Universal Set

Q.

Answer the following from the adjoining venn diagram$.$

Write the universal set $U$ by the roster method$.$

Q. A universal set is a set containing elements of all the related sets.

1. True
2. False

Q. Which of the following sets can be the universal set for a set of all natural numbers.

1. Set of all real numbers $R$
2. Set of all integers $I$
3. Set of all whole numbers $W$
4. Set of all rational numbers $Q$

Q. What will be the universal set for the sets $A=\{4,8,9\};B=\{1,4,8\};C=\{1,9\}?$

1. $U=\{1,4,8,9\}$
2. $U=\{1,4,5,7,8,9\}$
3. $U=\{1,4,5,7,8,9,11,12,15\}$
4. $U=\{1,4,5,8\}$

Q. $U$ is the universal set for the sets $X,Y,Z,M,N,O\&P,$ then tap the bubbles having correct expressions.

1. $U\supseteq X$
2. $U\supseteq M$
3. $U\subseteq P$
4. $O\subseteq U$
5. $O\subseteq U$
6. $X\subseteq U$
7. $U\supseteq Z$
8. $U\subseteq N$

Q. Which of the following sets can be the universal set of $A=\{10,20,30,...\}$

1. Set of all Multiples of $5$
2. Set of all even natural numbers
3. Set of all odd natural numbers
4. Set of all multiples of $20$

Q. The universal set of the following sets is
$A$ is set of similar triangles
$B$ is set of right-angled triangles
$C$ is set of equilateral triangles

1. The collection of all angles
2. The collection of all triangles
3. The collection of all straight lines
4. None of these

Q. The universal set of the following sets is
$A$ is set of similar triangles
$B$ is set of right-angled triangles
$C$ is set of equilateral triangles

1. The collection of all angles
2. The collection of all triangles
3. The collection of all straight lines
4. None of these

Q. If $U$ is the universal set of sets $A,B\&C,$ then

1. $U\supseteq A$
2. $U\subseteq C$
3. $U\subseteq B$