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

Question

(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?

Bunuel · Answer

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.

enigma123 · Answer

Very true and thanks again Bunuel.

zztop · Answer

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?

ENGRTOMBA2018 · Answer

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

stonecold · Answer

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

EMPOWERgmatRichC · Answer

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:  E

GMAT assassins aren't born, they're made, 
Rich

soumya170293 · Answer

from statement 1 :

We can get to know that p and x are consecutive integers irrespective of their divisibility by 5 . So x may or may not be divisible by 5 .

from statement 2 :

We know that

p-4 = 5 n ( where n is the divisor )

so p = 5n + 4 ( so we can't give a comment about x divisibility by 5 or not )

if we combined the statement

then for p < x ( just assume n is 1 where n is divisor )

if p = 5n+4 then  x = 5n+ 5 true for multiple of 5
 
for p > x

if p = 5n+4 then  x = 5n+ 3 false for for multiple of 5

for value of n u can take also anything except 1 but that needs to be aligned with the p-4 divisibility by 5 ( such as n= 2 , n= 3 etc . )

So answer is E .

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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 ?

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