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19 Apr 2017, 00:42
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
89% (01:01) correct
11%
(00:55)
wrong
based on 245
sessions
History
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Not Attempted Yet
What is N when N is an integer and x < N < y?
(1) y − x = 7
(2) x and y are integers.
(1) y − x = 7
(2) x and y are integers.
valardohaeris
Joined: 19 Dec 2016
Last visit: 21 Jul 2018
Posts: 32
Given Kudos: 106
Location: Malaysia
Schools: HBS '20 (D) Stanford '20 (D) ISB '19 NUS '20 (S)
GMAT 1: 630 Q49 V27
GMAT 2: 640 Q43 V34
GPA: 4
19 Apr 2017, 00:49
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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.
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.
19 Apr 2017, 06:58
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Bunuel
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:
Cheers,
Brent
