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| Questions |
Q. 1. In a survey of a group of 180 students, 50 say to like PUBG Game only, 30 say to like Ludo game only and 50 say do not like both the games.
i) Express the above information in a Veen – Diagram.
ii) Find the ratio of the students who like PUBG and Ludo game. [Ans: 5:4]
Q. 2. Out of 250 tourist arriving to visit Nepal in 2020 A.D. 40% of them have already visit Rara Lake and 30% visit Kankrebihar. Also 10% of them already visit both the places then,
i) Show the above information in a Veen – Diagram.
ii) How many tourists had visited Kankrabihar only? [Ans:50]
iii) How many tourists had not visited both the places? [Ans:100]
Q. 3. In a class of 800 students, 100 like tea only, 150 like both the drinks tea and coffee, 50 students don’t like both the drinks.
i) How many students like coffee only? [Ans:500]
ii) How many students like at least one drinks? [Ans:600]
iii) Show all the results in a Veen – Diagram.
Q. 4. In an election of Municipality, two candidate M and N stood for the post of Mayor and 30,0000 people were in the voter list. Voter were supposed to cast to vote for a single candidate 15,000 people cast vote for M, 12,000 people cast vote for N and 2,000 people cast vote for both,
i) Show this information in a Veen – Diagram.
ii) How many people did not cast vote? Find it. [Ans: 5,000]
iii) How many votes were valid? Find it. [Ans: 23,000]
Q. 5. In a survey of 950 people, it was found that the ratio of people who like Arithmetic to Geometry is 4:5. If 100 0f them like both the subject and 150 of them like none of them, then by expressing the Veen – Diagram find:
i) How many people like only Arithmetic? [Ans:300]
ii) How many people like only Geometry? [Ans:400]
Q. 6. In a survey of 350 students of a school, 200 liked Pokhara, 220 liked Chitwan and 120 liked both places, then:
i) Show the above information in a Venn-diagram.
ii) Find the number of students who liked neither of two places. [Ans:50]
Q. 7. 75 Students in a class like tea or coffee or both. Out of them 10 like both the drinks. The ratio of the number of students who like tea to those who like coffee is 2:3
i) Find the number of students who like tea. [Ans:34]
ii) Find the number of students who like coffee only. [Ans:41]
iii) Find the number of students who like tea only. [Ans:24]
iv) Express the above information in a Venn-Diagram.
Q. 8. out of115000 students 20 %failed in SLC, 40% of the failures failed in science only and only and 35 % in mathematics only but 5 % of then failed in other subjects. Then,
i) How many field in both Science and mathematics? Find them. [Ans:460]
ii) Show the above information in a Venn-Diagram.
Q. 9. In a survey of some farmers of a community, 80% of them are found cultivating rice, 75% cultivating wheat, 5 % are not cultivating both the crops and 300 farmers are found cultivating both the crops.
i) Draw a Venn - Diagram to illustrate the above information.
ii) Find the total number of farmers participated in the survey. [Ans:500]
iii) Find the number of farmers who are cultivating rice only. [Ans:400]
iii) Find the number of farmers who are cultivating rice only. [Ans:100]
Q. 10. In a survey of 15000 students 0f different schools, 40 % of them were found to have tuition before the SEE examination. Among them 50% studied only Mathematics, 30% only Science and 5% studied none of these two subjects.
i) Represent the above information in a Venn - Diagram.
ii) How many students studied Mathematics as well as Science? [Ans:900]
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