GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
x or y
[#permalink]
16 Jul 2021, 04:24
16 Jul 2021, 04:24
Expert Reply
1
Bookmarks
00:00
Question Stats:
42% (00:27) correct
57% (00:43) wrong based on 7 sessions
Hide Show timer Statistics
Attachment:
GRE x or y.jpg [ 11.28 KiB | Viewed 1377 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: 1111
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 1315 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 1315 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.
