SSC CPO 2019 PYQ — Question 195

SSC CPO Tier I - 12th March 2019 - Shift 1 • Reasoning • Q195

Select the option that will fill in the blank and complete the given series.

7, 16, 40, 84, _____, 252

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 153

Understanding

Given series: 7, 16, 40, 84, _____, 252

Logic: 

Applying subtraction to the given series,

16 - 7 = 9

40 - 16 = 24

84 - 40 = 44

Applying subtraction to the differences obtained,

24 - 9 = 15

44 - 24 = 20

This means there is a difference of 5, hence the 3rd step series would be: 15, 20, 25, 30

Therefore,

44 + 25 = 69; 69 + 30 = 99 (This gives the 2nd step series)

Now, 84 + 69 = 153; 153 + 99 = 252

Hence, the correct answer is 153