GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 22 Oct 2019, 13:20

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

In the figure, if QS=6 units and PS=8 units, then what is the length

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

Hide Tags

Find Similar Topics 
Intern
Intern
avatar
B
Joined: 30 Aug 2017
Posts: 14
In the figure, if QS=6 units and PS=8 units, then what is the length  [#permalink]

Show Tags

New post 07 Oct 2017, 11:23
1
7
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

100% (05:09) correct 0% (00:00) wrong based on 5 sessions

HideShow timer Statistics

In the figure, if QS=6 units and PS=8 units, then what is the length of segment SR ?

I don't have options. The answer is= 32/3.
Attachments

File comment: Question figure
WhatsApp Image 2017-10-07 at 11.48.29 PM.jpeg
WhatsApp Image 2017-10-07 at 11.48.29 PM.jpeg [ 108.89 KiB | Viewed 5117 times ]

Most Helpful Community Reply
Intern
Intern
avatar
B
Joined: 28 Dec 2010
Posts: 49
Re: In the figure, if QS=6 units and PS=8 units, then what is the length  [#permalink]

Show Tags

New post 08 Oct 2017, 03:45
3
3
It would be very simple if you use similar triangle property.

So Triangle PQS ~ Triangle RPS

\(\frac{PS}{QS} = \frac{RS}{PS}\)

\(RS = \frac{PS * PS}{QS}\)

RS = 64/6
= 32/3
_________________
_________________________________________
Please Kudos, if you found this post helpful.
General Discussion
Intern
Intern
avatar
B
Joined: 13 Apr 2016
Posts: 43
Location: India
Schools: Great Lakes
GMAT 1: 660 Q37 V42
GPA: 2.99
WE: Information Technology (Retail Banking)
Re: In the figure, if QS=6 units and PS=8 units, then what is the length  [#permalink]

Show Tags

New post 07 Oct 2017, 13:02
1
1
Harikrushna Kotadiya wrote:
In the figure, if QS=6 units and PS=8 units, then what is the length of segment SR ?

I don't have options. The answer is= 32/3.

Image

Sent from my SM-G600FY using GMAT Club Forum mobile app
Intern
Intern
avatar
B
Joined: 20 Aug 2016
Posts: 43
GMAT 1: 570 Q46 V23
GMAT 2: 610 Q49 V25
GMAT 3: 620 Q45 V31
WE: Information Technology (Other)
Reviews Badge
Re: In the figure, if QS=6 units and PS=8 units, then what is the length  [#permalink]

Show Tags

New post 08 Oct 2017, 04:20
triangle RPQ is similar to trainagle PSQ =>PQ/QR = QS/PQ.
by Pythagoras theorem, PQ = 10.
=> 100/6 = QR
=> QR = 50/3 => QS+SR = 50/3
=> SR = 50/3 - 6/1
=>SR = 32/3
Intern
Intern
avatar
Joined: 09 Oct 2017
Posts: 1
Re: In the figure, if QS=6 units and PS=8 units, then what is the length  [#permalink]

Show Tags

New post 09 Oct 2017, 21:38
3
1
Given that only both are right triangles and only one side PR is common, then how did you apply similar triangles rules , please explain


Sent from my iPhone using GMAT Club Forum
Manager
Manager
avatar
B
Joined: 24 Jun 2017
Posts: 117
Re: In the figure, if QS=6 units and PS=8 units, then what is the length  [#permalink]

Show Tags

New post 09 Oct 2017, 22:05
Just playing with algebra a little bit (ignore negative value)
24+4x=5(sq64+x^2)
16x^2+576=1600+25x^2
9x^2=-1024
3x=32
x=32/3
Director
Director
User avatar
D
Affiliations: IIT Dhanbad
Joined: 13 Mar 2017
Posts: 728
Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE: Engineering (Energy and Utilities)
Re: In the figure, if QS=6 units and PS=8 units, then what is the length  [#permalink]

Show Tags

New post 10 Oct 2017, 02:35
4
Harikrushna Kotadiya wrote:
In the figure, if QS=6 units and PS=8 units, then what is the length of segment SR ?

I don't have options. The answer is= 32/3.


For a right angles triangle as given in figure always remember
PS^2 = QS * SR
8^2 = 6 * SR
SR = 64/6 = 32/3
_________________
CAT 2017 (98.95) & 2018 (98.91) : 99th percentiler
UPSC Aspirants : Get my app UPSC Important News Reader from Play store.

MBA Social Network : WebMaggu


Appreciate by Clicking +1 Kudos ( Lets be more generous friends.)



What I believe is : "Nothing is Impossible, Even Impossible says I'm Possible" : "Stay Hungry, Stay Foolish".
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 13411
Re: In the figure, if QS=6 units and PS=8 units, then what is the length  [#permalink]

Show Tags

New post 26 Jan 2019, 23:04
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 Club Bot
Re: In the figure, if QS=6 units and PS=8 units, then what is the length   [#permalink] 26 Jan 2019, 23:04
Display posts from previous: Sort by

In the figure, if QS=6 units and PS=8 units, then what is the length

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





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