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Which of the following pairs comes next in the series, 36, 31 , 29, 24, 22, 17, 15
Question

Which of the following pairs comes next in the series,

36, 31 , 29, 24, 22, 17, 15

A.

11,13

B.

13,8

C.

10,8

D.

12,7

Correct option is C

Given Series:

36, 31, 29, 24, 22, 17, 15

We need to find the next pair in the series.

Pattern Analysis:

  1. Observe the difference between consecutive terms:

    • 36−31=536 - 31 = 53631=5
    • 31−29=231 - 29 = 23129=2
    • 29−24=529 - 24 = 52924=5
    • 24−22=224 - 22 = 22422=2
    • 22−17=522 - 17 = 52217=5
    • 17−15=217 - 15 = 21715=2
  2. The differences alternate between 5 and 2.

Next Term:

  • Since the last difference is 222, the next difference will be 5.
  • Subtract 555 from 151515:15−5=1015 - 5 = 10155=10
  1. The term after that will have a difference of 222:
    • Subtract 222 from 101010:10−2=810 - 2 = 8102=8

Final Answer:

The next pair in the series is 10, 8

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