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# PQRS is parallelogram

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Founder
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PQRS is parallelogram [#permalink]  22 Aug 2018, 08:44
Expert's post
00:00

Question Stats:

73% (00:27) correct 26% (00:11) wrong based on 19 sessions
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$$PQRS$$ is parallelogram.

 Quantity A Quantity B x y

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.

Kudos for R.A.E
[Reveal] Spoiler: OA

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Intern
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Re: PQRS is parallelogram [#permalink]  24 Aug 2018, 10:11
1
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We need to know two properties of parallelogram while solving this problem. 1. Opposite sides are equal. 2. The angles on the same side equal to 180 degree. Using the first property 3x =4y. Corollary to this. x = 1.2y and hence x > y (ans A)
Manager
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GRE 1: Q142 V146
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Re: PQRS is parallelogram [#permalink]  28 Aug 2018, 22:01
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Please correct my approach if I am wrong.

internal angles of above parallelogram will be 360. Therefore each angle can be 90.

now I equated 3x= 90 and 4y=90

I got x=30 y =22.5

hence X > y

Is this appraoch is right.
Founder
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Re: PQRS is parallelogram [#permalink]  29 Aug 2018, 03:35
Expert's post
Correct.

Regards
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Re: PQRS is parallelogram [#permalink]  18 Jan 2019, 19:03

y=3/4 of x
Re: PQRS is parallelogram   [#permalink] 18 Jan 2019, 19:03
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