January 17, 2019 January 17, 2019 08:00 AM PST 09:00 AM PST Learn the winning strategy for a high GRE score — what do people who reach a high score do differently? We're going to share insights, tips and strategies from data we've collected from over 50,000 students who used examPAL. January 19, 2019 January 19, 2019 07:00 AM PST 09:00 AM PST Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.
Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 52231

A school has 60 students. Each student studies either Cantonese or Fre
[#permalink]
Show Tags
16 Jul 2015, 00:19
Question Stats:
83% (00:45) correct 17% (01:17) wrong based on 149 sessions
HideShow timer Statistics



CEO
Joined: 20 Mar 2014
Posts: 2639
Concentration: Finance, Strategy
GPA: 3.7
WE: Engineering (Aerospace and Defense)

A school has 60 students. Each student studies either Cantonese or Fre
[#permalink]
Show Tags
16 Jul 2015, 02:25
Bunuel wrote: A school has 60 students. Each student studies either Cantonese or French, but not both. How many students study French?
(1) The number of students who study French is 4 times the number of the students who study Cantonese. (2) The number of students who study Cantonese is 36 fewer than the number who study French.
Kudos for a correct solution. NF + NC = 0 (as each student learns either cantonese or french) Text in black: given values Text in red: calculated values From statement 1, we can see x/4 +x= 60 . Thus this statement is sufficient From statement 2, we see that 2x36=60. Thus this statement is sufficient as well. Thus both statements are sufficient and hence D is the correct answer.
Attachments
image.jpg [ 44.1 KiB  Viewed 2110 times ]



Manager
Joined: 26 Dec 2011
Posts: 114

Re: A school has 60 students. Each student studies either Cantonese or Fre
[#permalink]
Show Tags
16 Jul 2015, 04:45
Bunuel wrote: A school has 60 students. Each student studies either Cantonese or French, but not both. How many students study French?
(1) The number of students who study French is 4 times the number of the students who study Cantonese. (2) The number of students who study Cantonese is 36 fewer than the number who study French.
Kudos for a correct solution. Solution  From the given information, C + F = 60. Stmt1  The number of students who study French is 4 times the number of the students who study Cantonese. > F = 4C. Substitute F = 4C in C + F = 60 > C + (4C) = 60 > 5C = 60 > C = 12 and F = 48. Sufficient. Stmt2  The number of students who study Cantonese is 36 fewer than the number who study French. > C = F – 36. Again, substitute C in the original equation C + F = 60 > (F – 36) + F = 60 > 2F – 36 = 60 > F = 48. Sufficient. ANS D.
_________________
Thanks, Kudos Please



CEO
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2723
Location: India
GMAT: INSIGHT
WE: Education (Education)

Re: A school has 60 students. Each student studies either Cantonese or Fre
[#permalink]
Show Tags
16 Jul 2015, 09:37
Bunuel wrote: A school has 60 students. Each student studies either Cantonese or French, but not both. How many students study French?
(1) The number of students who study French is 4 times the number of the students who study Cantonese. (2) The number of students who study Cantonese is 36 fewer than the number who study French.
Kudos for a correct solution. This question doesn't need to be solved by double matrix or Venn diagram because two of the catagories are already known as zero Students who don't study either of the Cantonese and French = 0 Students who study Both Cantonese and French = 0 i.e. only categories are Students studying Cantonese (C) Students studying French (F) and F + C = 60 Question : Students studying French = ?Statement 1: The number of students who study French is 4 times the number of the students who study Cantonesei.e. F = 4*C and F+C = 60 i.e. C = 12 and F = 48 SUFICIENTStatement 2: The number of students who study Cantonese is 36 fewer than the number who study French.C = F36 and F+C = 60 i.e. C = 12 and F = 48 SUFICIENTAnswer: Option D
_________________
Prosper!!! GMATinsight Bhoopendra Singh and Dr.Sushma Jha email: info@GMATinsight.com I Call us : +919999687183 / 9891333772 Online OneonOne Skype based classes and Classroom Coaching in South and West Delhi http://www.GMATinsight.com/testimonials.html
ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION



SVP
Joined: 06 Nov 2014
Posts: 1877

Re: A school has 60 students. Each student studies either Cantonese or Fre
[#permalink]
Show Tags
17 Jul 2015, 06:21
A school has 60 students. Each student studies either Cantonese or French, but not both. How many students study French?
c = Cantonese f= French => c + f =60
(1) The number of students who study French is 4 times the number of the students who study Cantonese. f=4c => c=4/f This can be plugged into the value for c in c+f=60 to solve for f. Sufficient.
(2) The number of students who study Cantonese is 36 fewer than the number who study French. c=f  36 This can be plugged into the value for c in c + f = 60 to solve for f. Sufficient.
D



