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13 Dec 2016, 10:49
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If d is a positive integer, is d divisible by 36?
(1) d is divisible by 12.
(2) d is divisible by 3.
(1) d is divisible by 12.
(2) d is divisible by 3.
stonecold
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13 Dec 2016, 10:53
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Nice Question.
Here is my solution -->
We are asked if d is divisible by 36 or not.
Lets use test cases here
Statement 1-->
d=12
d=36
Hence insufficient
Statement 2-->
d=3
d=36
Hence insufficient.
Combing the two statements
d=12
d=36
Hence insufficient.
Hence E
Here is my solution -->
We are asked if d is divisible by 36 or not.
Lets use test cases here
Statement 1-->
d=12
d=36
Hence insufficient
Statement 2-->
d=3
d=36
Hence insufficient.
Combing the two statements
d=12
d=36
Hence insufficient.
Hence E
15 Dec 2016, 17:48
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Bunuel
If d is a positive integer, is d divisible by 36?
(1) d is divisible by 12.
(2) d is divisible by 3.
(1) d is divisible by 12.
(2) d is divisible by 3.
We are given that d is a positive integer and need to determine whether d/36 = integer.
Statement One Alone:
d is divisible by 12.
The information in statement one is not sufficient to answer the question. For instance, if d = 12, then d/36 is not an integer; however, if d = 36, then d/36 is an integer. We can eliminate answer choices A and D.
Statement Two Alone:
d is divisible by 3.
The information in statement two is not sufficient to answer the question. For instance, if d = 12, then d/36 is not an integer; however, if d = 36, then d/36 is an integer. We can eliminate answer choice B.
Statements One and Two Together:
Using statements one and two together, we know that d is a multiple of both 12 and 3, and thus, d is a multiple of the LCM of 12 and 3, which is 12. As we already showed, if d = 12, then d/36 is not an integer; however, if d = 36, then d/36 is an integer. We thus cannot establish a unique value for x. Both statements together are not sufficient.
Answer: E
