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QUANTITATIVE SECTION 10 :Ques 5 of 20 ID: Q02-83 ( GGREClub)

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QUANTITATIVE SECTION 10 :Ques 5 of 20 ID: Q02-83 ( GGREClub) [#permalink] New post 20 Sep 2017, 04:38
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100% (00:52) correct 0% (00:00) wrong based on 2 sessions
ABCD is a rectangle. R is the midpoint of DC.

Quantity A
Quantity B
Area of ΔΔDPC
Twice the area of ΔΔDQR


Image

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

Answer given is D


But THE ANS should be C-

because

Area of Triangle DPC = 1/2(DC)*(BC)

Twice the Area of Triangle DQR = 2 *[1/2(DC/2)*(BC)] = [1/2(DC)*(BC)] = Area of Triangle DPC


Plz clarify
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Last edited by Carcass on 20 Sep 2017, 05:06, edited 1 time in total.
Edited by Carcass
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Re: QUANTITATIVE SECTION 10 :Ques 5 of 20 ID: Q02-83 ( GGREClub) [#permalink] New post 23 Sep 2017, 08:39
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pranab01 wrote:
ABCD is a rectangle. R is the midpoint of DC.

Quantity A
Quantity B
Area of ΔΔDPC
Twice the area of ΔΔDQR


Image

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

Answer given is D


But THE ANS should be C-

because

Area of Triangle DPC = 1/2(DC)*(BC)

Twice the Area of Triangle DQR = 2 *[1/2(DC/2)*(BC)] = [1/2(DC)*(BC)] = Area of Triangle DPC


Plz clarify


Your analysis is perfect.
Both triangles have the same height, and the length of the base of ΔDPC is TWICE that of ΔDQR
So, the area of ΔDPC is TWICE the area of ΔDQR
So, of we DOUBLE the area of ΔDQR (quantity B), then the two quantities will be equal.

Answer: C

Cheers,
Brent
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Re: QUANTITATIVE SECTION 10 :Ques 5 of 20 ID: Q02-83 ( GGREClub) [#permalink] New post 25 Jan 2018, 05:22
I'd also say answer C is correct.
The clue is to realize that, except from the base, the triangles are equal in height.
Given R as the midpoint, we know that triangle DPC must be twice as large as triangle DQR -> C is correct
Re: QUANTITATIVE SECTION 10 :Ques 5 of 20 ID: Q02-83 ( GGREClub)   [#permalink] 25 Jan 2018, 05:22
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