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Is m divisible by 6? (1) m is divisible by 3 (2) m is divisible by 4

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Is m divisible by 6? (1) m is divisible by 3 (2) m is divisible by 4  [#permalink]

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27 Nov 2018, 02:51
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15% (low)

Question Stats:

82% (00:29) correct 18% (00:40) wrong based on 50 sessions

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Is m divisible by 6? (Assume m is a positive integer)

(1) m is divisible by 3
(2) m is divisible by 4

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Re: Is m divisible by 6? (1) m is divisible by 3 (2) m is divisible by 4  [#permalink]

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27 Nov 2018, 03:02
2
So we analyze the stmts one by one.

A. m is divisible by 3. m could be 3,6,9,12 etc.

May be divisible by 6 and may be not.

B. Same is the case with B

But when we combine the statements... the numbers would be 12, 24 etc.

So answers the question stem

C

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Is m divisible by 6? (1) m is divisible by 3 (2) m is divisible by 4  [#permalink]

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27 Nov 2018, 04:18
Bunuel wrote:
Is m divisible by 6? (Assume m is a positive integer)

(1) m is divisible by 3
(2) m is divisible by 4

Prime factors of 6: 2 and 3

(1) Not every number divisible 3 is divisible by 6. For example, 9 is divisible by 3 but not divisible by 6

(2) Factors for 4: 2*2

Not every number divisible by 2 is divisible by 6. For example, 8 is divisible by 2 but not divisible by 6

Together: If a number is divisible by both 3 and 2, it is divisible by 6.

Answer: C
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Re: Is m divisible by 6? (1) m is divisible by 3 (2) m is divisible by 4  [#permalink]

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27 Nov 2018, 06:09
Bunuel wrote:
Is m divisible by 6? (Assume m is a positive integer)

(1) m is divisible by 3
(2) m is divisible by 4

we are asked to find whether m is divisible by 6 .

Note: in order to divide a number by 6 , that number has to be divisible by both 2 and 3.

Statement 1: m is divisible by 3. No information regarding 2. NOT sufficient.

Statement 2: m is divisible by 4. it means that m is divisible by 2. NO information regarding 3. NOT sufficient.

Combining both statements :

Yes. this what we are looking for . A number is divisible by 6 if it is divisible by both 2 and 3.

The best answer is C.
Re: Is m divisible by 6? (1) m is divisible by 3 (2) m is divisible by 4   [#permalink] 27 Nov 2018, 06:09
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Is m divisible by 6? (1) m is divisible by 3 (2) m is divisible by 4

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