It is currently 18 Oct 2017, 02:41

Close

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
Your Progress

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.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If x=3/4 and y=2/5, what is the value of

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Expert Post
1 KUDOS received
Veritas Prep GMAT Instructor
User avatar
G
Joined: 16 Oct 2010
Posts: 7674

Kudos [?]: 17345 [1], given: 232

Location: Pune, India
If x=3/4 and y=2/5, what is the value of [#permalink]

Show Tags

New post 01 Aug 2016, 22:33
1
This post received
KUDOS
Expert's post
ajit257 wrote:
If \(x=\frac{3}{4}\) and \(y=\frac{2}{5}\), what is the value of \(\sqrt{x^2 +6x +9}-\sqrt{y^2 -2y +1}\) ?

A. 87/20
B. 63/20
C. 47/20
D. 15/4
E. 14/5


You can approximate too if perfect square doesn't come to mind.

\(\sqrt{x^2 +6x +9}-\sqrt{y^2 -2y +1}\)

\(\sqrt{x^2 +6x +9}\) --->
3/4 square is 9/16 which is slightly more than 0.5
3/4 of 6 is 4.5
So .5 + 4.5 + 9 is 14 and its square root is slightly less than 4, say about 3.7

\(\sqrt{y^2 -2y +1}\) ---->
2/5 square is 4/25 which is very small.
2/5 of 2 is 0.8
So -0.8 + 1 = 1/5 and its square root is about 1/2.2 which is 0.5

So \(\sqrt{x^2 +6x +9}-\sqrt{y^2 -2y +1} = 3.7 - 0.5 = 3.2\) (slightly more than 3)

Only option (B) is slightly more than 3.
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for $199

Veritas Prep Reviews

Kudos [?]: 17345 [1], given: 232

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 16723

Kudos [?]: 273 [0], given: 0

Premium Member
Re: If x=3/4 and y=2/5, what is the value of [#permalink]

Show Tags

New post 08 Aug 2017, 12:20
Hello from the GMAT Club BumpBot!

Thanks to another GMAT 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.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Kudos [?]: 273 [0], given: 0

Re: If x=3/4 and y=2/5, what is the value of   [#permalink] 08 Aug 2017, 12:20

Go to page   Previous    1   2   [ 22 posts ] 

Display posts from previous: Sort by

If x=3/4 and y=2/5, what is the value of

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

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

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.