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

It is currently 12 Dec 2019, 12:24

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

The lengths of the sides of a triangle are in the ratio of 3 to 5 to 6

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

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 59712
The lengths of the sides of a triangle are in the ratio of 3 to 5 to 6  [#permalink]

Show Tags

New post 17 Aug 2017, 23:31
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

89% (00:41) correct 11% (01:11) wrong based on 77 sessions

HideShow timer Statistics

Intern
Intern
avatar
B
Joined: 02 Sep 2016
Posts: 14
GMAT 1: 660 Q50 V29
Reviews Badge
Re: The lengths of the sides of a triangle are in the ratio of 3 to 5 to 6  [#permalink]

Show Tags

New post 18 Aug 2017, 00:29
Let the sides of the triangle are
3k,5k and 6k
Given perimeter(3k+5k+6k) =70
Solving for k, k =5.
So longest side of the triangle is 6k =6*5=30

Sent from my MotoG3 using GMAT Club Forum mobile app
Manager
Manager
avatar
B
Joined: 14 Sep 2016
Posts: 125
Re: The lengths of the sides of a triangle are in the ratio of 3 to 5 to 6  [#permalink]

Show Tags

New post 18 Aug 2017, 02:39
the length of the longest side is = 6/14 * 70 = 30

hence, answer = E
EMPOWERgmat Instructor
User avatar
V
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 15704
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: The lengths of the sides of a triangle are in the ratio of 3 to 5 to 6  [#permalink]

Show Tags

New post 03 Dec 2017, 22:55
1
Hi All,

We're told that the ratio of the lengths of the sides of a triangle are 3 to 5 to 6 and that the perimeter of the triangle is 70. We're asked for the length of the longest side.

When it comes to ratios questions on the GMAT, you will almost always be dealing with integers (and while there are some exceptions, they're relatively rare). Thus, the first side of this triangle will likely be an integer multiple of 3, the second side an equivalent multiple of 5 and the third side an equivalent multiple of 6. By extension, the SUM of the sides will be a multiple of 14.

For example:
3, 5 and 6 -- Perimeter = 14
6, 10 and 12 -- Perimeter = 28
9, 15 and 18 -- Perimeter = 42
Etc.

Since we know the perimeter = 70 and 70 = (14)(5), we know that each side is 5 times the number in the ratio. In this case, the three sides would be 15, 25 and 30.

Final Answer:

GMAT assassins aren't born, they're made,
Rich
_________________
Contact Rich at: Rich.C@empowergmat.com
Image


The Course Used By GMAT Club Moderators To Earn 750+

souvik101990 Score: 760 Q50 V42 ★★★★★
ENGRTOMBA2018 Score: 750 Q49 V44 ★★★★★
Target Test Prep Representative
User avatar
V
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8680
Location: United States (CA)
Re: The lengths of the sides of a triangle are in the ratio of 3 to 5 to 6  [#permalink]

Show Tags

New post 05 Jan 2018, 08:08
Bunuel wrote:
The lengths of the sides of a triangle are in the ratio of 3 to 5 to 6. If the perimeter of the triangle is 70, what is the length of the longest side?

(A) 5
(B) 6
(C) 15
(D) 25
(E) 30


We can let the sides of the triangle = 3x, 5x, and 6x; thus:

3x + 5x + 6x = 70

14x = 70

x = 5

Thus, the longest side is 6(5) = 30.

Answer: E
_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

GMAT Club Bot
Re: The lengths of the sides of a triangle are in the ratio of 3 to 5 to 6   [#permalink] 05 Jan 2018, 08:08
Display posts from previous: Sort by

The lengths of the sides of a triangle are in the ratio of 3 to 5 to 6

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





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