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In an examination hall, all students of two different classes A & B we

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In an examination hall, all students of two different classes A & B we  [#permalink]

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New post 09 Dec 2019, 00:22
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A
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D
E

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Question Stats:

52% (02:27) correct 48% (02:18) wrong based on 23 sessions

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In an examination hall, all students of two different classes A & B were sitting with at least one student of each class. Each student of class A gave 3 exams and each student of class B gave 4 exams. If the number of students in class A was less than the number of students in class B, what was the number of class A students in the hall?

(1) The total number of exams taken by all students put together was 40.

(2) If 5 students from class B leave the hall, the total number of exams will be reduced to 20.


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Re: In an examination hall, all students of two different classes A & B we  [#permalink]

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New post 09 Dec 2019, 03:28
#1
The total number of exams taken by all students put together was 40
3x+4y=40
x=4,y=7
x=8;y=4
x=12;y=1

If the number of students in class A was less than the number of students in class B
x<y
sufficient x=4

#2
If 5 students from class B leave the hall, the total number of exams will be reduced to 20.
x+y-5=20
x+y=25
insufficient
IMO A

Bunuel wrote:
In an examination hall, all students of two different classes A & B were sitting with at least one student of each class. Each student of class A gave 3 exams and each student of class B gave 4 exams. If the number of students in class A was less than the number of students in class B, what was the number of class A students in the hall?

(1) The total number of exams taken by all students put together was 40.

(2) If 5 students from class B leave the hall, the total number of exams will be reduced to 20.


Are You Up For the Challenge: 700 Level Questions
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Re: In an examination hall, all students of two different classes A & B we  [#permalink]

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New post 23 Dec 2019, 05:10
1
Let No of students in class A = A
Let No of students in class B = B

Answer: D
( Refer attachment for detail explanation)

Bunuel wrote:
In an examination hall, all students of two different classes A & B were sitting with at least one student of each class. Each student of class A gave 3 exams and each student of class B gave 4 exams. If the number of students in class A was less than the number of students in class B, what was the number of class A students in the hall?

(1) The total number of exams taken by all students put together was 40.

(2) If 5 students from class B leave the hall, the total number of exams will be reduced to 20.


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Attachments

Class.jpg
Class.jpg [ 1.31 MiB | Viewed 400 times ]

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Re: In an examination hall, all students of two different classes A & B we   [#permalink] 23 Dec 2019, 05:10
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