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# Is the integer 2b divisible by 6 ?

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Manager
Joined: 21 Apr 2016
Posts: 163
Re: Is the integer 2b divisible by 6 ?  [#permalink]

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10 Apr 2017, 19:20
Doesn't the question already say 2b is an integer? How can the answer be (C)?

From (1) 8b is divisible by 3. Therefore, b has to be divisible by 3. From the question stem 2b is an integer. Combining these two, b can be 3/2, 3, 6/2, 6, 9/2, 9, ... etc... for all these values of b, 2b is divisible by 6. Hence (A).
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Re: Is the integer 2b divisible by 6 ?  [#permalink]

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10 Apr 2017, 22:05
manhasnoname wrote:
Doesn't the question already say 2b is an integer? How can the answer be (C)?

From (1) 8b is divisible by 3. Therefore, b has to be divisible by 3. From the question stem 2b is an integer. Combining these two, b can be 3/2, 3, 6/2, 6, 9/2, 9, ... etc... for all these values of b, 2b is divisible by 6. Hence (A).

Your doubt is addressed several times on previous page. For (1) consider b = 3/2 --> 8b = 12, so it's divisible by 3 but 2b = 3, so not divisible by 6.
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Re: Is the integer 2b divisible by 6 ?  [#permalink]

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11 Apr 2017, 23:36
Is the integer 2b divisible by 6 ?

(1) 8b is divisible by 3.

(2) 9b is divisible by 12

its clearly asked whether the Integer 2b is divisible by 6.....so we can only to take the values to b which satisfies 2b as integer even 3/2 is possible but not 3/4

from statement 1----> 8b =>4*2b when divisible by 3 the possible values from given and statement 1 combined are 3/2,3,6......
conclusion:- statement 1 is enough to solve the question

statement 2 is clearly not enough to solve the equation.

So my answer would be A
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Re: Is the integer 2b divisible by 6 ?  [#permalink]

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11 Apr 2017, 23:42
1
sreenu7464 wrote:
Is the integer 2b divisible by 6 ?

(1) 8b is divisible by 3.

(2) 9b is divisible by 12

its clearly asked whether the Integer 2b is divisible by 6.....so we can only to take the values to b which satisfies 2b as integer even 3/2 is possible but not 3/4

from statement 1----> 8b =>4*2b when divisible by 3 the possible values from given and statement 1 combined are 3/2,3,6......
conclusion:- statement 1 is enough to solve the question

statement 2 is clearly not enough to solve the equation.

So my answer would be A

The answer is NOT A it's C. It's explained several times on previous pages:

For a NO answer in (1) consider b = 3/2 --> 8b = 12, so it's divisible by 3 but 2b = 3, so not divisible by 6.
For an YES answer in (1) consider b = 3 --> 8b = 24, so it's divisible by 3 and 2b = 6, so divisible by 6.
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Re: Is the integer 2b divisible by 6 ?  [#permalink]

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13 May 2018, 01:57
Option 1: 8b divisible for 3 ==> b divisible for 3 ==> From 1, do not have enough info for answer
Option 2: 9b divisible for 12 ==> b divisible for 2 ==> From 2, do not have enough info for answer

From 1 and 2==> b divisible for 6 => answer C

Please hit kudo if it helps! THanks.
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Re: Is the integer 2b divisible by 6 ?  [#permalink]

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13 May 2018, 09:59
Bunuel wrote:
sreenu7464 wrote:
Is the integer 2b divisible by 6 ?

(1) 8b is divisible by 3.

(2) 9b is divisible by 12

its clearly asked whether the Integer 2b is divisible by 6.....so we can only to take the values to b which satisfies 2b as integer even 3/2 is possible but not 3/4

from statement 1----> 8b =>4*2b when divisible by 3 the possible values from given and statement 1 combined are 3/2,3,6......
conclusion:- statement 1 is enough to solve the question

statement 2 is clearly not enough to solve the equation.

So my answer would be A

The answer is NOT A it's C. It's explained several times on previous pages:

For a NO answer in (1) consider b = 3/2 --> 8b = 12, so it's divisible by 3 but 2b = 3, so not divisible by 6.
For an YES answer in (1) consider b = 3 --> 8b = 24, so it's divisible by 3 and 2b = 6, so divisible by 6.

Is it ok to make it from 2b/6 to b/3? Do we lose anything?
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Re: Is the integer 2b divisible by 6 ?  [#permalink]

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13 May 2018, 23:40
The answer is NOT A it's C. It's explained several times on previous pages:

For a NO answer in (1) consider b = 3/2 --> 8b = 12, so it's divisible by 3 but 2b = 3, so not divisible by 6.
For an YES answer in (1) consider b = 3 --> 8b = 24, so it's divisible by 3 and 2b = 6, so divisible by 6.[/quote]

Is it ok to make it from 2b/6 to b/3? Do we lose anything?[/quote]

Hello

You are correct. Asking 'whether 2b is divisible by 6' is same as asking 'whether b is divisible by 3'.
In any case wherever 2b is divisible by 6, b has to be divisible by 3.
Re: Is the integer 2b divisible by 6 ?   [#permalink] 13 May 2018, 23:40

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# Is the integer 2b divisible by 6 ?

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