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Question

In the following number series, a wrong number is given. Find out the WRONG number.
1, 4, 16, 64, 324

This question was previously asked in
SSC CGL 2025 Tier 1 Question Paper (25-Sep-2025) (Shift 3)
The correct answer is
324

Number Series Logic Explained

The task is to identify the incorrect number in the given number series: 1, 4, 16, 64, 324.

Analyzing the Series Pattern

Let's examine the relationship between consecutive terms in the series:

  • The first term is 1.
  • The second term is 4, which is $1 \times 4$.
  • The third term is 16, which is $4 \times 4$.
  • The fourth term is 64, which is $16 \times 4$.

The pattern observed is that each term is obtained by multiplying the previous term by 4.

Identifying the Incorrect Term

Following this pattern ($ \text{Previous Term} \times 4 $):

  • $ 1 \times 4 = 4 $ (Correct)
  • $ 4 \times 4 = 16 $ (Correct)
  • $ 16 \times 4 = 64 $ (Correct)
  • $ 64 \times 4 = 256 $ (Expected term)

The series provides the number 324 instead of 256.

Therefore, 324 is the WRONG number in the series.

Conclusion

The number 324 breaks the established pattern of multiplying by 4. The correct number should have been 256.

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