Last visit was: 23 Apr 2024, 17:49 It is currently 23 Apr 2024, 17:49

Close

GRE Prep 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
Your Progress

every week, we’ll send you an estimated GRE 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.

Close

Request Expert Reply

Confirm Cancel
Verbal Expert
Joined: 18 Apr 2015
Posts: 28620
Own Kudos [?]: 33099 [3]
Given Kudos: 25173
Send PM
avatar
Director
Director
Joined: 03 Sep 2017
Posts: 518
Own Kudos [?]: 675 [0]
Given Kudos: 0
Send PM
User avatar
Intern
Intern
Joined: 25 Aug 2019
Status:Trying to get rich every single day.
Affiliations: Me.
Posts: 21
Own Kudos [?]: 61 [4]
Given Kudos: 0
Location: Netherlands
More precise location: Amsterdam
Send PM
Manager
Manager
Joined: 11 Jan 2022
Posts: 72
Own Kudos [?]: 10 [0]
Given Kudos: 437
Send PM
Re: All first-year students at Red State University must take c [#permalink]
Could you please share a solution for this?


Carcass wrote:

The last collection of questions for the GRE Quant - 2019



All first-year students at Red State University must take calculus, English composition, or both. If half of the 2,400 first-year students at Red State University take calculus and half do not, and one-third of those who take calculus also take English composition, how many students take English composition?

A) 400

B) 800

C) 1,200

D) 1,600

E) 2,000
Verbal Expert
Joined: 18 Apr 2015
Posts: 28620
Own Kudos [?]: 33099 [0]
Given Kudos: 25173
Send PM
Re: All first-year students at Red State University must take c [#permalink]
Expert Reply
Given:
    • Out of 2400 first year students, everyone must take either Calculus, or English Composition, or both
    • Half of all the students take Calculus, half do not
    • One-third of those who take Calculus also take English Composition

To find:
    • The number of students take English Composition

Approach and Working:
As one-third of those who take Calculus also take English Composition, we can say
    • Number of students take both Calculus and English Composition = \(\frac{1}{3} *(\frac{1}{2} * 2400) = 400\)
Also, those students who do not take Calculus, must take English Composition
    • Number of students who take English Composition only = \(\frac{1}{2} * 2400 = 1200\)
    • Therefore, the total number of students taking English Composition = 400 + 1200 = 1600

Hence, the correct answer is option D.

Answer: D
Prep Club for GRE Bot
[#permalink]
Moderators:
Moderator
1085 posts
GRE Instructor
218 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne