| 1. |
The objects constituting a set are called |
| A. | estimates |
| B. | elements |
| C. | set objects |
| D. | none of these |
| Answer» B. elements | |
| 2. |
Who is regarded as the founder of theory of sets? |
| A. | adam smith |
| B. | karl frederich gauss |
| C. | george cantor |
| D. | euller |
| Answer» C. george cantor | |
| 3. |
A collection of well-defined distinct objects thought of as a whole is called |
| A. | union |
| B. | derivative |
| C. | set |
| D. | integral |
| Answer» C. set | |
| 4. |
“No two elements of a set are identical”. This statement is |
| A. | always true |
| B. | sometimes true |
| C. | not true |
| D. | all of the above is possible |
| Answer» A. always true | |
| 5. |
A set containing no element is called |
| A. | null set |
| B. | empty set |
| C. | void set |
| D. | all the above |
| Answer» D. all the above | |
| 6. |
A set containing only one element is termed as |
| A. | unit set |
| B. | singleton set |
| C. | both (a) and (b) |
| D. | none of these |
| Answer» C. both (a) and (b) | |
| 7. |
A set of totality of elements from all possible sets is called |
| A. | union set |
| B. | intersection set |
| C. | universal set |
| D. | unit set |
| Answer» C. universal set | |
| 8. |
If two sets contain the same distinct elements, then they are called |
| A. | equal sets |
| B. | unequal sets |
| C. | equivalent sets |
| D. | all the above |
| Answer» A. equal sets | |
| 9. |
If two sets contain same number of distinct elements but not the same elements are called |
| A. | equal sets |
| B. | unequal sets |
| C. | equivalent sets |
| D. | all the above |
| Answer» C. equivalent sets | |
| 10. |
Sets and set operations can be represented by drawing diagrams termed as |
| A. | pie diagrams |
| B. | venn diagrams |
| C. | histogram |
| D. | ogives |
| Answer» B. venn diagrams | |
| 11. |
If every element of a set B is also an element of A, then |
| A. | a is a subset of b |
| B. | b is a subset of a |
| C. | a is not a subset of b |
| D. | b is not a subset of a |
| Answer» B. b is a subset of a | |
| 12. |
In Venn diagram, the universal set is represented by |
| A. | points within a rectangle |
| B. | points within a circle |
| C. | both (a) and (b) |
| D. | none of these |
| Answer» A. points within a rectangle | |
| 13. |
“Null set is a proper subset of all the non-null sets”. This statement is |
| A. | always true |
| B. | sometimes true |
| C. | never true |
| D. | true subject to some conditions |
| Answer» A. always true | |
| 14. |
Union of A with A, that is, A U A = |
| A. | complement of a |
| B. | a itself |
| C. | cannot be determined |
| D. | none of these |
| Answer» B. a itself | |
| 15. |
Union of A and the universal set is |
| A. | a |
| B. | a’ |
| C. | universal set |
| D. | none of these |
| Answer» C. universal set | |
| 16. |
Union of A and a null set is equal to |
| A. | intersection of a and null set |
| B. | null set |
| C. | both (a) and (b) |
| D. | a |
| Answer» D. a | |
| 17. |
Union of A with B is same as union of B with A, that is, A U B = B U A is termed as |
| A. | associative law of union |
| B. | cumulative law of union |
| C. | reflective law |
| D. | all the above |
| Answer» B. cumulative law of union | |
| 18. |
The associative law of union is |
| A. | a u (b u c) = (a u b) u c = a u b u c |
| B. | a u b = b u a |
| C. | a u b = a u c |
| D. | b u c = b u a |
| Answer» A. a u (b u c) = (a u b) u c = a u b u c | |
| 19. |
If B is a subset of A, then A U B = |
| A. | b |
| B. | a |
| C. | intersection of a and b |
| D. | none of these |
| Answer» B. a | |
| 20. |
If a set C contain all the elements which are present in both the sets A and B, then set C is called |
| A. | union of a and b |
| B. | intersection of a and b |
| C. | complement of a |
| D. | complement of b |
| Answer» B. intersection of a and b | |
| 21. |
If two sets do not have any common element, then they are called |
| A. | complement sets |
| B. | joint sets |
| C. | disjoint sets |
| D. | none of these |
| Answer» C. disjoint sets | |
| 22. |
A set containing all the elements of the universal set except those of set A is called |
| A. | complement of set a |
| B. | complement of universal set |
| C. | union of a and universal set |
| D. | universal set itself |
| Answer» A. complement of set a | |
| 23. |
The set of all elements belonging to A but not to B is |
| A. | b – a |
| B. | a – b |
| C. | a’ |
| D. | b’ |
| Answer» B. a – b | |
| 24. |
The set of all subsets of a set A is called |
| A. | power set of a |
| B. | complement of a |
| C. | both (a) and (b) |
| D. | none of these |
| Answer» A. power set of a | |
| 25. |
Any number raise to the power zero is always equal to |
| A. | zero |
| B. | one |
| C. | two |
| D. | that number itself |
| Answer» B. one | |
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