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In a survey of 200 students of a school...

In a survey of 200 students of a school, it was found that 120 study Mathematics, 90 study Physics and 70 study Chemistry , 40 study Mathematics and Physics, 30 study Physics and Chemistry, 50 study Chemistry and Mathematics and 20 none of these subjects. Find the number of students who study all the three subjects.

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20
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If in a class there are 200 students in which 120 take Mathematics, 90 take Physics, 60 take Chemistry, 50 take Mathematics & Physics, 50 take Mathematics & Chemistry, 43 take Physics & Chemistry and 38 take Mathematics Physics & Chemistry, then the number of students who hace taken exactly one subject is

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In a survey of 25 students, it was found that 15 had taken Mathematics, 12 had taken Physics and 11 had taken Chemistry, 5 had taken Mathematics and Chemistry, 9 had taken Mathematics and Physics, 4 had taken Physics and Chemistry and 3 had taken all the three subjects. Consider the following statements : 1. The number of students who had taken only one subject is equal to the number of students who had taken only two subjects. 2. The number of students who had taken at least two subjects is four times the number of students who had taken all the three subjects. Which of the above statements is/are correct ?

ML KHANNA-CONCEPTS OF SET THEORY -Problem Set (1)
  1. Let n(U)=700, n(A)=200,n(B)=300 and n(AnnB)=100, then find n(A'nnB')

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  2. In a group of 1000 people, there are 750 who can speak Hindi and 400 w...

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  3. Of the members of three athletic teams in a certain school, 21 are in ...

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  4. An investigator interviewed 100 students to determine their preference...

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  5. In a survey of 200 students of a school, it was found that 120 study...

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  6. A survey shows that 63% of the Indians like cheese, whereas 76% like a...

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  7. In a pollution study of 1500 Indian rivers the following data were rep...

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  8. A group of 123 workers went to a canteen for cold drinks, ice-cream an...

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  9. A survey of 500 television watchers produced the following information...

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  10. In a town of 10,000 families it was found that 40% families buy newspa...

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  11. In a town of 10,000 families it was found that 40% families buy newspa...

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  12. In a town of 10,000 families it was found that 40% families buy newspa...

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  13. The report of one survey of 100 students stated that the numbers study...

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  14. A survey conducted on 600 students of B.A. part I classes of a college...

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  15. Let A, B, C be subsets of the universal set U. If n(U)=692,n(B)=230,</...

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  16. If the set A contains 5 elements, then the number of elements in the p...

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  17. Given A={x:x is a root of x^(2)-1=0},B={x:x is a root of x^(2)-2x+1=0}...

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  18. Let S = {1,2,3,4}. The total number of unordered pairs of disjoint sub...

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  19. 25 people for programme A, 50 people for programme B, 10 people for bo...

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  20. Let X""=""{1,""2,""3,""4,""5} . The number of different ordered pairs ...

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