If the product of four consecutive natural numbers increased

Home » Aptitude » Simplification » Question

If the product of four consecutive natural numbers increased by a natural number p, is a perfect square; then the value of p is

1. 8
2. 4
3. 2
4. 1

Correct Option: D

1× 2 × 3 × 4 = 24
⇒ 24 + 1 = 25 = 5² ;
2 × 3 × 4 × 5 = 120
⇒ 120 + 1 = 121 = 11²
∴ P = 1