Class 11 Math: Sets Important Exam Questions
NexPro Tools Mathematics TeamJune 5, 20266 min read
Preparing for school exams or final CBSE boards requires practicing questions patterned after official grading schemes. We have compiled a list of crucial questions for Class 11 Sets to help you test your mastery.
Exam-Pattern Questions and Answers
Question 1 (EASY)
The number of subsets of a set containing n elements is
- Option 1: 2n
- Option 2: 2n - 1
- Option 3: 2n - 1
- Option 4: nn
Solution Explanation & Steps: (a), if a set contains n elements then there are 2n subsets of the set.
Question 2 (EASY)
Let S = set of all points inside the square, T = the set of points inside the triangle and C = the set of points inside the circle. If the triangle and circle intersect each other and are contained in a square. Then
- Option 1: S ∩ T ∩ C = ϕ
- Option 2: S ∪ T ∪ C = C
- Option 3: S ∪ T ∪ C = S
- Option 4: S ∪ T = S ∩ C
Solution Explanation & Steps: (c) S ∪ T ∪ C = S
Question 3 (EASY)
If nC12 = nC8, then n is equal to
- Option 1: 20
- Option 2: 12
- Option 3: 6
- Option 4: 30
Solution Explanation & Steps: (a), as nC12 = nC8 ⇒ nCn - 12 = nC8 ⇒ n - 12 = 8 ⇒ n = 8 + 12 = 20
Grading Step-Marking Guidelines
Remember that teachers award partial marks for writing down formulas, stating the given variables, and drawing diagrams. Never leave a question blank on an exam. Write down the relevant formulas and initial substitution steps to secure partial credits.
📚 Class 11 Math Resource Hub for Sets:
• 🧮 Interactive Solver: Solve Sets Problems - Verify steps in real-time.
• 📝 Timed Practice Quiz: Take Sets Online Quiz - Test your speed and concepts.
• 📄 Printable Worksheet: Download Sets PDF Worksheet - Interactive problems with answers.
• 📐 Formula Sheet: View Sets Key Equations - Complete revision references.
• 🔄 Next Topic Guide: Relations and Functions Study Notes
• 🎓 Syllabus Overview: Class 11 Mathematics Portal - Access all chapter guides.