| 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 | |