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# 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

1.A and C only

2.A and B only

3.A only

None of theseLet
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

## Video Explanation