Given that p and q are positive, prime numbers greater than : GMAT Data Sufficiency (DS)
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# Given that p and q are positive, prime numbers greater than

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Given that p and q are positive, prime numbers greater than [#permalink]

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10 Nov 2012, 04:17
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Given that p and q are positive, prime numbers greater than 3, what is the product of 2p and 4q?

(1) The Least Common Multiple (LCM) of 2p and 4q is 140

(2) The Greatest Common Divisor (GCD) of 2p and 4q is 2.
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Re: Given that p and q are positive, prime numbers greater than [#permalink]

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10 Nov 2012, 04:24
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Given that p and q are positive, prime numbers greater than 3, what is the product of 2p and 4q?

(1) The Least Common Multiple (LCM) of 2p and 4q is 140 --> 140=2^2*5*7. Since we know that p and q are prime numbers greater than 3 and factors of 140, then p=5 and q=7 or vise-versa (p=q=5 or p=q=7 is not possible because in this case LCM won't be 140, it would be less). Sufficient.

(2) The Greatest Common Divisor (GCD) of 2p and 4q is 2. This statement just implies that $$p\neq{q}$$, thus any two different primes greater than 3 will satisfy this condition. Not sufficient.

Hope it's clear.
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Re: Given that p and q are positive, prime numbers greater than [#permalink]

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23 Jun 2016, 08:27
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Re: Given that p and q are positive, prime numbers greater than   [#permalink] 23 Jun 2016, 08:27
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