Last visit was: 21 Dec 2024, 06:05 It is currently 21 Dec 2024, 06:05

Close

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

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GRE score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel
Verbal Expert
Joined: 18 Apr 2015
Posts: 30431
Own Kudos [?]: 36794 [9]
Given Kudos: 26094
Send PM
Most Helpful Community Reply
avatar
Retired Moderator
Joined: 16 Sep 2019
Posts: 187
Own Kudos [?]: 285 [7]
Given Kudos: 0
Send PM
General Discussion
avatar
Manager
Manager
Joined: 28 Mar 2019
Status:Job holder
Posts: 108
Own Kudos [?]: 104 [0]
Given Kudos: 0
Location: Bangladesh
Mohammad Alamin Asif: Mohammad Alamin Asif
Send PM
avatar
Retired Moderator
Joined: 16 Sep 2019
Posts: 187
Own Kudos [?]: 285 [0]
Given Kudos: 0
Send PM
Re: Which is greater a or b [#permalink]
It is given in the question that the angle is 50 degrees.

So slope is also equivalent to tan(theta). Basic trigonometry. Tan(45) = 1. Tan(50) is greater than Tan(45).


Asif123 wrote:
How you confirm that Angle is greater than 45 and rise is greater than run?
Senior Manager
Senior Manager
Joined: 17 Aug 2019
Posts: 381
Own Kudos [?]: 203 [1]
Given Kudos: 96
Send PM
Re: Which is greater a or b [#permalink]
1
Bookmarks
An easier way to explain the answer:
1- imagine a triangle, with angles 50, 90 , 40. The length of the side that is opposite to 50 is greater than the side with angle 40.

Y represents the length of the side opposite to 50, and the x represents the side that is opposite to 40.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12231 [3]
Given Kudos: 136
Send PM
Which is greater a or b [#permalink]
2
1
Bookmarks
Carcass wrote:
Attachment:
#greprepclub Which is greater a or b.jpg


Quantity A
Quantity B
a
b



We can use the following property:
Image


Create a right triangle by drawing a perpendicular line from the point to the x-axis
Image


Since 40° is the smallest angle, the side opposite 40° must be the shortest side.
So, the side with length a must be the shortest.

This means a < b

Answer: B

RELATED VIDEO
Manager
Manager
Joined: 05 Sep 2023
Posts: 63
Own Kudos [?]: 66 [1]
Given Kudos: 11
Send PM
Re: Which is greater a or b [#permalink]
1
y = x creates a 45 degree angle. If the angle is greater than 45 degrees, you know that the point (a, b) will be higher since a bigger angle corresponds to a larger side. Therefore, b > a and B is the correct answer.
Manager
Manager
Joined: 11 Oct 2023
Posts: 69
Own Kudos [?]: 44 [1]
Given Kudos: 25
Send PM
Re: Which is greater a or b [#permalink]
1
Point (a,b) lies on point thus we can simply put it in line equation y=mx+c
and as we can clearly see the slop is positive thus slop will be greater than 1 (because +ve slope 1 is at 45 degree)

thus b = a+c thus b > a
Prep Club for GRE Bot
Re: Which is greater a or b [#permalink]
Moderators:
GRE Instructor
88 posts
GRE Forum Moderator
37 posts
Moderator
1115 posts
GRE Instructor
234 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne