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Which of the following statements is tru...

Which of the following statements is true?

A

`A cup B = A cup C rArr B - C`

B

`A cap B = A cap C rArr B - C`

C

`A Delta B = A Delta C rArr B = C`

D

`A - B = A - C rArr B = C`

Text Solution

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-SETS ( APPENDIX - 1)-EXERCISE
  1. If A = {1,2,3}, B = {2,3,4}, then A - B =

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  2. If A = {1,2,3,4,5}, B = {0,2,4,6,8} then A Delta B =

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  3. Which of the following statements is true?

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  4. If A and B are disjoint nonempty sets then A - (A - B) is equal to

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  5. (A - B) cup (B - A) =

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  6. If A = {1,2,3,4}, B = {2,4,6,8}, C = {3, 4,5,8}," then " A - (B cap C)...

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  7. If A = {1,2,5,6}, B = {2,4,5}, C = {2,4,6,8}," then " A - (B cup C) =

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  8. If A = {3,5,7,9}, B = {1,3,5}, mu = {1,2,3,4,5,7,9}" then " (A cup B)'...

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  9. If X and Y are two sets, then X cap (Y cup X)^(c ) equals

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  10. The set (A cap B^(c ))^(c ) cup (B cap C) is equal to

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  11. The set (A cup B cup C) cap (A cap B^(c ) cap C^(c ))^(c ) cap C^(c )...

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  12. If n(A) = 20, n (B) = 44, n (A cup B) = 51", then " n (A cap B) =

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  13. If n(A) = 25, n(B) = 15, n (A cup B) = 30," then " n (A cap B ) =

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  14. If n(A) = 20, n (B) = 44, n (A cap B) = 13" then " n (A cup B) =

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  15. If n(A) = 37, n(B) = x, n(A cup B) = 52, n(A cap B) = 8 , then x =

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  16. If A sube B, n(A) = 25, n(B) = 35," then " n (A cap B) =

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  17. If A, B, C are three sets and S in the universal set such that n(S) = ...

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  18. If n(A) = 12, n(B) = 16, n(C ) = 21, n(A capB) = 5, n(A cap C) = 8, n(...

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  19. If n(A) = 10, n (B) = 15, n(C ) = 20, n (A cap B) = 4, n (A cap C) = 7...

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  20. In a class 16 students read Mathematics , 17 read General Science and ...

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