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The area of triangular

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Carcass
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The area of triangular [#permalink] New post   21 Jul 2021, 22:45
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Attachment:
GRE The area of triangular.jpg
GRE The area of triangular.jpg [ 14.18 KiB | Viewed 1602 times ]


Quantity A
Quantity B
The area of triangular region PRS
The area of triangular region PQR



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

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Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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A
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KarunMendiratta
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Re: The area of triangular [#permalink] New post   22 Jul 2021, 00:41
Carcass wrote:
Attachment:
GRE The area of triangular.jpg


Quantity A
Quantity B
The area of triangular region PRS
The area of triangular region PQR



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


Col. A: \(\frac{1}{2}(PR)(4)\)

Col. B: \(\frac{1}{2}(PR)(2)\)

Dividing both sides with \(\frac{1}{2}(PR)\);

Col. A: 4
Col. B: 2

Hence, option A
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tejasphirke
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Re: The area of triangular [#permalink] New post   22 Jul 2021, 06:34
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Since both the triangles have the same base
let base be b
QA:
Area of prs = 1/2 * b*4 = 2b

QB:
Area of pqr = 1/2 * b *2 = b

since the base is same so QA=2 and QB=1
Option (A)

why the answer is given C
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Re: The area of triangular [#permalink] New post   22 Jul 2021, 07:47
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tejasphirke wrote:
Since both the triangles have the same base
let base be b
QA:
Area of prs = 1/2 * b*4 = 2b

QB:
Area of pqr = 1/2 * b *2 = b

since the base is same so QA=2 and QB=1
Option (A)

why the answer is given C
Carcass


We had been discussed this one privately.

The official OA says C
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gmatclubot
Re: The area of triangular [#permalink]
22 Jul 2021, 07:47
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