Question

What should come in place of question mark ‘?’ in the following number series?

3, 9, 27, 57, 99, ?

1. 149
2. 150
3. 151
4. 152
5. 153

Answer 1

Correct Answer - Option 5 : 153

Considering the above series,

3, 9, 27, 57, 99, ?

The logic of the series can be explained as,

9 – 3 = 6 = (6 × 1)

27 – 9 = 18 = (6 × 3)

57 – 27 = 30 = (6 × 5)

99 – 57 = 42 = (6 × 7)

By observing the pattern, we can write

? – 99 = 54 = (6 × 9)

⇒ ? = 153

∴ The value of ? is 153.