Last visit was: 23 Dec 2024, 07:00 It is currently 23 Dec 2024, 07:00

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
avatar
Intern
Intern
Joined: 05 Jul 2015
Posts: 10
Own Kudos [?]: 3 [0]
Given Kudos: 0
Send PM
avatar
Intern
Intern
Joined: 23 Aug 2015
Posts: 6
Own Kudos [?]: 2 [0]
Given Kudos: 0
Send PM
avatar
Intern
Intern
Joined: 15 Jul 2015
Posts: 1
Own Kudos [?]: 0 [0]
Given Kudos: 0
Send PM
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12234 [0]
Given Kudos: 136
Send PM
Re: GRE Quant 1 minute challenge [#permalink]
1
The probability is directly related to how much of the square's area is occupied by the triangle.
This is a longer approach, but I'm trying to PROVE why the answer is 1/2


Let each side of square have length x
So, area of square = x^2

Area of triangle = (1/2)(base)(height)
= (1/2)(x)(x)
= (1/2)x^2

We can see that the triangle takes 1/2 of the area of the square.
So, P(point is INSIDE triangle) = 1/2
AND, P(point is OUTSIDE triangle) = 1/2

Cheers,
Brent - Greenlight Test Prep
avatar
Intern
Intern
Joined: 18 Sep 2019
Posts: 30
Own Kudos [?]: 2 [0]
Given Kudos: 0
Send PM
Re: GRE Quant 1 minute challenge [#permalink]
Thanks
avatar
Intern
Intern
Joined: 12 Oct 2019
Posts: 11
Own Kudos [?]: 5 [0]
Given Kudos: 0
Send PM
Re: GRE Quant 1 minute challenge [#permalink]
1/2
avatar
Intern
Intern
Joined: 04 Oct 2019
Posts: 29
Own Kudos [?]: 28 [0]
Given Kudos: 0
Send PM
Re: GRE Quant 1 minute challenge [#permalink]
Why isn't the answer E? We don't know if E is the midpoint of CD.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12234 [0]
Given Kudos: 136
Send PM
Re: GRE Quant 1 minute challenge [#permalink]
2
Nishan wrote:
Why isn't the answer E? We don't know if E is the midpoint of CD.


E need not be the midpoint of CD.
Regardless of where point E is located on side CD, the base of the triangle will be x (if we let x = length of each side) and the height of the triangle will still be x.

So, regardless of where point E is located on side CD, the area of the triangle will always = (base)(height)/2 = (x)(x)/2 = x²/2

Cheers,
Brent
Prep Club for GRE Bot
Re: GRE Quant 1 minute challenge [#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