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Is the number x a multiple of 12?

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Is the number x a multiple of 12?  [#permalink]

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New post 22 Dec 2018, 20:13
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A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

58% (00:43) correct 42% (00:43) wrong based on 70 sessions

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Is the number x a multiple of 12?

1) Both 3 and 4 divide into x evenly.
2) Both 2 and 6 divide into x evenly.
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Re: Is the number x a multiple of 12?  [#permalink]

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New post 22 Dec 2018, 21:46
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1. 3 and 4 are co primes to each other. Hence, x must be a multiple of 12. SUFFICIENT.

2. 2 and 6 are not co prime. For example, take 18. It is divisible by 2 as well as 6. So, INSUFFICIENT.

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Re: Is the number x a multiple of 12?  [#permalink]

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New post 23 Dec 2018, 01:21
MSFApplicant wrote:
Is the number x a multiple of 12?

1) Both 3 and 4 divide into x evenly.
2) Both 2 and 6 divide into x evenly.


If the number x is a multiple of 12, the number will be of form \(2^2 * 3 * x\)

1. Both \(3\) and \(4(2^2)\) divide the number evenly.
Now, the number has to be a multiple of 12 because at the
bare minimum the number will have \(2^2*3\) or \(12\) (Sufficient)

2. Both \(2\) and \(6(2*3)\) divide into x evenly.
If the number is 24, then it will be a multiple of 12. But, 18 which
is evenly divided by 2 and 6 is not a multiple of 12 (Insufficient)(Option B)
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Re: Is the number x a multiple of 12?  [#permalink]

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New post 08 Jan 2019, 17:12
How about if x was 39?

39 is a multiple of 3
square root (39-3) = 6 which is not odd

thus both statements are not sufficient.

Consensus seems to be that C is the correct answer, so I'm confused why x=39 wouldn't validate answer to be E
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Re: Is the number x a multiple of 12?   [#permalink] 08 Jan 2019, 17:12
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