Daily Practice Questions (24 August) for CAT 2023

Comprehension:
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 get-together. 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 1 : How many boys are there in the class?

Question 2 : 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. Neither I nor II
2. Only II
3. Only I
4. Both I and II

Question 3 : What fraction of the class are interested in attending a 2-day event?

1. 9/13
2. 2/3
3. 7/10
4. 7/13

Question 4 : What BEST can be concluded about the number of male dancers who are interested in attending a 1-day event?

1. 6
2. 4 or 6
3. 5
4. 5 or 6

Question 5 : How many female dancers are interested in attending a 2-day event?

1. Cannot be determined
2. 2
3. 1
4. 0