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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.

Re: DS: intresting DS [#permalink]
28 Nov 2007, 10:05

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.

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

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.

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...????????