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:

At Western Springs School there are 150 total students [#permalink]

Show Tags

04 Jan 2013, 05:04

1

This post received KUDOS

6

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

95% (hard)

Question Stats:

45% (02:25) correct
55% (01:20) wrong based on 380 sessions

HideShow timer Statistics

At Western Springs School there are 150 total students who play either tennis, soccer, or both. Are there more students who play soccer than who play tennis?

Re: At Western Springs School there are 150 total students [#permalink]

Show Tags

04 Jan 2013, 05:27

1

This post received KUDOS

Expert's post

2

This post was BOOKMARKED

At Western Springs School there are 150 total students who play either tennis, soccer, or both. Are there more students who play soccer than who play tennis?

150 = {Tennis} + {Soccer} - {Both}

(1) 50 students don't play soccer. This implies that 150-50=100 students play soccer. It's possible that only 50 students play tennis (so none play both) as well as it's possible that all 150 students play tennis (so 100 play both). So, we can have both {Tennis}>{Soccer} and {Tennis}<{Soccer} scenarios. Not sufficient.

(2) 80 students don't play tennis. This implies that 150-80=70 students play tennis. The number of students who play soccer cannot possibly be less than or equal to 70, since in this case total # of students comes up to be less than 150. Sufficient.

Re: At Western Springs School there are 150 total students [#permalink]

Show Tags

27 May 2015, 02:18

1

This post received KUDOS

Expert's post

Drawing a Venn diagram in such cases helps in visualization of the problem statement and the question asked.

Interpreting the given info We are told that students in a school play either tennis or soccer or both and the total number of students in the school are 150. Let's represent this information through a Venn diagram

Since the total number of students are 150, we can write a + b + c + d = 150. We are also told that the students play either of the games i.e. there is no student who does not play any of the games. So d = 0 which leaves us with a + b + c = 150

We are asked if the number of students playing soccer is more than the number of students playing tennis. This can be written as

a + b > b + c i.e. a > c ?

Let's see if the statements provide us the required information to get to our answer.

Statement-I St-I tells us that 50 students don't play soccer. This is equal to the number of students who play only tennis i.e. c = 50. That leaves us with a + b = 100. So a > c or a < c.

Hence st-I is insufficient to answer the question.

Statement-II St-II tells us that 80 students don't play tennis. This is equal to the number of students who play only soccer i.e. a = 80. That leaves us with b + c = 70. We observe here that c can take a maximum value of 70. Hence a > c.

Re: At Western Springs School there are 150 total students [#permalink]

Show Tags

06 Jan 2013, 07:20

Bunuel wrote:

At Western Springs School there are 150 total students who play either tennis, soccer, or both. Are there more students who play soccer than who play tennis?

150 = {Tennis} + {Soccer} - {Both}

(1) 50 students don't play soccer. This implies that 150-50=100 students play soccer. It's possible that only 50 students play tennis (so none play both) as well as it's possible that all 150 students play tennis (so 100 play both). So, we can have both {Tennis}>{Soccer} and {Tennis}<{Soccer} scenarios. Not sufficient.

(2) 80 students don't play tennis. This implies that 150-80=70 students play tennis. The number of students who play soccer cannot possibly be less than or equal to 70, since in this case total # of students comes up to be less than 150. Sufficient.

Answer: B.

Hi Bunuel,

Stmt 2: Scenario 1: Soccer : 80 Tennis : 70 Both :0 Total : 150

Scenario 2: Soccer : 70 Tennis : 70 Both :10 Total : 150

Is this possible?

Also pls give some similar problems to work out ! _________________

GMAT - Practice, Patience, Persistence Kudos if u like

Re: At Western Springs School there are 150 total students [#permalink]

Show Tags

06 Jan 2013, 07:40

Expert's post

shanmugamgsn wrote:

Bunuel wrote:

At Western Springs School there are 150 total students who play either tennis, soccer, or both. Are there more students who play soccer than who play tennis?

150 = {Tennis} + {Soccer} - {Both}

(1) 50 students don't play soccer. This implies that 150-50=100 students play soccer. It's possible that only 50 students play tennis (so none play both) as well as it's possible that all 150 students play tennis (so 100 play both). So, we can have both {Tennis}>{Soccer} and {Tennis}<{Soccer} scenarios. Not sufficient.

(2) 80 students don't play tennis. This implies that 150-80=70 students play tennis. The number of students who play soccer cannot possibly be less than or equal to 70, since in this case total # of students comes up to be less than 150. Sufficient.

Answer: B.

Hi Bunuel,

Stmt 2: Scenario 1: Soccer : 80 Tennis : 70 Both :0 Total : 150

Scenario 2: Soccer : 70 Tennis : 70 Both :10 Total : 150 THIS IS WRONG.

Is this possible?

Also pls give some similar problems to work out !

Total= tennis + soccer - both. Hence the minimum number of soccer players is 80. _________________

Re: At Western Springs School there are 150 total students [#permalink]

Show Tags

06 Jan 2013, 21:29

Marcab wrote:

shanmugamgsn wrote:

Bunuel wrote:

At Western Springs School there are 150 total students who play either tennis, soccer, or both. Are there more students who play soccer than who play tennis?

150 = {Tennis} + {Soccer} - {Both}

(1) 50 students don't play soccer. This implies that 150-50=100 students play soccer. It's possible that only 50 students play tennis (so none play both) as well as it's possible that all 150 students play tennis (so 100 play both). So, we can have both {Tennis}>{Soccer} and {Tennis}<{Soccer} scenarios. Not sufficient.

