Z is the product of first 31 natural numbers. If X = Z + 1, then the numbers of primes among X + 1, X + 2, ..., X + 29, X + 30 is
Explanation:
Z = 31!
Z is divisible by all numbers less than 32.
X = 31! + 1
X + 1 = 31! + 2, will be divisible by 2,
X + 2 = 31! + 3 will be divisible by 3,
X + 3 = 31! + 4 will be divisible by 4 and so on.
Hence none of the numbers will be prime.
Hence, option (d).
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