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

It is currently 12 Dec 2018, 23:21

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 in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
  • The winning strategy for 700+ on the GMAT

     December 13, 2018

     December 13, 2018

     08:00 AM PST

     09:00 AM PST

    What people who reach the high 700's do differently? We're going to share insights, tips and strategies from data we collected on over 50,000 students who used examPAL.
  • GMATbuster's Weekly GMAT Quant Quiz, Tomorrow, Saturday at 9 AM PST

     December 14, 2018

     December 14, 2018

     09:00 AM PST

     10:00 AM PST

    10 Questions will be posted on the forum and we will post a reply in this Topic with a link to each question. There are prizes for the winners.

Of the students in a school, 20 percent are in the science club and 30

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

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 51135
Of the students in a school, 20 percent are in the science club and 30  [#permalink]

Show Tags

New post 12 Jul 2018, 23:50
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

66% (01:46) correct 34% (02:35) wrong based on 50 sessions

HideShow timer Statistics

Of the students in a school, 20 percent are in the science club and 30 percent are in the band. If 25 percent of the students in the school are in the band but are not in the science club, what percent of the students who are in the science club are not in the band?


A) 5%
B) 20%
C) 25%
D) 60%
E) 75%

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Intern
Intern
User avatar
B
Joined: 17 May 2018
Posts: 43
Re: Of the students in a school, 20 percent are in the science club and 30  [#permalink]

Show Tags

New post 13 Jul 2018, 02:38
It is easy to find the values with a Venn diagram.

From the 30 that are in the band, 25 are not in science, meaning that 5 are in both science and the band.
This means that the ones that are in science but not in the band are 20-5=15.

We need to find: #students that are in science but not in the band / #students that are in science = 15 / 20 = 75 / 100.

Answer E.
_________________

¿Tienes que presentar el GMAT y no sabes por dónde empezar?
¡Visita GMAT para Principiantes y recibe el curso completo gratis!

Senior SC Moderator
avatar
V
Joined: 22 May 2016
Posts: 2204
Premium Member CAT Tests
Of the students in a school, 20 percent are in the science club and 30  [#permalink]

Show Tags

New post 13 Jul 2018, 15:29
1
Bunuel wrote:
Of the students in a school, 20 percent are in the science club and 30 percent are in the band. If 25 percent of the students in the school are in the band but are not in the science club, what percent of the students who are in the science club are not in the band?


A) 5%
B) 20%
C) 25%
D) 60%
E) 75%

Attachment:
venn2018.07.13.jpg
venn2018.07.13.jpg [ 25.52 KiB | Viewed 544 times ]

Agreed, a Venn diagram is easy; I drew one immediately.
Careful with the question's wording: "[W]hat percent of the students who are in the science club are not in the band?"
"S . . .but not B" means "S only" (they are only in S, and not at all in B)
This percent means \(\frac{S.Only}{S.total}*100\)

Assume 100 students. Science club = S. Band = B
S total: 20% of all students = 20
B total: 30% of all students = 30

"25 percent of the students in the school are in the band but are not in the science club"
B but not S = "B only": 25% = 25
None of those 25 students can be in the overlap,
because the overlap contains B and S.
So 25 in B only (turquoise)

Number of students in both S and B, i.e. overlap? Use B total = 30
25 of 30 are B only
The other 5 must be in the overlap (lavender). There is no other category. Thus
Overlap, the number of students who are in both: S and B = 5

Now fill in S only.
S only? = (S total - overlap)
S only: (20 - 5) = 15 (yellow)

"What percent of the students who are in the science club are not in the band?"
Percent of all S who are not B? (OR: Percent of all S who are S only? OR: "S Only" is what percent of "all S"?)
\(\frac{15}{20}=\frac{3}{4}=(.75*100)=75\) percent

Answer E
GMAT Club Bot
Of the students in a school, 20 percent are in the science club and 30 &nbs [#permalink] 13 Jul 2018, 15:29
Display posts from previous: Sort by

Of the students in a school, 20 percent are in the science club and 30

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


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| 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®.