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There were 2 classes A& B, with a total of 45 students in them. Studen

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Director
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Joined: 18 Feb 2019
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Location: India
GMAT 1: 460 Q42 V13
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There were 2 classes A& B, with a total of 45 students in them. Studen  [#permalink]

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New post 28 Feb 2019, 23:42
3
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A
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D
E

Difficulty:

  65% (hard)

Question Stats:

56% (02:57) correct 44% (03:12) wrong based on 54 sessions

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There were 2 classes A& B, with a total of 45 students in them. Students of both the classes were asked to go on a school trip but only 1/5th of the students from class A and 2/3rd of the students from class B agreed to go. What is the minimum possible number of students who did not agree to go on the trip?

A. 8
B. 16
C. 17
D. 22
E. 23
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Joined: 12 Apr 2011
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Re: There were 2 classes A& B, with a total of 45 students in them. Studen  [#permalink]

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New post 01 Mar 2019, 03:29
1
kiran120680 wrote:
There were 2 classes A& B, with a total of 45 students in them. Students of both the classes were asked to go on a school trip but only 1/5th of the students from class A and 2/3rd of the students from class B agreed to go. What is the minimum possible number of students who did not agree to go on the trip?

A. 8
B. 16
C. 17
D. 22
E. 23


Total number of students in the two classes: A + B = 45

Since we have been told 1/5th of A agreed to go and 2/3rd of B agreed to go, it would be best to minimize the number of students in class A as it has a lower number of kids who want to go on the trip.

Also, it would be safe to assume the number of kids in A would be in multiples of 5 since 1/5th agreed to go on the trip. Similarly, the number of kids in B would in multiples of 3 as 2/3rd agreed to go on a trip.

Now based on this information we can make pairs for the possible number of kids in both the classes.
(5,40) - Not possible as 40 is not a multiple of 3
(10,35) - Not possible as 35 is not a multiple of 3
(15,30) - Possible as multiples are in order. Also, 15 is the lowest possible value of class A.

Now 1/5th of 15 = 3 => 12 kids did not go
2/3 of 30 = 20 => 10 kids did not go

Total kids that did not go = 12 + 10 = 22

Hence D is the correct answer.
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Re: There were 2 classes A& B, with a total of 45 students in them. Studen   [#permalink] 01 Mar 2019, 03:29
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