Question Detail

1,6,15,(...),45,66,91

Answer: Option B

Explanation:

Pattern in the series is, +5, +9, .., .., +21, +25
So 4 is getting increased at every term addition.
Missing term in the series will be 15+(9+4)
= 15+13 = 28

1. 2,5,9,?,20,27, what will replace the question mark ?

Answer: Option B

Explanation:

Pattern is +3,+4,..,..,+7, so +5 and +6 will be in the blanks

Question mark will be replaced by 9+5 = 14

2. 5, 6, 7, 8, 10, 11, 14, (...) ?

Answer: Option D

Explanation:

Please check that given sequence consists of two series

Series 1: 5, 7, 10, 14
Series 2: 6, 8, 11, ...

In series 2 pattern is +2, +3, Next will be +4
So required number in the series will be 11+4 = 15

3. 13, 32, 24, 43, 35, (...), 46, 65, 57, 76

Answer: Option B

Explanation:

There are two series in this sequence
Series 1: 13, 24, 35, 46, 57
Series 2: 32, 43, (..), 65, 76

The pattern it is following is +11
Missing number will be 43 + 11 = 54

4. 3, 12, 27, 48, 75, 108,

Answer: Option D

Explanation:

Series is having pattern
\begin{aligned}
3*1^2, 3*2^2, 3*3^2, ......\\
\text{Next will be } 3*7^2 = 147
\end{aligned}

5. 5,9,17,29,45, ?

Answer: Option C

Explanation:

In this series the pattern is +4, +8, +12, +16, so next will be +20

Term which will replace the question mark in this series will be 45+20 = 65