Questions

Sets, Relations and Functions

$$p\cap (q\cup r)=?$$

Sets, Relations and Functions

Which of the following are sets? Justify the answer. Justify your answer The collection of all even integers.

Sets, Relations and Functions

State whether the following statement is true or false. $$1\in \{1, 2, 3\}$$.

Sets, Relations and Functions

If $$B = \{y | y^2 = 36\}$$ then the set $$B$$ is a ______ set.

Sets, Relations and Functions

If $$C = \{p|p \in I, p^3 = -8\}$$ then the set $$C$$ is

Sets, Relations and Functions

How many elements set of even prime numbers contains?

Sets, Relations and Functions

Say true or false. The collection of rich people in your district is an example of a set.

Sets, Relations and Functions

Say true or false: The sets $$A = \{b, c, d, e \}$$ and $$B = \{x : x$$ $$\text {is a letter in the word "master"} \}$$ are joint.

Sets, Relations and Functions

State true or false. Given universal set= $$\displaystyle =\left \{ -6,-5\frac{3}{4}, -\sqrt{4}, -\frac{3}{5}, -\frac{3}{8}, 0, \frac{4}{5}, 1, 1\frac{2}{3}, \sqrt{8}, 3.01, \pi , 8.47 \right \}$$ From the given set, the set of integers is $$\displaystyle \left \{ -6,-\sqrt{4}, 0,1 \right \}$$.

Sets, Relations and Functions

If $$ A $$ and $$B$$ are subsets of a set $$X$$, then what is $$(A\cap (X-B))\cup B$$ equal to

Sets, Relations and Functions

Let the universal set U, be a set all students of your school, A is set of boys. B is the set of girls C is the set of students participating in sports. Describe the following set in words and represent them by the Venn diagram. $$A \cup (B \cap C)$$

Probability

If $$P(A\cup B)=\dfrac {2}{3}, P(A\cap B)=\dfrac {1}{6}$$ and $$P(A)=\dfrac {1}{3}$$, then

Sets, Relations and Functions

If X $$=$$ (multiples of 2), Y $$=$$ (multiples of 5), Z $$=$$ (multiples of 10), then $$X \cap ( Y \cap Z )$$ is equal to

Sets, Relations and Functions

If A = {1, 2, 3} B = {4, 5}, then find A - B.

Sets, Relations and Functions

If $$X$$ and $$Y$$ are two sets, $$X\cap { \left( Y\cup X \right) }^{ C }$$ is equal to

Sets, Relations and Functions

The set $$\left( A\cap { B }^{ C } \right) ^{ C }\cup \left( B\cap C \right) $$ is equal to

Sets, Relations and Functions

Out of 800 boys in a school 224 played cricket, 240 played hockey and 236 played basketball. Of the total 64 played both basketball and hockey, 80 played cricket and basketball and 40 played cricket and hockey, 24 players all the three games. The number of boys who did not play any game is

Sets, Relations and Functions

If A and B are disjoint then $$\displaystyle \left ( A\cap B \right ){}'=$$_______

Sets, Relations and Functions

In a survey, it was fond that $$65$$% of the people watched news on TV, $$40$$% read in newspaper, $$25$$% read newspaper and watched TV. What percentage of people neither watched TV nor read newspaper?

Sets, Relations and Functions

If $$A$$ and $$B$$ are subsets of $$U$$ such that $$n(U) = 700, n(A) = 200, n(B) = 300, n$$$$\displaystyle \left ( A\cap B \right )$$ $$= 100$$, then find $$n\displaystyle \left ( A'\cap B' \right )$$

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