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x or y
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16 Jul 2021, 04:24
16 Jul 2021, 04:24
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Attachment:
GRE x or y.jpg [ 11.28 KiB | Viewed 1403 times ]
Quantity A |
Quantity B |
x |
y |
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.
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Moderator
Joined: 02 Jan 2020
Status:GRE Quant Tutor
Posts: 1115
Given Kudos: 9
Location: India
Concentration: General Management
Schools: XLRI Jamshedpur, India - Class of 2014
GMAT 1: 700 Q51 V31
GPA: 2.8
WE:Engineering (Computer Software)
Re: x or y
[#permalink]
17 Jul 2021, 07:44
17 Jul 2021, 07:44
Let's understand the problem using two method (Refer below image for nomenclature)
image.jpg [ 11.1 KiB | Viewed 1340 times ]
Method 1
Angles drawn by joining a point to other points on a line will be maximum (90º) when the point is connected using a perpendicular line and the angles will become (< 90º) smaller as we start going away from the perpendicular point
Ex: From point C if we start drawing lines to make angles on the line connecting ADB then ∠ABD = 90º, and angles will start becoming smaller as we start going farther from B.
So, ∠CAB < ∠CDB < ∠ABD
=> xº < yº
Method 2
Let's look it from C
Clearly, ∠BCD < ∠BCA
=> -∠BCD > -∠BCA
=> 90º - ∠BCD > 90º - ∠BCA
=> yº > xº
=> xº < yº
So, answer will be B
Hope it helps!
Attachment:
image.jpg [ 11.1 KiB | Viewed 1340 times ]
Method 1
Angles drawn by joining a point to other points on a line will be maximum (90º) when the point is connected using a perpendicular line and the angles will become (< 90º) smaller as we start going away from the perpendicular point
Ex: From point C if we start drawing lines to make angles on the line connecting ADB then ∠ABD = 90º, and angles will start becoming smaller as we start going farther from B.
So, ∠CAB < ∠CDB < ∠ABD
=> xº < yº
Method 2
Let's look it from C
Clearly, ∠BCD < ∠BCA
=> -∠BCD > -∠BCA
=> 90º - ∠BCD > 90º - ∠BCA
=> yº > xº
=> xº < yº
So, answer will be B
Hope it helps!
Senior Manager
Joined: 23 Jan 2021
Posts: 294
Given Kudos: 81
Concentration: , International Business
Re: x or y
[#permalink]
17 Jul 2021, 20:41
17 Jul 2021, 20:41
Directly , it can be seen that if one side of triangle is increased, then the formed angle is equal to sum of other two remaining angle, So, y is greater.
