Last visit was: 19 Nov 2025, 10:32 It is currently 19 Nov 2025, 10:32
Home
GMAT
Messages
Tests
Schools
Events
Rewards
Chat
My Profile
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
Back to Forum
Create Topic
User avatar
jyotibrata
User avatar
Joined: 18 Jul 2014
Last visit: 16 Mar 2020
Posts: 7
Own Kudos:
64
 [22]
Posts: 7
Kudos: 64
 [22]
total of 50 students from school A and B participated in exactly one 26 Dec 2015, 03:32
3
Kudos
Add Kudos
19
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
D
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:

39% (01:51) correct 61% (02:06) wrong based on 259 sessions

History

Date
Time
Result
Not Attempted Yet
1. total of 50 students from school A and B participated in exactly one of two sports-cricket and hockey. If the probability of randomly selecting a hockey student from school B is x, is x > 3/5?

(1) 35 students participated from school A.

(2) There were a total of 12 students who played hockey.
ShowHide Answer
Official Answer
D
Most Helpful Reply
User avatar
chetan2u
User avatar
GMAT Expert
Joined: 02 Aug 2009
Last visit: 15 Nov 2025
Posts: 11,238
Own Kudos:
43,703
 [10]
Given Kudos: 335
Status:Math and DI Expert
Location: India
Concentration: Human Resources, General Management
GMAT Focus 1: 735 Q90 V89 DI81
Products:
My Reviews
Expert
Expert reply
GMAT Focus 1: 735 Q90 V89 DI81
Posts: 11,238
Kudos: 43,703
 [10]
total of 50 students from school A and B participated in exactly one 26 Dec 2015, 03:42
3
Kudos
Add Kudos
7
Bookmarks
Bookmark this Post
1. total of 50 students from school A and B participated in exactly one of two sports-cricket and hockey. If the probability of randomly selecting a hockey student from school B is x, is x > 3/5?

(1) 35 students participated from school A.

(2) There were a total of 12 students who played hockey..

hi,
there are 50 students who either play hockey or cricket and are from either School A or B. Is the prob of picking a student who is both from school B and plays hockey >3/5..

lets see the statements..

(1) 35 students participated from school A.
we know now that the students from B are 15..
the prob of picking a school B student itself is 15/50..
even if we take the best scenario that all 15 play hockey.. the prob will be 15/50, which is less than 3/5.. suff

(2) There were a total of 12 students who played hockey..
here again we take the best scenario that all 12 are from school B..
the prob will be 12/50, less than 3/5... suff

ans D
General Discussion
User avatar
jyotibrata
User avatar
Joined: 18 Jul 2014
Last visit: 16 Mar 2020
Posts: 7
Own Kudos:
64
Posts: 7
Kudos: 64
total of 50 students from school A and B participated in exactly one 26 Dec 2015, 04:11
Kudos
Add Kudos
Bookmarks
Bookmark this Post
chetan2u
1. total of 50 students from school A and B participated in exactly one of two sports-cricket and hockey. If the probability of randomly selecting a hockey student from school B is x, is x > 3/5?

(1) 35 students participated from school A.

(2) There were a total of 12 students who played hockey..

hi,
there are 50 students who either play hockey or cricket and ar efrom either School A or B.. is prob of picking a student who is bothfrom school B and plays hockey >3/5..
lets see the statements..
1)(1) 35 students participated from school A.
we know now that the students from B are 15..
the prob of picking a school B student itself is 15/50..
even if we take the best scenario that all 15 play hockey.. the prob will be 15/20, which is less than 3/5.. suff

(2) There were a total of 12 students who played hockey..
here again we take the best scenario that all 12 are from school B..
th eprob will be 12/50, less than 3/5... suff

ans D
Show more

One doubt, "even if we take the best scenario that all 15 play hockey.. the prob will be 15/20", how 15/20 is coming?
User avatar
kanigmat011
User avatar
Joined: 27 Jul 2014
Last visit: 26 Dec 2019
Posts: 196
Own Kudos:
384
Given Kudos: 15
Schools: ISB '15
GMAT 1: 660 Q49 V30
GPA: 3.76
Products:
My Reviews
Schools: ISB '15
GMAT 1: 660 Q49 V30
Posts: 196
Kudos: 384
total of 50 students from school A and B participated in exactly one 31 Jan 2016, 00:20
Kudos
Add Kudos
Bookmarks
Bookmark this Post
chetan2u
1. total of 50 students from school A and B participated in exactly one of two sports-cricket and hockey. If the probability of randomly selecting a hockey student from school B is x, is x > 3/5?

