Mathematics/Mathematics MCQs Set-2 Sample Test,Sample questions

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Question: 
 Find the interval in which function f(x) = sinx+cosx, 0 ≤ x ≤ 2π is decreasing.

1.(Ï€/4, 5Ï€/4)

2.(-Ï€/4, 5Ï€/4)

3.(Ï€/4, -5Ï€/4)

4.(-π/4, π/4)

Posted Date:-2022-05-13 08:46:26

Question: 
(a,a) ∈ R, for every a ∈ A. This condition is for which of the following relations?

1.Reflexive relation

2.Symmetric relation

3.Equivalence relation

4.Transitive relation

Posted Date:-2022-05-13 08:59:25

Question: 
A partial order P is defined on the set of natural numbers as follows. Here a/b denotes integer division. i)(0, 0) ∊ P. ii)(a, b) ∊ P if and only if a % 10 ≤ b % 10 and (a/10, b/10) ∊ P. Consider the following ordered pairs:
i. (101, 22) ii. (22, 101) iii. (145, 265) iv. (0, 153)
The ordered pairs of natural numbers are contained in P are ______ and ______

1.(145, 265) and (0, 153)

2.(22, 101) and (0, 153)

3.(101, 22) and (145, 265)

4.(101, 22) and (0, 153)

Posted Date:-2022-05-13 09:05:12

Question: 
All closed walks are of ______ length in a bipartite graph.

1.infinite

2.even

3.odd

4.odd prime

Posted Date:-2022-05-13 09:17:28

Question: 
Bipartite graphs are used in ________

1.modern coding theory

2.colouring graphs

3.neural networks

4.chemical bonds

Posted Date:-2022-05-13 09:16:56

Question: 
Consider the ordering relation a | b ⊆ N x N over natural numbers N such that a | b if there exists c belong to N such that a*c=b. Then ___________

1.| is an equivalence relation

2.It is a total order

3.Every subset of N has an upper bound under |

4.(N,|) is a lattice but not a complete lattice

Posted Date:-2022-05-13 09:06:51

Question: 
Consider the set N* of finite sequences of natural numbers with a denoting that sequence a is a prefix of sequence b. Then, which of the following is true?

1.Every non-empty subset of has a greatest lower bound

2.It is uncountable

3.Every non-empty finite subset of has a least upper bound

4.Every non-empty subset of has a least upper bound

Posted Date:-2022-05-13 09:07:36

Question: 
Every complete bipartite graph must not be _______

1.planar graph

2.line graph

3.complete graph

4.subgraph

Posted Date:-2022-05-13 09:17:59

Question: 
Find the area of a semicircle if the radius is 6 cm.

1.1.35 m

2.6.54 m

3.18.00 m

4.8.05 m

Posted Date:-2022-05-13 08:39:06

Question: 
Find the diameter of the circle if the area of the circle is 6 m.

1.3.07 m

2.2.74 m

3.2.33 m

4.4.57 m

Posted Date:-2022-05-13 08:43:40

Question: 
Find the interval in which function f(x) = sinx+cosx is increasing.

1.(5Ï€/4, 2Ï€)

2.[0, π/4) and (5π/4, 2π]

3.(Ï€/4, -5Ï€/4)

4.(-π/4, π/4)

Posted Date:-2022-05-13 08:47:10

Question: 
Find the radius of a circle if 2 m is the area of the circle.

1.√0.83 m

2.5 m

3.√0.63 m

4.√38 m

Posted Date:-2022-05-13 08:40:25

Question: 
Find the radius of the circle if the area of the circle is 22 cm.

1.1521.14 m

2.1511.14 m

3.1021.14 m

4. 1520.14 m

Posted Date:-2022-05-13 08:40:58

Question: 
Find the radius of the circle if the circumference is 12 m.

1.1.90 m

2.1.09 m

3.7.90 m

4.1.40 m

Posted Date:-2022-05-13 08:39:39

Question: 
Find the radius of the wheel if the wheel rotates 100 times to cover 500 m.

1.0.07 m

2.0.47 cm

3.0.79 m

4.0.57 cm

Posted Date:-2022-05-13 08:42:11

Question: 
Hasse diagrams are first made by ______

1.A.R. Hasse

2.Helmut Hasse

3.Dennis Hasse

4.T.P. Hasse

Posted Date:-2022-05-13 09:09:20

Question: 
If a partial order is drawn as a Hasse diagram in which no two edges cross, its covering graph is called ______

1.upward planar

2.downward planar

3.lattice

4.biconnected components

Posted Date:-2022-05-13 09:10:01

Question: 
In a poset (S, ⪯), if there is no element n∈S with m<n, then which of the following is true?

1.an element n exists for which m=n

2.An element m is maximal in the poset

3.A set with the same subset of the poset

4.An element m is minimal in the poset

Posted Date:-2022-05-13 09:12:35

Question: 
In a poset P({v, x, y, z}, ⊆) which of the following is the greatest element?

