Last visit was: 12 Aug 2024, 23:46 It is currently 12 Aug 2024, 23:46
Toolkit
GMAT Club Daily Prep
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

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.

# If a total of 84 students are enrolled in two sections of a calculus

SORT BY:
Tags:
Show Tags
Hide Tags
Math Expert
Joined: 02 Sep 2009
Posts: 94906
Own Kudos [?]: 649128 [10]
Given Kudos: 86922
Manager
Joined: 20 Feb 2013
Posts: 66
Own Kudos [?]: 98 [1]
Given Kudos: 45
Location: India
GMAT 1: 690 Q49 V34
WE:Information Technology (Computer Software)
Manager
Joined: 27 Jan 2013
Posts: 169
Own Kudos [?]: 63 [1]
Given Kudos: 8
Location: United States
Concentration: Entrepreneurship, Marketing
GMAT 1: 730 Q49 V40
GPA: 3.5
WE:Supply Chain Management (Telecommunications)
Manager
Joined: 31 Jul 2014
Posts: 107
Own Kudos [?]: 126 [3]
Given Kudos: 373
GMAT 1: 630 Q48 V29
Re: If a total of 84 students are enrolled in two sections of a calculus [#permalink]
3
Kudos
Bunuel wrote:

Tough and Tricky questions: Word Problems.

If a total of 84 students are enrolled in two sections of a calculus course, how many of the 84 students are female?

(1) 2/3 of the students in Section 1 are female.
(2) 1/2 of the students in Section 2 are male.

Kudos for a correct solution.

Let there be x students in section-1 and y students in section-2
so, x+y=84

stmnt-1
2/3 of x = Female
we dont know how many female are from section-2
Insuff

stmnt-2
1/2 of y = male
1/2 of y= female
Insuff

from 1+2
2x/3+y/2 are total no.f female
still insuff
hence E
Intern
Joined: 29 Oct 2013
Posts: 13
Own Kudos [?]: 14 [0]
Given Kudos: 37
Re: If a total of 84 students are enrolled in two sections of a calculus [#permalink]
Bunuel wrote:

Tough and Tricky questions: Word Problems.

If a total of 84 students are enrolled in two sections of a calculus course, how many of the 84 students are female?

(1) 2/3 of the students in Section 1 are female.
(2) 1/2 of the students in Section 2 are male.

Kudos for a correct solution.

Let X be the number of students in Section-1 and Y be the number of students in Section-2. Then X+Y = 84. Need to find no of girls in two sections.

St-1 is not sufficient as we do not have any details of section - 2
St-2 is not sufficient as we do not have any details of section - 1

1 + 2 --> 2X/3 + Y/2 = ? Not sufficient. So Ans - E
Manager
Joined: 21 Aug 2010
Posts: 130
Own Kudos [?]: 327 [0]
Given Kudos: 141
Location: United States
GMAT 1: 700 Q49 V35
Re: If a total of 84 students are enrolled in two sections of a calculus [#permalink]
Bunuel wrote:

Tough and Tricky questions: Word Problems.

If a total of 84 students are enrolled in two sections of a calculus course, how many of the 84 students are female?

(1) 2/3 of the students in Section 1 are female.
(2) 1/2 of the students in Section 2 are male.

Kudos for a correct solution.

From Statement 1: we know that 2/3 of the student are female, but we dont know the total of section 1 (Total could be 3 or 81)- Not sufficient
Statement 2: 1/ are female, again We don't know the total - Not sufficient

Ans E
Intern
Joined: 17 Dec 2013
Posts: 48
Own Kudos [?]: 38 [1]
Given Kudos: 35
GMAT Date: 01-08-2015
Re: If a total of 84 students are enrolled in two sections of a calculus [#permalink]
1
Kudos
FEMALE + MALE = 84
CLASS A + CLASS B = 84 (?)

so (1) is not sufficient
and (2) is not sufficient
-> no details about the other course

CLASS A = 2/3a + 1/3a
CLASS B = 1/2b + 1/2b = 84 - CLASS A

we dont know about a or b..

together not sufficient -> E
Intern
Joined: 30 Aug 2015
Posts: 28
Own Kudos [?]: 63 [0]
Given Kudos: 368
Concentration: Marketing, Finance
WE:Brand Management (Manufacturing)
Re: If a total of 84 students are enrolled in two sections of a calculus [#permalink]
Let there be x students in section-1 and y students in section-2
so, x+y=84

stmnt-1
2/3 of x = Female
we dont know how many female are from section-2
Insuff

stmnt-2
1/2 of y = male
1/2 of y= female
Insuff

from 1+2
2x/3+y/2 are total no.f female
Senior Manager
Joined: 24 Nov 2015
Posts: 405
Own Kudos [?]: 127 [0]
Given Kudos: 231
Location: United States (LA)
Re: If a total of 84 students are enrolled in two sections of a calculus [#permalink]
we need to find how many female students are there
statement 1 gives ratio of female to male students in section 1 is 2:1 clearly insufficient
Statement 2 gives ratio of male to female students in section 2 is 1 :1 clearly insufficient
combining both we don't get the ratio or division of students between 2 sections so again insufficient
Intern
Joined: 18 Dec 2019
Posts: 27
Own Kudos [?]: 8 [0]
Given Kudos: 16
Re: If a total of 84 students are enrolled in two sections of a calculus [#permalink]
let x = section 1, therfore no. of students in section 2 = 84-x
Combining (1) and (2)
2x/3 + 1/2(84-x0 = no. of female
, so no. of female students = x/2 + 42

Still depends on the split per section. So we cannot tell from this information what is the no. of female students.

IMO E
Senior Manager
Joined: 16 Nov 2021
Posts: 472
Own Kudos [?]: 28 [0]
Given Kudos: 5901
Location: United Kingdom
Re: If a total of 84 students are enrolled in two sections of a calculus [#permalink]
syamen wrote:
Bunuel wrote:

Tough and Tricky questions: Word Problems.

If a total of 84 students are enrolled in two sections of a calculus course, how many of the 84 students are female?

(1) 2/3 of the students in Section 1 are female.
(2) 1/2 of the students in Section 2 are male.

Kudos for a correct solution.

Let X be the number of students in Section-1 and Y be the number of students in Section-2. Then X+Y = 84. Need to find no of girls in two sections.

St-1 is not sufficient as we do not have any details of section - 2
St-2 is not sufficient as we do not have any details of section - 1

1 + 2 --> 2X/3 + Y/2 = ? Not sufficient. So Ans - E

Great explanation syamen. One question for each statement, when 2/3 of the students in Section 1 are female, does it not mean/imply 1/3 of the students in Section 1 are male? Same with statement 2. Therefore combined statements make it C ? could you kindly clarify? thanks.
Non-Human User
Joined: 09 Sep 2013
Posts: 34395
Own Kudos [?]: 862 [0]
Given Kudos: 0
Re: If a total of 84 students are enrolled in two sections of a calculus [#permalink]
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: If a total of 84 students are enrolled in two sections of a calculus [#permalink]
Moderator:
Math Expert
94906 posts