Self Studies

Set Theory Test...

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  • Question 1
    1 / -0

    Look at the set of numbers below.
    Set : $$\left \{6, 12, 30, 48\right\}$$
    Which statement about all the numbers in this set is NOT true?

  • Question 2
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    In a class of 55 students, the number of students studying different subjects are 23 in Mathematics and 24 in Physics, 19 in Chemistry, 12 in Mathematics and Physics, 9 in Mathematics and Chemistry, 7 in Physics and Chemistry and 4 in all the three subjects, The number of students who have taken exactly one subject is

  • Question 3
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    Let $$A$$ and $$B$$ be two sets such that $$n(A)=16$$, $$n(B)=12$$, and $$n(A\cap B)=8$$. Then $$n(A\cup B)$$ equals

  • Question 4
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    Let $$A=\{1,2,3,4,5,6\}$$. How many subsets of $$A$$ can be formed with just two elements, one even and one odd?

  • Question 5
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    In a class 60% of the students were boys and 30% of them had I class. If 50%of the students in the class had I class, find the fraction of the girls in the class who did not have a I class.

  • Question 6
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    If $$A=\{\dots,-6,-4,-2,0,2,4,6,\dots\}$$, then

  • Question 7
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    The sets $$\displaystyle S_{x}$$ are defined to be $$(x, x + 1, x + 2, x + 3, x + 4)$$ where $$x=1, 2, 3,.....80$$. How many of these sets contain $$6$$ or its multiple? 

  • Question 8
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    If $$\displaystyle Q=\left((x|x=\frac{1}{y}\:\ \text{wher} \ e\:y\in N\right)$$, then

  • Question 9
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    If A={a,b,c,d,e}, B={a,c,e,g} and C={b,d,e,g}  then which of the following is true?

  • Question 10
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    If the universal set is U = $$ \displaystyle \left \{ 1^{2},2^{2},3^{2},4^{2},5^{2},6^{2} \right \}  $$   What is the complement of the intersection of set A = $$ \displaystyle \left \{ 2^{2},4^{2},6^{2} \right \}  $$ and set B=$$ \displaystyle \left \{ 2^{2},3^{2},4^{2} \right \}  $$ ?  

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