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In Garfield School, 250 students participate in debate or [#permalink]

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26 Feb 2012, 17:24

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In Garfield School, 250 students participate in debate or student government or both. If 40 of these students participate in both debate and student government, how many of these students do not participate in debate?

(1) 80 of the students do not participate in student government. (2) In Garfield School, 150 students do not participate in either debate or student government.

Scratching my head. Just lost the touch on these questions. Need help.

In Garfield School, 250 students participate in debate or student government or both. If 40 of these students participate in both debate and student government, how many of these students do not participate in debate?

Given: {250}={Debate}+{Government}-{40}, (notice that 250 students participate in debate or government or both, so no need of the group {neither} here).

Question: how many of these students do not participate in debate? Which means how many participate in government ONLY: {Government}-{40}=? So basically we need to find the value of {Government}.

(1) 80 of the students do not participate in student government --> {Debate}-{40}=80. We know {Debate}, we can get {Government}. Sufficient.

(2) In Garfield School, 150 students do not participate in either debate or student government. Useless info. Not sufficient.

Re: In Garfield School, 250 students participate in debate or [#permalink]

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16 Mar 2012, 23:19

Bunuel wrote:

In Garfield School, 250 students participate in debate or student government or both. If 40 of these students participate in both debate and student government, how many of these students do not participate in debate?

Given: {250}={Debate}+{Government}-{40}, (notice that 250 students participate in debate or government or both, so no need of the group {neither} here).

Question: how many of these students do not participate in debate? Which means how many participate in government ONLY: {Government}-{40}=? So basically we need to find the value of {Government}.

(1) 80 of the students do not participate in student government --> {Debate}-{40}=80. We know {Debate}, we can get {Government}. Sufficient.

(2) In Garfield School, 150 students do not participate in either debate or student government. Useless info. Not sufficient.

Answer: A.

Thanks for the explanation bunnel. I think second option is contradicting question stem where you have pointed out "(notice that 250 students participate in debate or government or both, so no need of the group {neither} here)" but neither is given in the second option.
_________________

In Garfield School, 250 students participate in debate or student government or both. If 40 of these students participate in both debate and student government, how many of these students do not participate in debate?

Given: {250}={Debate}+{Government}-{40}, (notice that 250 students participate in debate or government or both, so no need of the group {neither} here).

Question: how many of these students do not participate in debate? Which means how many participate in government ONLY: {Government}-{40}=? So basically we need to find the value of {Government}.

(1) 80 of the students do not participate in student government --> {Debate}-{40}=80. We know {Debate}, we can get {Government}. Sufficient.

(2) In Garfield School, 150 students do not participate in either debate or student government. Useless info. Not sufficient.

Answer: A.

Thanks for the explanation bunnel. I think second option is contradicting question stem where you have pointed out "(notice that 250 students participate in debate or government or both, so no need of the group {neither} here)" but neither is given in the second option.

Yes, I see your point but it's not so: there is no need for {neither} in the formula {250}={Debate}+{Government}-{40}, means that among those 250 students there are no student who do not participate in either debate or government, but it doesn't mean that such students doesn't exist at all. Statement (2) says that there is such a group of 150 people apart of the group of 250.

Re: In Garfield School, 250 students participate in debate or [#permalink]

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17 Mar 2012, 00:50

Bunuel wrote:

shadabkhaniet wrote:

Bunuel wrote:

In Garfield School, 250 students participate in debate or student government or both. If 40 of these students participate in both debate and student government, how many of these students do not participate in debate?

Given: {250}={Debate}+{Government}-{40}, (notice that 250 students participate in debate or government or both, so no need of the group {neither} here).

Question: how many of these students do not participate in debate? Which means how many participate in government ONLY: {Government}-{40}=? So basically we need to find the value of {Government}.

(1) 80 of the students do not participate in student government --> {Debate}-{40}=80. We know {Debate}, we can get {Government}. Sufficient.

(2) In Garfield School, 150 students do not participate in either debate or student government. Useless info. Not sufficient.

Answer: A.

Thanks for the explanation bunnel. I think second option is contradicting question stem where you have pointed out "(notice that 250 students participate in debate or government or both, so no need of the group {neither} here)" but neither is given in the second option.

Yes, I see your point but it's not so: there is no need for {neither} in the formula {250}={Debate}+{Government}-{40}, means that among those 250 students there are no student who do not participate in either debate or government, but it doesn't mean that such students doesn't exist at all. Statement (2) says that there is such a group of 150 people apart of the group of 250.

Re: In Garfield School, 250 students participate in debate or [#permalink]

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17 Apr 2012, 22:53

Bunuel wrote:

(1) 80 of the students do not participate in student government --> {Debate}-{40}=80. We know {Debate}, we can get {Government}. Sufficient.

Answer: A.

Because St1 did not state that 80 students belong to the group of 250 students, I'm arriving at the below {Debate} + {Neither} - {Both} = 80 {Debate} + {Neither} - 40 = 80 {Neither} could be some non-zero number.

{Niether} = 0, only if St1 says that these 80 students belong to the group of 250 students. As a result, I'm still unable to understand how you arrived at A.

