Question

One term in the given number series is wrong. Find out the wrong term.

• A. 3
• B. 10
• C. 4
• D. 27

Hint:

For series involving squares and cubes, look for alternate patterns of powers like squares and cubes for terms.

Answer 1

The Correct Option is C

Step 1: Pattern identification of the series.
The series is: \( 3, 10, 27, 4, 16, 64, 25, 125 \). Analysis reveals that terms are intended to alternate between squares and cubes: \[3^2 = 9, \, 3^3 = 27, \, 4^2 = 16, \, 4^3 = 64, \, 5^2 = 25, \, 5^3 = 125.\]The term \( 4 \) deviates from this established pattern, indicating it is the erroneous element.

Step 2: Conclusion.
The incorrect term in the sequence is \( 4 \). Therefore, the correct answer is (C) 4.