(1) 35 students participated from school A.

(2) There were a total of 12 students who played hockey..

hi,
there are 50 students who either play hockey or cricket and ar efrom either School A or B.. is prob of picking a student who is bothfrom school B and plays hockey >3/5..
lets see the statements..
1)(1) 35 students participated from school A.
we know now that the students from B are 15..
the prob of picking a school B student itself is 15/50..
even if we take the best scenario that all 15 play hockey.. the prob will be 15/50, which is less than 3/5.. suff

(2) There were a total of 12 students who played hockey..
here again we take the best scenario that all 12 are from school B..
th eprob will be 12/50, less than 3/5... suff

ans D
Show more

Hi Chetan,

First option is clear but for option B Why are we assuming that total number of students in school B is 50

Please help mecon this
avatar
Prakashgupta
avatar
Joined: 05 Jun 2016
Last visit: 05 Jun 2016
Posts: 5
Own Kudos:
3
 [1]
Given Kudos: 1
Posts: 5
Kudos: 3
 [1]
total of 50 students from school A and B participated in exactly one 05 Jun 2016, 02:34
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
A total of 50 students from school A and B participated in exactly one of two sports-cricket and hockey. If the probability of randomly selecting a hockey student from school B is x, is x > 3/5?

(1) 35 students participated from school A.

(2) There were a total of 12 students who played hockey.

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
BOTH statements (1) and (2) TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient.
avatar
mukulgupta5
avatar
Joined: 09 Apr 2016
Last visit: 07 Jun 2016
Posts: 22
Own Kudos:
491
Given Kudos: 16
Location: India
Concentration: Finance, Strategy
Schools: NUS '18 (I)
GRE 1: Q165 V156
GPA: 3
WE:Analyst (Consulting)
Schools: NUS '18 (I)
GRE 1: Q165 V156
Posts: 22
Kudos: 491
total of 50 students from school A and B participated in exactly one 05 Jun 2016, 02:36
Kudos
Add Kudos
Bookmarks
Bookmark this Post
The question is about selecting one student randomly and finding whether the probability that student is a hockey player from school B is more than 3/5 or not. Since there are total 50 students, so the question can be rephrased as: Out of total 50 students, are there more than 30 students who are from school B and played Hockey?

Thus our question changes to knowing about the number of school B hockey players more than 30.

Statement 1) Total 35 students participated from school A. It implies the remaining students, i.e. (50 – 35) = 15 participated from school B. Now even if all 15 students from School B played hockey, the probability won’t be greater than 3/5 as it is 15/50.

Thus statement I is sufficient alone as we know that the probability of selecting an hockey student from school B cannot be greater than 3/5.

Statement II. There are a total of 12 students who played hockey. Now even if we consider all 12 students who played hockey to be from School B, The probability (a student selected randomly to be a hockey student from school B) = 12/50 < 3/5

Thus we know that probability will not be greater than 3/5.

Statement II is sufficient alone.
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 19 Nov 2025
Posts: 105,390
Own Kudos:
778,299
Given Kudos: 99,977
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 105,390
Kudos: 778,299
total of 50 students from school A and B participated in exactly one 05 Jun 2016, 03:21
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Prakashgupta
A total of 50 students from school A and B participated in exactly one of two sports-cricket and hockey. If the probability of randomly selecting a hockey student from school B is x, is x > 3/5?

(1) 35 students participated from school A.

(2) There were a total of 12 students who played hockey.

