Self Studies

Sets Test - 36...

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  • Question 1
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    In order to draw a graph of $$f(x) = ax^{2} + bx + c$$, a table of values was constructed. These values of the function for a set of equally spaced increasing values of $$x$$ were $$3844, 4096, 4227, 4356, 4489, 4624$$, and $$4761$$. The one which is incorrect is

  • Question 2
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    If $$X$$ and $$Y$$ are two sets, then $$X\cap \left( X\cup Y \right)$$ equals

  • Question 3
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    If a relation from a finite set A having m elements to a finite set B having n elements, then the number of relations from A to B is

  • Question 4
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    Let $$A=\left\{ x:x\ \in\ R,\left| x \right| <1 \right\}$$
    $$B=\left\{ x:x\ \in\ R,\left| x-1 \right| \ge 1 \right\}$$
    and $$A\cup B=R-D$$, then set $$D$$ is

  • Question 5
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    If X and Y are two sets such that n(X)=17, n(Y)=23 and n(X $$\cup$$ Y)=38, find n(X $$\cap$$ Y).

  • Question 6
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    Consider the word $$W=MISSISSIPPI$$.
    If $$N$$ denotes the number of different selections of $$5$$ letters from the word $$W = MISSISSIPPI$$ then $$N$$ belongs to the set,

  • Question 7
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    If sets $$A$$ and $$B$$ are define as
    $$A=\left\{ \left( x,y \right) :y={ e }^{ x },x\in R \right\}$$
    $$B=\left\{ \left( x,y \right) :y=x,x\in R \right\}$$, then 

  • Question 8
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    Let $$A=\left\{ \left( x,y \right) :y={ e }^{ x },x\in R \right\}$$
          $$B=\left\{ \left( x,y \right) :y={ e }^{ -x },x\in R \right\}$$. Then 

  • Question 9
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    If $$X$$ and $$Y$$ are two sets, then $$X\cap \left( Y\cup X \right)'$$ equals

  • Question 10
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    Suppose $${A_1},{A_2},...,{A_{30}}$$ are thirty sets each having 5 elements and $${B_1},{B_2},...,{B_n}$$ are $$n$$ sets each with 3 elements, let $$\bigcup\limits_{i = 1}^{30} {{A_i}}  = \bigcup\limits_{i = 1}^n {Bj}  = S$$ and each element of $$S$$ belongs to exactly 10 of the $${A_i}'s$$ and exactly 9 of the $$B,'s$$. Then $$n$$ is equal to 

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