9th Maths Exercise 3.2 Question No 13,14 | Chapter 3 Sets & Relations | National Book Foundation

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1. Let A and B be two finite sets such that 𝒏(𝑨)=𝟐𝟒, 𝒏(𝑩)=𝟏𝟖 and n(A∪𝑩)=𝟑𝟏 Find 𝒏(𝑨∩𝑩)
2. If 𝒏(𝑨−𝑩)=𝟐𝟑, 𝒏(𝑨∪𝑩)=𝟒𝟒 and 𝒏(𝑨∩𝑩)=𝟐, then find 𝒏(𝑩−𝑨). Also find 𝒏(𝑩). (𝑯𝒊𝒏𝒕:𝒏(𝑩)=𝒏(𝑨∩𝑩)+𝒏(𝑩−𝑨)
3. In a group of 30 mathematics students, 20 like algebra and 15 like both geometry and algebra. Show the data by Venn diagram. Also find how many students like geometry.
4. In a street with 50 houses, 25 houses have lawn, 32 houses have car porch and 15 houses have both houses and car porch. Show the data by Venn diagram. Also find how many houses have neither lawn nor porch.
5. In a survey of 940 children, 400 students were found studying at primary level, 240 students at elementary and 175 at secondary level. Create a Venn diagram to illustrate this information. How many children were found out of school?
6. ABC dairy polls its customers on their favorite flavor: chocolate, vanilla or mango? 100 customers said they like mango flavor, 90 customers said they like vanilla, 40 polled for chocolate, 20 customers liked both mango and vanilla while 14 liked both chocolate and vanilla. How many customers said they like:
(a) Only mango? (b) only vanilla (d) only chocolate
7. In a survey of university 200 students were interviewed. It was found that:
42 students have laptop, 80 students have cell phone, 100 students have iPods, 23 students have both a laptop and a cellphone, 10 students have both a laptop and iPod, 14 students have both a cell phone and ipod and 8 students all three atoms. (a) How many students have only cell phone? (b) How many students have non of the three atoms? (c) How many students have both iPod and laptop but not cell phone?
8. In a girl college, every student plays either badminton or table tennis or both. If 350 students play badminton, 280 play table tennis and 150 play both. Find how many students are there in the college?
9. Among 50 students, 8 are learning both English and Chinese languages. A total of 26 students are learning English. If every student is learning at least one language, how many students are learning Chinese?
10. Out of 70 people, 48 like tea and 40 like coffee and each person likes at least one of the two drinks. How many like both tea and coffee?
11. There are 46 students in science group and 50 students in arts group. Find the number of students who are either in science or arts group.
12. In a group of people, 52 people can speak Arabic and 112 can speak French. How many can speak Arabic only? How many can speak French only if 12 of them can speak both languages? How many people were in the group?
13. In a high school, 360 students like reading story books, 170 likes practical activities and 150 like both. Find (i) The number of students who like reading story books only. (ii) The number of students who like only practical activities. (c) The total number of students in the school.
14. In a survey of 60 people, it was found that 25 people watch channel A, 16 watch channel B, 13 watch channel C, 4 watch both A and B, 7 watch both B and C, 8 watch both A and C, 3 watch all three channels. Find the number of people who watch at least one of the channels? Also find number of people who do not watch these channels.

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