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Iift 2012 Question 40

This is a detailed step-by-step solution for Iift 2012 Question 40. Understand the concept, common mistakes, and expert tips to solve similar questions in IIFT exam.

IIFT 2012

Explanation:
It is given that Z = 31!
X = 31! + 1
X+1 = 31!+2 this is divisible by 2
X+2 = 31!+3 this is divisible by 3
X+3 = 31!+4 this is divisible by 4
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X+29 = 31!+30 this is divisible by 30
X+30 = 31!+31 this is divisible by 31
Hence, none of X + 1, X + 2, ..., X + 29, X + 30 is a prime number.
Hence, option D is the correct answer.

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