Question

The sum of a number's square, its cube and its next number's cube is 205. What is the number?
1. 6
2. 3
3. 5
4. 4

Answer 1

Correct Answer - Option 4 : 4

Given,

The sum of a number's square, its cube and its next number's cube is 205.

By options,

1) 6 → 6² + 6³ + 7³ = 36 + 216 + 343 = 595 ≠ 205

2) 3 → 3² + 3³ + 4³ = 9 + 27 + 64 = 100 ≠ 205

3) 5 → 5² + 5³ + 6³ = 25 + 125 + 216 = 366 ≠ 205

4) 4 → 4² + 4³ + 5³ = 16 + 64 + 125 =205

Hence, the correct answer is 4.