For any integer p, *p is equal to the product of all the integers between 1 and p, inclusive. How many prime numbers are there between *9 + 3 and *9 + 9, inclusive?
Answers:
A) None	B) One	C) Two	D) Three	E) Four
Generally *p or p! will be divisible by ALL numbers from 1 to p. Therefore, *9 would be divisible by all numbers from 1 to 9.   =&gt; *9+3 would give me a number which is a multiple of 3 and therefore divisible (since *9 is divisible by 3)   In fact adding anyprimenumber between 1 to 9 to *9 will definitely be divisible.   So the answer is none (A)!   Supposing if the question had asked for prime numbers between *9 + 3 and *9 + 11 then the answer would be 1. For *9 +3 and *9 + 13, it is 2 and so on...   None
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For any integer p, *p is equal to the product of all the integers between 1 and p, inclusive. How many prime numbers are there between *9 + 3 and *9 + 9, inclusive?