Question (6 to 10) –

 There are 15 girls and some boys among the graduating students in a class. They are planning a get-together, which can be either a 1-day event, or a 2-day event, or a 3-day event. There are 6 singers in the class, 4 of them are boys. There are 10 dancers in the class, 4 of them are girls. No dancer in the class is a singer.

Some students are not interested in attending the gettogether. Those students who are interested in attending a 3-day event are also interested in attending a 2-day event; those who are interested in attending a 2-day event are also interested in attending a 1-day event.

The following facts are also known:
1. All the girls and 80% of the boys are interested in attending a 1-day event. 60% of the boys are interested in attending a 2-day event.
2. Some of the girls are interested in attending a 1-day event, but not a 2-day event; some of the other girls are interested in attending both.
3. 70% of the boys who are interested in attending a 2-day event are neither singers nor dancers. 60% of the girls who are interested in attending a 2-day event are neither singers nor dancers.
4. No girl is interested in attending a 3-day event. All male singers and 2 of the dancers are interested in attending a 3-day event.
5. The number of singers interested in attending a 2-day event is one more than the number of dancers interested in attending a 2-day event.

Question 6- How many boys are there in the class?  

Explanation

Correct answer- 50

Question 7

 Which of the following can be determined from the given information?

I. The number of boys who are interested in attending a 1-day event and are neither dancers nor singers.

II. The number of female dancers who are interested in attending a 1-day event.

1.  Only II 

2.  Both I and II 

3.  Only I 

4.  Neither I nor II

Explanation

Correct answer- 1

Question 8

What fraction of the class are interested in attending a 2-day event?

1.  7/10 

2.  7/13

3.  2/3

4.  9/13

Explanation

Correct answer- 2

Question 9

What BEST can be concluded about the number of male dancers who are interested in attending a 1-day event?

1.  6

2.  5

3.  4 or 6

4.  5 or 6 

Explanation

Correct answer- 4

Question 10

 How many female dancers are interested in attending a 2-day event?

1.  Cannot be determined

2.  1

3.  0

4.  2 

Explanation

Correct answer – 3