Venn Diagrams

Q. Out of 260 students in a class of a school, 135 like tea, 110 like coffee and 80 like milk, 35 of these like both tea and coffee, 30 like both tea and milk, 20 like both coffee and milk. Also, each student likes atleast one of the three drinks. How many students like all the three drinks?

1. 30
2. 15
3. 20
4. 25

Q. From the given Venn-diagram, the set corresponding to $A-B$ is?

1. {3, 1}
2. {3, 4, 5}
3. {1}
4. None of these

Q.

Consider the above Venn-diagram. The set $\{2,9,10\}$ represents ___.

1. $A\cup B$

2. A - B

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

4. $(A\cap B{)}^{\prime }$

Q. The number of students who like neither tennis nor hockey is $25$.

1. True
2. False

Q. Identify the Venn diagram for B'.

1. 
2. 
3. 
4. 

Q.

How would we represent the set $\{2,3,4,5,7,8,9,10\}$ using the given venn diagram?

[2 Marks]

Q. If set C is the super set of sets A and B and A $\subset$ B then prove that (C $-$ B) $\subset$ (C$-$A).

Q. The shaded region in the adjoint diagram represents

1. A – B
2. A'
3. B'
4. B – A

Q. The shaded portion in the figure represents $(A\cup B{)}^{\prime }$.

1. False
2. True

Q. Verify (A ∩B)′ = A′ ∪ B′ using Venn diagrams.$\left[5\right]$

Q.

If A = {9, e, i, o, u} and B = (a, b, c, d) . Find the union of A and B.

Q. The shaded portion in the figure represents $(A\cup B{)}^{\prime }$.

1. False
2. True

Q. Pair the number of elements in the corresponding sets for the following venn diagram.

1. ${\text{A}}^{{}^{\prime }}$
2. ${\text{B}}^{{}^{\prime }}$
3. $\text{U}$
4. 10
5. 6
6. 5

Q.

In the below Venn-diagram, the set $\{2,3,4,5,7,8,9,10\}$ represents the set ___.

1. $A\cup B$

2. A - B

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

4. $(A\cap B{)}^{\prime }$

Q. The shaded region in the figure represents $A-B$.

1. True
2. False

Q. (a, b) is a set, whose elements are a and b.

1. True
2. False

Q. The shaded portion in the figure represents $A\cap B$.

1. False
2. True

Q.

Identify the shaded region in the figure, where $A$ and $B$ are two sets represented by the circles and $U$ is the universal set, which is represented by the rectangle.

1. $B-A$

2. $B-(A\cup B)$

3. $A-(A\cup B)$

4. $U-B^{\prime }-(A\cap B)$

Q.

The set represented by the shaded portion of the below Venn - diagram is ___.

1. $B^{\prime }$

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

3. $B^{\prime }\cap (A\cup C{)}^{\prime }$

4. $A\cup B\cup C$

Q. The number of students who like neither tennis nor hockey is $25$.

1. False
2. True