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02 Aug 2018, 01:33
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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:
25%
(medium)
Question Stats:
63% (00:53) correct
37%
(00:58)
wrong
based on 156
sessions
History
Date
Time
Result
Not Attempted Yet
Is ABCD a rectangle?
(1) ∠ADC = 90°
(2) AD = BC
Attachment:
GMAT_DS_Magoosh_157.png [ 1009 Bytes | Viewed 5242 times ]
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
02 Aug 2018, 02:29
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(1) ∠ADC = 90°
No information about sides, and other angle
Insufficient
(2) AD = BC
No information about other sides, and angles
Insufficient
Combining both :
Not much information to conclude that it is a rectangle
Insufficient
Hence, E.
No information about sides, and other angle
Insufficient
(2) AD = BC
No information about other sides, and angles
Insufficient
Combining both :
Not much information to conclude that it is a rectangle
Insufficient
Hence, E.
02 Aug 2018, 02:30
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Insufficient. Even if angle ADC=90º and AD=BC, angle DCB can take any value.
Attachments
not_square.PNG [ 4.13 KiB | Viewed 4857 times ]
02 Aug 2018, 09:01
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Bunuel
We need to determine whether all the four angles of the quadrilateral ABCD are 90 degree or not. Because a rectangle has all the four angles 90 (side lengths don't matter). When all the sides are equal then it is a square, otherwise it's a rectangle and every square is a rectangle.
St1:- ∠ADC = 90°. We don't know the measure of other three angles ,those sum to 360-90=270.
When they are equal, then each measures 90 degree and the quadrilateral becomes a rectangle. Otherwise, it's just a quadrilateral but not rectangle.
Insufficient.
St2:- AD = BC
Side doesn't help in determining type of quadrilateral specifically. Insufficient.
Combining, we have the same situation as mentioned in (1). We can draw rectangles with AD=BC and ∠ADC = 90°. And in the other case,it's not a rectangle.(See enclosed figure)
Insufficient.
Ans. (E)
Attachments
rectangle.JPG [ 23.91 KiB | Viewed 4658 times ]
