Author 
Message 
TAGS:

Hide Tags

Senior Manager
Status: Finally Done. Admitted in Kellogg for 2015 intake
Joined: 25 Jun 2011
Posts: 478
Location: United Kingdom
Concentration: International Business, Strategy
GPA: 2.9
WE: Information Technology (Consulting)

In Washington School, 150 students study physics or biology
[#permalink]
Show Tags
15 Mar 2012, 16:04
Question Stats:
71% (01:45) correct 29% (01:54) wrong based on 429 sessions
HideShow timer Statistics
In Washington School, 150 students study physics or biology or both. If 60 of these students do not study biology, how many of these students study both physics and biology? (1) Of the 150 students, 40 do not study physics. (2) A total of 110 of the students study physics. I understand the rest of the question apart from the highlighted text. Can someone please try to explain where it fits in the table please? And also, I will appreciate if you can also please let me know how to get D as an answer.
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
Best Regards, E.
MGMAT 1 > 530 MGMAT 2> 640 MGMAT 3 > 610 GMAT ==> 730



Intern
Joined: 06 Mar 2012
Posts: 32

Re: Students who study both?
[#permalink]
Show Tags
15 Mar 2012, 19:48
In Washington School, 150 students study physics or biology or both. If 60 of these students do not study biology, how many of these students study both physics and biology?
(1) Of the 150 students, 40 do not study physics. (2) A total of 110 of the students study physics.
ADBCE
A: Draw a Venn diagram. 60 of these students do not study biology therefore 60 are exclusively physics students. 40 do not study physics therefore 40 are exclusively biology students. This leaves 50 remaining students that study both.
Since A is confirmed, we evaluate B alone...
B: I started off by drawing a Venn diagram for this one too. If 60 of these students do not study biology then they must do physics (same start as A). Now the statement says a total of 110 students study physics so 11060= 50. These remaining 50 must study both.
A and B are both valid therefore D is the answer. Please let me know if I'm missing something. Hope that helps.



Math Expert
Joined: 02 Sep 2009
Posts: 50001

Re: Students who study both?
[#permalink]
Show Tags
16 Mar 2012, 02:03
enigma123 wrote: In Washington School, 150 students study physics or biology or both. If 60 of these students do not study biology, how many of these students study both physics and biology?
(1) Of the 150 students, 40 do not study physics. (2) A total of 110 of the students study physics.
I understand the rest of the question apart from the highlighted text. Can someone please try to explain where it fits in the table please? And also, I will appreciate if you can also please let me know how to get D as an answer. In Washington School, 150 students study physics or biology or both. If 60 of these students do not study biology, how many of these students study both physics and biology?"150 students study physics or biology or both" means: 150={physics}+{biology}{both}, we subtract {both} (students who study both physics or biology) since its counted in {physics} as well as in {biology}. "60 of these students do not study biology" means: 60={physics}{both} (so 60 study ONLY physics) > 150=60+{biology} (from above) > {biology}=90. Question: {both}=?(1) Of the 150 students, 40 do not study physics > 40={biology}{both} > 40=90{both} > {both}=50. Sufficient. (2) A total of 110 of the students study physics > {physics}=110, so from 60={physics}{both} > {both}=50. Sufficient. Answer: D.
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
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. ,11 Mixed Questions, 12 Fresh Meat 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., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics



Manager
Status: May The Force Be With Me (DDAY 15 May 2012)
Joined: 06 Jan 2012
Posts: 222
Location: India
Concentration: General Management, Entrepreneurship

Re: In Washington School, 150 students study physics or biology
[#permalink]
Show Tags
16 Mar 2012, 02:29
+1 D I used the ven dig to solve this Got P=110 in the first statement & this is also given in the 2nd statement. Thus D
_________________
Giving +1 kudos is a better way of saying 'Thank You'.



Math Expert
Joined: 02 Sep 2009
Posts: 50001

Re: In Washington School, 150 students study physics or biology
[#permalink]
Show Tags
11 Jun 2013, 07:27



VP
Status: Far, far away!
Joined: 02 Sep 2012
Posts: 1076
Location: Italy
Concentration: Finance, Entrepreneurship
GPA: 3.8

Re: In Washington School, 150 students study physics or biology
[#permalink]
Show Tags
11 Jun 2013, 09:00
enigma123 wrote: In Washington School, 150 students study physics or biology or both. If 60 of these students do not study biology, how many of these students study both physics and biology?
(1) Of the 150 students, 40 do not study physics. (2) A total of 110 of the students study physics.
I understand the rest of the question apart from the highlighted text. Can someone please try to explain where it fits in the table please? And also, I will appreciate if you can also please let me know how to get D as an answer. Let \(a\) be the number of ONLY physics, \(b\) the number of ONLY biology and \(c\) the number of both PB. \(a+b+c=150\) and \(a=60\) so \(b+c=90\), c=? (1) Of the 150 students, 40 do not study physics. (or study ONLY biology) \(b=40\) => \(c=50\) Sufficient (2) A total of 110 of the students study physics. \(a+c=100\), \(c=50\) Sufficient
_________________
It is beyond a doubt that all our knowledge that begins with experience.
Kant , Critique of Pure Reason Tips and tricks: Inequalities , Mixture  Review: MGMAT workshop Strategy: SmartGMAT v1.0  Questions: Verbal challenge SC III CR New SC set out !! , My QuantRules for Posting in the Verbal Forum  Rules for Posting in the Quant Forum[/size][/color][/b]



