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In a survey of 400 students in a school,...

In a survey of 400 students in a school, 100 were listed as taking apple juice, 150 as taking orange juice and 75 were listed as taking both apple as well as orange juice. Find how many students were taking neither apple juice nor orange juice.

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NCERT BANGLISH-SETS-MISCELLANEOUS EXERCISE ON CHAPTER 1
  1. In a survey of 400 students in a school, 100 were listed as taking app...

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  2. Decide, among the following sets, which sets are subsets of one and a...

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  3. In each of the following, determine whether the statement is true or f...

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  4. In each of the following, determine whether the statement is true or f...

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  5. In each of the following, determine whether the statement is true or f...

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  6. In each of the following, determine whether the statement is true or f...

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  7. In each of the following, determine whether the statement is true or f...

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  8. In each of the following, determine whether the statement is true or f...

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  9. Let A, B, and C be the sets such that A ∪ B = A ∪ C and A ∩ B = A ∩ C....

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  10. Show that the following four conditions are equivalent : A ⊂ B

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  11. Show that the following four conditions are equivalent : A – B = φ

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  12. Show that the following four conditions are equivalent : A ∪ B = B

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  13. Show that the following four conditions are equivalent : A ∩ B = A

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  14. Show that if A ⊂ B, then C – B ⊂ C – A.

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  15. Assume that P ( A ) = P ( B ). Show that A = B

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  16. Is it true that for any sets A and B, P ( A ) ∪ P ( B ) = P ( A ∪ B )?...

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  17. Show that for any sets A and B, A = ( A ∩ B ) ∪ ( A – B ) and A ∪ ...

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  18. Using properties of sets, show that A ∪ ( A ∩ B ) = A

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  19. Using properties of sets, show that A ∩ ( A ∪ B ) = A.

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  20. Show that A ∩ B = A ∩ C need not imply B = C.

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  21. Let A and B be sets. If A ∩ X = B ∩ X = φ and A ∪ X = B ∪ X for some s...

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