Question

If $n=1+x$, where $x$ is the product of four consecutive positive integers then which of the following is/are true:
A) n is odd

B) n is prime

C) n is a perfect square

• A. A and C only
• B. A and B only
• C. A only
• D. None of these

Answer 1

The correct option is A A and C only

Let us take $x=1\times 2\times 3\times 4=24$

Then $n=1+24=25$

i.e. an odd number and a perfect square
Again let $x=2\times 3\times 4\times 5=120.$

Then, $n=1+120=121$

i.e. an odd number and a perfect square
$\therefore$ Option (A) is correct