Grade- IX | Mathematics | Unit- 1 Set

Unit: 1

Set

1. 16 students play cricket and 12 students play hockey. It is found that 8 students play both games. Find the number of students playing at least one game. Draw a Venn- Diagram to illustrate the above information.

... Answer:
20

2. 28 people like ice-creams and 25 people like cold drinks. If 43 people like either ice- creams or cold drinks, find the number of people liking both ice-creams and cold drinks. It is found that 8 students play both games. Find the number of students playing at least one game. Draw a Venn- Diagram to illustrate the above information.

... Answer:
10

3. In the survey of 92 people, it was found that 51 people liked to eat oranges and 59 liked to eat apples. If the people like to eat at least one type of fruits,

1. how many people liked to eat both types of fruits?
2. how many people liked to eat orange only?
3. how many people liked to eat apple only?
4. Draw a Venn- Diagram to illustrate the above information.

... Answer:
a. 18 b. 33 c. 41

4. In a market survey of 500 consumers, it was found that 250 purchase tea, 200 purchase coffee and 100 purchase both tea and coffee. How many of them purchase,

1. tea or coffee
2. coffee only
3. tea only
4. neither tea nor coffee
5. Represent the above information into a Venn-diagram.

... Answer:
a. 350 b. 100 c. 150 d. 150

5. In a group of 160 people, 72 read the Kantipur only and 75 read the Annapurna Post only. Each person of the group reads at least one of the two newspapers.

1. Draw a Venn-diagram to illustrate the above information.
2. How many people read both types of newspapers?
3. How many people read the Kantipur?
4. How many people read the Annapurna Post?

... Answer:
b. 13 c. 85 d. 88

6. In a school day, each student has to participate either in music or in sport. Out of 355 students of the school, 250 participate in sports and 145 in music.

1. Represent the above information in a Venn-diagram.
2. How many students have participated in both activities?
3. How many of them have participated in one activity only?

... Answer:
b. 40 c. 315

7. In a survey, it was found that 70% of the people like Dashain festival and 63% like Tihar festival. If there were 5% of the people who did not like both festivals

1. what percent like both type of festivals?
2. what percent like Dashain festival only?
3. what percent like Tihar festival only?
4. Draw the above information in a Venn-diagram.

... Answer:
a. 38% b. 32% c. 25%

8. In a survey of 2000 tourists who visited Nepal, it was found that 1125 liked to visit Pokhara, 750 liked to visit Lumbini and 250 did not like to visit both places.

1. How many were there who liked to visit both places?
2. How many tourists liked to visit only one place?
3. Represent the above information in Venn-diagram.

... Answer:
a. 125 b. 1625

9. In a survey of 2000 tourists who visited Nepal, it was found that 925 liked to visit Pokhara, only 650 liked to visit Janakpur only and 375 did not like to visit both places.

1. How many tourists liked to visit both places?
2. How many of the tourists liked to visit Pokhara?
3. How many of the tourists liked to visit Janakpur?
4. Represent the above information inn a Venn-Diagram.

... Answer:
a. 50 b. 975 c. 700

10.In an examination, 85% of the students passed in Mathematics, 87% in English and 81% in both.

1. What percent of the students passed in at least one subject?
2. If 18 students failed in the examination, find the total number of students.
3. Represent the above information in a Venn-diagram.

... Answer:
a. 90% b. 200