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10 Nov 2012, 05:17
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
61% (01:51) correct
39%
(01:43)
wrong
based on 221
sessions
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Not Attempted Yet
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.
(1) The Least Common Multiple (LCM) of 2p and 4q is 140
(2) The Greatest Common Divisor (GCD) of 2p and 4q is 2.
10 Nov 2012, 05:24
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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.
Answer: A.
Hope it's clear.
(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.
Answer: A.
Hope it's clear.
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01 Jun 2017, 15:46
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I got to A the same way Bunuel explained.
we have 2p & 4q
since p and q are primes and definitely not even, pq will be 35 (140 / 2 = 70, and we have one more factor of 2 = 35)
since the question indirectly asks for pq - we can answer the question.
I can see why some guys would pick C - the product of two numbers is the product of LCM and GCF of these two numbers.
unfortunately, it is not the case, and B itself is not sufficient either.
we have 2p & 4q
since p and q are primes and definitely not even, pq will be 35 (140 / 2 = 70, and we have one more factor of 2 = 35)
since the question indirectly asks for pq - we can answer the question.
I can see why some guys would pick C - the product of two numbers is the product of LCM and GCF of these two numbers.
unfortunately, it is not the case, and B itself is not sufficient either.
