Discrete Maths

Discrete Maths

1. Indicate which statements are true : (Points 24)
a) D ? C
b) 27 ? A
c) 27 ? B
d) E ? A
e) A ? E
f) 100 ? B
g) 144 ? A
h) 15 ? A
2. Which of the following are true? (Points 18)
a) 2 ? X
b) {2} ? X
c) {2} ? X
d) 1 ? X
e) {1, 2} ? X
f) {1, 2} ? X
3. Indicate which statements are true: (Points 15)
a) Ø
b)
c)
d)
e) Ø
4. Indicate whether the following statements are true or false: (Points 27)
a)
b)
c)
d)
e)
f)
g) Ø
h)
i)
5. Indicate whether the following statements are true or false: (Points 12)
a) R2 ? R3
b) Z2 ? R2
c) If A ? B, the A2 ? B2
d) Z3 n Z2 = Ø
6. Indicate whether the following statements are true or false: (Points 9)
a) Z2 ? Z3
b) Z2 ? R2
c) If A ? B, then A2 ? B2
7. A _______ is an ordered collection of objects. (Points 3)
a) Relation
b) Function
c) Set
d) Proposition
8. The set O of odd positive integers less than 10 can be expressed by
___________. (Points 3)
a) {1, 2, 3}
b) {1, 3, 5, 7, 9}
c) {1, 2, 5, 9}
d) {1, 5, 7, 9, 11}
9. Power set of empty set has exactly _____ subset. (Points 3)
a) One
b) Two
c) Zero
d) Three
10.What is the Cartesian product of A = {1, 2} and B = {a, b}? (Points 3)
a) {(1, a), (1, b), (2, a), (b, b)}
b) {(1, 1), (2, 2), (a, a), (b, b)}
c) {(1, a), (2, a), (1, b), (2, b)}
d) {(1, 1), (a, a), (2, a), (1, b)}
11.The Cartesian Product B x A is equal to the Cartesian product A x B. Is it True
or False? (Points 3)
a) True
b) False
12.What is the cardinality of the set of odd positive integers less than 10? (Points 3)
a) 10
b) 5
c) 3
d) 20
13.Which of the following two sets are equal? (Points 3)
a) A = {1, 2} and B = {1}
b) A = {1, 2} and B = {1, 2, 3}
c) A = {1, 2, 3} and B = {2, 1, 3}
d) A = {1, 2, 4} and B = {1, 2, 3}
14.The set of positive integers is _________ . (Points 3)
a) Infinite
b) Finite
c) Subset
d) Empty
15.What is the Cardinality of the Power set of the set {0, 1, 2}. (Points 3)
a) 8
b) 6
c) 7
d) 9
16. The members of the set S = {x | x is the square of an integer and x < 100} is
_________________. (Points 3)
a) {0, 2, 4, 5, 9, 58, 49, 56, 99, 12}
b) {0, 1, 4, 9, 16, 25, 36, 49, 64, 81}
c) {1, 4, 9, 16, 25, 36, 64, 81, 85, 99}
d) {0, 1, 4, 9, 16, 25, 36, 49, 64, 121}
17.The union of the sets {1, 2, 5} and {1, 2, 6} is the set ____________. (Points 3)
a) {1, 2, 6, 1}
b) {1, 2, 5, 6}
c) {1, 2, 1, 2}
d) {1, 5, 6, 3}
18.The intersection of the sets {1, 2, 5} and {1, 2, 6} is the set _________.(Points 3)
a) {1, 2}
b) {5, 6}
c) {2, 5}
d) {1, 6}
19.Two sets are called disjoint if there _____________ is the empty set. (Points 3)
a) Union
b) Difference
c) Intersection
d) Complement
20.Which of the following two sets are disjoint? (Points 3)
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