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Question

What should come in place of the question mark (?) in the given series? 

25 32 41 52 65 ?6663

This question was previously asked in
RRB Group D 2024 Question Paper PDF (27-Dec-2025) (Shift 2)
The correct answer is

80

 To find the missing number in the series \(25, 32, 41, 52, 65, \, ? \, , 6663\), observe the pattern and derive the next number accordingly.

  1. Start by identifying the differences between consecutive numbers in the series:
    • \(32 - 25 = 7\)
    • \(41 - 32 = 9\)
    • \(52 - 41 = 11\)
    • \(65 - 52 = 13\)
  2. Notice that the differences follow a sequence of incrementing odd numbers: 7, 9, 11, 13, etc.
  3. Predict the next difference in this pattern. The series appears to be increasing by a sequence of consecutive odd numbers. Following this pattern, the next number should increase by \(15\) (since \(15\) is the next odd number after \(13\)).
  4. Add \(15\) to the last known number in the sequence:
    • \(65 + 15 = 80\)
  5. Thus, the missing number in the sequence is 80.
  6. Verify by checking the next number in sequence behavior (\(80\)), ensuring it follows the established pattern. For completeness, checking this does not conflict with any recognized patterns or assumptions is beneficial. The next number will continue with another pattern, likely involving other operations or scales since a large jump to \(6663\) requires additional context not examined here.

Thus, the correct answer is 80.

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