Last visit was: 15 Sep 2024, 19:22 It is currently 15 Sep 2024, 19:22
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.

# Each of the 50 students participating in a workshop is either an under

SORT BY:
Tags:
Show Tags
Hide Tags
Intern
Joined: 19 Dec 2015
Posts: 23
Own Kudos [?]: 851 [124]
Given Kudos: 11
Current Student
Joined: 13 Apr 2015
Posts: 1422
Own Kudos [?]: 4651 [55]
Given Kudos: 1228
Location: India
General Discussion
Manager
Joined: 18 Feb 2015
Posts: 70
Own Kudos [?]: 589 [2]
Given Kudos: 15
Manager
Joined: 15 Mar 2015
Posts: 89
Own Kudos [?]: 64 [0]
Given Kudos: 7
Each of the 50 students participating in a workshop is either an under [#permalink]
HarveyKlaus
Hi all,

I tried to answer this question in the matrix form as attached. The answer I got is correct however, Im not sure if thats the right approach as the information from both statements isn't matching. I interpreted "Each of the 50 students is either an undergraduate or a graduate student" as by putting 0 in the relevant columns as shown. Where am I wrong?

Youve written that 0 males are undergrads and 0 females are graduates.

You should have put the total in the margin.

Posted from my mobile device

The 'is either a or b' means theres no overlapping.
Manager
Joined: 26 Jan 2015
Posts: 94
Own Kudos [?]: 267 [0]
Given Kudos: 203
Location: Oman
GMAT 1: 710 Q49 V37
Re: Each of the 50 students participating in a workshop is either an under [#permalink]
Vyshak
Number of students = 50

St1: Female = 24 --> Even if all female are graduates, female graduate students < 25 --> Suffiicient

St2: Graduate students = 18 --> Even if all graduate students are female, female graduate students < 25 --> Sufficient

Beautiful explanation Vyshak!
Intern
Joined: 23 Aug 2017
Posts: 2
Own Kudos [?]: 1 [0]
Given Kudos: 2
Each of the 50 students participating in a workshop is either an under [#permalink]
How do we know it's not all the undergraduates that are female making F=32 hence p(f)=1/2? Why are we assuming from the info given on (2) that F=18 or less?
Manager
Joined: 23 Jun 2016
Posts: 61
Own Kudos [?]: 32 [4]
Given Kudos: 44
Re: Each of the 50 students participating in a workshop is either an under [#permalink]
4
Kudos
If P is the probability that a randomly selected participant will be a female graduate student, is P less than 1212?

I misread the statement as asking for P within "graduate student" subset only. That is, the probability < 1/2 of picking a female within graduate student. Did not realize that probability asked is for the entire set of 50 students...

Did anyone else ran into this silly error? Or could the problem be worded more carefully??
Intern
Joined: 18 Dec 2018
Posts: 34
Own Kudos [?]: 10 [1]
Given Kudos: 0
Re: Each of the 50 students participating in a workshop is either an under [#permalink]
1
Bookmarks
Statement 1: Out of 50 students, only 24 are female.
This implies, that the probability that random student selected is a female is 0.48 i.e. less than 0.5
So, the probability that any selected candidate is a female graduate is surely less than 0.5. Hence, Sufficient.
Statement 2: Out of 50 students, only 18 are graduate.
This implies that probability of total graduate is 0.36 i.e. less than 0.5
So, the probability that any selected candidate is a female graduate is surely less than 0.5. Hence, Sufficient.
Intern
Joined: 12 Jan 2019
Posts: 35
Own Kudos [?]: 17 [1]
Given Kudos: 0
Re: Each of the 50 students participating in a workshop is either an under [#permalink]
1
Bookmarks
Statement 1: Out of 50 students, only 24 are female.
This implies, that the probability that random student selected is a female is 0.48 i.e. less than 0.5
So, the probability that any selected candidate is a female graduate is surely less than 0.5. Hence, Sufficient.
Statement 2: Out of 50 students, only 18 are graduate.
This implies that probability of total graduate is 0.36 i.e. less than 0.5
So, the probability that any selected candidate is a female graduate is surely less than 0.5. Hence, Sufficient.
Manager
Joined: 10 Aug 2018
Posts: 227
Own Kudos [?]: 143 [2]
Given Kudos: 179
Location: India
Concentration: Strategy, Operations
WE:Operations (Energy and Utilities)
Re: Each of the 50 students participating in a workshop is either an under [#permalink]
2
Kudos
Yes it's D
Because by both statements we will get that number of females will be less than 25.
Nice question and a classic GMAT trap.
It's an official Gmat prep question. Exam pack 6.
VP
Joined: 11 Aug 2020
Posts: 1236
Own Kudos [?]: 215 [2]
Given Kudos: 332
Re: Each of the 50 students participating in a workshop is either an under [#permalink]
1
Kudos
1
Bookmarks
P = female grads / females + males < 1/2?

St1 - 24 females
Suppose
P = 24 / 50 < 1/2 YES
P = 12 / 50 < 1/2 YES

Sufficient.

This means that irrespective of the number of female grad students, the total # of female grad students will always be less than 50%.
Sufficient.

D.
Director
Joined: 29 Apr 2019
Status:Learning
Posts: 725
Own Kudos [?]: 597 [1]
Given Kudos: 49
Re: Each of the 50 students participating in a workshop is either an under [#permalink]
1
Bookmarks
Correct option D

We have : Students - 50 Nos
to prove : Female Graduate less than 50%

1) Of the participants, 24 are female - (24/50) - 48%, if all female are graduate - condition fullfiled - Sufficient
2) Of the participants, 18 are graduate students - (18/50) - 36% -, if all graduate are female, condition fullfilled - Sufficient

Elimanates - A, B , C, and E
Winner - D
Intern
Joined: 01 Jul 2020
Posts: 5
Own Kudos [?]: 0 [0]
Given Kudos: 366
GMAT 1: 640 Q46 V32
Re: Each of the 50 students participating in a workshop is either an under [#permalink]
Just a small trick:- Max number of female graduate students = number of female (if all female are graduates) or number of graduates (if all graduates are female)

S1- Max number of female graduate students = number of female (if all female are graduates)
24/50 < 1/2
so a number smaller than 24 will definitely be less than 1/2.
Sufficient

18/50 < 1/2
so a number smaller than 18 will definitely be less than 1/2.
Sufficient

E
GRE Forum Moderator
Joined: 02 Nov 2016
Posts: 14022
Own Kudos [?]: 38907 [0]
Given Kudos: 5866
GPA: 3.62
Re: Each of the 50 students participating in a workshop is either an under [#permalink]