Question

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

13, 13, 14, 18, 45, 61, ?

1. 180
2. 176
3. 164
4. 186
5. None of these

Answer 1

Correct Answer - Option 4 : 186

Considering the above series,

13, 13, 14, 18, 45, 61, ?

The logic of the series can be explained as:

13 + 0² = 13

13 + 1³ = 14

14 + 2² = 18

18 + 3³ = 45

45 + 4² = 61

By observing the pattern, we can write

⇒ 61 + 5³ = ?

⇒ ? = 186

∴ The value of ? is 186.