Question:

In the following series find the one number that is wrong:
2, 3, 13, 37, 86, 167, 288

Show Hint

Check whether the gaps between terms are squares of consecutive odd numbers, then rebuild the series term by term to find the mismatch.
Updated On: Jul 14, 2026
  • 3
  • 13
  • 37
  • 86
Show Solution
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The Correct Option is B

Solution and Explanation

Differences should be squares of consecutive odd numbers: 1,9,25,49,81,121. Rebuilding: 2,3(+1),12(+9),37(+25),86(+49),167(+81),288(+121). Given series shows 13 instead of 12 at position 3 - the mismatch.

Final Answer: 13, option (2).
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