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A market research group conducted a survey of 1000 consumers and reported that 720 consumers liked product A and 450 consumers liked product B. What is the least number that must have liked both products?

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A market research group conducted a survey of 1000 consumers and reported that 720 consumers like product A and 450 consumers like product B, what is the least number that must have liked both products?

A market research group conducted a survey of 1000 consumers and reported that 720 consumers like product A and 450 consumers like product B what is the least number that must have liked both products ?

A market research group conducted a survey of 500 consumers and reported that 400 consumers liked product A and 300 consumers liked product B. What is the least number that must have liked both products

A company studies the product preferences of 300 consumers. It was found that 226 liked product A, 51 liked product B, 54 liked product C,21 liked products A and B , 54 liked products A and C, 39 liked products B and C and 9 liked all the three products. Prove that, the study results are not correct. [ Assume that each consumer likes at least one of the three products.]

In a survey it was found that 21 people liked product A, 26 liked product B and 29 liked product C. If 14 people liked products A and B, 12 people liked products C and A, 14 people liked products B and C and 8 liked all the three products. Find how many liked product C only.

A toy company manufacturers two types of dolls, A and B. Market research and available resources have indicated that the combined production level should not exceed 1200 dolls per week and the demand for dolls of type B is at most half of that for dolls of type A. Further, the production level of dolls of type A can exceed three times the production of dolls of other type by at most 600 units. If the company make profit of Rs. 12 ad Rs. 16 doll respectively on dolls A and B, how many of each should be produced weekly in order to maximise the profit?

After watching a programme on TV about the presence of caricinogens (cancer causing agents) potassium bromate and potassium iodate in bread and other bakery products, Rupali a class XII student decided to aware others about the adverse effects of these carcinogens in foods, She consulted the school principal and requested him to instruct the canteen contractor to stop selling sandwiches, pizzas, burgers, and other bakery products to the students. The principal took an immediate action and insturcted the canteen contractor to replace the bakery product with some proteins and vitamins rich food like fruits, salads, sprouts etc. The decision was welcomed by the parents and students. What are the values (at least two) displayed by Rupali?

After watching a programme on TV about the presence of caricinogens (cancer causing agents) potassium bromate and potassium iodate in bread and other bakery products, Ritu a class XII student decided to aware others about the adverse effects of these carcinogens in foods, She consulted the school principal and requested him to instruct the canteen contractor to stop selling sandwiches, pizzas, burgers, and other bakery products to the students. The principal took an immediate action and insturcted the canteen contractor to replace the bakery product with some proteins and vitamins rich food like fruits, salads, sprouts etc. The decision was welcomed by the parents and students. What are the values (at least two) displayed by Ritu?

CHHAYA PUBLICATION-SET THEORY -Short answer type questions
  1. Let A,B and C be three sets. Show by means of examples that each of th...

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  2. Let A,B and C be three sets. Show by means of examples that each of th...

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  3. For any two sets A and B, prove the following : (B-A) capA=phi

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  4. For any two sets A and B, prove the following : A^c-B^c=B-A

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  5. For any two sets A and B, prove the following : A-B=A-(AcapB)

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  6. For any two sets A and B, prove the following : A-B=AcapB'

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  7. For any two sets A and B, prove the following : B-A^c =AcapB

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  8. For any two sets A and B, prove the following : B sube(A-B)^c

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  9. For any two sets A and B, prove the following : (A cupB)-(AcapB)=(A-...

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  10. For any two sets A and B, prove the following : (A-B)cup(AcapB)=A

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  11. Let ZZ be the set of integers and A={x:x =6n, n in ZZ},B={x : x =4n,n ...

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  12. Using set operations find the H.C.F. of the numbers 12, 15 and 18.

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  13. Applying set operations find the L.C.M. of the numbers 15, 25 and 30.

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  14. If r,s,t are prime numbers and p,q are the positive integers such that...

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  15. Using a Venn diagram or otherwise, solve the following problem: In a...

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  16. Use a Venn diagram to solve the following problem: In a statistical ...

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  17. A market research group conducted a survey of 1000 consumers and repor...

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  18. In a town 60% red magazine A, 25% do not read magazine A but read maga...

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  19. Two finite sets A and B have respectively p and q elements. If the tot...

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  20. Two finite sets A and B have m and n elements respectively. Find the m...

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