Question

Q. Consider the number series given below $6,14,24,\_,50.$ What is the most likely option to fill in the missing term?

• A.
  28
• B.
  32
• C.
  36
• D.
  44

Answer 1

The correct option is C

36
Method 1:
(6 --- 14 --- 24 --- 36 --- 50)
$+8+10+12+14$
$6+8=14,14+10=24,24+12=36,36+14=50$

Method 2:
The series is $\to (5\times 1)-1^2,(5\times 2)+2^2,(5\times 3)+3^2,(5\times 4)+4^2$
So, the missing term will be $(5\times 4)+4^2=36$