1. |
A _______ is an ordered collection of objects. |
A. | relation |
B. | function |
C. | set |
D. | proposition |
Answer» C. set |
2. |
Power set of empty set has exactly _____ subset. |
A. | one |
B. | two |
C. | zero |
D. | three |
Answer» A. one |
3. |
The set O of odd positive integers less than 10 can be expressed by ___________ |
A. | {1, 2, 3} |
B. | {1, 3, 5, 7, 9} |
C. | {1, 2, 5, 9} |
D. | {1, 5, 7, 9, 11} |
Answer» B. {1, 3, 5, 7, 9} |
4. |
What is the cardinality of the set of odd positive integers less than 10? |
A. | 10 |
B. | 5 |
C. | 3 |
D. | 20 |
Answer» B. 5 |
5. |
Which of the following two sets are equal? |
A. | a = {1, 2} and b = {1} |
B. | a = {1, 2} and b = {1, 2, 3} |
C. | a = {1, 2, 3} and b = {2, 1, 3} |
D. | a = {1, 2, 4} and b = {1, 2, 3} |
Answer» C. a = {1, 2, 3} and b = {2, 1, 3} |
6. |
The set of positive integers is ________. |
A. | infinite |
B. | finite |
C. | subset |
D. | empty |
Answer» A. infinite |
7. |
What is the Cardinality of the Power set of the set {0, 1, 2}. |
A. | 8 |
B. | 6 |
C. | 7 |
D. | 9 |
Answer» A. 8 |
8. |
The members of the set S = {x x is the square of an integer and x < 100} is _________________. |
A. | {0, 2, 4, 5, 9, 58, 49, 56, 99, 12} |
B. | {0, 1, 4, 9, 16, 25, 36, 49, 64, 81} |
C. | {1, 4, 9, 16, 25, 36, 64, 81, 85, 99} |
D. | {0, 1, 4, 9, 16, 25, 36, 49, 64, 121} |
Answer» B. {0, 1, 4, 9, 16, 25, 36, 49, 64, 81} |
9. |
The union of the sets {1, 2, 5} and {1, 2, 6} is the set _______________. |
A. | {1, 2, 6, 1} |
B. | {1, 2, 5, 6} |
C. | {1, 2, 1, 2} |
D. | {1, 5, 6, 3} |
Answer» B. {1, 2, 5, 6} |
10. |
The intersection of the sets {1, 2, 5} and {1, 2, 6} is the set ___________. |
A. | {1, 2} |
B. | {5, 6} |
C. | {2, 5} |
D. | {1, 6} |
Answer» A. {1, 2} |
11. |
Two sets are called disjoint if there _____________ is the empty set. |
A. | union complement |
B. | difference |
C. | intersection |
D. | complement |
Answer» C. intersection |
12. |
Which of the following two sets are disjoint? |
A. | {1, 3, 5} and {1, 3, 6} |
B. | {1, 2, 3} and {1, 2, 3} |
C. | {1, 3, 5} and {2, 3, 4} |
D. | {1, 3, 5} and {2, 4, 6} |
Answer» D. {1, 3, 5} and {2, 4, 6} |
13. |
The difference of {1, 2, 3} and {1, 2, 5} is the set _________. |
A. | {1} |
B. | {5} |
C. | {3} |
D. | {2} |
Answer» C. {3} |
14. |
The complement of the set A is _____________. |
A. | a – b |
B. | u – a |
C. | a – u |
D. | b – a |
Answer» B. u – a |
15. |
The bit strings for the sets are 1111100000 and 1010101010. The union of these sets is ____________. |
A. | 1010100000 |
B. | 1010101101 |
C. | 1111111100 |
D. | 1111101010 |
Answer» D. 1111101010 |
16. |
The set difference of the set A with null set is ________. |
A. | A |
B. | null |
C. | U |
D. | B |
Answer» A. A |
17. |
If A = {a,b,{a,c}, ∅}, then A - {a,c} is |
A. | {a, b, ∅} |
B. | {b, {a, c}, ∅} |
C. | {c, {b, c}} |
D. | {b, {a, c}, ∅} |
Answer» A. {a, b, ∅} |
18. |
The set (A - B) – C is equal to the set |
A. | (a – b) ∩ c |
B. | (a∪ b) – c |
C. | (a – b) ∪ c |
D. | (a ∪ b) – c |
Answer» D. (a ∪ b) – c |
19. |
Among the integers 1 to 300, the number of integers which are divisible by 3 or 5 is |
A. | 100 |
B. | 120 |
C. | 130 |
D. | 140 |
Answer» D. 140 |
20. |
Using Induction Principle if 13 = 1, 23 = 3 + 5, 33 = 7 + 9 + 11, then |
A. | 43= 15 + 17 + 19 + 21 |
B. | 43= 11 + 13 + 15 + 17 + 19 |
C. | 43 = 13 + 15 + 17 + 19 |
D. | 43 = 13 + 15 + 17 + 19 + 21 |
Answer» C. 43 = 13 + 15 + 17 + 19 |
21. |
By mathematical Induction 2n> n3 |
A. | for n ≥ 1 |
B. | for n ≥ 4 |
C. | for n ≥ 5 |
D. | for n ≥ 10 |
Answer» D. for n ≥ 10 |
22. |
The symmetric difference A ⊕ B is the set |
A. | a – a ∩ b |
B. | (a∪ b) – (a∩ b) |
C. | (a – b) ∩ (b – a) |
D. | a ∪ (b – a) |
Answer» B. (a∪ b) – (a∩ b) |
23. |
If A is the set of students who play crocket, B is the set of students who play football then the set of students who play either football or cricket, but not both, can be symbolically depicted as the set |
A. | a ⊕ b |
B. | a ∪ b |
C. | a – b |
D. | a ∩ b |
Answer» A. a ⊕ b |
24. |
Let A and B be two sets in the same universal set. Then A – B = |
A. | a b |
B. | a b |
C. | a b |
D. | none of these |
Answer» C. a b |
25. |
The number of subsets of a set containing n elements is |
A. | n |
B. | 2n - 1 |
C. | n2 |
D. | 2n |
Answer» D. 2n |