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15 Dec 2016, 04:42
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
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Question Stats:
59% (00:56) correct
41%
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wrong
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What is the least possible common multiple of positive integers x and y?
(1) x and y are each greater than 50.
(2) x = y
(1) x and y are each greater than 50.
(2) x = y
15 Dec 2016, 05:44
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Option B)
Given: X & Y are positive integers
: LCM (X,Y) ?
I: X > 50 & Y > 50
: X & Y could be any integer > 50, hence Insufficient.
II: X = Y
: LCM (X,Y) = X = Y, hence Sufficient.
Given: X & Y are positive integers
: LCM (X,Y) ?
I: X > 50 & Y > 50
: X & Y could be any integer > 50, hence Insufficient.
II: X = Y
: LCM (X,Y) = X = Y, hence Sufficient.
Updated on: 15 Dec 2016, 10:36
Originally posted by vitaliyGMAT on 15 Dec 2016, 06:01.
Last edited by vitaliyGMAT on 15 Dec 2016, 10:36, edited 1 time in total.
Last edited by vitaliyGMAT on 15 Dec 2016, 10:36, edited 1 time in total.
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As I understand we need to find the exact value of LCM (x, y)
(1) x > 50, y > 50. Clearly insufficient because they can take any values beyond 50.
(2) x = y In this case LCM (x, y) = x = y = GCD (x, y) Had we known at least one integer than the option would have been sufficient. But because we don’t know any exact value of x or y – insufficient.
(1) & (2) Again x = y = 51 or x = y = 600 Insufficient.
All spins around the question: do we need to find exact value of LCM? If no, than (2) is sufficient.
(1) x > 50, y > 50. Clearly insufficient because they can take any values beyond 50.
(2) x = y In this case LCM (x, y) = x = y = GCD (x, y) Had we known at least one integer than the option would have been sufficient. But because we don’t know any exact value of x or y – insufficient.
(1) & (2) Again x = y = 51 or x = y = 600 Insufficient.
All spins around the question: do we need to find exact value of LCM? If no, than (2) is sufficient.
