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In Garfield School, 250 students participate in debate or [#permalink]
 26 Feb 2012, 18:24
Question Stats:
48% (01:55) correct
51% (01:14) wrong based on 37 sessions
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. 
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Re: In Garfield School, 250 students participate in debate or [#permalink]
26 Feb 2012, 18:43
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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?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.
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Re: In Garfield School, 250 students participate in debate or [#permalink]
17 Mar 2012, 00:19
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.
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Re: In Garfield School, 250 students participate in debate or [#permalink]
17 Mar 2012, 00:49
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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. Hope it's clear.
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Re: In Garfield School, 250 students participate in debate or [#permalink]
17 Mar 2012, 01:50
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. Hope it's clear. Thanks Bunnel. Now I got it.
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Re: In Garfield School, 250 students participate in debate or [#permalink]
21 Mar 2012, 23:59
marked A, but bunuel explanation rocks +1
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Re: In Garfield School, 250 students participate in debate or [#permalink]
17 Apr 2012, 23:53
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.
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Re: In Garfield School, 250 students participate in debate or [#permalink]
18 Apr 2012, 04:01
some2none wrote: 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. "80 of the students... " refer to 250 students mentioned in the stem.
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COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. NEW!!! ,11 Mixed Questions NEW!!!, 12 Fresh Meat NEW!!!
DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set. NEW!!!, 11 New DS set. NEW!!!
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Re: In Garfield School, 250 students participate in debate or [#permalink]
18 Apr 2012, 07:24
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 ??
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Re: In Garfield School, 250 students participate in debate or [#permalink]
18 Apr 2012, 08:41
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Re: In Garfield School, 250 students participate in debate or [#permalink]
29 May 2013, 07:27
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Re: In Garfield School, 250 students participate in debate or
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29 May 2013, 07:27
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