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Chapter:

70+ Unit 2 Solved MCQs

in Discrete Structure (DS)

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

Chapters

Chapter: Unit 2
51.

If A and B are two non empty sets then cartesian product of A and B is----------

A. AΧB={(a,b);a,bϵA }
B. AΧB={(a,b);a,bϵB}
C. AΧB={(a,b);aϵA and bϵB}
D. AΧB={(a,b);aϵB and bϵA}
Answer» C. AΧB={(a,b);aϵA and bϵB}
52.

If set A contains n elements, set B contains m elements then number of elements in AXB is---

A. m+n
B. n-m
C. m.n
D. n/m
Answer» C. m.n
53.

If A,B and C are non empty sets then AX(B∩C) is-----.

A. (AXB)U(AXC)
B. (AXB)∩(AXC)
C. (AXB)∩C
D. (AXC)∩B
Answer» B. (AXB)∩(AXC)
54.

If A,B and C are non empty sets then AX(BUC) is-----.

A. (AXB)U(AXC)
B. (AXB)∩(AXC)
C. (AXB)UC
D. (AXC)UB
Answer» A. (AXB)U(AXC)
55.

If R is a relation defined from set A to set B then------

A. R=AXB
B. RCAXB
C. RCBXA
D. AXBCR
Answer» B. RCAXB
56.

If A=(1,2,3} and R on A is defined by R={(1,1),(2,2),(3,3)} then R is…………

A. Reflexive
B. Symmetric
C. Transitive
D. All of these
Answer» A. Reflexive
57.

If A=(1,2,3} and R on A is defined by R={(1,2),(2,1),(1,1),(2,2)} then R is…………

A. Reflexive and symmetric
B. Reflexive and Transitive
C. Symmetric and Transitive
D. All of the above.
Answer» C. Symmetric and Transitive
58.

Which statement is true?

A. Relation can be of the type one many
B. Function can be of the type one many
C. Both (a) and (b)
D. None of these.
Answer» B. Function can be of the type one many
59.

Which statement is true?

A. Every function is a relation.
B. Every Relation is a function.
C. Both A and B.
D. None of these.
Answer» A. Every function is a relation.
60.

In-----Relation every element is related with itself.

A. Reflexive
B. Symmetric
C. Transitive
D. None
Answer» A. Reflexive
61.

The Relation is----------if a has relation with b and b has relation with a.

A. Reflexive
B. Symmetric
C. Transitive
D. None
Answer» B. Symmetric
62.

If a has relation with b and b has relation with c then a has relation with c is………………..Relation.

A. Reflexive
B. Symmetric
C. Transitive
D. None
Answer» C. Transitive
63.

Types of function Mappings are-----

A. One to one
B. Many to one
C. Into, Onto
D. All
Answer» D. All
64.

The Transitive Closure of a relation R is denoted by----

A. R*
B. R    
C. R+
D. RR
Answer» A. R*
65.

The alternative method to find transitive closure of R* is-------.

A. R*
B. RR
C. Warshall’s Algorithm
D. R
Answer» C. Warshall’s Algorithm
66.

Poset is a------

A. Positive set
B. p-set
C. P*
D. Partially Ordered set
Answer» D. Partially Ordered set
67.

If A is any non-empty set and R is a partial ordered relation on set A, then the ordered pair (A,R) is called -------

A. Poset
B. p-set
C. Positive set
D. None
Answer» A. Poset
68.

Let (A, ≤) be a poset. A subset of A is known as ------if every pair of elements in the subset are related.

A. Chain
B. Antichains
C. Group
D. Lattice.
Answer» A. Chain
69.

The number of elements in the chain is called as------

A. Chain
B. Antichains
C. None
D. Length of chain
Answer» D. Length of chain
70.

A ------ is a poset (A, ≤) in which every subset {a, b} of A, has a least upper bound and a greatest lower bound.

A. Chain
B. Lattice.
C. Antichains
D. Group
Answer» B. Lattice.
71.

Pigeon Hole Principle says that if there are many pigeons and a few pigeon holes, then there must be some pigeon holes occupied by--------------

A. Two or more pigeons.
B. Pigeons
C. One only
D. None
Answer» A. Two or more pigeons.
72.

Digraph can be represented by-----

A. Hasse diagrams
B. Digraph
C. Graph
D. None
Answer» A. Hasse diagrams

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