 It is currently 21 Nov 2019, 07:44 ### GMAT 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

every week, we’ll send you an estimated GMAT 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. # GRE Math Challenge #2 (170 level question)  Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS: Director  Joined: 16 May 2014
Posts: 594
GRE 1: Q165 V161 Followers: 104

Kudos [?]: 549  , given: 64

GRE Math Challenge #2 (170 level question) [#permalink]
1
KUDOS
Expert's post
This is the type of question you have to answer correctly to get a perfect score of 170 in GRE Math
Attachment: q1.png [ 14.25 KiB | Viewed 5721 times ]

_________________

My GRE Resources
Free GRE resources | GRE Prep Club Quant Tests
If you find this post helpful, please press the kudos button to let me know ! Intern Joined: 18 Jun 2014
Posts: 42
Followers: 1

Kudos [?]: 28 , given: 15

Re: GRE Math Challenge #2 (170 level question) [#permalink]
0.25
Intern Joined: 23 Jun 2017
Posts: 6
Followers: 0

Kudos [?]: 6 , given: 4

Re: GRE Math Challenge #2 (170 level question) [#permalink]
the key to solve this question is that. put y coordinate=0 in the parabola equation to get the x coordinate(half the lenght of the base) .in terms of k. then find the value of k
Intern Joined: 29 Jun 2017
Posts: 4
Followers: 0

Kudos [?]: 2 , given: 1

Re: GRE Math Challenge #2 (170 level question) [#permalink]
.70
Intern Joined: 11 Aug 2017
Posts: 5
Followers: 0

Kudos [?]: 2 , given: 0

Re: GRE Math Challenge #2 (170 level question) [#permalink]
.25
Intern Joined: 27 Aug 2018
Posts: 36
Followers: 0

Kudos [?]: 17 , given: 7

Re: GRE Math Challenge #2 (170 level question) [#permalink]
Tough question.

The first part of the solution:

Let the origin be O.

The area of the triangle ABC is 1/8.
The area of the triangle ABC = the area of the triangle AOB*2
The area of the triangle AOB = (distance between Origin and B * distance between Origin and A)/2
The area of the triangle ABC = ((distance between Origin and B * distance between Origin and A)/2)*2 =>
The area of the triangle ABC = distance between Origin and B * distance between Origin and A = 1/8

The second part of the solution:

Point A is the point when x=0
If x=0, then y=k-0 => y=k
So, we now know that the distance between the origin and the point A is k.

Points B and C are points when y=0
0=k-x^2 => x^2 = k => x = +- sqrt(k)

So, we now know that the distance between the origin and the point B is sqrt(k)

The third part of the solution:
k*sqrt(k) = 1/8
k^3 = 1/64
k = 1/sqrt(8)
k = 0.35

Kudos if you liked this solution  Re: GRE Math Challenge #2 (170 level question)   [#permalink] 20 Sep 2018, 04:29
Display posts from previous: Sort by

# GRE Math Challenge #2 (170 level question)  Question banks Downloads My Bookmarks Reviews Important topics Powered by phpBB © phpBB Group Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.