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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

In a class of 50 students, 20 play Hockey, 15 play Cricket [#permalink]

Show Tags

01 May 2012, 21:28

2

This post received KUDOS

14

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

65% (hard)

Question Stats:

63% (03:02) correct
37% (02:33) wrong based on 598 sessions

HideShow timer Statistics

In a class of 50 students, 20 play Hockey, 15 play Cricket and 11 play Football. 7 play both Hockey and Cricket, 4 play Cricket and Football and 5 play Hockey and football. If 18 students do not play any of these given sports, how many students play exactly two of these sports?

Re: In a class of 50 students, 20 play Hockey, 15 play Cricket [#permalink]

Show Tags

01 May 2012, 23:27

4

This post received KUDOS

Expert's post

4

This post was BOOKMARKED

gmihir wrote:

In a class of 50 students, 20 play Hockey, 15 play Cricket and 11 play Football. 7 play both Hockey and Cricket, 4 play Cricket and Football and 5 play Hockey and football. If 18 students do not play any of these given sports, how many students play exactly two of these sports?

A. 12 B. 10 C. 11 D. 15 E. 14

Notice that "7 play both Hockey and Cricket" does not mean that out of those 7, some does not play Football too. The same for Cricket/Football and Hockey/Football.

Those who play ONLY Hockey and Cricket are 7-2=5; Those who play ONLY Cricket and Football are 4-2=2; Those who play ONLY Hockey and Football are 5-2=3;

Hence, 5+2+3=10 students play exactly two of these sports.

Re: In a class of 50 students, 20 play Hockey, 15 play Cricket [#permalink]

Show Tags

04 Nov 2013, 15:29

2

This post received KUDOS

2

This post was BOOKMARKED

Bunuel wrote:

josemnz83 wrote:

This question asks for the number of students who played exactly two sports? Why does the second formula not work here?

Notice that "7 play both Hockey and Cricket..." does NOT mean that these 7 students play ONLY Hockey and Cricket, some might play Football too. The same for "4 play Cricket and Football and 5 play Hockey and football". So, we cannot use the second formula directly. Also notice that we don't know the number of students who play all three sports.

But we CAN use the first formula, find the number of students who play all three and then find the number of students who play exactly two of the sports.

Hope it's clear.

Hi All,

That's exactly what I did, started with formula 1 and then used #2 once had "g" (all three):

Formula #1: 50=20+15+11-(7+4+5)+18 --> 2 (all three or "g") Formula #2: 50=20+15+11-x-(2*2)+18 which leads to 50=60-x ; x=10

Re: In a class of 50 students, 20 play Hockey, 15 play Cricket [#permalink]

Show Tags

07 Jul 2013, 23:02

1

This post received KUDOS

Expert's post

josemnz83 wrote:

This question asks for the number of students who played exactly two sports? Why does the second formula not work here?

Notice that "7 play both Hockey and Cricket..." does NOT mean that these 7 students play ONLY Hockey and Cricket, some might play Football too. The same for "4 play Cricket and Football and 5 play Hockey and football". So, we cannot use the second formula directly. Also notice that we don't know the number of students who play all three sports.

But we CAN use the first formula, find the number of students who play all three and then find the number of students who play exactly two of the sports.

Re: In a class of 50 students, 20 play Hockey, 15 play Cricket [#permalink]

Show Tags

09 Oct 2012, 11:39

I don't agree with the answer given If the question is correctly worded the answer ought to be 7 + 5 + 4 = 16 But if the question is: How many students play exactly one of these sports then the answer could be 10 (I haven't checked) Brother Karamazov

Re: In a class of 50 students, 20 play Hockey, 15 play Cricket [#permalink]

Show Tags

18 Oct 2013, 23:00

Bunuel wrote:

josemnz83 wrote:

This question asks for the number of students who played exactly two sports? Why does the second formula not work here?

Notice that "7 play both Hockey and Cricket..." does NOT mean that these 7 students play ONLY Hockey and Cricket, some might play Football too. The same for "4 play Cricket and Football and 5 play Hockey and football". So, we cannot use the second formula directly. Also notice that we don't know the number of students who play all three sports.

But we CAN use the first formula, find the number of students who play all three and then find the number of students who play exactly two of the sports.

Hope it's clear.

hey bunuel, if we had to find exactly one sport then how are we suppose to go ahead ?

In a class of 50 students, 20 play Hockey, 15 play Cricket [#permalink]

Show Tags

29 Jun 2014, 14:12

PareshGmat wrote:

Answer = 10 Using Venn Diagram Bunuel, can you please tell if this method is correct?. Got x -ve in this case

I do not agree with given explanation for the next reason.

If we apply the same logic as we did in previous questions, we get the next....

H=20 C=15 F=11

32 students in game

H and C max 7 C and F max 4 H and F max 5

so, H=20-7-5=8 max C=15-7-4= 4 max F=11-4-5=2 max

at this moment we have the max number of students= 7+4+5+8+4+2=30...2 less than the number of students who participate in any class. If we put any of these students into all three group we will reduce all three numbers of every two classes and can never get the total of 32.

So the formula might be applied well, but this is wrong answer, or even more possible wrong figures in task.

I was surprised that Bunuel did not notice this mistake.

