1). \( \Large A \left(B \cap C\right) \) is equal to
A). \( \Large \left(AB\right)\cap \left(AC\right) \) 
B). \( \Large \left(AB\right)\cup \left(AC\right) \) 
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 
