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A
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Difficulty:
45%
(medium)
Question Stats:
64% (01:37) correct
36%
(02:00)
wrong
based on 134
sessions
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The area of parallelogram QRST is what percent of the area of rectangle PUST?
(1) The ratio of QR to PU is 1:2
(2) The area of the rectangle is 30.
Attachment:
343 (1).png [ 18.43 KiB | Viewed 6884 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
29 Oct 2012, 19:33
Kudos
Bookmarks
\(\frac{QR}{PU}=\frac{x}{2x}\)
ratio of areas =\(\frac{1*(x+2x)*Length}{2*2x*Length}\)=\(\frac{3}{4}\)
From (A) it is sufficient.
From B, we can't know or judge about the length of QR.
So answer should be A.
ratio of areas =\(\frac{1*(x+2x)*Length}{2*2x*Length}\)=\(\frac{3}{4}\)
From (A) it is sufficient.
From B, we can't know or judge about the length of QR.
So answer should be A.
29 Oct 2012, 21:00
Kudos
Bookmarks
sanjoo
Notice that QRST is a trapezoid, not a parallelogram.
Area of trapezoid = (1/2)*Altitude*(Sum of parallel sides)
Statement 1:
Attachment:
Ques4.jpg [ 6.14 KiB | Viewed 6518 times ]
AREA of QRST = (1/2)*b*(a/2 + a) (Since QR is half of PU)
Area of rectangle PUST = a*b
Ratio = Area of QRST/Area of PUST = [(1/2)*b*(3a/2)]/a*b = 3/4
Sufficient
Statement 2: The area of the rectangle is 30
The position of Q and R will decide the area of QRST. In the two cases given below, the areas will be different. Area of the rectangle is not enough to know the ratio of area of trapezoid and rectangle.
Attachment:
Ques3.jpg [ 9.84 KiB | Viewed 6496 times ]
Answer (A)
