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440+ Discrete Mathematics Solved MCQs

These multiple-choice questions (MCQs) are designed to enhance your knowledge and understanding in the following areas: Computer Science Engineering (CSE) .

401.

The number of elements in a square matrix of order n is _____.

A. n power 3
B. n power 4
C. n power 5
D. n power 2
Answer» D. n power 2
402.

Every non-trivial tree has at least _____ vertices of degree one.

A. 1
B. 2
C. 3
D. 4
Answer» B. 2
403.

A ____ is an edge e such that w(G-e)>w(G).

A. cut vertex of G
B. cut edge of G
C. ends of G
D. path of G
Answer» B. cut edge of G
404.

Every connected graph contains a ________.

A. tree
B. sub tree
C. spanning tree
D. spanning subtree
Answer» C. spanning tree
405.

A minimal non-empty edge cut of G is called a _________.

A. bond
B. cycle
C. path
D. tour
Answer» A. bond
406.

A connected graph that has no cut vertices is called a ________.

A. block
B. bond
C. cycle
D. tour
Answer» A. block
407.

Every block with at least three vertices are __________connected.

A. 1
B. 2
C. 3
D. 4
Answer» B. 2
408.

A graph is Eulerian if it contains __________.

A. Euler tour
B. Euler trail
C. Hamiltonian path
D. Euler path
Answer» A. Euler tour
409.

Hamilton cycle is a cycle that contains every ________of G.

A. path
B. cycle
C. vertex
D. edge
Answer» C. vertex
410.

Collection of human beings with 4 heads, 2 legs and two hands is a ________.

A. null set
B. finite set
C. infinite set
D. equal set
Answer» A. null set
411.

A set containing no element is called ____________.

A. null set
B. finite set
C. infinite set
D. equal set
Answer» A. null set
412.

A = {1,3,5,7,9} is a __________.

A. null set
B. finite set
C. singleton set
D. infinite set
Answer» B. finite set
413.

The number of Indians in the world is _________.

A. finite set
B. universal set
C. infinite set
D. equal set
Answer» A. finite set
414.

If in the truth table the answer column has the truth values both TRUE and FALSE then it is said to be ________.

A. tautology
B. contradiction
C. contingency
D. equivalence relation
Answer» C. contingency
415.

To prove the statement P tautologically implies the statement Q, it is enough to prove that _________.

A. P conditional Q is a contradiction
B. P conditional Q is a tautology
C. P biconditional is a contradiction
D. P biconditional Q is a tautology
Answer» B. P conditional Q is a tautology
416.

To prove the statement P is tautologically equivalent to the statement Q, it is enough to prove that _______.

A. P conditional Q is a contradiction
B. P conditional Q is a tautology
C. P biconditional Q is a contradiction
D. P biconditional Q is a tautology
Answer» D. P biconditional Q is a tautology
417.

Let R={(1,2),(3,4),(2,6.} and S={(4,3),(2,5),(6,6)} be a relation then R composite S=____.

A. {(1,5),(3,3),(2,6)}
B. {(1,5),(3,6),(2,5)}
C. {(4,4),(2,5),(3,3)}
D. {(1,1),(3,3),(2,2)}
Answer» A. {(1,5),(3,3),(2,6)}
418.

The binary relation R = {(0, 0), (1, a)} on A = {0, 1, 2, 3, } is _______.

A. reflexive, not symmetric, transitive
B. not reflexive, symmetric, transitive
C. reflexive, symmetric, not transitive
D. reflexive, not symmetric, not transitive
Answer» B. not reflexive, symmetric, transitive
419.

There are only five distinct Hasse diagrams for partially ordered sets that contain _______elements.

A. 2
B. 3
C. 4
D. 6
Answer» B. 3
420.

The production S tends to aB is of the type ________grammar.

A. 0
B. 1
C. 2
D. all the above
Answer» D. all the above
421.

The production S tends to A is of the type _____grammar.

A. 0
B. 1
C. 2
D. all the above
Answer» A. 0
422.

A regular grammar contain rules of the form is _____.

A. A tends to AB
B. AB tends to a
C. A tends to aB
D. AB tends to CD
Answer» C. A tends to aB
423.

If an edge e is said to join the vertices u and v then the vertices u and v are called __.

A. initial vertices
B. terminal vertices
C. ends of e
D. all the above
Answer» B. terminal vertices
424.

Edges intersect only at their ends are called ________.

A. planar
B. loop
C. link
D. non plannar
Answer» A. planar
425.

Two vertices which are incident with the common edge are called ______________vertices.

A. distinct
B. directed
C. adjacent
D. loops
Answer» C. adjacent
426.

An edge with identical ends is called _________.

A. complete graph
B. bipartite graph
C. loops
D. link
Answer» C. loops
427.

An edge with same ends is called ___________.

A. complete graph
B. bipartite graph
C. loops
D. link
Answer» D. link
428.

In a graph if few edges have directions and few do not have directions then the graph is called _________.

A. multi graph
B. directed graph
C. undirected graph
D. mixed graph
Answer» D. mixed graph
429.

If two edges have same vertices as its terminal vertices those edges are called ____.

A. parallel
B. adjacent
C. incident
D. distinct
Answer» A. parallel
430.

Each edge has one end in set X and one end in set Y then the graph (X, Y) is called _____graph.

A. bipartite
B. simple
C. complete
D. trivial
Answer» A. bipartite
431.

The graph defined by the vertices and edges of a __________ is bipartite.

A. square
B. cube
C. single
D. both square and cube
Answer» B. cube
432.

To any graph G there corresponds a vertex in a matrix called ________matrix.

A. incidence
B. adjacency
C. square
D. null
Answer» A. incidence
433.

If H is a sub graph of G then G is a ______ of H.

A. proper sub grapth
B. inducted sub graph
C. spanning subgraph
D. super graph
Answer» D. super graph
434.

If the graph G1 and G2 has no vertex in common then it is said to be ______.

A. disjoint
B. edge disjoint
C. union
D. intersection
Answer» A. disjoint
435.

The degree of vertex v in G is __________.

A. number of edges of G incident with v
B. number of loops in G
C. number of links in G
D. number of sub graph in G
Answer» A. number of edges of G incident with v
436.

If the edges of a walk W are distinct then W is called _________.

A. path
B. trial
C. walk
D. tour
Answer» D. tour
437.

If the vertices of a walk W are distinct then W is called __________.

A. path
B. trial
C. walk
D. tour
Answer» A. path
438.

Each loop counting has _________ edges.

A. 1
B. 2
C. 3
D. 4
Answer» B. 2
439.

The statements that we consider initially are simple statements called _________statements.

A. molecular
B. compound
C. atomic
D. simple
Answer» C. atomic
440.

The statements formed from atomic statements are called _________statements.

A. molecular
B. compound
C. atomic
D. simple
Answer» A. molecular
441.

The negation of the statement is formed by introducing ___________.

A. not
B. and
C. or
D. if
Answer» A. not

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