Aurora's Engineering College

B.Tech 2 CSE II Sem - Mid-II Test - 2019-20

Discrete Mathematics

Please read the below instructions before taking the test:
  1. This test contains 20 multiple choice questions
  2. Each question carries one mark
  3. Maximum marks : 20
  4. Duration : 30 minutes
  5. This test can be attempted only once. If there are multiple attempts by creating different logins, all your tests stand cancelled, and no marks will be awarded.
Please read the below instructions before taking the test:
  1. This test contains 20 multiple choice questions
  2. Each question carries one mark
  3. Maximum marks : 20
  4. Duration : 30 minutes
  5. This test can be attempted only once. If there are multiple attempts by creating different logins, all your tests stand cancelled, and no marks will be awarded.
Full Name:
Roll No
Email:
Consider the recurrence relation a1=4, an=5n+an-1. The value of a64 is _________
10399
23760
75100
53700
Determine the solution of the recurrence relation Fn=20Fn-1 − 25Fn-2 where F0=4 and F1=14
an = 14*5n-1
an = 7/2*2n−1/2*6n
an = 7/2*2n−3/4*6n+1
an = 3*2n−1/2*3n
What is the recurrence relation for 1, 7, 31, 127, 499?
bn+1=5bn-1+3
bn=4bn+7!
bn=4bn-1+3
bn=bn-1+1
If Sn=4Sn-1+12n, where S0=6 and S1=7, find the solution for the recurrence relation
an=7(2n)−29/6n6n
an=6(6n)+6/7n6n
an=6(3n+1)−5n
an=nn−2/6n6n
Find the value of a4 for the recurrence relation an=2an-1+3, with a0=6
320
221
141
65
The solution to the recurrence relation an=an-1+2n, with initial term a0=2 are
4n+7
2(1+n)
3n2
5*(n+1)/2
Determine the solution for the recurrence relation bn=8bn-1−12bn-2 with b0=3 and b1=4
7/2*2n−1/2*6n
2/3*7n-5*4n
4!*6n
2/8n
What is the solution to the recurrence relation an=5an-1+6an-2?
2n2
6n
(3/2)n
N!*3
Determine the value of a2 for the recurrence relation an = 17an-1 + 30n with a0=3
4387
5484
238
1437
Determine the solution for the recurrence relation an = 6an-1−8an-2 provided initial conditions a0=3 and a1=5
an = 4 * 2n – 3n
an = 3 * 7n – 5*3n
an = 5 * 7n
an = 3! * 5n
If a partial order is drawn as a Hasse diagram in which no two edges cross, its covering graph is called
Upward planar
Downward planar
Lattice
Biconnected components
Which of the following relation is a partial order as well as an equivalence relation?
Equal to(=)
Less than(<)
Greater than(>)
Not equal to(!=)
The relation ≤ is a partial order if it is
Reflexive, antisymmetric and transitive
Reflexive, symmetric
Asymmetric, transitive
Irreflexive and transitive
Which of the following statements for a simple graph is correct?
Every path is a trail
Every trail is a path
Every trail is a path as well as every path is a trail
Path and trail have no relation
A connected planar graph having 6 vertices, 7 edges contains _____________ regions
15
3
1
11
Which of the following properties does a simple graph not hold?
Must be connected
Must be unweighted
Must have no loops or multiple edges
Must have no multiple edges
A graph with all vertices having equal degree is known as a
Multi Graph
Regular Graph
Simple Graph
Complete Graph
All trees with n vertices consists of ______ edges
N - 1
N
2
None of the above
The number of elements in the adjacency matrix of a graph having 7 vertices is
7
14
36
49

Which of the following statements is/are TRUE for undirected graphs?

P : Number of odd degree vertices is even.

Q : Sum of degrees of all vertices is even
P only
Q only
Both P and Q
Neither P nor Q
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