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 \cup B | |
A^c \cup B^c | |
A \cap B | |
A^c \cap B^c |
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
3 | |
4 | |
9 | |
None of the above |
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
|X| =1, |Y| =97 | |
|X| =97, |Y| =1 | |
|X| =97, |Y| =97 | |
None of the above |
Question 3 Explanation:
Question 4 |
Which of the following statements is FALSE?
The set of rational numbers is an abelian group under addition | |
The set of integers in an abelian group under addition | |
The set of rational numbers form an abelian group under multiplication | |
The set of real numbers excluding zero is an abelian group under multiplication |
Question 4 Explanation:
Question 5 |
Two dice are thrown simultaneously. The probability that at least one of them will have 6 facing up is
\frac{1}{36} | |
\frac{1}{3} | |
\frac{25}{36} | |
\frac{11}{36} |
Question 5 Explanation:
There are 5 questions to complete.