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If p and x are integers, is x divisible by 5 ?

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If p and x are integers, is x divisible by 5 ? [#permalink]

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If p and x are integers, is x divisible by 5 ?


(1) p and x are consecutive integers.
(2) p - 4 is divisible by 5.

[Reveal] Spoiler:
How come the answer is E? I can get to C but not E. This is how I arrived at C

Statement 1 is clearly insufficient because x can and cannot be a multiple of 5.

Statement 2 also is insufficient because x is not even mentioned over here.

Combining the two statements

P can be 9, 14, 19, 24,........

From statement 1 p and x are consecutive. Therefore x will take values of 10, 15, 20, 25-------------> They all are divisible by 5. where have I got this worng guys?
[Reveal] Spoiler: OA

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Last edited by ENGRTOMBA2018 on 25 Feb 2016, 05:32, edited 1 time in total.
Reformatted the question.

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Re: If p and x are integers, is x divisible by 5 ? [#permalink]

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New post 11 Feb 2012, 18:03
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enigma123 wrote:
If p and x are integers, is x divisible by 5 ?
(1) p and x are consecutive integers.
(2) p - 4 is divisible by 5.

How come the answer is E? I can get to C but not E. This is how I arrived at C

Statement 1 is clearly insufficient because x can and cannot be a multiple of 5.

Statement 2 also is insufficient because x is not even mentioned over here.

Combining the two statements

P can be 9, 14, 19, 24,........

From statement 1 p and x are consecutive. Therefore x will take values of 10, 15, 20, 25-------------> They all are divisible by 5. where have I got this worng guys?


The point is that from (1) we cannot get whether p<x or p>x, we just know that they are consecutive. So, for (1)+(2) p and x could be 4 and 5 or 4 and 3, respectively.

Answer: E.

Hope it's clear.
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Re: If p and x are integers, is x divisible by 5 ? [#permalink]

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New post 11 Feb 2012, 18:05
Very true and thanks again Bunuel.
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Re: If p and x are integers, is x divisible by 5 ? [#permalink]

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New post 25 Feb 2016, 05:23
Bunuel - I also got the answer as C, the same way enigma solved it.
So in a question when it states that a,b,c are consecutive integers it doesn't have to mean that a<b<c?

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Re: If p and x are integers, is x divisible by 5 ? [#permalink]

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New post 25 Feb 2016, 05:31
zztop wrote:
Bunuel - I also got the answer as C, the same way enigma solved it.
So in a question when it states that a,b,c are consecutive integers it doesn't have to mean that a<b<c?


Good question but be careful that it says consecutive integers only and nothing about the relative values of the variables. This is a common trap in DS questions to over assume things that are not explicitly given or can be deduced.

So if you are told in a DS question that a,b,c are consecutive integers then a>b>c is equally possible as a<b<c

Hope this helps.

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Re: If p and x are integers, is x divisible by 5 ? [#permalink]

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New post 13 Mar 2016, 22:53
Excellent Question..
The only reason the combination statement does not work here is because we do not know if P>x or P<x
hence E
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Re: If p and x are integers, is x divisible by 5 ? [#permalink]

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New post 21 Nov 2017, 15:25
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Hi All,

We're told that P and X are integers. We're asked if X is divisible by 5. This is a YES/NO question. We can answer this question by TESTing VALUES.

1) P and X are consecutive integers.
IF...
P=4, X=5 then the answer to the question is YES.
P=4, X=3 then the answer to the question is NO.
Fact 1 is INSUFFICIENT

2) (P - 4) is divisible by 5.
IF...
P=4, X=5 then the answer to the question is YES.
P=4, X=3 then the answer to the question is NO.
Fact 2 is INSUFFICIENT

Combined, we already have two TESTs that 'fit' both Facts (and produce different answers - one YES and one NO).
Combined, INSUFFICIENT

Final Answer:
[Reveal] Spoiler:
E


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Re: If p and x are integers, is x divisible by 5 ?   [#permalink] 21 Nov 2017, 15:25
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