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What is the remainder when the positive integer x is divided by 6?

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What is the remainder when the positive integer x is divided by 6? [#permalink]

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New post 29 Jan 2016, 03:19
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E

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Question Stats:

57% (01:21) correct 43% (01:10) wrong based on 76 sessions

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What is the remainder when the positive integer x is divided by 6?

(1) When x is divided by 7, the remainder is 5.
(2) When x is divided by 9, the remainder is 3.
[Reveal] Spoiler: OA

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Re: What is the remainder when the positive integer x is divided by 6? [#permalink]

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New post 29 Jan 2016, 03:30
IMO : E
12, when divided by 7 leaves a remainder 5 & when divided by 9 leaves a remainder 3
So 12/6 remainder 0

75 , when divided by 7 leaves a remainder 5 & when divided by 9 leaves a remainder 3
So 75/6 remainder 3

So the answer is E

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Re: What is the remainder when the positive integer x is divided by 6? [#permalink]

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New post 15 Sep 2017, 12:17
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Re: What is the remainder when the positive integer x is divided by 6? [#permalink]

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New post 15 Sep 2017, 13:05
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Imo E
From the fist condition we can not determine any value of X as there are two variable X=7a+5
a can any value
From statement 2
We have X=9b+3
From this also we can deduce whether X is divisible by 6
If taken together the equation becomes
63Q+12
Here Q is any positive integer
We see that both the statements taken together are not sufficient.


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Kudos [?]: 69 [0], given: 534

Re: What is the remainder when the positive integer x is divided by 6?   [#permalink] 15 Sep 2017, 13:05
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