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PQRS is parallelogram

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PQRS is parallelogram [#permalink] New post 22 Aug 2018, 08:44
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78% (00:24) correct 21% (00:13) wrong based on 52 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.

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[Reveal] Spoiler: OA

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Re: PQRS is parallelogram [#permalink] New post 24 Aug 2018, 10:11
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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)
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Re: PQRS is parallelogram [#permalink] New post 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.
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Re: PQRS is parallelogram [#permalink] New post 29 Aug 2018, 03:35
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Correct.

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Re: PQRS is parallelogram [#permalink] New post 18 Jan 2019, 19:03
Answer is A

y=3/4 of x
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Re: PQRS is parallelogram [#permalink] New post 10 Jan 2020, 08:33
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Here 3x = 4y Opposite angles are equal in case of parallelogram.[Note: Opposite sides are also equal]
then, 3 X 4 = 4 X 3
So, x = 4 and y = 3
Ans: A
Re: PQRS is parallelogram   [#permalink] 10 Jan 2020, 08:33
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