2024 · Q79
Consider the following statements in respect of p = n(n +
- 1(n +
- 2(n +
- 3+ 1 where n is a natural number: I. p is always odd II. p is a perfect square Which of the statements given above is/are correct?
Elementary MathematicsNumber System
- AI only
- BII only
- CBoth I and II
- DNeither I nor II
Explanation
n(n+1)(n+2)(n+3)+1 = (n²+3n+1)², a perfect square — II correct. The product of four consecutive integers is even, so p = even+1 is odd — I correct. Both hold — option C.