Question

Can you make a objective type question paper for me from class 11 math ch sets

Answer 1

Sure! Here’s a sample objective-type question paper based on Class 11 Mathematics, specifically focusing on the topic of Sets. You can use this as a practice paper or for study purposes.

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### Class 11 Mathematics: Sets - Objective Type Question Paper

**Total Marks: 40**
**Time: 1 Hour**

#### Instructions:
- All questions are compulsory.
- Each question carries 1 mark.
- Write your answers in the space provided.

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#### Multiple Choice Questions (MCQs)

1. Let \( A = \{1, 2, 3\} \) and \( B = \{3, 4, 5\} \). What is \( A \cap B \)?
a) \( \{1, 2\} \)
b) \( \{3\} \)
c) \( \{4, 5\} \)
d) \( \{1, 2, 3, 4, 5\} \)

2. If \( U = \{1, 2, 3, 4, 5, 6\} \) is the universal set and \( A = \{2, 3, 4\} \), what is \( A' \) (the complement of A)?
a) \( \{1, 2, 3\} \)
b) \( \{1, 4, 5, 6\} \)
c) \( \{1, 5, 6\} \)
d) \( \{2, 3, 4, 5, 6\} \)

3. The number of subsets of a set with \( n \) elements is:
a) \( n^2 \)
b) \( 2^n \)
c) \( n! \)
d) \( n + 1 \)

4. If \( |A| = 4 \) and \( |B| = 5 \), what is \( |A \cup B| \) if \( A \) and \( B \) are disjoint sets?
a) 9
b) 20
c) 1
d) 4

5. Which of the following is not a valid set?
a) \( A = \{x : x \text{ is a prime number}\} \
b) \( B = \{2, 4, 6, 8\} \)
c) \( C = \{x : x \text{ is a color}\} \)
d) \( D = \{x : x \text{ is a male and a female}\} \)

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#### True/False Questions

6. A null set is a subset of every set.
a) True
b) False

7. The intersection of two sets is always a superset of both sets.
a) True
b) False

8. The set of all subsets of a set is called its power set.
a) True
b) False

9. The union of two sets contains all elements from both sets, without duplication.
a) True
b) False

10. For any set \( A \), \( A \subseteq A \) is always true.
a) True
b) False

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#### Fill in the Blanks

11. The number of elements in the power set of a set containing \( n \) elements is __________.

12. If \( A = \{2, 4, 6\} \) and \( B = \{1, 2, 3\} \), then \( A - B \) is __________.

13. The notation \( |A| \) represents the __________ of set \( A \).

14. Two sets are said to be __________ if they have no elements in common.

15. The set of all possible outputs from a function is known as the __________ of the function.

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### Answer Sheet

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Feel free to modify any questions or sections as per your requirements!