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
BOTH statements (1) and (2) TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient.
Show more

PLEASE SEARCH BEFORE POSTING.
User avatar
chesstitans
User avatar
Joined: 12 Dec 2016
Last visit: 20 Nov 2019
Posts: 987
Own Kudos:
1,923
Given Kudos: 2,562
Location: United States
Schools: Stanford '19 Carroll '19 LBS '19
GMAT 1: 700 Q49 V33
GPA: 3.64
Schools: Stanford '19 Carroll '19 LBS '19
GMAT 1: 700 Q49 V33
Posts: 987
Kudos: 1,923
total of 50 students from school A and B participated in exactly one 31 Aug 2017, 14:14
Kudos
Add Kudos
Bookmarks
Bookmark this Post
I read the question too fast, and I did not recognize that there are 2 different kinds of sports in this question.
avatar
NaveeNnani123
avatar
Joined: 31 Oct 2020
Last visit: 19 Jan 2021
Posts: 1
Given Kudos: 5
Posts: 1
Kudos: 0
total of 50 students from school A and B participated in exactly one 23 Nov 2020, 12:38
Kudos
Add Kudos
Bookmarks
Bookmark this Post
jyotibrata
chetan2u
1. total of 50 students from school A and B participated in exactly one of two sports-cricket and hockey. If the probability of randomly selecting a hockey student from school B is x, is x > 3/5?

(1) 35 students participated from school A.

(2) There were a total of 12 students who played hockey..

hi,
there are 50 students who either play hockey or cricket and ar efrom either School A or B.. is prob of picking a student who is bothfrom school B and plays hockey >3/5..
lets see the statements..
1)(1) 35 students participated from school A.
we know now that the students from B are 15..
the prob of picking a school B student itself is 15/50..
even if we take the best scenario that all 15 play hockey.. the prob will be 15/20, which is less than 3/5.. suff

(2) There were a total of 12 students who played hockey..
here again we take the best scenario that all 12 are from school B..
th eprob will be 12/50, less than 3/5... suff

ans D

One doubt, "even if we take the best scenario that all 15 play hockey.. the prob will be 15/20", how 15/20 is coming?
Show more

Posted from my mobile device
User avatar
sayan640
User avatar
Joined: 29 Oct 2015
Last visit: 10 Nov 2025
Posts: 1,179
Own Kudos:
813
Given Kudos: 783
GMAT 1: 570 Q42 V28
Products:
My Reviews
GMAT 1: 570 Q42 V28
Posts: 1,179
Kudos: 813
total of 50 students from school A and B participated in exactly one 12 Jan 2022, 14:52
Kudos
Add Kudos
Bookmarks
Bookmark this Post
NaveeNnani123
jyotibrata
chetan2u
1. total of 50 students from school A and B participated in exactly one of two sports-cricket and hockey. If the probability of randomly selecting a hockey student from school B is x, is x > 3/5?

(1) 35 students participated from school A.

(2) There were a total of 12 students who played hockey..

hi,
there are 50 students who either play hockey or cricket and ar efrom either School A or B.. is prob of picking a student who is bothfrom school B and plays hockey >3/5..
lets see the statements..
1)(1) 35 students participated from school A.
we know now that the students from B are 15..
the prob of picking a school B student itself is 15/50..
even if we take the best scenario that all 15 play hockey.. the prob will be 15/20, which is less than 3/5.. suff

(2) There were a total of 12 students who played hockey..
here again we take the best scenario that all 12 are from school B..
th eprob will be 12/50, less than 3/5... suff

ans D

One doubt, "even if we take the best scenario that all 15 play hockey.. the prob will be 15/20", how 15/20 is coming?

Posted from my mobile device
Show more

The probability will be 15/50 . chetan2u made the typing mistake here when he wrote "15/20".
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,587
Own Kudos:
1,079
Posts: 38,587
Kudos: 1,079
total of 50 students from school A and B participated in exactly one 22 Oct 2024, 06:37
Kudos
Add Kudos
Bookmarks
Bookmark this Post
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.
Moderators:
Bunuel
Math Expert
105390 posts
kingbucky
496 posts