Self Studies

Sets Test - 26...

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  • Question 1
    1 / -0

    Let $$A = \{2,3,5,7,8,11\}$$ then which among the following is true?

  • Question 2
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    Which of the following statements is true

  • Question 3
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    Let $$P = \{ x | x$$ is a multiple of $$3$$ and less than $$100 $$ ,$$x$$ $$\displaystyle \in $$ $$N \}$$
    $$Q = \{ x | x$$ is a multiple of $$10$$ and less than $$100$$, $$x$$ $$\displaystyle \in$$ $$N\}$$

  • Question 4
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    If X and Y are two sets then $$\displaystyle X\cap (Y\cup X)'$$ equals:

  • Question 5
    1 / -0

    If $$n (A) = 115, n(B) = 326, n(A - B) = 47$$, then $$\displaystyle n(A+B)$$ is equal to 

  • Question 6
    1 / -0

    Which of the following statements is true ?

  • Question 7
    1 / -0

    Given $$\displaystyle \xi $$ = {x : x is a natural number}
    A = {x : x is an even number x $$\displaystyle \in $$ N}
    B = {x : x is an odd number, x $$\displaystyle \in $$ N}
    Then $$\displaystyle (B\cap A)-(x-A)=....$$

  • Question 8
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    If n (A) = 120, N(B) = 250 and n (A - B) = 52, then find $$\displaystyle n(A\cup B)$$

  • Question 9
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    If A and B are two disjoint sets and N is the universal set then $$\displaystyle A^{c}\cup \left [ \left ( A\cup B \right )\cap B^{c} \right ]$$ is

  • Question 10
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    Suppose $$\displaystyle A_{1},A_{2}.....A_{30}$$ are thirty sets having 5 elements and $$\displaystyle B_{1},B_{2}....B_{n}$$ are n sets each with 3 elements. Let $$\displaystyle \bigcup_{i=1}^{30}Ai=\bigcup_{i=1}^{n}Bj=S$$ and each elements of S belongs to exactly 10 of the Ai's and exactly 9 of the Bj's. Then n is equal to 

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