Union of Sets

Q. If A = {1, 3, 7, 9, 10} and B = {2, 5, 7, 8, 9, 10}, then find $A\cup B$.

1. {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
2. {1, 2, 3, 5, 6, 7, 8, 9, 10}
3. {1, 2, 3, 4, 5, 6, 7, 8, 9}
4. {1, 2, 3, 5, 7, 8, 9, 10}

Q. Using the Venn diagram, find $A\cup B$.

1. {2, 4, 5, 6}
2. {1, 3, 5, 7, 8}
3. {}
4. {1, 2, 3, 4, 5, 6, 7, 8}

Q. If A = {3, 5, 7, 9} and B = { }, then $A\cup B$ is:

1. A
2. B
3. None of the above
4. B - A

Q.

If A = {8, 16, 24, 32}, B = {5, 25, 125} a R b means a < b, a $\in$ A, b $\in$ B, a R b $\in$ (a, b), find the relation a R b.

1. R = {(8, 25), (8, 125), (8, 5), (16, 25), (24, 25), (32, 5), (32, 25)}

2. R = {(8, 25), (8, 125), (16, 25), (16, 125), (24, 25), (24, 125), (32, 125)}

3. R = {(16, 25), (16, 125), (24, 5), (24, 25), (24, 125), (32, 25), (32, 125)}

4. R = {(16, 5), (16, 125), (16, 25), (24, 25), (24, 5), (24, 125), (32, 25)}

Q. Which among the following probabilites of events is correctly matched with its respective type?

1. $\text{P(A and B)= P(A)}\times \text{P(B)}$,
   Dependent event
2. $\text{P(A and B)= P(A)}\times \text{P(B)}$, Independent event
3. $\text{P(A and B)= P(A)}\times \text{P(B)}$, where
   B knowing that A has occured.
   Independent Event