ABCD is a rectangle.R is the mid-point of DC
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Quantity A : Area of Triangle DPC
Quantity B : Twice the Area of Triangle DQR
The answer provided is D,while I have calculated it to be C i.e. both the quantities are equal.Here is my solution of this problem:
Quantity A : Area of Triangle DPC = 1/2(DC)*(BC)
Quantity B : Twice the Area of Triangle DQR = 2 *[1/2(DC/2)*(BC)] = 2 *[1/2(DR)*(BC)] = Area of Triangle DPC = 1/2(DC)*(BC)
So quantity A is equal to Quantity B therefore answer is C
Source :
http://gre.myprepclub.com/tests/results/3104/Q02-83