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Question

In the following question, select the missing number from the given series.

169, 196, 225, 256, ?

This question was previously asked in
SSC CGL 2025 Tier 2 Paper 1 Question Paper (19-Jan-2026)
The correct answer is
289

Identify the Number Series Pattern

The given number series is 169, 196, 225, 256, ?.

Let's examine the relationship between the numbers in the series:

  • The first number is $169 = 13 \times 13 = 13^2$.
  • The second number is $196 = 14 \times 14 = 14^2$.
  • The third number is $225 = 15 \times 15 = 15^2$.
  • The fourth number is $256 = 16 \times 16 = 16^2$.

The pattern observed is that each number in the series is the square of consecutive integers, starting from 13.

Calculate the Missing Number

Following the established pattern, the next integer after 16 is 17.

Therefore, the missing number is the square of 17.

Calculation: $17^2 = 17 \times 17 = 289$.

The missing number in the series is 289.

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