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# If x is divisible by 18 and y is divisible by 12, which of t

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Retired Moderator
Joined: 07 Jun 2014
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If x is divisible by 18 and y is divisible by 12, which of t [#permalink]  12 Aug 2018, 16:07
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Question Stats:

81% (01:19) correct 18% (01:00) wrong based on 27 sessions
If x is divisible by 18 and y is divisible by 12, which of the following statements must be true?

Indicate all such statements.
A. x + y is divisible by 6.
B. xy is divisible by 48.
C. $$\frac{x}{y}$$ is divisible by 6.
[Reveal] Spoiler: OA

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Sandy
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Intern
Joined: 17 Sep 2017
Posts: 21
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Kudos [?]: 14 [0], given: 3

Re: If x is divisible by 18 and y is divisible by 12, which of t [#permalink]  15 Aug 2018, 04:25
I think the answer is A, not B and not C.
Retired Moderator
Joined: 07 Jun 2014
Posts: 4803
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 171

Kudos [?]: 2914 [1] , given: 394

Re: If x is divisible by 18 and y is divisible by 12, which of t [#permalink]  15 Aug 2018, 08:16
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Expert's post
Explanation

To solve this problem with examples, make a short list of possibilities for each of x and y:
x = 18, 36, 54…
y = 12, 24, 36…

Now try to disprove the statements by trying several combinations of x and y above. In the 1st statement, x + y could be 18 + 12 = 30, 54 + 12 = 66, 36 + 24 = 60, or many other combinations.

All of those combinations are multiples of 6. This makes sense, as x and y individually are multiples of 6, so their sum is, too. The first statement is true.

To test the second statement, xy could be 18(12) = 216, which is not divisible by 48. Eliminate the second statement.

As for the third statement, $$\frac{x}{y}$$ could be $$\frac{18}{12}$$, which is not even an integer (and therefore not divisible by 6), so the third statement is not necessarily true.
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Sandy
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Intern
Joined: 17 Sep 2017
Posts: 21
Followers: 1

Kudos [?]: 14 [0], given: 3

Re: If x is divisible by 18 and y is divisible by 12, which of t [#permalink]  15 Aug 2018, 09:10
So I am right. You've made a mistake posting answer as C.
Retired Moderator
Joined: 07 Jun 2014
Posts: 4803
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 171

Kudos [?]: 2914 [0], given: 394

Re: If x is divisible by 18 and y is divisible by 12, which of t [#permalink]  15 Aug 2018, 11:02
Expert's post
Simon wrote:
So I am right. You've made a mistake posting answer as C.

Yup! sorry about that it is A.
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Sandy
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Re: If x is divisible by 18 and y is divisible by 12, which of t   [#permalink] 15 Aug 2018, 11:02
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