $:$ $?$

• A. $504$
• B. $343$
• C. $336$
• D. $330$

Answer 1

The correct option is C $336$

The numbers in the set are obtained from an integer through following relation:
$x:(x^3-x)$
and the pairs are formed from consecutive integers.
Pair 1:
$3:(3^3-3)\Rightarrow 24$
$4:(4^3-4)\Rightarrow 60$
Pair 2:
$6:(6^3-6)\Rightarrow 210$
$7:(7^3-7)\Rightarrow 336$