Super Set

Q.

If U = {1, 2, 3, 4, 5}, A = {2, 3, 4}, B = {1, 4, 5}, then which of the following statements are true?

1. B – A = A’

2. $(A\cup B{)}^{\prime }$= { }

3. $AUB\supset B$

4. All of the above

Q. Write the following rational numbers according to convention.

(1) $\frac{5}{-1}$
(2) $\frac{-5}{-1}$
(3) $\frac{2}{-9}$
(4) $\frac{-2}{-9}$
(5) $\frac{0}{-4}$
(6) $\frac{11}{-8}$

Q. If $A$ is subset of $B$ and $B$ is a subset of $C$, then prove that $A$ is subset of $C$.

Q. If there are 2 sets namely: a set of integers and a set of whole numbers, then out of the two sets, the set of whole numbers is the super set.

1. True
2. False

Q. Where are binary numbers used other than computer programming? Also mention their uses in the ancient times.

Q. $\{a,b,c,d\}\subseteq \{a,b,c\}$

1. False
2. True

Q. Which of the following sets is a universal set for the other four sets?
(a) The set of even natural numbers
(b) The set of odd natural numbers
(c) The set of natural numbers
(d) The set of negative numbers
(e) The set of integers

1. $\left(e\right)$
2. $\left(a\right)$
3. $\left(b\right)$
4. $\left(c\right)$

Q.

If A is the set of natural numbers and B is the set of whole numbers, then

1. A is the superset of B

2. B is the superset of A

3. A and B are disjoint

4. None of the above

Q. When set A is the subset of set B, then set B is called the superset of A.

1. True
2. False

Q.

What are real numbers?

Q. $C\supset E,B\cap E=\varphi$

Q. The set of whole numbers is a superset of the set of natural numbers.

1. False
2. True

Q.

Integers comprise of

1. All the whole numbers

2. All the natural numbers

3. All Fractions

4. All the above

Q. Which of the following is true?

1. Super set is another name for Power set
2. Super set is a subset of given set
3. Super set is a set from which all subsets are obtained
4. None of the above

Q. The set of whole numbers is a superset of the set of natural numbers.

1. False
2. True