Self Studies

Set Theory Test...

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  • Question 1
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    If $$\displaystyle Q=\left\{ x:x=\frac { 1 }{ y } ,where\  \ y\ \in \ N \right\} $$, then find the correct one.

  • Question 2
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    Which set is the subset of the set containing all the whole numbers?

  • Question 3
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    In an examination $$70\%$$ students passed both in Mathematics and Physics $$85\%$$ passed in Mathematics and $$80\%$$ passed in Physics If $$30$$ students have failed in both the subjects then the total number of students who appeared in the examination is equal to : 

  • Question 4
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    If $$n(A) = 65, n(B) = 32$$ and $$\displaystyle n\left ( A\cap B \right )=14 $$, then $$\displaystyle n\left ( A\Delta  B \right ) $$ equals

  • Question 5
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    If $$X$$ and $$Y$$ are any two non empty sets then what is $$\displaystyle \left ( X-Y \right )'$$ equal to?

  • Question 6
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    If $$n(A) = 115$$, $$n(B) = 326$$, $$n(A - B) = 47$$ then $$\displaystyle n\left ( A\cup B \right )$$ is equal to

  • Question 7
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    If $$A$$ and $$B$$ are non empty sets and A' and B' represents their compliments respectively then

  • Question 8
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    If $$\displaystyle \xi =\left \{ 2,3,4,5,6,7,8,9,10,11 \right \}$$
    $$\displaystyle A =\left \{ 3,5,7,9,11 \right \}$$
    $$\displaystyle B =\left \{ 7,8,9,10,11 \right \}$$, then find $$(A - B)'$$

  • Question 9
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    The set of all those elements of A and B which are common to both is called

  • Question 10
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    Given $$K=\left \{B, A, N, T, I\right \}$$. Then the number of subsets of K, that contain both A, N is

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