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Question

Complete the series.
$25, 36, 49, 64, 81, ?$

This question was previously asked in
SSC CGL 2025 Tier 2 Paper 1 Question Paper (19-Jan-2026)
The correct answer is
100

Series Pattern Identification

The given series is 25, 36, 49, 64, 81, ?. We need to find the pattern governing this sequence.

  • Observe the numbers in the series: 25, 36, 49, 64, 81.
  • Recognize that each number is a perfect square:
    • $25 = 5^2$
    • $36 = 6^2$
    • $49 = 7^2$
    • $64 = 8^2$
    • $81 = 9^2$
  • The series consists of the squares of consecutive integers starting from 5.

Calculating the Next Term

Following the established pattern, the next integer after 9 is 10.

Therefore, the next term in the series is the square of 10:

$10^2 = 100$

The completed series is 25, 36, 49, 64, 81, 100.

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