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mediumMCQStaff Selection Commission2026General Intelligence and Reasoning
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In the following question, select the missing number from the given series.
5, 29, 73, 141, 237, 365, ?

  1. A
    529
  2. B
    422
  3. C
    500
  4. D
    525

Solution & Step-by-step Explanation

Let's find the differences between adjacent terms in the series:
29−5=24

73−29=44

141−73=68

237−141=96

365−237=128

Now let's examine the differences of these differences (second layer of difference):

44−24=20

68−44=24

96−68=28

128−96=32

The second-layer differences increase by +4 each time (20,24,28,32).
Following this rule, the next second-layer difference will be:

32+4=36
Adding this to the last first-layer difference:

128+36=164
Finally, adding this to the last term of the main series:

Missing term=365+164=529

Practice this question

Try it yourself before checking the explanation above.

In the following question, select the missing number from the given series.
5, 29, 73, 141, 237, 365, ?
A
529
B
422
C
500
D
525

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