(2) 80 students don't play tennis. This implies that 150-80=70 students play tennis. The number of students who play soccer cannot possibly be less than or equal to 70, since in this case total # of students comes up to be less than 150. Sufficient.

Answer: B.

Hi Bunuel,

Stmt 2: Scenario 1: Soccer : 80 Tennis : 70 Both :0 Total : 150

Scenario 2: Soccer : 70 Tennis : 70 Both :10 Total : 150 THIS IS WRONG.

Is this possible?

Also pls give some similar problems to work out !

Total= tennis + soccer - both. Hence the minimum number of soccer players is 80.

Hi Marcab, Thanks for reply.

I'm messed up with this simple ques... S2: 80 students don't play tennis (it doesnt mean they should play only Soccer ?) they can even play both. So 10 both 70 soccer and 70 tennis where i'm going wrong.. _________________

GMAT - Practice, Patience, Persistence Kudos if u like

Re: At Western Springs School there are 150 total students [#permalink]

Show Tags

07 Jan 2013, 04:07

Expert's post

shanmugamgsn wrote:

Hi Marcab, Thanks for reply.

I'm messed up with this simple ques... S2: 80 students don't play tennis (it doesnt mean they should play only Soccer ?) they can even play both. So 10 both 70 soccer and 70 tennis where i'm going wrong..

80 students out of 150 don't play tennis means that the remaining 70 do play tennis. How else?

Next, your example is not valid: if 10 play both and 70 play tennis only, then 80 students play tennis. Isn't it? So, in this case only 70 students don't play tennis which contradict the second statement.

At Western Springs School there are 150 total students [#permalink]

Show Tags

04 Apr 2015, 04:07

At Western Springs School there are 150 total students who play either tennis, soccer, or both. Are there more students who play soccer than who play tennis?

How I Understood is:

whenever we are given that X number don't play/study one type of sports/subject or Y number don't play/study one type of sport/subject

we should consider the formula for example in this problem : Total= Those who play Tennis only +Those who play Soccer Only+Those who play Both

150= tennis only+soccer only+Both

St:(1) 50 students don't play soccer

50=tennis only

two possibilities 150=50+100+0(100 play soccer only and 0 both)

100 play soccer >50 play tennis

or 150=50+0+100(0 play tennis only and 100 play both)

100 play soccer<150 play tennis

Not Sufficient.

St:(2) 80 students don't play tennis

80=soccer only possibilities 150=70+80+0 or 150=0+80+70 or 150=10+80+60

in any case there are more students who play soccer than who play tennis

Re: At Western Springs School there are 150 total students [#permalink]

Show Tags

05 Apr 2015, 15:56

Expert's post

1

This post was BOOKMARKED

Hi All,

The question is a "twist" on the typical Overlapping Sets question that you'll see on Test Day. Depending on the "restrictions" given in the prompt and the specific question that's asked, there are usually a few different ways to approach the work.

This particular prompt is designed in such a way that it can be solved with minimal note-taking and a bit of logic.

We're given a few facts to start off with: 1) There are 150 total students 2) They ALL play tennis, soccer OR both.

The question asks if more students play soccer than play tennis. This is a YES/NO question. The "key" to dealing with it is to remember that EVERY student plays at least one sport....

Fact 1: 50 students don't play soccer.

This tells us that these 50 students MUST play JUST tennis. But what about the other 100 students? We can deduce that they MUST play soccer, but they MIGHT also play tennis.....

IF.... All 150 students play tennis, then the answer to the question is NO.

IF..... 99 play tennis, then the answer to the question is YES. Fact 1 is INSUFFICIENT

Fact 2: 80 students don't play tennis.

This tells us that these 80 students MUST play JUST soccer. The other 70 students MUST play tennis, but it can't be any more than those 70. They might also play soccer, but whether they play soccer or not does NOT impact the question. We're asked if MORE students play soccer than play tennis. With this info, we know that the answer to the question MUST be YES. Fact 2 is SUFFICIENT.

At Western Springs School there are 150 total students [#permalink]

Show Tags

21 May 2015, 07:03

At Western Springs School there are 150 total students who play either tennis, soccer, or both. Are there more students who play soccer than who play tennis?

My Approach:

Consider t, s, b to be the number of students playing tennis only, soccer only and both tennis and soccer respectively.

What is provided to us:: 150 = t + s + b

we just need to find if s > t?

Now, (1) states 50 students don't play soccer

=> t = 50 (students who don't play soccer=>play tennis only)

So, 50 + s + b = 150 => s + b = 100.

This is Not Sufficient. Because, for any value of b > 50 we will get s < t, and for any value of b < 50 we will get s > t.

(2) states 80 students don't play tennis

=> s = 80 (students who don't play tennis=>play soccer only)

So, t + 80 + b = 150 => t + b = 70.

Here whatever be the value of b, t will have value less than or equal to 70. So, t <=70 and s = 80. So, s > t.

Thus Sufficient

Ans:: B.

gmatclubot

At Western Springs School there are 150 total students
[#permalink]
21 May 2015, 07:03

Part 2 of the GMAT: How I tackled the GMAT and improved a disappointing score Apologies for the month gap. I went on vacation and had to finish up a...

Cal Newport is a computer science professor at GeorgeTown University, author, blogger and is obsessed with productivity. He writes on this topic in his popular Study Hacks blog. I was...

So the last couple of weeks have seen a flurry of discussion in our MBA class Whatsapp group around Brexit, the referendum and currency exchange. Most of us believed...