State the sets representing by the shaded portion of following venn$-$diagram :
View full solution →Question types
Sets question types
193 questions across 6 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.
193
Questions
6
Question groups
5
Question types
01
[1 Mark Question Answer]
55 Q→02[2 Mark Question Answer]
35 Q→03[3 marks sum]
33 Q→04[4 marks sum]
29 Q→05[5 marks sum]
20 Q→06TRUE / FALSE
21 Q→Sample Questions
Sets questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
State the sets representing by the shaded portion of following venn$-$diagram :
View full solution →State the sets representing by the shaded portion of following venn$-$diagram :
View full solution →Use the given Venn$-$diagram to find $:A ∪ B$
View full solution →Use the given Venn$-$diagram to find$ \ :A ∩ B$
View full solution →In the given diagram, shade the region which represents the set given underneath the diagrams$: (P ∩ Q)'$
View full solution →In the given diagram, shade the region which represents the set given underneath the diagrams $: (A ∩ B)'$
View full solution →In the given diagram, shade the region which represents the set given underneath the diagrams $: (B - A)'$
View full solution →Two sets $A$ and $B$ are such that $A ∩ B = \Phi $. Draw a venn$-$diagram to show the relationship between $A$ and $ B$ . Shade the region representing : $B ∩ A'$
View full solution →Two sets $A $ and $B$ are such that $A ∩ B = \Phi $. Draw a venn$-$diagram to show the relationship between $A$ and $B$. Shade the region representing : $B - A$
View full solution →If $A = \{6, 7, 8, 9\}, B = \{4, 6, 8,10\}$ and $C = \{x : x \in N : 2 < x \leq 7\}$; Find: $B - (A ∩ C)$.
View full solution →If $A = \{6, 7, 8, 9\}, B = \{4, 6, 8,10\}$ and $C = \{x : x ∈ N : 2 < x ≤ 7\} $; Find: $B - (A - C)$.
View full solution →Given $A = \{0, 1, 2, 4, 5\}, B = \{0, 2, 4, 6, 8\}$ and $C = \{0, 3, 6, 9\}$. Show that $A ∩ (B ∩ C) = (A ∩ B) ∩ C$ i.e. the intersection of sets is associative.
View full solution →If $A = \{5, 6, 7, 8, 9\}, B = \{x : 3 < x < 8$ and $x \in W\}$ and $C = \{x : x \leq 5$ and $x \in N\}$. Find: $A ∩ B$ and $(A ∩ B) ∩ C$
View full solution →If $A = \{5, 6, 7, 8, 9\}, B = \{x : 3 < x < 8$ and $x \in W\}$ and $C = \{x : x \leq 5$ and $x \in N\}$. Find: $B ∪ C$ and $A ∪ (B ∪ C)$
View full solution →If $A = \{1, 2, 3, 4, 5\}B = \{2, 4, 6, 8\}$ and $C = \{3, 4, 5, 6\}$ Verify : $A - (B ∩ C) = (A - B) ∪ (A - C)$
View full solution →If$ A = \{1, 2, 3, 4, 5\}B = \{2, 4, 6, 8\}$ and $C = \{3, 4, 5, 6\}$ Verify :$ A - (B ∪ C) = (A - B) ∩ (A - C)$
View full solution →If $A = \{5, 6, 7, 8, 9\}, B = \{x : 3 < x < 8$ and $x \in W\}$ and $C = \{x : x \leq 5$ and $x \in N\}$. Find: $B ∩ C$ and $A ∩ (B ∩ C)$ Is $(A ∪ B) ∪ C = A ∪ (B ∪ C)$? Is $(A ∩ B) ∩ C = A ∩ (B ∩ C)$?
View full solution →Given the universal set $=\{x : x \in N$ and $x < 20\}$, find: $B = \{y : y = 2n + 3, n \in N\}$
View full solution →State, if the following pair of a set is equal or not : $A =\{x : x \in N, x < 3\}$ and $B =\{y : y^2 - 3y + 2 = 0\}$
View full solution →Use the given diagram to find : $(i)\ A ∪ (B ∩ C)\ (ii)\ B - (A - C)\ (iii)\ A - B(iv) A ∩ B'$ Is $A ∩ B' = A - B$?
View full solution →From the given diagram, find : $(i)\ A’\ (ii)\ B’\ (iii)\ A' ∪ B'\ (iv)\ (A ∩ B)'$
Is $A' ∪ B' = (A ∩ B)'$ ?
Also, verify if $A' ∪ B' = (A ∩ B)'.$
View full solution →Is $A' ∪ B' = (A ∩ B)'$ ?
Also, verify if $A' ∪ B' = (A ∩ B)'.$
From the given diagram, find : $(i) (A ∪ B) - C(ii) B - (A ∩ C)\ (iii) (B ∩ C) ∪ A$ Verify : $A - (B ∩ C) = (A - B) ∪ (A - C)$
View full solution →Given $A = \{x : \in N :< 6\}, B = \{3, 6, 9\}$ and $C \{x \in N : 2x - 5 \leq 8\}.$ show that : $A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)$
View full solution →Given $A = \{x : \in N :< 6\}, B = \{3, 6, 9\}$ and $C = \{x \in N : 2x - 5 \leq 8\}$. show that : $A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C)$
View full solution →Given, $A = \{$Quadrilaterals$\}, B = \{$Rectangles$\}, C = \{$Squares$\}, D= \{$Rhombuses$\}.$ State the following statement is true or false. Give reasons. $ A ⊇ B ⊇ D$
View full solution →Given, $A = \{$Quadrilaterals$\}, B = \{$Rectangles$\}, C = \{$Squares$\}, D= \{$Rhombuses$\}$. State the following statement is true or false. Give reasons. $B ⊇ C$
View full solution →Given, $A = \{$Quadrilaterals$\}, B = \{$Rectangles$\}, C = \{$Squares$\}, D= \{$Rhombuses$\}$. State the following statement is true or false. Give reasons. $D ⊂ A$
View full solution →Given, $A = \{$Quadrilaterals$\}, B = \{$Rectangles$\}, C = \{$Squares$\}, D= \{$Rhombuses$\}$. State the following statement is true or false. Give reasons. $C ⊆ B ⊆ A$
View full solution →Given, $A = \{$Quadrilaterals$\}, B = \{$Rectangles$\}, C = \{$Squares$\}, D= \{$Rhombuses$\}$. State the following statement is true or false. Give reasons. $D ⊂ B$
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