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If P & Q are positive integers, what is the value of Q ? [#permalink]
 28 Nov 2007, 01:55
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If P & Q are positive integers, what is the value of Q ?
1. S is the product of two prime numbers greater than 10
2. S = P x Q^3
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Manager
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Q can only be 1, and the answer is (D) - both statements together are sufficient.
1 doesn't say that P and Q are both greater than 10 - although you could easily be misled into assuming this.
I think that the factors of the product of two primes can only be those primes (plus the number itself and 1). Q^3 can't be both a prime and a "cube" of anything other than one. So it must be 1.
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CEO
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Re: DS: intresting DS [#permalink]
28 Nov 2007, 11:05
GMAT TIGER wrote: If P & Q are positive integers, what is the value of Q ?
1. S is the product of two prime numbers greater than 10
2. S = P x Q^3
1: doesnt tell us anything about P or Q. Insuff.
2: Doesnt tell us anything about what S is. S could be 16 and p and q could be 2. thus 2^4. Or S could be 81 Thus 3^4 p=q. there is no way of knowing the value of Q on S2 alone.
together since we know that S is the product of two prime numbers greater than 10. P*Q^3---> Q must be 1. b/c if it were any other integer then P*Q^3 would not equal S. This essentially means that S=P.
I say C.
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SVP
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Re: DS: intresting DS [#permalink]
28 Nov 2007, 11:24
GMAT TIGER wrote: If P & Q are positive integers, what is the value of Q ?
1. S is the product of two prime numbers greater than 10
2. S = P x Q^3
A,b are obviously insuff
togrther
s/p = Q^3 then sure =1
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CEO
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looks really like C 
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CEO
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Alright Tiger uve held out long enough. wuts OA and OE?
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Senior Manager
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Raffie wrote: Q can only be 1, and the answer is (D) - both statements together are sufficient.
1 doesn't say that P and Q are both greater than 10 - although you could easily be misled into assuming this.
I think that the factors of the product of two primes can only be those primes (plus the number itself and 1). Q^3 can't be both a prime and a "cube" of anything other than one. So it must be 1.
I don't understand. Where's the trick? To me it only says that both primes are greater than 10. Please explain
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CEO
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Raffie wrote: Q can only be 1, and the answer is (D) - both statements together are sufficient.
1 doesn't say that P and Q are both greater than 10 - although you could easily be misled into assuming this.
I think that the factors of the product of two primes can only be those primes (plus the number itself and 1). Q^3 can't be both a prime and a "cube" of anything other than one. So it must be 1. GMAT TIGER wrote: GMAT TIGER wrote: If P & Q are positive integers, what is the value of Q ?
1. S is the product of two prime numbers greater than 10
2. S = P x Q^3 OA is B. i got this question from here.
since S = P Q^3 and S is a product of two primes grater than 10, P is a multiple of those primes and Q should be 1.
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CEO
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GMAT TIGER wrote: Raffie wrote: Q can only be 1, and the answer is (D) - both statements together are sufficient.
1 doesn't say that P and Q are both greater than 10 - although you could easily be misled into assuming this.
I think that the factors of the product of two primes can only be those primes (plus the number itself and 1). Q^3 can't be both a prime and a "cube" of anything other than one. So it must be 1. GMAT TIGER wrote: GMAT TIGER wrote: If P & Q are positive integers, what is the value of Q ?
1. S is the product of two prime numbers greater than 10
2. S = P x Q^3 OA is B. i got this question from here. since S = P Q^3 and S is a product of two primes grater than 10, P is a multiple of those primes and Q should be 1. How is it B? All S2 says is that S=P x Q^3? We don't know if S is the product of two primes when taking S2 alone.
As I said above Q must be 1. But we can't deduce that from statement 2 alone...????????
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CEO
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Sorry guys for the confusion.
Its C not B. I had different question in my mind but I posted different question. I will post that one later.
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CEO
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GMAT TIGER wrote: Sorry guys for the confusion.
Its C not B. I had different question in my mind but I posted different question. I will post that one later.
count: 1 
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CEO
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walker wrote: GMAT TIGER wrote: Sorry guys for the confusion.
Its C not B. I had different question in my mind but I posted different question. I will post that one later. count: 1 yah, i deserve that. thanks. 
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walker wrote: GMAT TIGER wrote: Sorry guys for the confusion.
Its C not B. I had different question in my mind but I posted different question. I will post that one later. count: 1 Rofl. just checked the update on this. had a few other quant nuts on this prob. I think il makem sweat a little longer 
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