NEW HERE? LEARN MORE
closeclose
Last visit was: 24 Apr 2024, 17:37 It is currently 24 Apr 2024, 17:37
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

At a particular school, 60 male students play sports. How many male st

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92900
Own Kudos [?]: 618815 [9]
Given Kudos: 81588
Send PM
CAT Tests Forum Quiz Mode
At a particular school, 60 male students play sports. How many male st [#permalink] New post   06 Apr 2016, 02:11
2
Kudos
7
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

75% (hard)

Question Stats:

45% (01:56) correct 55% (01:46) wrong based on 106 sessions
Hide Show timer Statistics
At a particular school, 60 male students play sports. How many male students attend the school?

(1) At the school, 3/4 of the female students play sports.
(2) At the school, 1/4 of the students do not play sports.
ShowHide Answer
Official Answer
C
User avatar
B
peachfuzz
Senior Manager
Senior Manager
Joined: 28 Feb 2014
Posts: 269
Own Kudos [?]: 318 [0]
Given Kudos: 132
Location: United States
Concentration: Strategy, General Management
Send PM
Reviews Badge
Re: At a particular school, 60 male students play sports. How many male st [#permalink] New post   06 Apr 2016, 17:47
At a particular school, 60 male students play sports. How many male students attend the school?

(1) At the school, 3/4 of the female students play sports.
3/4 females play sports, 1/4 females do not
no info given on actual numbers
Insufficient

(2) At the school, 1/4 of the students do not play sports.
1/4 students do not play sports, 3/4 play sports
no info on numbers
Insufficient

Answer: E
avatar
rohanadagouda23
Intern
Intern
Joined: 14 Sep 2015
Posts: 1
Own Kudos [?]: [0]
Given Kudos: 184
Schools: Krannert '19 Arizona State"19
GMAT 1: 590 Q45 V27
Send PM
Re: At a particular school, 60 male students play sports. How many male st [#permalink] New post   17 Apr 2016, 08:00
Bunuel Can you explain the solution ?
TIA
User avatar
L
chetan2u
RC & DI Moderator
Joined: 02 Aug 2009
Status:Math and DI Expert
Posts: 11169
Own Kudos [?]: 31890 [1]
Given Kudos: 290
Send PM
Reviews Badge
Re: At a particular school, 60 male students play sports. How many male st [#permalink] New post   17 Apr 2016, 09:05
1
Kudos
Expert Reply
rohanadagouda23 wrote:
Bunuel Can you explain the solution ?
TIA


At a particular school, 60 male students play sports. How many male students attend the school?
let male = m and female = f
we require to know male students who do not play game to find m...

Lets see the statements--



(1) At the school, 3/4 of the female students play sports.
so \(\frac{3}{4} f\)play sports and 60 male students play sports..
so tOTAL who play games = 3/4 f + 60
Nothing about male students who do not play game
Insuff

(2) At the school, 1/4 of the students do not play sports.
now we know 3/4 of total students play game..
But we do not know the ratio of f:m..
Insuff

Combined--
we know ONLY 3/4 of Total play games and ALSO from (1) 3/4 of 'f' play game
\(\frac{3}{4} (T) = \frac{3}{4} (f+m) = \frac{3}{4} m + \frac{3}{4} f\)...
also from (1) this is equal to \(\frac{3}{4} f + 60\)..
so \(\frac{3}{4} m + \frac{3}{4} f = \frac{3}{4} f + 60\).
OR 3/4 m = 60 or m= 60*4/3=80
suff
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92900
Own Kudos [?]: 618815 [1]
Given Kudos: 81588
Send PM
CAT Tests Forum Quiz Mode
Re: At a particular school, 60 male students play sports. How many male st [#permalink] New post   17 Apr 2016, 09:22
1
Kudos
Expert Reply
rohanadagouda23 wrote:
Bunuel Can you explain the solution ?
TIA


At a particular school, 60 male students play sports. How many male students attend the school?

(1) At the school, 3/4 of the female students play sports. Not sufficient.
(2) At the school, 1/4 of the students do not play sports. Not sufficient.

(1)+(2) When combining we have the following:


Notice that we should find the number of male students which is Total - Females, yellow box (T-F).

Write equation for Sports column: 60 + 3/4*F = 3/4*T --> T - F = 80. Sufficient.

Answer: C.

Hope it's clear.

Show Spoiler
Attachment:
Matrix.png
Matrix.png [ 3.54 KiB | Viewed 2704 times ]
avatar
G
varundixitmro2512
Manager
Manager
Joined: 04 Apr 2015
Posts: 84
Own Kudos [?]: 251 [0]
Given Kudos: 3989
Send PM
Re: At a particular school, 60 male students play sports. How many male st [#permalink] New post   17 Apr 2016, 11:21
Why it cant be B

3/4 of total play sport, so if there are m males and f females then 3/4(m+f) play sports ie. 3/4m +3/4f

however we know 60 males play sports so 3/4m =60 and m =80
We dont need A for that.
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92900
Own Kudos [?]: 618815 [0]
Given Kudos: 81588
Send PM
CAT Tests Forum Quiz Mode
Re: At a particular school, 60 male students play sports. How many male st [#permalink] New post   18 Apr 2016, 00:18
Expert Reply
varundixitmro2512 wrote:
Why it cant be B

3/4 of total play sport, so if there are m males and f females then 3/4(m+f) play sports ie. 3/4m +3/4f

however we know 60 males play sports so 3/4m =60 and m =80
We dont need A for that.


That's not correct. Yes, we know that 3/4 of total play sports but it does NOT mean that 3/4 of males play sport.
avatar
B
knuckleduster
Current Student
Joined: 26 May 2013
Posts: 33
Own Kudos [?]: 26 [0]
Given Kudos: 28
GMAT 1: 730 Q50 V39
GPA: 3.6
Send PM
GMAT ToolKit User Reviews Badge
Re: At a particular school, 60 male students play sports. How many male st [#permalink] New post   18 Apr 2016, 20:03
Bunuel wrote:
At a particular school, 60 male students play sports. How many male students attend the school?

(1) At the school, 3/4 of the female students play sports.
(2) At the school, 1/4 of the students do not play sports.



Here is my logic, please let me know if there are any flaws in this.


(1) No info about male students. Insufficient
(2) Cannot make any inferences about the number of male students either. Insufficient.

Combined: Statement 1 tells us that 3/4 females play sports and statement 2 tells us that 3/4 of the all students play sports.
For 3/4 ratio of females to be maintained on the whole school level, we need male students to have the same ratio. Any other ratio would change prove statement 2 wrong. Which tells us that 3/4 male students play sports.

Answer:C
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32655
Own Kudos [?]: 821 [0]
Given Kudos: 0
Send PM
Re: At a particular school, 60 male students play sports. How many male st [#permalink] New post   20 Aug 2019, 09:32
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
gmatclubot
Re: At a particular school, 60 male students play sports. How many male st [#permalink]
20 Aug 2019, 09:32
Moderator:
Bunuel
Math Expert
92900 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions