Question Detail

8, 9, 8, 7, 10, 9, 6, 11, 10, (...), 12

Answer: Option C

Explanation:

Please note that above sequence is containing 3 series
Series 1 : 8, 7, 6, (..)
Series 2 : 9, 10, 11, 12
Series 3 : 8, 9, 10

In series 1 pattern is -1. So missing term will be 6-1 = 5

1. 6, 11, 21, 36, 56, ?
what will replace the question mark in the series ?

Answer: Option B

Explanation:

Pattern is +5, +10, + 15, +20

Next number in the series will be 56 + 25 = 81

2. 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

3. 8, 9, 8, 7, 10, 9, 6, 11, 10, (...), 12

Answer: Option C

Explanation:

Please note that above sequence is containing 3 series
Series 1 : 8, 7, 6, (..)
Series 2 : 9, 10, 11, 12
Series 3 : 8, 9, 10

In series 1 pattern is -1. So missing term will be 6-1 = 5

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. 1,1,3,9,6,36,10,100,(..),225

Answer: Option D

Explanation:

Given sequence is combination of two series
Series 1 : 1,3,6,10,..
Series 2 : 1,9,36,100,225

In series 1 pattern is +2, +3, +4. So next term will be
10+5 = 15