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 |
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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 |
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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 |
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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 |
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5). The group of beautiful girls is:
A). a null set |
B). a finite set |
C). a singleton set |
D). not a set |
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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 |
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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 |
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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). \( \Large N_{4} \) |
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9). The relation "Congruence modulo m" is:
A). reflexive only |
B). transitive only |
C). symmetric only |
D). an equivalence relation |
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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 |
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