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At Western Springs School there are 150 total students [#permalink]
04 Jan 2013, 04:04

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A

B

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E

Difficulty:

95% (hard)

Question Stats:

43% (02:20) correct
57% (01:13) wrong based on 211 sessions

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]
04 Jan 2013, 04:27

1

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Expert's post

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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]
06 Jan 2013, 06:20

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]
06 Jan 2013, 06:40

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]
06 Jan 2013, 20:29

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]
07 Jan 2013, 03:07

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.

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