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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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