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Is 3 a factor of the integer x? (1) 3 is a factor of 5x (2) 3 is a fac

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Bunuel
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Is 3 a factor of the integer x? (1) 3 is a factor of 5x (2) 3 is a fac [#permalink] New post   11 Dec 2018, 01:38
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Is 3 a factor of the integer x?


(1) 3 is a factor of 5x

(2) 3 is a factor of 6x
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Re: Is 3 a factor of the integer x? (1) 3 is a factor of 5x (2) 3 is a fac [#permalink] New post   11 Dec 2018, 01:51
Bunuel wrote:
Is 3 a factor of the integer x?


(1) 3 is a factor of 5x

(2) 3 is a factor of 6x



Statement 1: 5 is not divisible by 3. So 3 must be the factor of x. Sufficient.

Statement 2: 6 is divisible by 3. So regardless of the value of x , 6x is an integer. Not sufficient.
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Re: Is 3 a factor of the integer x? (1) 3 is a factor of 5x (2) 3 is a fac [#permalink] New post   11 Dec 2018, 05:02
Bunuel wrote:
Is 3 a factor of the integer x?


(1) 3 is a factor of 5x

(2) 3 is a factor of 6x



from 1:

3 to be a factor of 5x ; it has to be a factor of x so sufficient

from 2 6x : 6 is already a factor of 3 so x may or may not be a factor of 3 .. not sufficient

IMO A
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Re: Is 3 a factor of the integer x? (1) 3 is a factor of 5x (2) 3 is a fac [#permalink] New post   11 Dec 2018, 12:46
Bunuel wrote:
Is 3 a factor of the integer x?


(1) 3 is a factor of 5x

(2) 3 is a factor of 6x


(1) 3 is a factor of 5x

As 3 is not factor of 5, then 3 must be factor of x

Sufficient

(2) 3 is a factor of 6x

Let x =1.......3 is a factor of 6........ but 3 is not factor of 1........Answer is No

Let x =3.......3 is a factor of 18........ but 3 is not factor of 1........Answer is Yes

Insufficient

Answer: A
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Re: Is 3 a factor of the integer x? (1) 3 is a factor of 5x (2) 3 is a fac [#permalink]
11 Dec 2018, 12:46
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Bunuel
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