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If w and k are distinct positive integers, do they have any common div
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08 Jan 2017, 07:11
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42% (01:13) correct 58% (01:05) wrong based on 81 sessions
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Re: If w and k are distinct positive integers, do they have any common div
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08 Jan 2017, 13:46
vitaliyGMAT wrote: Bunuel wrote: If w and k are distinct positive integers, do they have any common divisors other than 1 ?
(1) k – w = 3w (2) k and w are even. (1) k = 4w k is a multiple of w. Sufficient. (2) k=2x, w=2y. Both of them have at least one 2 as a factor. Sufficient. Answer D 1) K=4W If w and k are distinct positive integers, in this case, w must be the common divisor of K and W, but what if the value of w is 1? if w=1, k=4, there is no other common divisor of W and K other than 1 for other cases, there will always be w as a common divisor for K and w where w>1 Not sufficient 2) 2 will always be a common divisor for K and W, so sufficient So, answer should be B. Correct me if I am wrong. +1 Kudos if you like the post




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Re: If w and k are distinct positive integers, do they have any common div
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08 Jan 2017, 08:58
Bunuel wrote: If w and k are distinct positive integers, do they have any common divisors other than 1 ?
(1) k – w = 3w (2) k and w are even. (1) k = 4w k is a multiple of w. Sufficient. (2) k=2x, w=2y. Both of them have at least one 2 as a factor. Sufficient. Answer D



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Re: If w and k are distinct positive integers, do they have any common div
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08 Jan 2017, 22:50
AR15J wrote: vitaliyGMAT wrote: Bunuel wrote: If w and k are distinct positive integers, do they have any common divisors other than 1 ?
(1) k – w = 3w (2) k and w are even. (1) k = 4w k is a multiple of w. Sufficient. (2) k=2x, w=2y. Both of them have at least one 2 as a factor. Sufficient. Answer D 1) K=4W If w and k are distinct positive integers, in this case, w must be the common divisor of K and W, but what if the value of w is 1? if w=1, k=4, there is no other common divisor of W and K other than 1 for other cases, there will always be w as a common divisor for K and w where w>1 Not sufficient 2) 2 will always be a common divisor for K and W, so sufficient So, answer should be B. Correct me if I am wrong. +1 Kudos if you like the post Yep, I missed 1 as a valid option for w.



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Re: If w and k are distinct positive integers, do they have any common div
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17 Apr 2018, 08:19
AR15J wrote: vitaliyGMAT wrote: Bunuel wrote: If w and k are distinct positive integers, do they have any common divisors other than 1 ?
(1) k – w = 3w (2) k and w are even. (1) k = 4w k is a multiple of w. Sufficient. (2) k=2x, w=2y. Both of them have at least one 2 as a factor. Sufficient. Answer D 1) K=4W If w and k are distinct positive integers, in this case, w must be the common divisor of K and W, but what if the value of w is 1? if w=1, k=4, there is no other common divisor of W and K other than 1 for other cases, there will always be w as a common divisor for K and w where w>1 Not sufficient 2) 2 will always be a common divisor for K and W, so sufficient So, answer should be B. Correct me if I am wrong. +1 Kudos if you like the post But it should be D, since he has asked for any divisor other than one, nothing specific.



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Re: If w and k are distinct positive integers, do they have any common div
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18 Apr 2018, 04:32
[/quote]
But it should be D, since he has asked for any divisor other than one, nothing specific.[/quote]
Hello
The question asks whether w and k have any divisor other than 1 or not. So we need to answer this question with a clear cut YES or a clear cut NO. If a statement gives us a sureshot YES or a sureshot NO answer to this question then that statement will be sufficient to answer this question, else not.
In Statement 1, if w=1, then k=4. In this case there is no other common divisor than 1. But if w=2, then k=8, and there is a common divisor of 2 also. So this statement is NOT sufficient to answer the question asked (since there are different answers of YES or NO for different cases).




Re: If w and k are distinct positive integers, do they have any common div &nbs
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18 Apr 2018, 04:32






