Universal Set

Q.

If U = $\{x:x=n^2,n\in N,n\le 5\}$, then the subset A = {even numbers} is

1. Set of drops in an ocean is an infinite set

2. A set which does not contain any element is called the empty set.

3. If a set is said to be finite, then number of elements in that set is always a natural number.

4. A set which is empty or consists of a definite number of elements is called finite set , otherwise, the set is called infinite set.

Q.

If A = {x: x is prime number}, then which of the following can be the Universal set of A?

1. A

2. B

3. A ∩ B

4. C

Q. If $X=49,51,53,55,....$ and $Y=45,47,49,51$ are subsets of a universal set $U$, which of the following could describe $U$?

1. $\text{U}=\{45,49,55\}$
2. $\text{U}=\{45,47,49,51,53,55,........\}$
3. None of these
4. $\text{U}=\{45,47,49,51,53,55\}$

Q.

If ∪ = {2, 4, 6, 8, 10, 12, 14, 17}, where ∪ is Universal set

and some set A = {1, 4, 6, 9, 11, 12}

The set A^C is

1. {1, 2, 8, 10, 14, 17}

2. {2, 8, 10, 14, 17}

3. {2, 8, 10, 14, 17}

4. Can't be determined

Q. By what number should 6³ be divided so that the quotient may be equal to 3⁴?

Q. If $X=49,51,53,55,....$ and $Y=45,47,49,51$ are subsets of a universal set $U$, which of the following could describe $U$?

1. $\text{U}=\{45,47,49,51,53,55,........\}$
2. $\text{U}=\{45,47,49,51,53,55\}$
3. $\text{U}=\{45,49,55\}$
4. None of these

Q.

If A = {4, 5, 6, 7, 8} and B = {6, 8, 10, 12}, find :
(i) A∪B
(ii) A∩B
(iii) A-B
(iv) B-A