If the product of four consecutive natural numbers increased by a nat…

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 = ?

Accepted Answer

Option A. 1. Answer & Solution Answer: Option A Solution: & We have, & 1 × 2 × 3 × 4 = 24 & And 24 + 1 = 25 [ 25 = 5^2 ] & 2 × 3 × 4 × 5 = 120 & And 120 + 1 = 121 [ 121 = 11^2 ] & 3 × 4 × 5 × 6 = 360 & And 360 + 1 = 361 [ 361 = 19^2 ] & 4 × 5 × 6 × 7 = 840 & And 840 + 1 = 841 [ 841 = 29^2 ]…