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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
29% (02:48) correct
71%
(02:40)
wrong
based on 227
sessions
History
Date
Time
Result
Not Attempted Yet
What is the probability that a point satisfying the conditions |x| ≤ 2 and |y| ≤ 2 also satisfies |x + y| ≤ 1?
A. 1/16
B. 1/4
C. 7/16
D. 9/16
E. 3/4
Source: Career Launcher
A. 1/16
B. 1/4
C. 7/16
D. 9/16
E. 3/4
Source: Career Launcher
21 Oct 2019, 19:13
Kudos
Bookmarks
x and y can be any real number in the range.
|x| ≤ 2 and |y| ≤ 2
Area bounded by these 2 curves= 4*4=16
Area bounded by |x| ≤ 2, |y| ≤ 2 and |x+y| ≤ 1
16-(1/2*3*3)-(1/2*3*3)=7
Probability= 7/16
Source: Career Launcher
|x| ≤ 2 and |y| ≤ 2
Area bounded by these 2 curves= 4*4=16
Area bounded by |x| ≤ 2, |y| ≤ 2 and |x+y| ≤ 1
16-(1/2*3*3)-(1/2*3*3)=7
Probability= 7/16
Source: Career Launcher
chetan2u
Attachments
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General Discussion
21 Oct 2019, 19:23
Kudos
Bookmarks
nick1816
Yes, I missed out that you have not mentioned that x and y are integers, but a GMAT question would be in a format which will either tell you that x,y are integers or it will mention area bounded by |x|<2 and |y|<2. This is more of a language of a CAT question and Career launcher also has more to do with CAT preparation.
Please mention source along with the question.
. However I clicked on C because that was the only option with 7 in the numerator. 
