Year
CAT 2022
Section
Data
Topic
Caselets
Difficulty
Hard
Question
Slot-1
Read the passage and answer the questions below.
Read the passage and answer the questions below.
Passage:
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:
- All the girls and of the boys are interested in attending a 1 -day event. of the boys are interested in attending a 2-day event.
- 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.
- 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.
- 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.
- 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.
Only II
Neither I nor II c Only II
Both I and II
Question 3
What fraction of the class are interested in attending a 2-day event?
Question 4
What BEST can be concluded about the number of male dancers who are interested in attending a 1-day event?
5 or 6
6
5
4 or 6
Question 5
How many female dancers are interested in attending a 2-day event?
2
1
0
Cannot be determined
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