Choose the correct answer from the given alternatives.
1. The set from the following collections.
(i) P = {x/ x is the intelligent student of X Class}
(ii) Q = {x/ x is an even prime number}
(iii) R = {x/ x is a natural number less than 1}
(iv) S = {y/ y is a good book in the school library}
A) (i), (ii) B) (ii), (iii) C) (iii), (iv) D) (i), (iv)
2. If A = {1, 2, 3, 4} which of the following is not correct?
(i) 4 ∊ A (ii) 5 ∊ A (iii) A ∊ 5 (iv) 5 ∊ A
A) (i), (ii) B) (ii), (iii) C) (iii), (iv) D) (i), (iv)
3. The set - builder form of the set A = {2, 4, 8, 16} is
(i) {x/ x = 2y; y ∊ N, y < 5} (ii) {x/ x is a factor of 16 other than 1}
(iii) {x/ x = 2y; y ∊ N, y < 5} (iv) {x/ x is a factor of 16}
A) Only (i) B) Only (iii) C) (i), (iii) D) (ii), (iii)
4. Null set is represented by
(i) ∅ (ii) {0} (iii) { } (iv) {∅}
A) (i) B) (i), (ii) C) (i), (iii) D) (i), (iv)
5. Which of the following statements are not true?
(i) The Cardinal number of a null set is zero.
(ii) The Cardinal number of singleton set is one.
(iii) The Cardinal number of a finite set is always a natural number.
(iv) The Cardinal number of a finite set is always a whole number.
A) (i), (ii) B) Only (iii) C) Only (iv) D) (iii), (iv)
6. A = {1, 2, 3}, B = {1, 2, 3, 4, 5}, C = {3, 4, 5}. The correct statement among the following is
(i) A ⊂ B (ii) B ⊂ C (iii) A ⊂ C (iv) C ⊂ B
A) (i), (ii) B) (ii), (iii) C) (i), (iv) D) All the four
7. The equal sets among the following
(i) A = {1, 8, 27, 64}
(ii) B = {x/ x is the cube of the first four natural numbers}
(iii) C = {x/ x = y3; y ∊ N, y < 5}
(iv) D = {x/ x = y3; y ∊ N, y ≤ 4}
A) Only (i) B) (i), (ii) C) (i), (ii), (iii) D) (i), (ii), (iii), (iv)
8. The disjoint sets among the following
(i) A - B (ii) B - A (iii) A ⋂ B (iv) B ⋂ A
A) (i), (ii) only B) (ii), (iii) only C) (iii), (iv) only D) (i), (ii), (iii)
9. Which of the following is not true?
(i) A ⋃ B = B ⋃ A (ii) A ⋂ B = B ⋂ A (iii) A- B = B - A
A) Only (i) B) Only (ii) C) Only (iii) D) (i), (iii)
10. The way of representing two disjoint sets A & B using Venn diagram is
11. If A ⊂ B then the correct statement from the following.
(i) A ⋃ B = A (ii) A ⋃ B = B (iii) A ⋂ B = A (iv) A ⋂ B = B
A) (i), (iii) B) (ii), (iii) C) (i), (iv) D) (ii), (iv)
12. Which of the following are not correct?
A) A B = {x/ x ∈ A or x ∈ B} B) A - B = {x/ x ∈ A and x ∉ B}
C) A B = {x/ x ∈ A and x ∈ B} D) A - B = {x/ x ∈ A or x ∉ B}
13. A is the set of factors of 10.
B is the set of factors of 100.
C is the set of multiples of 10.
Which of the following statements is true?
A) A ⊂ B B) A ⊂ C C) B ⊂ C D) C ⊂ A
ANSWERS: 1-B; 2-C; 3-D; 4-C; 5-B; 6-C; 7-D; 8-D; 9-C; 10-C; 11-B; 12-D; 13-A.
