Question 2 :
Two finite sets have m and n elements. The total number of subsets of the first set is 56 more than the total number of subsets of the second set. Find the values of m and n.
Question 3 :
From among the given alternatives select the one in which the set of numbers is most like the set of numbers given in the question.<br>Given set $$:$$ $$(7, 15, 31)$$<br>
Question 5 :
Given the set $$S$$ whose elements are zero and the even integers, positive and negative. Of the five operations applied to any pair of elements : $$(1)$$ addition $$(2)$$ subtraction $$(3)$$ multiplication $$(4)$$ division $$(5)$$ finding the arithmetic mean (average), those operations that yield only elements of $$S$$ are
Question 6 :
The number of elements of the set $$\left \{ x:x\in Z,x^{2}=1 \right \}$$ is :
Question 7 :
If $$n(A) = 65, n(B) = 32$$ and $$\displaystyle n\left ( A\cap B \right )=14 $$, then $$\displaystyle n\left ( A\Delta  B \right ) $$ equals
Question 8 :
Classify the following set as 'singleton' or 'empty':  $$D = \{d | d \in N, d^2 \le 0\}$$
Question 9 :
Given $$\displaystyle A= \left \{ 1,2,3 \right \}, B= \left \{ 3,4 \right \}, C= \left \{ 4,5,6 \right \}$$find:$$\displaystyle A\cup \left ( B\cup C \right )$$
Question 10 :
Let $$A =$$ {$$\phi$$ , {$$\phi$$},$$1$$, {$$1$$,$$\phi$$ },$$7$$}. Which of the following is true?<br/><br/>
Question 11 :
<p>Let $$n$$ be a fixed positive integer. Let a relation $$R$$ defined on $$I$$ (the set of all integers) as follows: $$aRb$$ iff $$n/(a-b)$$, that is, iff $$a-b$$ is divisible by $$n$$, then, the relation $$R$$ is</p>
Question 12 :
$$25$$ people for applied for programme $$A$$, $$50$$ people for programme $$B$$, $$10$$ people for both. So number of employee applied only for $$A$$ is
Question 13 :
In a certain office, $$\dfrac{1}{3}$$ of workers are women,$$\dfrac{1}{2}$$of the women are married and$$\dfrac{1}{3}$$of the marriedwomen have children. If$$\dfrac{3}{4}$$of the menare married and$$\dfrac{2}{3}$$of the marriedmen have children, what part ofthe workers are without children ?
Question 14 :
If $$N_{ a }={ \left\{ an:n\epsilon N \right\}  }, then N_{3} \cap N_{4}$$ is equal to<br/>
Question 15 :
If A has 5 elements and B has 8 elements such that$$\displaystyle A\subset B,$$ then the number of elements in$$\displaystyle A\cap B,$$ and$$\displaystyle A\cup B,$$ are respectively :
Question 16 :
Given $$P(A \cup B)=0.6, P(A\cap B)=0.2$$, the probability of exactly one of the event occurs is
Question 17 :
Let $$A=\left\{ 1,2,3,4 \right\} $$ and $$B=\left\{ 2,3,4,5,6 \right\} $$ then $$A \triangle\ B$$ is equal to 
Question 18 :
A set contains n elements. The power set of this set contains
Question 19 :
If $$A=\left\{ 2,4\left\{ 5,6 \right\} ,8 \right\} $$, then which one of the following statements is not correct?