Question

Identify the number that does not belong in the given series:
1, 8, 27, 64, 125, 216, 344, 512, 729

• A. 512
• B. 729
• C. 64
• D. 344

Hint:

In number series, look for common mathematical patterns such as squares, cubes, or arithmetic progressions to identify the odd term.

Answer 1

The Correct Option is D

The given series is: 1, 8, 27, 64, 125, 216, 344, 512, 729.
Observe the pattern: Most of these numbers are perfect cubes.
- \(1 = 1^3\)
- \(8 = 2^3\)
- \(27 = 3^3\)
- \(64 = 4^3\)
- \(125 = 5^3\)
- \(216 = 6^3\)
- \(512 = 8^3\)
- \(729 = 9^3\)
Notice that the number 344 does not fit in this pattern because
344 is not a perfect cube. Also, the cube of 7 is \(7^3 = 343\),
but 344 is given instead of 343.
Therefore, 344 is the odd one out and does not belong to the series.