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Area of ABCD

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Area of ABCD [#permalink] New post 03 Dec 2018, 06:02
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100% (00:01) correct 0% (00:00) wrong based on 1 sessions
Attachment:
GRE.PNG
GRE.PNG [ 530.81 KiB | Viewed 145 times ]



Quantity A
Quantity B
Area of ABCD
Area of EFGH


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
[Reveal] Spoiler: OA

Last edited by chetan2u on 03 Dec 2018, 19:05, edited 2 times in total.
Added the OA
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Re: Area of ABCD [#permalink] New post 03 Dec 2018, 12:25
Expert's post
Please, follow the rules for posting Sir.

https://greprepclub.com/forum/rules-for ... -1083.html

B should be the answer here

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Re: Area of ABCD [#permalink] New post 03 Dec 2018, 19:04
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Expert's post
YMAkib wrote:
Attachment:
GRE.PNG



Quantity A
Quantity B
Area of ABCD
Area of EFGH


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



Line ADEH and BCFG both are parallel as both represent opposite side of rectangle...
Thus the distance between the two lines will always be constant and will be equal to AB or CD, call it h..

Area of ABCD = 5*h=5h
Area of EFGH = \(\frac{EH+FG}{2}*h=\frac{4+6}{2}*h=5h\)..EFGH is a trapezium here

so both are equal

answer C
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Some useful Theory.
1. Arithmetic and Geometric progressions : https://greprepclub.com/forum/progressions-arithmetic-geometric-and-harmonic-11574.html#p27048
2. Effect of Arithmetic Operations on fraction : https://greprepclub.com/forum/effects-of-arithmetic-operations-on-fractions-11573.html?sid=d570445335a783891cd4d48a17db9825
3. Remainders : https://greprepclub.com/forum/remainders-what-you-should-know-11524.html
4. Number properties : https://greprepclub.com/forum/number-property-all-you-require-11518.html
5. Absolute Modulus and Inequalities : https://greprepclub.com/forum/absolute-modulus-a-better-understanding-11281.html

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Re: Area of ABCD [#permalink] New post 03 Dec 2018, 19:04
Expert's post
Re: Area of ABCD   [#permalink] 03 Dec 2018, 19:04
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