Last visit was: 13 Nov 2024, 11:55 It is currently 13 Nov 2024, 11:55

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: 29951
Own Kudos [?]: 36210 [3]
Given Kudos: 25903
Send PM
Manager
Manager
Joined: 22 Sep 2020
Posts: 74
Own Kudos [?]: 65 [0]
Given Kudos: 97
Send PM
avatar
Intern
Intern
Joined: 26 Aug 2020
Posts: 3
Own Kudos [?]: 3 [0]
Given Kudos: 0
Send PM
Verbal Expert
Joined: 18 Apr 2015
Posts: 29951
Own Kudos [?]: 36210 [0]
Given Kudos: 25903
Send PM
Re: In right triangle LMN, the ratio of the longest side to the [#permalink]
Expert Reply
AgTheDoer wrote:
@Carcass
I believe between means <= x <=
It lies between two values including. Please correct me if I am wrong.


Basically the problem above could be expressed as

Any one side of a triangle must be shorter than the sum of the other two sides.

Included, as you pointed out, is not contemplate . It is just between
avatar
Intern
Intern
Joined: 21 Oct 2020
Posts: 28
Own Kudos [?]: 37 [0]
Given Kudos: 0
Send PM
Re: In right triangle LMN, the ratio of the longest side to the [#permalink]
When we say that one number lies between two numbers, we never include the boundaries of the interval?
Verbal Expert
Joined: 18 Apr 2015
Posts: 29951
Own Kudos [?]: 36210 [0]
Given Kudos: 25903
Send PM
Re: In right triangle LMN, the ratio of the longest side to the [#permalink]
Expert Reply
\(-1<x<1\)

-1 and 1 NOT included

\(-1 \leq x \leq 1\)

-1 and 1 INCLUDED

More here https://gre.myprepclub.com/forum/gre-quant ... tml#p52039
Manager
Manager
Joined: 06 Nov 2020
Posts: 85
Own Kudos [?]: 69 [0]
Given Kudos: 101
Send PM
Re: In right triangle LMN, the ratio of the longest side to the [#permalink]
1
the triangle is a right-angle triangle.
The ratio between the longest (hypotenuse by default) and shortest side is 5:3
thus, the length can be 5:3, 10:6, 15:9, 20:12, 25:15, 30:18 and so on.
in each case, the length of the 3rd side would be - 4, 8, 12, 16, 20, 24 respectively.
and in each case the area of the triangle would be 6, 24, 54, 96, 150, 226, and only 54, 96 satisfy the condition, which says 50<area<150.
and the corresponding short sides in these cases: 9 and 12 (C and D are the answer)
Retired Moderator
Joined: 09 Jan 2021
Posts: 576
Own Kudos [?]: 846 [1]
Given Kudos: 194
GRE 1: Q167 V156
GPA: 4
WE:Analyst (Investment Banking)
Send PM
Re: In right triangle LMN, the ratio of the longest side to the [#permalink]
1
Hi,

In right triangle LMN, the ratio of the longest side to the shortest side is 5 to 3. If the area of LMN is between 50 and 150, which of the following could be the length of the shortest side?

As it is a right angle triangle with the ratio of the longest side to the shortest side is 5 to 3. Thus the other side has to be 4. Which helps us to find the are of the triangle= 1/2 *3x*4x= 6x

Thus, all multiples of 6 between 50 amd 150 could be the area of the above triangle.

Hence, if the shortest side= 9 i.e. 3x=9; x=3
Thus 4x=12
Making the area of triangle as 1/2*9*12=54

Considering option D; 3x=12; x=4
Thus 4x=16
Area of triangle= 96

Thus, only the above two value of the shortest side satisfies the given condition.

IMO C & D

Hope this helps!
User avatar
GRE Prep Club Legend
GRE Prep Club Legend
Joined: 07 Jan 2021
Posts: 5011
Own Kudos [?]: 74 [0]
Given Kudos: 0
Send PM
Re: In right triangle LMN, the ratio of the longest side to the [#permalink]
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Prep Club for GRE Bot
Re: In right triangle LMN, the ratio of the longest side to the [#permalink]
Moderators:
GRE Instructor
78 posts
GRE Forum Moderator
37 posts
Moderator
1111 posts
GRE Instructor
234 posts

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