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Year

CAT 2022

Section

Data

Topic

Caselets

Difficulty

Hard

Question

Slot-1

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:

  1. All the girls and 80%80 \% of the boys are interested in attending a 1 -day event. 60%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.

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?

710\frac{7}{10}

713\frac{7}{13}

913\frac{9}{13}

23\frac{2}{3}

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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