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If p and x are integers , is x divisible by 11?

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If p and x are integers , is x divisible by 11? [#permalink]

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If p and x are integers , is x divisible by 11?

(1) x = 2p - 6

(2) 2p + 5 is divisible by 11
[Reveal] Spoiler: OA

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Re: If p and x are integers , is x divisible by 11? [#permalink]

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rxs0005 wrote:
If p and x are integers , is x divisible by 11

1 x = 2p - 6

2 2p + 5 is divisible by 11


If p and x are integers, is x divisible by 11?

(1) x = 2p - 6 --> clearly insufficient: if \(p=0\) then \(x=-6\) and the answer will be NO but if \(p=3\) then \(x=0\) and the answer will be YES.

(2) 2p + 5 is divisible by 11 --> \(2p+5=11k\) for some integer \(k\), but this statement is also insuffcient as we know nothing about \(x\).

(1)+(2) \(x=2p-6=2p+5-11=11k-11=11(k-1)\) --> \(x\) is a multiple of 11. Sufficient.

Answer: C.
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Re: If p and x are integers , is x divisible by 11? [#permalink]

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New post 14 Mar 2012, 07:02
If p and x are integers, is x divisible by 11?

1) x=2(p-3)
2) 2p+5 is divisible by 11

from 2) we get that p could be for example, 3, 14, 25...

if we use the value 3 in 1) we get x=0 which is not divisible by 11, and if p=14->x=22, so imo E.
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Re: If p and x are integers , is x divisible by 11? [#permalink]

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New post 14 Mar 2012, 07:10
0 is divisible by 11, in fact by any other number than 0 itself. So the answer is C.
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Re: If p and x are integers , is x divisible by 11? [#permalink]

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0 when divided by 11 gives a remainder 0, hence it will be considered as divisible.
0 = 0*11 + 0.

Originally posted by Abhii46 on 14 Mar 2012, 07:15.
Last edited by Abhii46 on 14 Mar 2012, 07:17, edited 1 time in total.
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Re: If p and x are integers , is x divisible by 11? [#permalink]

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New post 14 Mar 2012, 07:16
Ok thanks for clearing that up.
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If p and x are integers , is x divisible by 11? [#permalink]

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New post 17 May 2013, 06:02
One question: According to the second statemet 2p could also equal -5 since 2p+5 is divisible by 11 so 2p+5 could also be zero.. if you plug it into the first statement then it is not divisible by 11 anymore. could yomeone possibly clarify this??

Many thanks!
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If p and x are integers , is x divisible by 11? [#permalink]

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New post 17 May 2013, 06:19
BankerRUS wrote:

One question: According to the second statemet 2p could also equal -5 since 2p+5 is divisible by 11 so 2p+5 could also be zero.. if you plug it into the first statement then it is not divisible by 11 anymore. could yomeone possibly clarify this??

Many thanks!


We are told that p is an integer, thus 2p cannot equal to -5 because in this case p is not an integer.

Hope it's clear.
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Re: If p and x are integers , is x divisible by 11? [#permalink]

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New post 17 May 2013, 06:42
We are told that p is an integer, thus 2p cannot equal to -5 because in this case p is not an integer.

Hope it's clear.[/quote]

Understood, many thanks!
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Re: If p and x are integers , is x divisible by 11? [#permalink]

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Re: If p and x are integers , is x divisible by 11?   [#permalink] 17 Dec 2017, 01:39
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