SVP
Joined: 06 Sep 2013
Posts: 1764
Concentration: Finance

Re: In Washington School, 150 students study physics or biology
[#permalink]
Show Tags
13 Oct 2013, 06:13
enigma123 wrote: In Washington School, 150 students study physics or biology or both. If 60 of these students do not study biology, how many of these students study both physics and biology?
(1) Of the 150 students, 40 do not study physics. (2) A total of 110 of the students study physics.
I understand the rest of the question apart from the highlighted text. Can someone please try to explain where it fits in the table please? And also, I will appreciate if you can also please let me know how to get D as an answer. When they say X, Y or both, do they always mean that Neither is zero? Cause I remember seeing a question where this was stated and then had a surprise when in one of the statements it mentioned that neither had a value. Just wondering what is usually the case with this type of wording. Thanks for the feedback Cheers J



Math Expert
Joined: 02 Sep 2009
Posts: 50001

Re: In Washington School, 150 students study physics or biology
[#permalink]
Show Tags
14 Oct 2013, 04:56
jlgdr wrote: enigma123 wrote: In Washington School, 150 students study physics or biology or both. If 60 of these students do not study biology, how many of these students study both physics and biology?
(1) Of the 150 students, 40 do not study physics. (2) A total of 110 of the students study physics.
I understand the rest of the question apart from the highlighted text. Can someone please try to explain where it fits in the table please? And also, I will appreciate if you can also please let me know how to get D as an answer. When they say X, Y or both, do they always mean that Neither is zero? Cause I remember seeing a question where this was stated and then had a surprise when in one of the statements it mentioned that neither had a value. Just wondering what is usually the case with this type of wording. Thanks for the feedback Cheers J 150 students study physics or biology or both means that no one from these 150 studies neither physics or biology. How else? Can you please post the link to the question you are talking about? Thank you.
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
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. ,11 Mixed Questions, 12 Fresh Meat 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., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics



Manager
Joined: 29 Aug 2013
Posts: 74
Location: United States
Concentration: Finance, International Business
GMAT 1: 590 Q41 V29 GMAT 2: 540 Q44 V20
GPA: 3.5
WE: Programming (Computer Software)

Re: In Washington School, 150 students study physics or biology
[#permalink]
Show Tags
14 Oct 2013, 07:43
enigma123 wrote: In Washington School, 150 students study physics or biology or both. If 60 of these students do not study biology, how many of these students study both physics and biology?
(1) Of the 150 students, 40 do not study physics. (2) A total of 110 of the students study physics.
I understand the rest of the question apart from the highlighted text. Can someone please try to explain where it fits in the table please? And also, I will appreciate if you can also please let me know how to get D as an answer. Used a table method to solve. Kudo if it helps
Attachments
Solution.png [ 19.81 KiB  Viewed 3984 times ]



Director
Joined: 07 Aug 2011
Posts: 540
Concentration: International Business, Technology

Re: In Washington School, 150 students study physics or biology
[#permalink]
Show Tags
25 Mar 2015, 00:40
enigma123 wrote: In Washington School, 150 students study physics or biology or both. If 60 of these students do not study biology, how many of these students study both physics and biology?
(1) Of the 150 students, 40 do not study physics. (2) A total of 110 of the students study physics.
I understand the rest of the question apart from the highlighted text. Can someone please try to explain where it fits in the table please? And also, I will appreciate if you can also please let me know how to get D as an answer. highlighted text clearly tells us that Neither Physics Nor Biology sector is 0 *****P***NP****** **B**X***Y*****90 **NB*Z***0*****60 *****110*40****150 we can fill rest of elements X,Y and Z . both option are sufficient.
_________________
Thanks, Lucky
_______________________________________________________ Kindly press the to appreciate my post !!



Manager
Joined: 17 Jun 2015
Posts: 220
GMAT 1: 540 Q39 V26 GMAT 2: 680 Q46 V37

Re: In Washington School, 150 students study physics or biology
[#permalink]
Show Tags
22 Dec 2015, 13:09
The highlighted segment in the question makes it easier to find out that there is no 'Neither' case here. Wish GMAT was this encouraging! There are three sections. Section 1 Physics only. Section 2 Both. Section 3. Biology only. D0 not study physics = study only biology. Sufficient to complete the equations. No of physics = Physics only + Both, which gives the other component. Each statement alone is sufficient
_________________
Fais de ta vie un rêve et d'un rêve une réalité



NonHuman User
Joined: 09 Sep 2013
Posts: 8464

Re: In Washington School, 150 students study physics or biology
[#permalink]
Show Tags
16 Mar 2018, 06:55
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.
_________________
GMAT Books  GMAT Club Tests  Best Prices on GMAT Courses  GMAT Mobile App  Math Resources  Verbal Resources




Re: In Washington School, 150 students study physics or biology &nbs
[#permalink]
16 Mar 2018, 06:55






