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

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Director
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V
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]

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New post 25 Mar 2019, 09:24
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

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

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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.
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Re: 200 students in an MBA program voted for 2 electives A and B to be  [#permalink]

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

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Concentration: Entrepreneurship, General Management
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WE: Engineering (Computer Hardware)
Re: 200 students in an MBA program voted for 2 electives A and B to be  [#permalink]

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New post 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.
GMAT Club Bot
Re: 200 students in an MBA program voted for 2 electives A and B to be   [#permalink] 28 Mar 2019, 20:50
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200 students in an MBA program voted for 2 electives A and B to be

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