Q3 REMAINDERS

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

Let us take x=1×2×3×4=24

Then n=1+24=25

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

Then, n=1+120=121

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

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