Question

3 10 24 50 ? 170
A 80
B 82
C 120
D 121
E None of these

Answer 1

Answer:

c 120 c 120 c 120 c120 c120 c120

Answer 2

Concept:

We first recall the concept of number series to solve this series.

Number series is a sequence of  letters, numbers or both arranged in a specific way that each term follows a rule.

Given:

The number series is 3 10 24 50 ? 170

To find:

The missing term of the series

Solution:

The terms of the series follows a pattern that

 $2^{2} -1 =3\\3^{2} +1=10\\5^{2}-1=24\\\; \; \; \; \;\;\;\;\;\;\; 7^{2}+1=50$

$11^{2}-1=120\\13^{2}+1=170$

For each term we get the answer by taking square of prime starting from 2 and then add 1 to it in even place terms and subtract 1 from it in odd place terms.

Hence, 120 is the missing term.

Option (C) is correct choice.