Discrete Mathematics Solved MCQs
Discrete Mathematics Solved MCQs
1. The function q ∨ r is equal to the function:
A. ((p ∨ r) ∨ q) ∧ (p ∨ r)
B. (p ∧ q) ∨ (p ∧ r)
C. (p ∨ q) ∧ ∼(p ∨ r)
D. (p ∨ (r ∨ q)) ∧ ∼(∼q ∧ ∼r)
2. The truth table for (p ∨ q) ∨ (p ∧ r) is the same as the truth table for:
A. p ∨ q
B. (p ∨ q) ∧ r
C. (p ∨ q) ∧ (p ∧ r)
D. (p ∨ q) ∧ (p ∨ r)
3. How many have all the vowels together in word MISAPPREHENSION:
A. 15!/2!2!2!2!2!
B. 10!/2!2!2! × 6!/2!2!
C. 13!/2!2!2!2!
D. None of the above
4. The Boolean function [∼(∼p∧q)∧∼(∼p∧∼q)]∨(p∧r) is equal to the Boolean function:
A. q
B. p ∧ r
C. p
D. None of the above
5. In how many ways can a hungry student choose 3 toppings for his prize from a list of 10 delicious possibilities?
A. 123
B. 220
C. 130
D. 120
6. Which of the following statements is FALSE:
A. (P ∧ Q) ∨ (∼P ∧ Q) ∨ (P ∧ ∼Q) is equal to ∼Q ∧ ∼P
B. (P ∧ Q) ∨ (∼P ∧ Q) ∨ (P ∧ ∼Q) is equal to Q ∨ P
C. (P ∧ Q) ∨ (∼P ∧ Q) ∨ (P ∧ ∼Q) is equal to Q ∨ (P ∧ ∼Q)
D. (P ∧ Q) ∨ (∼P ∧ Q) ∨ (P ∧ ∼Q) is equal to [(P ∨ ∼P) ∧ Q] ∨ (P ∧ ∼Q)
7. In any, undirected graph the sum of degrees of all the nodes
A. Must be even
B. Are twice the number of edges
C. Must be odd
D. Need not be even
8. The walk of a graph length is:
A. The number of vertices in walk W
B. Total number of vertices in a graph
C. Total number of edges in a graph
D. The number of edges in walk W
9. Definition of a plane graph is:
A. A graph, drawn in a plane in such a way that any pair of edges meet only at their end vertices
B. A graph, drawn in a plane in such a way that if the vertex set of the graph can be partitioned into two non – empty disjoint subset X and Y in such a way that each edge of G has one end in X and one end in Y
C. A simple graph which is Isomorphic to Hamiltonian graph
D. None of the above
10. A continuous non-intersecting curve in the plane whose origin and terminus coincide :
A. Jordan
B. Planer
C. Hamiltonian
D. All of these
11. V is an isolated vertex in a graph, then the degree of v is:
A. 2
B. 1
C. 0
D. 3
12. Hasse diagrams are drawn
A. Partially ordered sets
B. Lattices
C. Boolean algebra
D. None of these