GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 20 Oct 2019, 17:25

### 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

# A certain collage has total of 400 seniors each majoring in exactly on

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58434
A certain collage has total of 400 seniors each majoring in exactly on  [#permalink]

### Show Tags

21 Jun 2019, 00:03
00:00

Difficulty:

15% (low)

Question Stats:

88% (01:36) correct 13% (02:02) wrong based on 24 sessions

### HideShow timer Statistics

A certain collage has total of 400 seniors each majoring in exactly one of six subjects. A minimum of 20 seniors major in each six subjects. If three quarter of the seniors major in one of four subjects, what is the greatest possible number of seniors majoring in one of the other two subjects?

A. 100
B. 80
C. 75
D. 60
E. 50

_________________
Director
Joined: 22 Nov 2018
Posts: 559
Location: India
GMAT 1: 640 Q45 V35
GMAT 2: 660 Q48 V33
Re: A certain collage has total of 400 seniors each majoring in exactly on  [#permalink]

### Show Tags

21 Jun 2019, 00:14
1
Bunuel wrote:
A certain collage has total of 400 seniors each majoring in exactly one of six subjects. A minimum of 20 seniors major in each six subjects. If three quarter of the seniors major in one of four subjects, what is the greatest possible number of seniors majoring in one of the other two subjects?

A. 100
B. 80
C. 75
D. 60
E. 50

Total 400; 3/4 majoring in one of 4 subjects = 300;

So 2 subjects put together is 100,

Minimum 20 in each so one can have a Max of 80 seniors Option (B)
_________________
Give +1 kudos if this answer helps..!!
Director
Joined: 20 Jul 2017
Posts: 928
Location: India
Concentration: Entrepreneurship, Marketing
WE: Education (Education)
Re: A certain collage has total of 400 seniors each majoring in exactly on  [#permalink]

### Show Tags

21 Jun 2019, 05:19
Bunuel wrote:
A certain collage has total of 400 seniors each majoring in exactly one of six subjects. A minimum of 20 seniors major in each six subjects. If three quarter of the seniors major in one of four subjects, what is the greatest possible number of seniors majoring in one of the other two subjects?

A. 100
B. 80
C. 75
D. 60
E. 50

Total Seniors = 400
three quarter of the seniors major in one of four subjects
--> 3/4*400 = 300 seniors are in one of the 4 subjects

Let the remaining subjects be x and y {x - Max, y -Min}
--> x + y = 100
A minimum of 20 seniors major in each six subjects
--> y = 20
--> x = 80

IMO Option B

Pls Hit Kudos if you like the solution
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 5022
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: A certain collage has total of 400 seniors each majoring in exactly on  [#permalink]

### Show Tags

21 Jun 2019, 10:26
1
Bunuel wrote:
A certain collage has total of 400 seniors each majoring in exactly one of six subjects. A minimum of 20 seniors major in each six subjects. If three quarter of the seniors major in one of four subjects, what is the greatest possible number of seniors majoring in one of the other two subjects?

A. 100
B. 80
C. 75
D. 60
E. 50

total 400
for 4 subjects ; 3/4 * 400 ; 300
left with 100 for 2 subjects so max 100-20 ; 80
IMO B
Re: A certain collage has total of 400 seniors each majoring in exactly on   [#permalink] 21 Jun 2019, 10:26
Display posts from previous: Sort by