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In a school, 80 students like Maths, 90 ...

In a school, 80 students like Maths, 90 students like Science, 82 students like History, 21 like both Maths and Science, 19 like both Science and History 20 like both Maths and History and 8 liked all the three subjects. If each student like atleast one subject, then find (i) the number of students in the school (ii) the number of students who like only one subject.

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SURA PUBLICATION-SET LANGUAGE-EXERCISE 1.6
  1. If n(A) = 25, n(B) = 40, n(AcupB)=50 and n(B') = 25, find n(AcapB) and...

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  2. If n(A) = 300, n(AcupB)=500,n(AcapB)=50 and n(B') = 350, find n(B) and...

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  3. If U={x:x inNN,xle10}, A = {2, 3, 4, 8, 10} and B = {1, 2, 5, 8, 10}, ...

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  4. Verify n(AcupBcupC)=n(A)+n(B)+n(C)-n(AcapB)-n(BcapC)-n(AcapC)+n(AcapBc...

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  5. In a class, all students take part in either music or drama or both. 2...

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  6. In a party of 45 people, each one likes tea or coffee or both. 35 peop...

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  7. In an examination 50% of the students passed in Mathematics and 70% of...

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  8. A and B are two sets such that n(A - B) = 32 + x, n(B - A) = 5x and n(...

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  9. Out of 500 car owners investigated, 400 owned car A and 200 owned car ...

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  10. In a colony, 275 families buy Tamil newspaper, 150 families buy Englis...

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  11. A survey of 1000 farmers found that 600 grew paddy, 350 grew ragi, 280...

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  12. In the adjacent diagram, if n(U) = 125, y is two times of x and z is 1...

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  13. Each student in a class of 35 plays atleast one game among chess, carr...

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  14. In a class of 50 students, each one come to school by bus or by bicycl...

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  15. From the given venn diagram. Find (i) A, (ii) B, (iii) AcupB, (iv) Aca...

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  16. If n(A) = 12, n(B) = 17 and n(AcupB)=21" find "n(AcapB).

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  17. In a school, 80 students like Maths, 90 students like Science, 82 stud...

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  18. State the formula to find n(AcupBcupC).

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  19. Verify n(AcupBcupC)=n(A)+n(B)+n(C)-n(AcapB)-n(BcapC)-n(AcapC)+n(AcapBc...

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