Given series formed in definite pattern and next number follows the predecessor. 

1)

FInd the next term of the series 0,7,2,17,6,31,12,49,20....


A) 61

B) 71

C) 51

D) 81

Answer:

Option B

Explanation:

1st,3rd,5th,7th,9th terms are 0,2,6,12,20....
( difference between the numbers are in even number of increasing order 2,4,6,8,10..)-------(1)
2nd,4th,6th,8th terms are 7,17,31,49 ...
(difference in increasing order of 10,14,18....)-------(2)
Last term of the series belongs to (1) .So, next term will be from (2). 
Adding 22 to 49 to get 71.