In a class of 50 students, 20 play Hockey, 15 play Cricket [#permalink]

Show Tags

09 Jul 2014, 08:45

Bunuel wrote:

gmihir wrote:

In a class of 50 students, 20 play Hockey, 15 play Cricket and 11 play Football. 7 play both Hockey and Cricket, 4 play Cricket and Football and 5 play Hockey and football. If 18 students do not play any of these given sports, how many students play exactly two of these sports?

A. 12 B. 10 C. 11 D. 15 E. 14

Notice that "7 play both Hockey and Cricket" does not mean that out of those 7, some does not play Football too. The same for Cricket/Football and Hockey/Football.

[color=#ffff00]{Total}={Hockey}+{Cricket}+{Football}-{HC+CH+HF}+{All three}+{Neither} For more check ADVANCED OVERLAPPING SETS PROBLEMS [/color] 50=20+15+11-(7+4+5)+{All three}+18 --> {All three}=2;

Those who play ONLY Hockey and Cricket are 7-2=5; Those who play ONLY Cricket and Football are 4-2=2; Those who play ONLY Hockey and Football are 5-2=3;

Hence, 5+2+3=10 students play exactly two of these sports.

Answer: B.

Hi..why did not you use this formula as you have mentioned in the advance set problems..

A+B+C- (ALL TWO GROUPS)- 2(ALL 3 GROUPS)+NEITHER. I am confuse now. which is correct formula.

Re: In a class of 50 students, 20 play Hockey, 15 play Cricket [#permalink]

Show Tags

09 Jul 2014, 08:55

Expert's post

GGMAT730 wrote:

Bunuel wrote:

gmihir wrote:

In a class of 50 students, 20 play Hockey, 15 play Cricket and 11 play Football. 7 play both Hockey and Cricket, 4 play Cricket and Football and 5 play Hockey and football. If 18 students do not play any of these given sports, how many students play exactly two of these sports?

A. 12 B. 10 C. 11 D. 15 E. 14

Notice that "7 play both Hockey and Cricket" does not mean that out of those 7, some does not play Football too. The same for Cricket/Football and Hockey/Football.

[color=#ffff00]{Total}={Hockey}+{Cricket}+{Football}-{HC+CH+HF}+{All three}+{Neither} For more check ADVANCED OVERLAPPING SETS PROBLEMS [/color] 50=20+15+11-(7+4+5)+{All three}+18 --> {All three}=2;

Those who play ONLY Hockey and Cricket are 7-2=5; Those who play ONLY Cricket and Football are 4-2=2; Those who play ONLY Hockey and Football are 5-2=3;

Hence, 5+2+3=10 students play exactly two of these sports.

Answer: B.

Hi..why did not you use this formula as you have mentioned in the advance set problems..

A+B+C- (ALL TWO GROUPS)- 2(ALL 3 GROUPS)+NEITHER. I am confuse now. which is correct formula.

Thanks in advance

Have you read that post? There are two formulas there and the whole post is about the differences between them. _________________

Re: In a class of 50 students, 20 play Hockey, 15 play Cricket [#permalink]

Show Tags

17 Aug 2014, 06:21

gmihir wrote:

In a class of 50 students, 20 play Hockey, 15 play Cricket and 11 play Football. 7 play both Hockey and Cricket, 4 play Cricket and Football and 5 play Hockey and football. If 18 students do not play any of these given sports, how many students play exactly two of these sports?

A. 12 B. 10 C. 11 D. 15 E. 14

Bunnel,

Will you please explain, why you have chosen this formula against exactly 2 formulae.. LS _________________

Re: In a class of 50 students, 20 play Hockey, 15 play Cricket [#permalink]

Show Tags

15 Sep 2014, 04:26

lastshot wrote:

gmihir wrote:

In a class of 50 students, 20 play Hockey, 15 play Cricket and 11 play Football. 7 play both Hockey and Cricket, 4 play Cricket and Football and 5 play Hockey and football. If 18 students do not play any of these given sports, how many students play exactly two of these sports?

A. 12 B. 10 C. 11 D. 15 E. 14

Bunnel,

Will you please explain, why you have chosen this formula against exactly 2 formulae.. LS

Read the above posts from Bunuel. He has used both the formulas in this problem. Formula no.1 to calculate the no. of students playing all the 3 sports, and then Formula no.2 to calculate the no. of students who play exactly two sports....Hope this helps!

Re: In a class of 50 students, 20 play Hockey, 15 play Cricket [#permalink]

Show Tags

14 Jun 2015, 05:50

I've solved this one with the second formula Let X be the area where all 3 overlap and Exactly 2-Groups overlaps = 2-Group ovelaps - 3*X --> 50=20+15+11 -(7+4+5-3X) - 2X+18 X=2 and 16-3X=10 _________________

When you’re up, your friends know who you are. When you’re down, you know who your friends are.

Share some Kudos, if my posts help you. Thank you !

MBA Admission Calculator Officially Launched After 2 years of effort and over 1,000 hours of work, I have finally launched my MBA Admission Calculator . The calculator uses the...

Final decisions are in: Berkeley: Denied with interview Tepper: Waitlisted with interview Rotman: Admitted with scholarship (withdrawn) Random French School: Admitted to MSc in Management with scholarship (...

The London Business School Admits Weekend officially kicked off on Saturday morning with registrations and breakfast. We received a carry bag, name tags, schedules and an MBA2018 tee at...

I may have spoken to over 50+ Said applicants over the course of my year, through various channels. I’ve been assigned as mentor to two incoming students. A...