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: Identify the pattern of the series.
The series is: \( 3, 10, 27, 4, 16, 64, 25, 125 \). We observe that each term alternates between squares and cubes: \[ 3^2 = 9, \, 2^3 = 8, \, 4^2 = 16, \, 5^3 = 125. \] Looking at the fourth term \( 4 \), this does not fit the expected sequence as it should be a square or cube. Hence, \( 4 \) is the wrong term.

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