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AB+AD or DC+BC

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Which is greater AB + AD or DC + BC [#permalink] New post   13 Mar 2019, 12:03
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#GREpracticequestion Which is greater AB + AD or DC + BC.jpg
#GREpracticequestion Which is greater AB + AD or DC + BC.jpg [ 14.38 KiB | Viewed 7754 times ]



Quantity A
Quantity B
\(AB + AD\)
\(DC + BC\)


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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Official Answer
D
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mohan514
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Re: Which is greater AB + AD or DC + BC [#permalink] New post   15 Mar 2019, 01:25
1
If angle DBC were right angled then both will be equal else we cannot determine.

We cannot conclude based on the image in GRE. Its a trick used to deceive test takers.
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Re: Which is greater AB + AD or DC + BC [#permalink] New post   20 Mar 2019, 09:04
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mohan514 wrote:
If angle DBC were right angled then both will be equal else we cannot determine.

We cannot conclude based on the image in GRE. Its a trick used to deceive test takers.


Even if angle DBC was 90 degrees, the answer would still be D.

For instance, think about Quantity B. The lines DC and BC can be extremely long or extremely short, and it would not change the angle at DBC at all. The same is true of the lines in Quantity A.

Indeed, since the line lengths are not specified, we cannot assume anything about their relative lengths.
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AB+AD or DC+BC [#permalink] New post   07 Nov 2022, 00:32
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Attachment:
GRE AB+AD or DC+BC.jpg
GRE AB+AD or DC+BC.jpg [ 12.04 KiB | Viewed 2396 times ]


Quantity A
Quantity B
AB+AD
DC+BC



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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Re: AB+AD or DC+BC [#permalink] New post   02 Dec 2022, 08:08
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Looking at the question we do not have much of information. we do know just that the angle is 100°

However, nothing about the sides or else

The triangle could look like this

Attachment:
GRE geometry (4).jpg
GRE geometry (4).jpg [ 103.35 KiB | Viewed 2181 times ]


Or

Attachment:
GRE geometry (5).jpg
GRE geometry (5).jpg [ 107.91 KiB | Viewed 2216 times ]


The answer is D
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Re: AB+AD or DC+BC [#permalink]
02 Dec 2022, 08:08
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