(1) 80 of the students do not participate in student government --> {Debate}-{40}=80. We know {Debate}, we can get {Government}. Sufficient.

Answer: A.

Because St1 did not state that 80 students belong to the group of 250 students, I'm arriving at the below {Debate} + {Neither} - {Both} = 80 {Debate} + {Neither} - 40 = 80 {Neither} could be some non-zero number.

{Niether} = 0, only if St1 says that these 80 students belong to the group of 250 students. As a result, I'm still unable to understand how you arrived at A.

"80 of the students... " refer to 250 students mentioned in the stem.
_________________

why is the answer A when in the stem it is not mentioned that total number of students is 250. It just says that govt+debate+both is 250 ???

What is the OA ??

OA is given under the spoiler in the first post.

Your question is answered in the posts above: entire question is about those 250 students who participate in debate or student government or both. Statement (1) also talks about 80 of the 250 students who do not participate in student government.
_________________

In Garfield School, 250 students participate in debate or [#permalink]

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22 Oct 2014, 17:20

Bunuel wrote:

In Garfield School, 250 students participate in debate or student government or both. If 40 of these students participate in both debate and student government, how many of these students do not participate in debate?

Given: {250}={Debate}+{Government}-{40}, (notice that 250 students participate in debate or government or both, so no need of the group {neither} here).

Question: how many of these students do not participate in debate? Which means how many participate in government ONLY: {Government}-{40}=? So basically we need to find the value of {Government}.

(1) 80 of the students do not participate in student government --> {Debate}-{40}=80. We know {Debate}, we can get {Government}. Sufficient.

(2) In Garfield School, 150 students do not participate in either debate or student government. Useless info. Not sufficient.

Answer: A.

Hi Bunuel, Is it possible to solve the problem using double-sided matrix as I am having hard-time setting it up correctly. Thanks your help!

In Garfield School, 250 students participate in debate or student government or both. If 40 of these students participate in both debate and student government, how many of these students do not participate in debate?

Given: {250}={Debate}+{Government}-{40}, (notice that 250 students participate in debate or government or both, so no need of the group {neither} here).

Question: how many of these students do not participate in debate? Which means how many participate in government ONLY: {Government}-{40}=? So basically we need to find the value of {Government}.

(1) 80 of the students do not participate in student government --> {Debate}-{40}=80. We know {Debate}, we can get {Government}. Sufficient.

(2) In Garfield School, 150 students do not participate in either debate or student government. Useless info. Not sufficient.

Answer: A.

Hi Bunuel, Is it possible to solve the problem using double-sided matrix as I am having hard-time setting it up correctly. Thanks your help!

Here it is for the first statement:

Numbers in black are given and in red are calculated.

Re: In Garfield School, 250 students participate in debate or [#permalink]

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16 Feb 2016, 21:38

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Re: In Garfield School, 250 students participate in debate or [#permalink]

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07 Mar 2016, 13:09

Bunuel wrote:

khanym wrote:

Bunuel wrote:

In Garfield School, 250 students participate in debate or student government or both. If 40 of these students participate in both debate and student government, how many of these students do not participate in debate?

Given: {250}={Debate}+{Government}-{40}, (notice that 250 students participate in debate or government or both, so no need of the group {neither} here).

Question: how many of these students do not participate in debate? Which means how many participate in government ONLY: {Government}-{40}=? So basically we need to find the value of {Government}.

(1) 80 of the students do not participate in student government --> {Debate}-{40}=80. We know {Debate}, we can get {Government}. Sufficient.

(2) In Garfield School, 150 students do not participate in either debate or student government. Useless info. Not sufficient.

Answer: A.

Hi Bunuel, Is it possible to solve the problem using double-sided matrix as I am having hard-time setting it up correctly. Thanks your help!

Here it is for the first statement:

Attachment:

Untitled.png

Numbers in black are given and in red are calculated.

Hope it helps.

Hi Bunuel! Could you please explain how you got 0 in "No Debate / No SG" cell? It seems there is nothing being said about this in both options. Thank you in advance!

In Garfield School, 250 students participate in debate or student government or both. If 40 of these students participate in both debate and student government, how many of these students do not participate in debate?

Given: {250}={Debate}+{Government}-{40}, (notice that 250 students participate in debate or government or both, so no need of the group {neither} here).

Question: how many of these students do not participate in debate? Which means how many participate in government ONLY: {Government}-{40}=? So basically we need to find the value of {Government}.

(1) 80 of the students do not participate in student government --> {Debate}-{40}=80. We know {Debate}, we can get {Government}. Sufficient.

(2) In Garfield School, 150 students do not participate in either debate or student government. Useless info. Not sufficient.

Answer: A.

Hi Bunuel! Could you please explain how you got 0 in "No Debate / No SG" cell? It seems there is nothing being said about this in both options. Thank you in advance!

Check the highlighted text above.

We are told that 250 students participate in debate or student government or both. Thus there was no one, out of those 250, who did not participate in either debate or student government.

Re: In Garfield School, 250 students participate in debate or [#permalink]

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25 Sep 2017, 22:14

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.
_________________