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

 It is currently 16 Oct 2019, 22:37

### 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

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

# total of 50 students from school A and B participated in exactly one

Author Message
TAGS:

### Hide Tags

Intern
Joined: 18 Jul 2014
Posts: 7
total of 50 students from school A and B participated in exactly one  [#permalink]

### Show Tags

26 Dec 2015, 03:32
2
8
00:00

Difficulty:

95% (hard)

Question Stats:

35% (01:54) correct 65% (02:13) wrong based on 155 sessions

### HideShow timer Statistics

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.
Math Expert
Joined: 02 Aug 2009
Posts: 7961
Re: total of 50 students from school A and B participated in exactly one  [#permalink]

### Show Tags

26 Dec 2015, 03:42
3
5
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
_________________
##### General Discussion
Intern
Joined: 18 Jul 2014
Posts: 7
Re: total of 50 students from school A and B participated in exactly one  [#permalink]

### Show Tags

26 Dec 2015, 04:11
chetan2u wrote:
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?
Manager
Joined: 27 Jul 2014
Posts: 235
Schools: ISB '15
GMAT 1: 660 Q49 V30
GPA: 3.76
Re: total of 50 students from school A and B participated in exactly one  [#permalink]

### Show Tags

31 Jan 2016, 00:20
chetan2u wrote:
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

Hi Chetan,

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

Intern
Joined: 05 Jun 2016
Posts: 5
A total of 50 students from school A and B participated in exactly one  [#permalink]

### Show Tags

05 Jun 2016, 02:34
1
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.
Intern
Joined: 09 Apr 2016
Posts: 23
Location: India
Concentration: Finance, Strategy
Schools: NUS '18 (I)
GRE 1: Q165 V156
GPA: 3
WE: Analyst (Consulting)
Re: A total of 50 students from school A and B participated in exactly one  [#permalink]

### Show Tags

05 Jun 2016, 02:36
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.
Math Expert
Joined: 02 Sep 2009
Posts: 58390
Re: total of 50 students from school A and B participated in exactly one  [#permalink]

### Show Tags

05 Jun 2016, 03:21
Prakashgupta wrote:
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.

_________________
VP
Joined: 12 Dec 2016
Posts: 1492
Location: United States
GMAT 1: 700 Q49 V33
GPA: 3.64
Re: total of 50 students from school A and B participated in exactly one  [#permalink]

### Show Tags

31 Aug 2017, 14:14
I read the question too fast, and I did not recognize that there are 2 different kinds of sports in this question.
Non-Human User
Joined: 09 Sep 2013
Posts: 13204
Re: total of 50 students from school A and B participated in exactly one  [#permalink]

### Show Tags

21 Jan 2019, 21:30
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.
_________________
Re: total of 50 students from school A and B participated in exactly one   [#permalink] 21 Jan 2019, 21:30
Display posts from previous: Sort by