Self Studies

Set Theory Test...

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  • Question 1
    1 / -0

    Let $$n(A)=28$$,$$n(A\cap B)=8$$, $$n(A\cup B)=52$$, then $$n(A\cap B')=$$.

  • Question 2
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    Let $$A$$ and $$B$$ be two sets such that $$A\cap B=\phi$$. Find the value of $$(A\cup B')=$$

  • Question 3
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    Find the set of values of x for which it satisfies $$- 2 \le \left[ x \right] \le 4.$$ (where $$\left[  \ \  \right]$$ denotes the greatest integer function )

  • Question 4
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    If $$n(A)$$ denotes the number of elements in set A and if $$n(A)=4, n(B)=5$$ and $$n(A\cap B)=3$$ then $$n\left[ \left( A\times B \right) \cap \left( B\times A \right)  \right] =$$

  • Question 5
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    Given P(A)=$$0.5,$$P(B)=$$0.2$$ and P(AB)=0.1;find

  • Question 6
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    If two sets $$A$$ and $$B$$ are having $$80$$ elements in common, then the number of element common to each of the sets $$A\times B$$ and $$B\times A$$ are

  • Question 7
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    If A and B are any two sets, then $$ A \cup B$$ is  equal to: 

  • Question 8
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    The set $$\left( {A \cap B'} \right)' \cup \left( {B \cap C} \right)$$ is equal to :

  • Question 9
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    If $$n(A \cup B)=8, n(A)=6, n(B)=4$$, then $$n(A\cap B)$$=

  • Question 10
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    Let $$A, B$$ are two sets such that $$n(A)=6, n(B)=8$$ then the maximum number of elements in $$n(A\cup B)$$ is _________

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