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# Is x a multiple of 4?

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Intern
Joined: 06 Mar 2019
Posts: 6
Is x a multiple of 4?  [#permalink]

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22 Sep 2019, 07:34
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Difficulty:

55% (hard)

Question Stats:

67% (01:27) correct 33% (01:29) wrong based on 33 sessions

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Is x a multiple of 4?

(1) x + 2 is divisible by 2

(2) 6 is a factor of 3x
Senior Manager
Joined: 29 Jun 2019
Posts: 425
Re: Is x a multiple of 4?  [#permalink]

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22 Sep 2019, 08:42
1
AS0306 wrote:
Is x a multiple of 4?

(1) x + 2 is divisible by 2

(2) 6 is a factor of 3x

Dear! This question is for data sufficiency section.

Posted from my mobile device
Math Expert
Joined: 02 Sep 2009
Posts: 58396
Re: Is x a multiple of 4?  [#permalink]

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22 Sep 2019, 08:52
AS0306 wrote:
Is x a multiple of 4?

(1) x + 2 is divisible by 2

(2) 6 is a factor of 3x

Dear! This question is for data sufficiency section.

Posted from my mobile device

Moved to DS forum. Thank you for noticing.
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Re: Is x a multiple of 4?  [#permalink]

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22 Sep 2019, 09:11
1
AS0306 wrote:
Is x a multiple of 4?

(1) x + 2 is divisible by 2

(2) 6 is a factor of 3x

$$\frac{x}{4}$$=integer?

(1) x + 2 is divisible by 2

$$\frac{x+2}{2}$$=integer =>x=2, 4, 6, 8....(all multiples of 2)

If x=2, is $$\frac{2}{4}$$=integer? NO

If x=4, is $$\frac{4}{4}$$=integer? YES

If x=6, is $$\frac{6}{4}$$=integer? NO

INSUFFICIENT!

(2) 6 is a factor of 3x

$$\frac{3x}{6}$$= integer => $$\frac{x}{2}$$ = integer =>x=2, 4, 6, 8....(all multiples of 2)

If x=2, is $$\frac{2}{4}$$=integer? NO

If x=4, is $$\frac{4}{4}$$=integer? YES

If x=6, is $$\frac{6}{4}$$=integer? NO

INSUFFICIENT!

(1) + (2)

$$\frac{x+2}{2}$$=integer and $$\frac{x}{2}$$ = integer.........Same as individual statements...no extra information
INSUFFICIENT!

P.S: Please check the OA since it says the answer is option C

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Joined: 02 Sep 2009
Posts: 58396
Re: Is x a multiple of 4?  [#permalink]

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24 Sep 2019, 21:48
1
EncounterGMAT wrote:
AS0306 wrote:
Is x a multiple of 4?

(1) x + 2 is divisible by 2

(2) 6 is a factor of 3x

$$\frac{x}{4}$$=integer?

(1) x + 2 is divisible by 2

$$\frac{x+2}{2}$$=integer =>x=2, 4, 6, 8....(all multiples of 2)

If x=2, is $$\frac{2}{4}$$=integer? NO

If x=4, is $$\frac{4}{4}$$=integer? YES

If x=6, is $$\frac{6}{4}$$=integer? NO

INSUFFICIENT!

(2) 6 is a factor of 3x

$$\frac{3x}{6}$$= integer => $$\frac{x}{2}$$ = integer =>x=2, 4, 6, 8....(all multiples of 2)

If x=2, is $$\frac{2}{4}$$=integer? NO

If x=4, is $$\frac{4}{4}$$=integer? YES

If x=6, is $$\frac{6}{4}$$=integer? NO

INSUFFICIENT!

(1) + (2)

$$\frac{x+2}{2}$$=integer and $$\frac{x}{2}$$ = integer.........Same as individual statements...no extra information
INSUFFICIENT!

P.S: Please check the OA since it says the answer is option C

You are right. Correct answer is E. Edited. Thank you.
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Re: Is x a multiple of 4?   [#permalink] 24 Sep 2019, 21:48
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