PUC Science Class 11 - Karnataka Board PUC Question Bank Solutions for Mathematics

Which of the following collection are sets? Justify your answer:

 The collection of all girls in your class.

Which of the following collection is set? Justify your answer: 

The collection of ten most talented writers of India.

Which of the following collection are sets? Justify your answer: 

 The collection of difficult topics in mathematics.

Which of the following collection are sets? Justify your answer: 

 A collection of novels written by Munshi Prem Chand.

Which of the following collection are sets? Justify your answer: 

The collection of all question in this chapter.

Which of the following collection are sets? Justify your answer:  

The collection of prime integers.

If A = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], then insert the appropriate symbol ∈ or ∉ in each of the following blank space: 

4 ...... A  

If A = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], then insert the appropriate symbol ∈ or ∉ in each of the following blank space: 

−4 ...... A 

If A = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], then insert the appropriate symbol ∈ or ∉ in each of the following blank space: 

 9 ...... A

If A = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], then insert the appropriate symbol ∈ or ∉ in each of the following blank space:  

 0 ...... A

If A = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], then insert the appropriate symbol ∈ or ∉ in each of the following blank space: 

−2 ...... A

If A = {1, 2} and B = {1, 3}, find A × B and B × A.

Describe the following sets in Roster form: 

{x : x is a letter before e in the English alphabet}

If A = {1, 2, 3} and B = {2, 4}, what are A × B, B × A, A × A, B × B and (A × B) ∩ (B × A)?

Describe the following sets in Roster form: 

{x ∈ N : x² < 25}; 

Describe the following sets in Roster form: 

{x ∈ N : x is a prime number, 10 < x < 20};

Describe the following sets in Roster form: 

 {x ∈ N : x = 2n, n ∈ N};

Describe the following sets in Roster form: 

 {x ∈ R : x > x}.

If A and B are two set having 3 elements in common. If n(A) = 5, n(B) = 4, find n(A × B) and n[(A × B) ∩ (B × A)].

Let A and B be two sets. Show that the sets A × B and B × A have elements in common iff the sets A and B have an elements in common.