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Self Studies

Sets Test - 39...

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  • Question 1
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    If the domain of $$h(x)$$ is $$R-A$$ , where $$'R'$$ is set of real number then the product of all elements in set $$'A'$$ is 

  • Question 2
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    The set which begins with additive identity is 

  • Question 3
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    If $$A$$ and $$B$$ are events such that
    $$P(A\cup B)=\cfrac{3}{4},P(A\cap B)=\cfrac{1}{4},P(\overline { A } )=\cfrac{2}{3}$$, then $$P(\overline { A } \cap B)$$ is

  • Question 4
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    $$A - ( A - B ) $$ is equivalent to which expression

  • Question 5
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    If set 's' contains all the real values of x for which $$log_ {(2x+3)^{x^2}}<1$$ is true, then set 'S' contain:

  • Question 6
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    Let $$A=\left\{ 1,2,3,4 \right\} ,B=\left\{ 2,4,6 \right\} $$. Then the number of sets $$C$$ such that $$A\cap B\subseteq C\subseteq A\cup B$$ is

  • Question 7
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    In a survey it was found that 21 people liked product A, 26 liked product B and 29 liked product C. If 14 people liked products A and B, 12 people liked products C and A, 14 people liked products B and C and 8 liked all the three products. Find how many liked product C only.

  • Question 8
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    Let A and B be two sets containing four and two elements respectively. Then the number of subsets of the set $$A \times B$$, each having at least three elements is............

  • Question 9
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    The number of subsets $$ R$$ of $$P=(1,2,3,....,9)$$ which satisfies the property "There exit integers a<b<c with a$$\in $$R, b$$\in $$R,c$$\in $$R" is

  • Question 10
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    If the number of $$5$$ elements subsets of the set $$A\left\{\ a_{1},a_{2}.....a_{20}\right\}$$ of $$20$$ distinct elements is $$k$$ times the number of $$5$$ elements subsets containing $$a_{4}$$, then $$k$$ is 

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