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

 It is currently 21 Oct 2019, 13:29

### 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

# 200 students in an MBA program voted for 2 electives A and B to be

Author Message
Director
Joined: 18 Feb 2019
Posts: 582
Location: India
GMAT 1: 460 Q42 V13
GPA: 3.6
200 students in an MBA program voted for 2 electives A and B to be  [#permalink]

### Show Tags

25 Mar 2019, 09:24
00:00

Difficulty:

65% (hard)

Question Stats:

53% (02:39) correct 47% (02:26) wrong based on 15 sessions

### HideShow timer Statistics

200 students in an MBA program voted for 2 electives A and B to be included in their curriculum. A student could vote for either one or both or none of the electives. If 30% of the students voted for elective A, how many students voted for both the electives?

I. The sum of the number of students who voted for none of the electives and those who voted for only elective A is 50% more than the number of students who voted for only elective B.

II. 60% of the students did not vote for elective B.
Manager
Joined: 11 Dec 2018
Posts: 61
Re: 200 students in an MBA program voted for 2 electives A and B to be  [#permalink]

### Show Tags

27 Mar 2019, 01:39
Someone please explain this in detail. I couldn't understand the 1st statement.

Posted from my mobile device
Manager
Joined: 29 Nov 2018
Posts: 147
Location: India
Concentration: Entrepreneurship, General Management
GPA: 3.99
WE: Engineering (Computer Hardware)
Re: 200 students in an MBA program voted for 2 electives A and B to be  [#permalink]

### Show Tags

28 Mar 2019, 20:50
Poorvi55 wrote:
Someone please explain this in detail. I couldn't understand the 1st statement.

Posted from my mobile device

The question states that:
(only A) + (only B) + (A and B) + (neither A nor B) = 200

Statement 1 says that :
(neither A nor B) + (only A) = 1.5 x (only B)

We are asked to find (A and B) even if we substitute above equation of statement 1 in question stem we dont get our answer - hence insufficient

Statement 2 says:
(neither A nor B) + (only A) = 60% of 200 = 120 students
but we need to find (A and B) - insufficient.

Statement 1 and statement 2 combine :
We will get value of (A and B) - sufficient.

Hope the explanation helps.
Please give kudos if you like the explanation.
Re: 200 students in an MBA program voted for 2 electives A and B to be   [#permalink] 28 Mar 2019, 20:50
Display posts from previous: Sort by