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# If P & Q are positive integers, what is the value of Q ?

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If P & Q are positive integers, what is the value of Q ? [#permalink]

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28 Nov 2007, 00:55
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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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28 Nov 2007, 02:18
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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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.

I say C.
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28 Nov 2007, 10:24
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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28 Nov 2007, 12:54
looks really like C
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28 Nov 2007, 20:20
Alright Tiger uve held out long enough. wuts OA and OE?
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28 Nov 2007, 21:17
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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29 Nov 2007, 10:47
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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29 Nov 2007, 11:33
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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29 Nov 2007, 23:03
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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29 Nov 2007, 23:11
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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29 Nov 2007, 23:13
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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30 Nov 2007, 17:03
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
30 Nov 2007, 17:03
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