Sets and Relations

165 Maharashtra State Board Class 11 Mathematics practice questions with answers and worked solutions.

About this chapter

Difficulty: 64 easy · 85 moderate · 16 hard.
Most-asked subtopics: Intervals (32), Operations on Sets (27), Types of Relations (26).
Updated 11 August 2026.

Try each question before you open its answer. Sign in, and the ones you get wrong come back in Fix your mistakes until you get them right.

Set · 3 questions
Describe the following sets in Roster form
- #1EasySets and their Representation
- #2EasySets and their Representation
- #3EasySets and their Representation
Set · 4 questions
Describe the following sets in Set-Builder form
- #4EasySets and their Representation
- #5EasySets and their Representation
- #6ModerateSets and their Representation
- #7ModerateSets and their Representation
Set · 2 questions
State the sets using Roster method.
- #8EasySets and their Representation
- #9EasySets and their Representation
Set · 2 questions
State the sets using set-Builder method.
- #10EasySets and their Representation
- #11EasySets and their Representation
#12EasySets and their Representation
Set · 3 questions
Write down the following sets in set builder form
- #13EasySets and their Representation
- #14EasySets and their Representation
- #15EasySets and their Representation
#16ModerateTypes of Sets and Number of Elements
#17HardTypes of Sets and Number of Elements
#18HardTypes of Sets and Number of Elements
#19HardTypes of Sets and Number of Elements
Set · 2 questions
If $A = \{1, 2, 3, 4\}$ , $B = \{3, 4, 5, 6\}$ , $C = \{4, 5, 6, 7, 8\}$ and universal set $X = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\}$ , then verify the following:
- #20EasyTypes of Sets and Number of Elements
- #21EasyTypes of Sets and Number of Elements
Set · 4 questions
If A and B are subsets of the universal set X and $n(X) = 50$ , $n(A) = 35$ , $n(B) = 20$ , $n(A' \cap B') = 5$ , find
- #22ModerateTypes of Sets and Number of Elements
- #23ModerateTypes of Sets and Number of Elements
- #24ModerateTypes of Sets and Number of Elements
- #25ModerateTypes of Sets and Number of Elements
Set · 2 questions
In a class of 200 students who appeared certain examinations, 35 students failed in CET, 40 in NEET and 40 in JEE, 20 failed in CET and NEET, 17 in NEET and JEE, 15 in CET and JEE and 5 failed in all three examinations. Find how many students,
- #26HardTypes of Sets and Number of Elements
- #27HardTypes of Sets and Number of Elements
Set · 3 questions
From amongst 2000 literate individuals of a town, 70% read Marathi newspapers, 50% read English newspapers and 32.5% read both Marathi and English newspapers. Find the number of individuals who read.
- #28ModerateTypes of Sets and Number of Elements
- #29ModerateTypes of Sets and Number of Elements
- #30ModerateTypes of Sets and Number of Elements
#31ModerateTypes of Sets and Number of Elements
Set · 3 questions
There are 260 persons with a skin disorder. If 150 had been exposed to the chemical A, 74 to the chemical B, and 36 to both chemicals A and B, find the number of persons exposed to
- #32ModerateTypes of Sets and Number of Elements
- #33ModerateTypes of Sets and Number of Elements
- #34ModerateTypes of Sets and Number of Elements
#35EasyTypes of Sets and Number of Elements
#36HardTypes of Sets and Number of Elements
#37ModerateTypes of Sets and Number of Elements
#38ModerateTypes of Sets and Number of Elements
#39ModerateTypes of Sets and Number of Elements
#40ModerateTypes of Sets and Number of Elements
#41EasyOperations on Sets
#42ModerateOperations on Sets
#43EasyOperations on Sets
#44ModerateOperations on Sets
#45ModerateOperations on Sets
#46HardOperations on Sets
Set · 2 questions
If $A = \{x/6x^2 + x - 15 = 0\}$ , $B = \{x/2x^2 - 5x - 3 = 0\}$ , $C = \{x/2x^2 - x - 3 = 0\}$ then find
- #47ModerateOperations on Sets
- #48ModerateOperations on Sets
#49ModerateOperations on Sets
Set · 1 question
If $A = \{1, 2, 3, 4\}$ , $B = \{3, 4, 5, 6\}$ , $C = \{4, 5, 6, 7, 8\}$ and universal set $X = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\}$ , then verify the following:
- #50ModerateOperations on Sets

Showing the first 50 of 165.

See all 165 questions

Send them this chapter's questions. It's free for them too.

Sets and Relations

Studying this with friends?

More chapters in this subject