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If A and B and C are three non-empty set...

If A and B and C are three non-empty sets, then which of the following is/are not true ?
(A) `n(A xx B) = n(B xx C) hArr n(A) = n(C)`
(B) `A - (B nn C) = (A - B) nn (A - C)`
(C ) `A uu (B nn C) = (A uu B) nn (A uu C)`
(D) `(A nn B) - C = (A-C) nn (B - C)`

A

(B) and (D)

B

(A),(B), and (D)

C

(C ) and (D)

D

only (B)

Text Solution

Verified by Experts

The correct Answer is:
D
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PEARSON IIT JEE FOUNDATION-SETS-CONCEPT APPLICATION (LEVEL 1)
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  2. If n(P) = 20, n(Q) = 18 and n(Puu Q) = 27, then n(P - Q) =

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  3. In an examiniation 55% of the students failed in chemistry, 47% faile...

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  4. If n(PnnQ) = 23, n(PuuQ) = 57 and n(Q-P) = 26, then n(P -Q) = "".

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  5. If n(A-B) = 17, n(B -A) = 13 and n(A nn B) = 19, then n(A uu B) = "".

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  6. If P and Q are sets having 5 elements in com-mon, then how many elemen...

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  7. If (A uu B) nn (A nn B) = A , then which of the following is true ?

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  8. If X DeltaY=varphi, then which of the following is true

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  9. If A DeltaB = {1,2,3,4,5,6,7,8,9,11,13} and B = {4,5,6,8,11,13} then f...

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  10. If n(P) = 13, then for which of the following values of n(Q) may resul...

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  11. If A and B and C are three non-empty sets, then which of the following...

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  12. If A and B are two non - empty equivalent sets, then a possible value ...

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  13. If n(A uu B) = 32, n(B) = 12and n(A nn B) = 5, then n(A) =

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  14. In a class of 75 students, 40 take milk, 50 take tea and 30 take both....

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  15. Which of the following is not true ?

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  16. If n(A xx B) = 24, n(B xx C) = 36 , and n(B) = 3, then n(A xx C) =

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  17. Given that A = {2,4,6,7,8} and B = {1,2,3,4} Find A Delta B. The foll...

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  18. A = {x : 2 lt x lt 8 " and " x in N} and B = {x:3 lt x lt 9 " and " x...

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  19. If n(A) = 6 and n(B) = 8 and n(A nn B) = 4, then find n(A Delta B). ...

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  20. If A and B are two non-empty sets and A - B is a null set, then "".

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