GMAT Prep
The numbers x and y are NOT integers. The value of x is closest to which integer?
(1) 4 is the integer that is closest to x+y
(2) 1 is the integer that is closest to x-y
OA E
The numbers x and y are NOT integers. The value of x is
This topic has expert replies
GMAT/MBA Expert
- Brent@GMATPrepNow
- GMAT Instructor
- Posts: 16207
- Joined: Mon Dec 08, 2008 6:26 pm
- Location: Vancouver, BC
- Thanked: 5254 times
- Followed by:1268 members
- GMAT Score:770
Timer
00:00
Your Answer
A
B
C
D
E
Global Stats
Target question: The value of x is closest to which integer?AAPL wrote:GMAT Prep
The numbers x and y are NOT integers. The value of x is closest to which integer?
(1) 4 is the integer that is closest to x+y
(2) 1 is the integer that is closest to x-y
OA E
Let's head straight to...........
Statements 1 and 2 combined
There are several values of x and y that satisfy BOTH statements. Here are two:
Case a: x = 2.4 and y = 1.4. These values satisfy both statements. In this case, the answer to the target question is 2 is the closest integer to x
Case b: x = 2.6 and y = 1.4. These values satisfy both statements. In this case, the answer to the target question is 3 is the closest integer to x
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT
Answer: E
Cheers,
Brent
GMAT/MBA Expert
- Jay@ManhattanReview
- GMAT Instructor
- Posts: 3008
- Joined: Mon Aug 22, 2016 6:19 am
- Location: Grand Central / New York
- Thanked: 470 times
- Followed by:34 members
Timer
00:00
Your Answer
A
B
C
D
E
Global Stats
Let's take each statement one by one.AAPL wrote:GMAT Prep
The numbers x and y are NOT integers. The value of x is closest to which integer?
(1) 4 is the integer that is closest to x + y
(2) 1 is the integer that is closest to x - y
OA E
(1) 4 is the integer that is closest to x + y.
=> 4.5 > x + y ≥ 3.5
We do not have any information about y. Insufficient.
(2) 1 is the integer that is closest to x - y.
=> 1.5 > x - y ≥ 0.5
We do not have any information about y. Insufficient.
(1) and (2) together
We have
4.5 > x + y ≥ 3.5 ---(1) and
1.5 > x - y ≥ 0.5 ---(2)
Adding (1) and (2), we have
6 > 2x ≥ 4
3 > x ≥ 2
If, say x = 2.1, the integer closed to x is 2; however, if, say x = 2.8, the integer closed to x is 3. No unique value. Insufficient.
The correct answer: E
Hope this helps!
-Jay
_________________
Manhattan Review GRE Prep
Locations: GMAT Classes Boston | GRE Prep Course NYC | GRE Prep Dallas | SAT Prep Classes Houston | and many more...
Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.