Self Studies

Sets Test - 39...

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

  • Question 2
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    The set which begins with additive identity is 

  • Question 3
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    If AA and BB are events such that
    P(AB)=34,P(AB)=14,P(A)=23P(A\cup B)=\cfrac{3}{4},P(A\cap B)=\cfrac{1}{4},P(\overline { A } )=\cfrac{2}{3}, then P(AB)P(\overline { A } \cap B) is

  • Question 4
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    A(AB)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)x2<1log_ {(2x+3)^{x^2}}<1 is true, then set 'S' contain:

  • Question 6
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    Let A={1,2,3,4},B={2,4,6}A=\left\{ 1,2,3,4 \right\} ,B=\left\{ 2,4,6 \right\} . Then the number of sets CC such that ABCABA\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×BA \times B, each having at least three elements is............

  • Question 9
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    The number of subsets R R of P=(1,2,3,....,9)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 55 elements subsets of the set A{ a1,a2.....a20}A\left\{\ a_{1},a_{2}.....a_{20}\right\} of 2020 distinct elements is kk times the number of 55 elements subsets containing a4a_{4}, then kk is 

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