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Question

Let x be a prime number such that x23. Given that y= x!+1. The number of primes in the list y+1, y+2, y+3...y+x-1 is?


A

x-1

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B

2

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C

1

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D

none of these

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Solution

The correct option is D

none of these


For 1nx1, y+n=x!+n+1, which is divisible by n+1 always.

Therefore, there is no prime number in this list.


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