SSC GD 2019 PYQ — Question 78

SSC GD Constable (English) - 11 Feb 2019 Shift 1 • Reasoning • Q78

Identify the correct option to complete the following series.

1, 3, 5, 11, 21, 43, 85, 171,?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 341.

Understanding

Given series: 1, 3, 5, 11, 21, 43, 85, 171,?

The logic used here is:

1 × 2 + 1 = 3

3 × 2 - 1 = 5

5 × 2 + 1 = 11

11 × 2 - 1 = 21

21 × 2 + 1 = 43

43 × 2 - 1 = 85

85 × 2 + 1 = 171

171 × 2 - 1 = 341

The next term in the series is 341.

Hence, option 3 is the correct answer.