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Probability is one of the most important GMAT Quant topics because it often combines logic, counting, set theory, and permutations & combinations. Many students try to solve probability questions by listing every possible case, but GMAT probability...- Jun 03
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For most test takers, Data Insights is the most challenging section on the GMAT, with test takers scoring several points lower on average on DI than on Quant or Verbal and completing the section with less time to spare. - Jun 10
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05 May 2020, 04:35
Kudos
Bookmarks
E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
63% (01:47) correct
37%
(01:47)
wrong
based on 578
sessions
History
Date
Time
Result
Not Attempted Yet
What is the area of the region enclosed by \(2|x| + 3|y| = 6\) ?
A. 3
B. 4
C. 6
D. 8
E. 12
Are You Up For the Challenge: 700 Level Questions
A. 3
B. 4
C. 6
D. 8
E. 12
Are You Up For the Challenge: 700 Level Questions
05 May 2020, 05:11
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Bunuel
Whenever you have such questions, choose x and y as 0, and find the other coordinates y and x respectively..
1) Take x as 0..
\(2|x| + 3|y| = 6\).....\(2|0| + 3|y| = 6\)\(...... 3|y| = 6......|y|=2......y=2..y=-2\)..Coord (0,-2) and (0,2)
2) Take y as 0..
\(2|x| + 3|y| = 6\).....\(2|x| + 3|0| = 6\)\(...... 2|x| = 6......|x|=3......x=3...x=-3\)..Coord (3,0) and (-3,0)
Now you can draw the figure as shown
Area = \(2*(\frac{1}{2}*(3+3)*2)=2*6=12\)
OR
the figure is a rhombus with equal sides and diagonals as 4 and 6..Area = \(\frac{4*6}{2}=12\)
E
Attachments
Gmatclub area.png [ 11.61 KiB | Viewed 9472 times ]
General Discussion
13 May 2020, 06:15
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Bunuel
Plug \(x = 0\) ; \(y =\) + \(2\) & If \(y = 0 ; x =\) + \(3\) and plot the graph
Attachment:
Capture.PNG [ 50.79 KiB | Viewed 8989 times ]
Now, \(△AOD = △AOB = △BOC = △COD\) ; where all the triangles are right angles (Intersection of X and Y axis at O)
So, Area of △AOD is \(\frac{1}{2}*3*2= 3\)
So, Area of the enclosed region is \(4*3 = 12\), Answer must be (E)
