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CAT 1999 | Question: 65

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

  1. n is odd
  2. n is prime
  3. n is a perfect square
    1. A and C only
    2. A and B only
    3. A only
    4. None of these

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Ans (A) A and C only

Product of any four consecutive number is an even number , So, adding 1 will give an odd number

It is also a perfect square (taking any example we can see it)

But it will must be not prime
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