Intern
Joined: 04 Nov 2013
Posts: 35
Concentration: Finance, Strategy
GPA: 4

Re: A school has 60 students. Each student studies either Cantonese or Fre
[#permalink]
Show Tags
17 Jul 2015, 08:13
Bunuel wrote: A school has 60 students. Each student studies either Cantonese or French, but not both. How many students study French?
(1) The number of students who study French is 4 times the number of the students who study Cantonese. (2) The number of students who study Cantonese is 36 fewer than the number who study French.
Kudos for a correct solution. Because each student must take a language, and no student can take both, this makes the question easier. 1. 4x + x = 60 5x=60 x=12 There are 48 French students. Sufficient. 2. (x36) + x = 60 2x=96 x=48 Again, there are 48 French students. Sufficient. D
_________________
Please kudos if you found this post helpful. I am trying to unlock the tests



Manager
Joined: 20 Jul 2011
Posts: 80

Re: A school has 60 students. Each student studies either Cantonese or Fre
[#permalink]
Show Tags
17 Jul 2015, 14:54
Bunuel wrote: A school has 60 students. Each student studies either Cantonese or French, but not both. How many students study French?
(1) The number of students who study French is 4 times the number of the students who study Cantonese. (2) The number of students who study Cantonese is 36 fewer than the number who study French.
Kudos for a correct solution. Given : F + C = 60 Eq 1 St 1: F = 4C => Can be solved with eq 1. Sufficient St 2: C = F36 => Can be solved with eq 1. Sufficient. Hence Option D



Director
Joined: 21 May 2013
Posts: 660

Re: A school has 60 students. Each student studies either Cantonese or Fre
[#permalink]
Show Tags
18 Jul 2015, 06:03
Bunuel wrote: A school has 60 students. Each student studies either Cantonese or French, but not both. How many students study French?
(1) The number of students who study French is 4 times the number of the students who study Cantonese. (2) The number of students who study Cantonese is 36 fewer than the number who study French.
Kudos for a correct solution. Statement 1:The number of students who study French is 4 times the number of the students who study Cantonese. C+4C=60. Find the value of C and F. Sufficient. Statement 2:The number of students who study Cantonese is 36 fewer than the number who study French F+F36=60. Sufficient Answer D



Queens MBA Thread Master
Joined: 24 Oct 2012
Posts: 170
Concentration: Leadership, General Management

Re: A school has 60 students. Each student studies either Cantonese or Fre
[#permalink]
Show Tags
19 Jul 2015, 04:23
A school has 60 students. Each student studies either Cantonese or French, but not both. How many students study French?
(1) The number of students who study French is 4 times the number of the students who study Cantonese. (2) The number of students who study Cantonese is 36 fewer than the number who study French.
Given : Each student studies either Cantonese or French, but not both C + F = 60  Equation 1
Statement 1: F = 4c  Sufficient to solve equation 1
Statement 2: C = F  36  So F36 + F = 60  Sufficient to solve equation 1
Hence Option D



Senior Manager
Joined: 28 Jun 2015
Posts: 292
Concentration: Finance
GPA: 3.5

Re: A school has 60 students. Each student studies either Cantonese or Fre
[#permalink]
Show Tags
19 Jul 2015, 07:01
(1): f = 4c. f+c = 60. so, 4c+c = 60, therefore c = 12, f = 48. Sufficient. (2): f  c = 36. f+c = 60. Solving we get f = 48, c = 12. Sufficient. Ans (D).
_________________
I used to think the brain was the most important organ. Then I thought, look what’s telling me that.



Math Expert
Joined: 02 Sep 2009
Posts: 52231

Re: A school has 60 students. Each student studies either Cantonese or Fre
[#permalink]
Show Tags
19 Jul 2015, 13:01
Bunuel wrote: A school has 60 students. Each student studies either Cantonese or French, but not both. How many students study French?
(1) The number of students who study French is 4 times the number of the students who study Cantonese. (2) The number of students who study Cantonese is 36 fewer than the number who study French.
Kudos for a correct solution. 800score Official Solution:Use C to represent the number of students studying Cantonese and F to represent the number of students studying French. The given information tells us that the number of students adds up to 60, or C + F = 60. Statement (1) gives us another equation: F = 4C. Now we can substitute F with 4C in the original equation: C + F = 60 C + (4C) = 60 5C = 60 C = 60/5 = 12. Since we are told that 4C = F, we know that: F = 12 × 4 = 48. Therefore, Statement (1) is sufficient. Statement (2) tells us that F – 36 = C. Again, we can substitute this into the original equation: C + F = 60. (F – 36) + F = 60 2F – 36 = 60 2F = 96 F = 48. Since, either statement alone is sufficient to solve for F, the correct answer is choice (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



NonHuman User
Joined: 09 Sep 2013
Posts: 9419

Re: A school has 60 students. Each student studies either Cantonese or Fre
[#permalink]
Show Tags
22 Dec 2018, 15:35
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: A school has 60 students. Each student studies either Cantonese or Fre &nbs
[#permalink]
22 Dec 2018, 15:35






