# GATE CSE 1996

 Question 1
Let A and B be sets and let $A^c$ and $B^c$ denote the complements of the sets A and B. The set $(A-B) \cup (B-A) \cup (A \cap B)$ is equal to
 A $A \cup B$ B $A^c \cup B^c$ C $A \cap B$ D $A^c \cap B^c$
Discrete Mathematics   Set Theory
Question 1 Explanation:
 Question 2
Let $X = \{2, 3, 6, 12, 24\}$, Let $\leq$ be the partial order defined by $X \leq Y$ if x divides y. Number of edges in the Hasse diagram of $(X, \leq)$ is
 A 3 B 4 C 9 D None of the above
Discrete Mathematics   Set Theory
Question 2 Explanation:

 Question 3
Suppose X and Y are sets and |X| and |Y| are their respective cardinality. It is given that there are exactly 97 functions from X to Y. From this one can conclude that
 A |X| =1, |Y| =97 B |X| =97, |Y| =1 C |X| =97, |Y| =97 D None of the above
Discrete Mathematics   Functions
Question 3 Explanation:
 Question 4
Which of the following statements is FALSE?
 A The set of rational numbers is an abelian group under addition B The set of integers in an abelian group under addition C The set of rational numbers form an abelian group under multiplication D The set of real numbers excluding zero is an abelian group under multiplication
Discrete Mathematics   Group Theory
Question 4 Explanation:
 Question 5
Two dice are thrown simultaneously. The probability that at least one of them will have 6 facing up is
 A $\frac{1}{36}$ B $\frac{1}{3}$ C $\frac{25}{36}$ D $\frac{11}{36}$
Discrete Mathematics   Probability Theory
Question 5 Explanation:

There are 5 questions to complete.