Events & Promotions
|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Aug 2710:00 AM EDT
-11:00 AM EDT
We’ve worked incredibly hard to build TTP into the best test prep experience possible, and it would mean a lot to us to win Newsweek’s 2026 Readers’ Choice Award for Best Test Prep. If TTP has helped you, we’d be incredibly grateful for your vote.
Sep 0410:00 AM PDT
-11:00 AM PDT
What does test anxiety really look like on the GMAT? For many test takers, it does not look like a panic attack. Instead, it shows up as brain fog, rereading, negative comparisons, mental noise....
Sep 0609:30 AM EDT
-12:30 PM EST
Top scores are possible when you enroll in a powerful EA course, taught live online + 6 months access to TTP OnDemand video courses included! Perfect class schedule and easy course access for working professionals. Class starts Sept. 6, 9:30am-12:30pm EST- Sep 09
07:00 AM PDT
-10:00 AM PDT
Meet AdComs and explore top Master’s programs - MiM, MiF, MSc, MSBA and more. - Application Fee Waivers - Free 1-Week of GMAT Club Tests: - Master's Application Toolkit - Grand Prize Giveaway 
Sep 1507:00 PM EDT
-09:00 PM EST
Elite scores are possible when you enroll in a powerful GMAT course, taught live online + 6 months access to TTP OnDemand video courses included! Class starts Tues/Thurs Sept. 15, 2026 - Nov. 15, 2027, 7:00pm-9:00pm EST
Sep 2108:00 PM EDT
-10:00 PM EDT
Elite scores are possible when you enroll in a powerful GMAT course, taught live online + 6 months access to TTP OnDemand video courses included! Class starts Tues/Thurs Oct. 13, 2026 - Jan. 7, 2027, 8:00pm-10:00pm EST
09 Jan 2020, 04:56
Kudos
Bookmarks
E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
40% (02:57) correct
60%
(03:16)
wrong
based on 128
sessions
History
Date
Time
Result
Not Attempted Yet
A certain boat sales lot sells both sailboats and boats that are not sailboats. 25% of the boats are used sailboats. Of non-sailboats, \(\frac{3}{5}\) are new. If 33% of all boats are used, approximately what percentage of the sailboats are new?
(A) 31%
(B) 33%
(C) 67%
(D) 68%
(E) 69%
(A) 31%
(B) 33%
(C) 67%
(D) 68%
(E) 69%
Updated on: 15 Jul 2020, 10:45
Originally posted by BrushMyQuant on 09 Jan 2020, 10:37.
Last edited by BrushMyQuant on 15 Jul 2020, 10:45, edited 1 time in total.
Last edited by BrushMyQuant on 15 Jul 2020, 10:45, edited 1 time in total.
Kudos
Bookmarks
This question can be solved using overlapping sets 2x2 matrix. PFA The first image which talks about the things which are given in the question.
Now we are asked to find what percentage of the sailboats are new, which is nothing but \(\frac{Sailboats Which Are New }{ Total Sailboats}*100%\)
Now, see the second image attached. Let's calculate Used Non Sailboats. Using the Used column we will get number of used non-sailboats as 33-25 = 8
Using the Non-sailboat row we will get number of used non-sailboats as x = 3x/5 = 2x/5
=> 2x/5 = 8 => x = 20
So, Total Sailboats = 100-x = 100-20 = 80
New Sailboats = Total Sailboats - Used = 80 - 25 = 55
So, percentage of the sailboats are new = \(\frac{Sailboats Which Are New }{ Total Sailboats}\) = \(\frac{55 }{ 80}* 100%\) = 68.75% ~ 69%.
So, Answer will be E.
Hope it helps!
Now we are asked to find what percentage of the sailboats are new, which is nothing but \(\frac{Sailboats Which Are New }{ Total Sailboats}*100%\)
Now, see the second image attached. Let's calculate Used Non Sailboats. Using the Used column we will get number of used non-sailboats as 33-25 = 8
Using the Non-sailboat row we will get number of used non-sailboats as x = 3x/5 = 2x/5
=> 2x/5 = 8 => x = 20
So, Total Sailboats = 100-x = 100-20 = 80
New Sailboats = Total Sailboats - Used = 80 - 25 = 55
So, percentage of the sailboats are new = \(\frac{Sailboats Which Are New }{ Total Sailboats}\) = \(\frac{55 }{ 80}* 100%\) = 68.75% ~ 69%.
So, Answer will be E.
Hope it helps!
Attachments
File comment: Image-1
img1.jpg [ 158.09 KiB | Viewed 8688 times ]
File comment: Image-2
img2.jpg [ 173.41 KiB | Viewed 8691 times ]
dips1122
Joined: 12 Oct 2019
Last visit: 24 Feb 2022
Posts: 72
Given Kudos: 92
Location: India
Concentration: Marketing, General Management
Schools: ISB'22 (A) Tuck '23 (A$) Ross '23 (WL) IIMA PGPX'22 (WA) Fuqua '23 (WL) Darden '23 (WD) Cambridge '22 (D)
GMAT 1: 720 Q48 V41
GMAT 2: 730 Q50 V39
GMAT 3: 760 Q50 V44
GPA: 4
WE:Information Technology (Computer Software)
Products:
Schools: ISB'22 (A) Tuck '23 (A$) Ross '23 (WL) IIMA PGPX'22 (WA) Fuqua '23 (WL) Darden '23 (WD) Cambridge '22 (D)
GMAT 3: 760 Q50 V44
Posts: 72
10 Jan 2020, 21:29
Kudos
Bookmarks
Tricky question.
Here's my solution:
Let total boats = 100
Non-sail boats = y
We know, used sailboats = 25 (from qu.) and new non-sail boats = 3y/5
So, used NON-sailboats = 2y/5
Also, total used boats = 33
so, 25 + 2y/5 = 33
Or y = 20
so new non-sail boats = 12 (3y/5)
67% of all boats are new.
So new sail boats = 67-12 = 55
Total sail boats (used + non used ) = 55+25 = 80
%age of new sail boats = 55/80 * 100 ~~ 69% E
Here's my solution:
Let total boats = 100
Non-sail boats = y
We know, used sailboats = 25 (from qu.) and new non-sail boats = 3y/5
So, used NON-sailboats = 2y/5
Also, total used boats = 33
so, 25 + 2y/5 = 33
Or y = 20
so new non-sail boats = 12 (3y/5)
67% of all boats are new.
So new sail boats = 67-12 = 55
Total sail boats (used + non used ) = 55+25 = 80
%age of new sail boats = 55/80 * 100 ~~ 69% E
