Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized for You
we will pick new questions that match your level based on your Timer History
Track Your Progress
every week, we’ll send you an estimated GMAT score based on your performance
Practice Pays
we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
It appears that you are browsing the GMAT Club forum unregistered!
Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club
Registration gives you:
Tests
Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.
Applicant Stats
View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more
Books/Downloads
Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!
Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:
Re: freshmen or a senior [#permalink]
02 Oct 2009, 23:54
Statement 1:Insufficient (easy to find out) Statement 2:F>7 Insufficient again.
1&2 together The only one situation that will comply with the two statments is: F=8 and S=34. Answer is C. Because if F=9 and S>4F...this will make the number of students larger than 42.
There are 42 students in a group. If each student is either a freshmen or a senior, how many of the students are seniors?
Given: S+F=42. Question: S=?
(1) The group has more than four times as many seniors as it has freshmen --> \(S>4F\) --> \(S>4*(42-S)\) --> \(S>33.6\). The number of seniors can be 34, 35, ... Not sufficient.
(2) The group has more than 7 freshmen --> \(F>7\) --> \(42-S>7\) --> \(S<35\). Not sufficient.
(1)+(2) \(S>33.6\) and \(S<35\) --> \(S=34\). Sufficient.
Re: freshmen or a senior [#permalink]
23 Apr 2011, 06:52
Statement 1 - Insufficient... Many answers are possible Statement 2 - Nothing can be derived from this
Both together - 35 & 7 is an option but from statement 2, more than 7 34 and 8 is possible (more than 4:1 and also 8) 33 and 9 is not possible as statement 1 is not satisfied
So only one answer when two statements considered together
Re: There are 42 students in a group. If each student is either [#permalink]
23 Nov 2013, 08:45
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. _________________
Re: There are 42 students in a group. If each student is either [#permalink]
04 Dec 2013, 00:15
1
This post received KUDOS
TooLong150 wrote:
The translation of (1) killed me in this problem. I thought it meant 4s > f. Can someone help me translate it to s > 4f?
The statement clearly states that "more than four times as many seniors as it has freshmen." Lets forget more than part here and focus on four times as many seniors as it has freshmen. This means S=4F now more than part . incorporate > in place of =. So S > 4F
Re: There are 42 students in a group. If each student is either [#permalink]
04 Dec 2013, 00:22
2
This post received KUDOS
C.
Statement 1: s>4F
>4F+F = 42 F & S should be an integers. So I found factors of 42 fitting to solve the equation . Factors of 42 = 1,2,3,6,7,14,21,42. So 5F + F = 42 => F=7 & S = 35 6F+F= 42 => F = 6 & S=36. and so on for other values. => Not sufficient.
Statement 2: F>7. Many values satisfy this condition such as F = 8 & S = 34; F=9 & S = 33 & so on =>Insufficient
Re: There are 42 students in a group. If each student is either [#permalink]
21 Apr 2014, 07:23
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. _________________
Re: There are 42 students in a group. If each student is either [#permalink]
24 Jan 2016, 07:53
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. _________________
Re: There are 42 students in a group. If each student is either [#permalink]
26 Jan 2016, 21:42
Expert's post
Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.
There are 42 students in a group. If each student is either a freshmen or a senior, how many of the students are seniors?
(1) The group has more than four times as many seniors as it has freshmen.
(2) The group has more than 7 freshmen.
In the original condition, there are 2 variables(f,s) and 1 equation(f+s=42), which should match with the number of equations. So you need 1 equation. For 1) 1 equation, for 2) 1 equation, which is likely to make D the answer. For 1), in s>4f, value of s is not unique and not sufficient. For 2), in f>7, value of s is also not unique and not sufficient. When 1) & 2), they become s>4f and f>7 → s+f>4f+7, 42>4f+7, 35>4f → 35/4=8.75>f. Since f>7, in 8.75>f>7, f=8, s=34, which is unique and sufficient. Therefore, the answer is C.
--> For cases where we need 1 more equation, such as original conditions with “1 variable”, or “2 variables and 1 equation”, or “3 variables and 2 equations”, we have 1 equation each in both 1) and 2). Therefore, there is 59 % chance that D is the answer, while A or B has 38% chance and C or E has 3% chance. Since D is most likely to be the answer using 1) and 2) separately according to DS definition. Obviously there may be cases where the answer is A, B, C or E. _________________
As I’m halfway through my second year now, graduation is now rapidly approaching. I’ve neglected this blog in the last year, mainly because I felt I didn’...
Wow! MBA life is hectic indeed. Time flies by. It is hard to keep track of the time. Last week was high intense training Yeah, Finance, Accounting, Marketing, Economics...