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Worksheets

DM MCQ

Total questions: 30

Worksheet time: 30mins

Name
Class
Date
1.

In how many different ways can the letters of the word HEXAGON be permuted ?

a)

5400

b)

4500

c)

5040

d)

4050

2.

Find the number of ways in which the letters of the word TRIANGLE can be arranged such that vowels occur together.

a)

4220

b)

4230

c)

4320

d)

4020

3.

How many different numbers can be formed from the digits 1,2,3,4,5 assuming that the digits cannot be repeated?

a)

325

b)

523

c)

235

d)

352

4.

In how many ways can first, second and third prize in Pie-banking contest be given to 15 participants?

a)

2370

b)

2730

c)

2073

d)

3073

5.

How many bit string of length 10 that begin and with 1 ?

a)

562

b)

265

c)

256

d)

625

6.

The arrangement of objects in a circle is called

a)

circle

b)

circular permutation

c)

round permutation

d)

permutation

7.

A committee of 5 is to be selected from 6 boys and 5 girls . Determine the number of ways of selecting the committee if it is t consist of atleast 1 boy and 1 girl

a)

455

b)

545

c)

554

d)

550

8.

A bank pays 6% interest annually on saving , compounding the interest monthly. if ram deposits Rs.1000 on the first of may, how much will this deposit be worth a year later?

a)

1061.68

b)

1061

c)

1061.75

d)

1061.90

9.

Among 40 CSE students interviewed in a class for a job , 25 knew java programming, 28 knew oracle and 7 do not knew any one of the language . find how many knew both languages.

a)

40

b)

20

c)

7

d)

33

10.

Find the number of integers between 1 and 2000 inclusive that are not divisible by 2,3,5 or 7

a)

458

b)

485

c)

475

d)

457

11.

An edge associated with the unordered pair(u,u) of a graph G is called

a)

self loop

b)

edge joining

c)

digraph

d)

simple graph

12.

A graph with no self loop is called a

a)

simple graph

b)

null graph

c)

weight graph

d)

multi graph

13.

A graph G in which the set of edges E is empty is called a

a)

simple graph

b)

null graph

c)

finite graph

d)

multi graph

14.

A graph having loops but no multiple edges is called a

a)

finite graph

b)

pseudo graph

c)

Digraph

d)

simple graph

15.

In a diagraph G , the number of edges ending at vertex v of G is called

a)

Indegree

b)

Outdegree

c)

degree of vertex

d)

all the above

16.

A vertex degree zero in a graph is called an

a)

pendent vertex

b)

isolated vertex

c)

regular graph

d)

degree of vertex

17.

A vertex of a graph with degree one is called a

a)

isolated vertex

b)

pendent vertex

c)

regular graph

d)

cycle

18.

Total no. of edges in Kn =

a)

n/2

b)

n(n-1)/2

c)

n(n-1)(n-2)

d)

none of these

19.

Kn is called

a)

(n-1) regular graph

b)

n regular graph

c)

k regular graph

d)

regular graph

20.

The sum of degrees of the vertices of an un directed graph G is twice the number of edges in G.

a)

Flase

b)

True

c)

none of these

21.

In an undirected graph G , the number of vertices of odd degree is

a)

Odd

b)

Even

c)

none of these

22.

Two non parallel edges in a graph G are said to be

a)

Adjacency vertex

b)

adjacency edges

c)

Complement graph

d)

none of these

23.

A walk in a graph in which no edge is repeated is called a

a)

walk

b)

trail

c)

closed walk

d)

open walk

24.

A Closed path in which all the edges are distinct is a

a)

Path

b)

Circuit

c)

Cycle

d)

none of these

25.

A circuits in which all the vertices are distinct is a

a)

closed walk

b)

circuits

c)

cycle

d)

all the above

26.

Two graphs are isomorphic if

a)

They have same number of vertices

b)

They have same number of edges

c)

Equal number of vertices with same degree

d)

All the above

27.

A graph without parallel edges or self loop with n nodes and k components can have at most

a)

n/2 edges

b)

n(n-1)/2 edges

c)

(n-k)(n-k+1)/2edges

d)

none of these

28.

A strongly connected digraph is

a)

unilaterally

b)

weakly connected

c)

both

d)

none of these

29.

An Euler graph need not be

a)

connected

b)

even degree

c)

cycle

d)

circuits

30.

The statements are equivalent for a connected graph G

a)

G is Eulerian

b)

Every vertex has even degree

c)

Eulerian circuits

d)

all the above