GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

It is currently 27 Jan 2020, 14:27

Close

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
Your Progress

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.

Close

Request Expert Reply

Confirm Cancel

If the Number of students learning exactly two subjects is maximum and

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 60687
If the Number of students learning exactly two subjects is maximum and  [#permalink]

Show Tags

New post 01 Nov 2019, 06:31
00:00
A
B
C
D
E

Difficulty:

  95% (hard)

Question Stats:

28% (02:39) correct 72% (02:14) wrong based on 88 sessions

HideShow timer Statistics

The Number of students learning three subjects are as follows

Maths = 40
English = 50
Science = 35

If the Number of students learning exactly two subjects is maximum and no student learns all the three subjects, then what is the minimum number of students learning exactly one subject?

A. 0
B. 1
C. 25
D. 35
E. 45


Are You Up For the Challenge: 700 Level Questions

_________________
VP
VP
User avatar
V
Joined: 19 Oct 2018
Posts: 1295
Location: India
Premium Member
Re: If the Number of students learning exactly two subjects is maximum and  [#permalink]

Show Tags

New post 01 Nov 2019, 13:11
Assume number of students learning exactly two subjects is 'x', and number of students learning exactly one subject is 'y'


we have to minimize, y=40+50+35-2*x=125-2x
minimum value of y is 1 {odd-even= odd}, when x=62



Bunuel wrote:
The Number of students learning three subjects are as follows

Maths = 40
English = 50
Science = 35

If the Number of students learning exactly two subjects is maximum and no student learns all the three subjects, then what is the minimum number of students learning exactly one subject?

A. 0
B. 1
C. 25
D. 35
E. 45


Are You Up For the Challenge: 700 Level Questions

Attachments

Untitled.png
Untitled.png [ 6.85 KiB | Viewed 962 times ]

GMAT Club Legend
GMAT Club Legend
User avatar
V
Joined: 18 Aug 2017
Posts: 5738
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Premium Member
Re: If the Number of students learning exactly two subjects is maximum and  [#permalink]

Show Tags

New post 02 Nov 2019, 03:34
total = M+E+S-2*all subjects
total = 40+50+35-2x
total = 125-2x
value will be minimized at value of x = 62 ; ie we then get = 125-124 ;1
IMO B

Bunuel wrote:
The Number of students learning three subjects are as follows

Maths = 40
English = 50
Science = 35

If the Number of students learning exactly two subjects is maximum and no student learns all the three subjects, then what is the minimum number of students learning exactly one subject?

A. 0
B. 1
C. 25
D. 35
E. 45


Are You Up For the Challenge: 700 Level Questions
Manager
Manager
User avatar
S
Joined: 30 Oct 2019
Posts: 97
Location: United Kingdom
Concentration: General Management, Technology
GPA: 4
Re: If the Number of students learning exactly two subjects is maximum and  [#permalink]

Show Tags

New post 31 Dec 2019, 11:49
nick1816 wrote:
Assume number of students learning exactly two subjects is 'x', and number of students learning exactly one subject is 'y'
we have to minimize, y=40+50+35-2*x=125-2x
minimum value of y is 1 {odd-even= odd}, when x=62


Sorry where did you get this? Is is another formula?

The formula I am aware of is Total = A+B+C-(sum of exactly 2 overlap) -2(sum of all 3 overlap)+Neither

or, Total = 40+50+35-(sum of exactly 2 overlap) -2(0)+0
or total = 125 - (sum of exactly 2 overlap)
VP
VP
User avatar
V
Joined: 19 Oct 2018
Posts: 1295
Location: India
Premium Member
Re: If the Number of students learning exactly two subjects is maximum and  [#permalink]

Show Tags

New post 31 Dec 2019, 17:10
1
N(maths)= a+b+d+e

N(English)= b+c+e+f

N(Science)= d+e+f+g

N(maths)+N(English)+N(Science)
= a+b+d+e+b+c+e+f+d+e+f+g
= a+c+g+2(b+d+f)+3e

Now we need to figure out students learning exactly one subject, that is a+c+g.

a+c+g= N(maths)+N(English)+N(Science)-2(b+d+f)-3e


It's always better to draw venn diagram and look for what you need to figure out. (Don't just cram the formulas)


AnirudhaS wrote:
nick1816 wrote:
Assume number of students learning exactly two subjects is 'x', and number of students learning exactly one subject is 'y'
we have to minimize, y=40+50+35-2*x=125-2x
minimum value of y is 1 {odd-even= odd}, when x=62


Sorry where did you get this? Is is another formula?

The formula I am aware of is Total = A+B+C-(sum of exactly 2 overlap) -2(sum of all 3 overlap)+Neither

or, Total = 40+50+35-(sum of exactly 2 overlap) -2(0)+0
or total = 125 - (sum of exactly 2 overlap)

Attachments

Untitled.png
Untitled.png [ 7.3 KiB | Viewed 315 times ]

GMAT Club Bot
Re: If the Number of students learning exactly two subjects is maximum and   [#permalink] 31 Dec 2019, 17:10
Display posts from previous: Sort by

If the Number of students learning exactly two subjects is maximum and

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





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