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20 Nov 2015, 00:53
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B
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Difficulty:
65%
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Question Stats:
51% (01:36) correct
49%
(01:59)
wrong
based on 269
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In the figure above, what is the length of PQ times the length of RS?
(1) The length of PQ is 5.
(2) The length of QR times the length of PR is equal to 12.
Attachment:
PR-B3-07.JPG [ 3.79 KiB | Viewed 11865 times ]
20 Nov 2015, 01:12
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We need to find
PQ*RS =
1. PQ=5
We have no information about RS .
Not sufficient.
2.
QR*PR = 12
Area of triangle PQR = (1/2)* QR * PR
Also , Area of triangle PQR = (1/2)* PQ*RS
=> QR * PR = PQ*RS
Sufficient
Answer B
PQ*RS =
1. PQ=5
We have no information about RS .
Not sufficient.
2.
QR*PR = 12
Area of triangle PQR = (1/2)* QR * PR
Also , Area of triangle PQR = (1/2)* PQ*RS
=> QR * PR = PQ*RS
Sufficient
Answer B
20 Nov 2015, 09:31
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Bunuel
From Diagram it is clear that it is a Right Angled Triangle - so
1) PQ = 5, so it will become 3,4,5 Triangle, does not matter which one is 3 or 4, because what I need is Area
Area = 1/2 * 3 * 4 = 6
Now Area Using PQ as Base = 1/2*PQ*RS = 6 = > PQ.RS = 12 (Sufficient)
2) It says QR.PR = 12, which could be 3*4 or 2*6, All we know one of them is acting as the Height. So
QR.PR = 2*Area (Sufficient)
We need PQ.RS = 2 * Area, because RS is Perpendicular to PQ
so PQ*RS = QR*RS
Answer: D
