1). \( \Large A- \left(B \cap C\right) \) is equal to
| A). \( \Large \left(A-B\right)\cap \left(A-C\right) \) |
| B). \( \Large \left(A-B\right)\cup \left(A-C\right) \) |
| C). \( \Large \left(A\cap B\right)-C \) |
| D). None of these |
|
2). If A = \( \Large \{ x : x^{2} = 1 \} \) and B \( \Large \{ x : x^{4} = 1 \} \), then \( \Large A \cup B \) is equal to:
| A). {i, -i} |
| B). {-1, 1} |
| C). {-1, 1, i. -i} |
| D). None of these |
|
3). If A = \( \Large \{ x : x = 4n+1, 2 \le n \le 5 \} \) then number of subsets of A is:
| A). 16 |
| B). 15 |
| C). 4 |
| D). none of these |
|
4). Let R and S be two relations on a set A. Then which is not correct?
| A). R and S are transitive, then R u S is also transitive. |
| B). R and S are transitive, then R n S is also transitive. |
| C). R and S are reflexive, then R n S is also reflexive. |
| D). R and S are symmetric, then R U S is also symmetric |
|
5). The group of beautiful girls is:
| A). a null set |
| B). a finite set |
| C). a singleton set |
| D). not a set |
|
6). R is a relation over the set of real numbers and it is given by \( \Large nm \ge 0 \). Then R is:
| A). symmetric and transitive |
| B). reflexive and symmetric |
| C). a partial order relation |
| D). an equivalence relation |
|
7). In a city of 55 students, the number of students studying different subjects are 23 in mathematics, 24 in physics, 19 in chemistry, 12 in mathematics and physics, 9 in mathematics and chemistry, 7 in physics and chemistry and 4 in all the three subjects. The number of students who have taken exactly one subject is:
| A). 6 |
| B). 9 |
| C). 7 |
| D). all of these |
|
8). If \( \Large N_{a}=\{ an : n \epsilon N \} \), then \( \Large N_{3} \cap N_{4} \) is equal to:
| A). \( \Large N_{7} \) |
| B). \( \Large N_{12} \) |
| C). \( \Large N_{3} \) |
| D). \( \Large N_{4} \) |
|
9). The relation "Congruence modulo m" is:
| A). reflexive only |
| B). transitive only |
| C). symmetric only |
| D). an equivalence relation |
|
10). Set A has 3 elements and set B has 4 elements. The number of injections that can be defined from A to B is:
| A). 144 |
| B). 12 |
| C). 24 |
| D). 30 |
|
