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If n is an integer, then n is divisible by how many positive [#permalink]
 02 Jul 2011, 01:10
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If n is an integer, then n is divisible by how many positive integers? (1) n and 3^4 are divisible by the same number of positive numbers. (2) n is the product of 2 and an odd prime number.
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Re: n divisible by how many positive integers [#permalink]
02 Jul 2011, 01:55
(1) says : 3^4 has (3+1) = 4 factors Hence n also has 4 factors Sufficient. (2) says : n = 2 * K, where k is an odd prime number So n has (1+1) * (1+1) = 2*2 = 4 factors Sufficient Answer - D
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Re: n divisible by how many positive integers [#permalink]
02 Jul 2011, 02:03
vinayrsm wrote: If n is an integer, then n is divisible by how many positive integers?
(1) n and 3^4 are divisible by the same number of positive numbers.
(2) n is the product of 2 and an odd prime number. St1 and St2 are contradicting each other. St1 says n has 5 positive factors; St2 says n has 4 positive factors. If we ignore this discrepancy, both statements are sufficient because we get a definite number of +ve factors for n. Ans: "D"
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Re: n divisible by how many positive integers [#permalink]
02 Jul 2011, 02:08
Yes, you're right. I was in slight hurry and read 4 as 3
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Re: n divisible by how many positive integers [#permalink]
02 Jul 2011, 02:47
Hi Subhash & Fluke, I want to get confirmation that "statements contradict" eachother - thats the reason behind posting this question. I was wondering whether I am missing something here. Great. thanks both!
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Re: n divisible by how many positive integers [#permalink]
02 Jul 2011, 02:59
vinayrsm wrote: If n is an integer, then n is divisible by how many positive integers?
(1) n and 3^4 are divisible by the same number of positive numbers.
(2) n is the product of 2 and an odd prime number. Whats the source? looks like the 2 statements contradict each other and this never happens on real GMAT. st:1- n has 5 factors. ( unless there is a typo and it reads as 3^3) S :2- n has 4 factors. has to be D
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Re: n divisible by how many positive integers [#permalink]
04 Jul 2011, 02:21
subhashghosh wrote: (1) says :
3^4 has (3+1) = 4 factors
Hence n also has 4 factors
Sufficient.
(2) says :
n = 2 * K, where k is an odd prime number
So n has (1+1) * (1+1) = 2*2 = 4 factors
Sufficient
Answer - D from Statement 1 3^4 has 5 factors as below 1, 3^1, 3^2, 3^3, 3^4hence sufficient from Statement 1 n = 2 * K, where k is an odd prime number has 4 factors as below 1, 2, k,2*k Sufficient Hence D is the answer hope this helps.... 
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Re: n divisible by how many positive integers
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04 Jul 2011, 02:21
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