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# If a, b and c are even integers greater than 10, is a+b divisible by 6

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Joined: 02 Sep 2009
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If a, b and c are even integers greater than 10, is a+b divisible by 6  [#permalink]

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30 Nov 2016, 08:37
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Difficulty:

55% (hard)

Question Stats:

59% (01:40) correct 41% (01:44) wrong based on 108 sessions

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If a, b and c are even integers greater than 10, is a+b divisible by 6?

(1) b=2c

(2) a=2b

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Re: If a, b and c are even integers greater than 10, is a+b divisible by 6  [#permalink]

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30 Nov 2016, 11:44
Bunuel wrote:
If a, b and c are even integers greater than 10, is a+b divisible by 6?

(1) b=2c

(2) a=2b

FROM STATEMENT - I ( INSUFFICIENT )

We are asked to find the value of a + b and we are given 3 even integers ( Which can be psoitive and negative ) , but we do not have data about a , so we can not find the value of a+b

FROM STATEMENT - I ( SUFFICIENT )

Let, b = 2k , so a = 4k

Thus, a+b = 4k + 2k which is divisible by 6

Hence, Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked, aswer will be (B)

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Re: If a, b and c are even integers greater than 10, is a+b divisible by 6  [#permalink]

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18 Mar 2018, 07:19
Bunuel wrote:
If a, b and c are even integers greater than 10, is a+b divisible by 6?

(1) b=2c

(2) a=2b

Given: a, b, c are even integers greater than 10

Question : is a+b divisible by 6?

Statement 1: b = 2c

a = 12, b = 28, c = 14 , a+b = 40 i.e. NOT divisible by 6
a = 14, b = 28, c = 14 , a+b = 42 i.e. divisible by 6

NOT SUFFICIENT

Statement 2: a = 2b

i.e. a+b = 2b+b = 3b

Now 3b must be divisible by 3 as well as by 2 because b is even hence
3b will be divisible by 6

SUFFICIENT

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Re: If a, b and c are even integers greater than 10, is a+b divisible by 6   [#permalink] 18 Mar 2018, 07:19
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