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What is N when N is an integer and x < N < y?

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What is N when N is an integer and x < N < y? [#permalink]

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New post 18 Apr 2017, 23:42
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A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

89% (00:49) correct 11% (00:40) wrong based on 52 sessions

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Joined: 19 Dec 2016
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Location: Malaysia
GMAT 1: 630 Q49 V27
GMAT 2: 750 Q50 V41
GPA: 3.54
Re: What is N when N is an integer and x < N < y? [#permalink]

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New post 18 Apr 2017, 23:49
statement 1:
as y-x = 7, N can be anything from x+1 to x+6. --insufficient
statement 2:
if x and y are integers, N can or cannot be an integer. so we aren't sure about the value of N.---insufficient

If we combine both the answers, then also we are not sure about N

hence E.
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Re: What is N when N is an integer and x < N < y? [#permalink]

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New post 19 Apr 2017, 05:58
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Bunuel wrote:
What is N when N is an integer and x < N < y?

(1) y − x = 7
(2) x and y are integers.


Target question: What is the value of N?

Given: N is an integer and x < N < y

Statement 1: y − x = 7
Let's TEST some values.
There are several values of x, y and N that satisfy statement 1 and the given information. Here are two possible cases:
Case a: x = 1, y = 8, and N = 4. In this case, N = 4
Case b: x = 1, y = 8, and N = 5. In this case, N = 5
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: x and y are integers
NOTE: I see that I can re-use the two cases I used above to show that statement 1 is not sufficient.
Case a: x = 1, y = 8, and N = 4. In this case, N = 4
Case b: x = 1, y = 8, and N = 5. In this case, N = 5
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined
Since we were able to use the SAME two cases for statement 1 and statement 2 alone, we can also use them when we COMBINE the statements.
Case a: x = 1, y = 8, and N = 4. In this case, N = 4
Case b: x = 1, y = 8, and N = 5. In this case, N = 5
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT

Answer:
[Reveal] Spoiler:
E


Cheers,
Brent
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Brent Hanneson – Founder of gmatprepnow.com

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Re: What is N when N is an integer and x < N < y?   [#permalink] 19 Apr 2017, 05:58
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