Last visit was: 22 Dec 2024, 00:08 It is currently 22 Dec 2024, 00:08

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: 30448
Own Kudos [?]: 36808 [2]
Given Kudos: 26096
Send PM
avatar
Retired Moderator
Joined: 20 Apr 2016
Posts: 1307
Own Kudos [?]: 2280 [0]
Given Kudos: 251
WE:Engineering (Energy and Utilities)
Send PM
avatar
Manager
Manager
Joined: 27 Nov 2019
Posts: 78
Own Kudos [?]: 200 [3]
Given Kudos: 0
Send PM
avatar
Manager
Manager
Joined: 27 Nov 2019
Posts: 78
Own Kudos [?]: 200 [3]
Given Kudos: 0
Send PM
Re: Of the total number of students enrolled [#permalink]
3
Carcass wrote:
Of the total number of students enrolled at University U in the fall of 2008, \(\frac{3}{8}\) were sophomores and \(\frac{1}{50}\) were biology majors. Which of the following could be the total number of students enrolled at University U in the fall of 2008?

Indicate all such numbers.

A. 7,000

B. 7,040

C. 7,050

D. 7,100

E. 7,125

F. 7,200


Kudos for the right answer and explanation


The question clearly states that

1. Sophomores are 3/8th of total so total should be multiple of 8

2. Biology majors are 1/50th of total so total should be a multiple of 50

Therefore total should be a common multiple of 8 and 50 i.e. multiple of 200 (LCM of 8 and 50)

Therefore option A (7000) and option F (7200) are correct
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12234 [1]
Given Kudos: 136
Send PM
Re: Of the total number of students enrolled [#permalink]
1
Carcass wrote:
Of the total number of students enrolled at University U in the fall of 2008, \(\frac{3}{8}\) were sophomores and \(\frac{1}{50}\) were biology majors. Which of the following could be the total number of students enrolled at University U in the fall of 2008?

Indicate all such numbers.

A. 7,000

B. 7,040

C. 7,050

D. 7,100

E. 7,125

F. 7,200


Kudos for the right answer and explanation


The key property here is that, since this is a real world question involving students, the number of students must always be an INTEGER.

For example, were told that 3/8 of the students were sophomores.
If we let N = the total number of students, then the number of sophomores = (3/8)(N) = 3N/8
In order for 3N/8 to be an INTEGER, it must be the case that N is divisible by 8

Likewise, since 1/50 of the students were biology majors, the number of biology majors = (1/50)(N) = N/50.
In order for N/50 to be an INTEGER, it must be the case that N is divisible by 50

In order for N to be divisible by 8 AND by 50, then N must be divisible by 200 (which is the least common multiple of 8 and 50)

So, we're looking for values of N that are divisible by 200.

Answer: A and F
Prep Club for GRE Bot
Re: Of the total number of students enrolled [#permalink]
Moderators:
GRE Instructor
88 posts
GRE Forum Moderator
37 posts
Moderator
1115 posts
GRE Instructor
234 posts

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