1.{v, x, y, z}

2.1

3.∅

4.{vx, xy, yz}

Posted Date:-2022-05-13 09:13:27

Question: 
In a ______ the degree of each and every vertex is equal.

1.regular graph

2.point graph

3.star graph

4.euler graph

Posted Date:-2022-05-13 09:15:29

Question: 
In which of the following relations every pair of elements is comparable?

1.≤

2.!=

3.>=

4.==

Posted Date:-2022-05-13 09:11:57

Question: 
Is the function f(x) = 3x+10 is increasing on R?

1.True

2.False

Posted Date:-2022-05-13 08:47:40

Question: 
Let (A, ≤) be a partial order with two minimal elements a, b and a maximum element c. Let P:A –> {True, False} be a predicate defined on A. Suppose that P(a) = True, P(b) = False and P(a) ⇒ P(b) for all satisfying a ≤ b, where ⇒ stands for logical implication. Which of the following statements cannot be true?

1.P(x) = True for all x S such that x ≠ b

2.P(x) = False for all x ∈ S such that b ≤ x and x ≠ c

3.P(x) = False for all x ∈ S such that x ≠ a and x ≠ c

4.P(x) = False for all x ∈ S such that a ≤ x and b ≤ x

Posted Date:-2022-05-13 09:08:31

Question: 
Let a set S = {2, 4, 8, 16, 32} and <= be the partial order defined by S <= R if a divides b. Number of edges in the Hasse diagram of is ______

1.6

2.5

3.9

4. 4

Posted Date:-2022-05-13 09:00:18

Question: 
Let A={1,2,3} and B={4,5,6}. Which one of the following functions is bijective?

1.f={(2,4),(2,5),(2,6)}

2.f={(1,5),(2,4),(3,4)}

3.f={(1,4),(1,5),(1,6)}

4.f={(1,4),(2,5),(3,6)}

Posted Date:-2022-05-13 08:51:23

Question: 
Let G be the graph defined as the Hasse diagram for the ⊆ relation on the set S{1, 2,…, 18}. How many edges are there in G?

1.43722

2.2359296

3. 6487535

4.131963

Posted Date:-2022-05-13 09:14:16

Question: 
Let M={5,6,7,8} and N={3,4,9,10}. Which one of the following functions is neither one-one nor onto?

1.f={(5,3),(5,4),(6,4),(8,9)}

2.f={(5,3),(6,4),(7,9),(8,10)}

3.f={(5,4),(5,9),(6,3),(7,10),(8,10)}

4.f={(6,4),(7,3),(7,9),(8,10)}

Posted Date:-2022-05-13 08:53:35

Question: 
Let P={10,20,30} and Q={5,10,15,20}. Which one of the following functions is one – one and not onto?

1.f={(10,5),(10,10),(10,15),(10,20)}

2.f={(10,5),(20,10),(30,15)}

3.f={(20,5),(20,10),(30,10)}

4.f={(10,5),(10,10),(20,15),(30,20)}

Posted Date:-2022-05-13 08:52:21

Question: 
Let R be a relation in the set N given by R={(a,b): a+b=5, b>1}. Which of the following will satisfy the given relation?

1.(2,3) ∈ R

2.(4,2) ∈ R

3.(2,1) ∈ R

4.(5,0) ∈ R

Posted Date:-2022-05-13 08:57:22

Question: 
n undirected graph G which is connected and acyclic is called ____________

1.bipartite graph

2.cyclic graph

3.tree

4.forest

Posted Date:-2022-05-13 09:19:32

Question: 
The difference between circumference and diameter of a ring is 10 cm. Find the radius of the ring.

1.3.07 cm

2.0.37 cm

3.2.33 cm

4.4.57 cm

Posted Date:-2022-05-13 08:43:02

Question: 
The function f:R→R defined as f(x)=7x+4 is both one-one and onto.

1.True

2.False

Posted Date:-2022-05-13 08:50:30

Question: 
The inclusion of ______ sets into R = {{1, 2}, {1, 2, 3}, {1, 3, 5}, {1, 2, 4}, {1, 2, 3, 4, 5}} is necessary and sufficient to make R a complete lattice under the partial order defined by set containment.

1.{1}, {2, 4}

2.{1}, {1, 2, 3}

3. {1}

4.{1}, {1, 3}, {1, 2, 3, 4}, {1, 2, 3, 5}

Posted Date:-2022-05-13 09:05:56

Question: 
The less-than relation, <, on a set of real numbers is ______

1.not a partial ordering because it is not asymmetric and irreflexive equals antisymmetric

2.a partial ordering since it is asymmetric and reflexive

3.a partial ordering since it is antisymmetric and reflexive

4.not a partial ordering because it is not antisymmetric and reflexive

Posted Date:-2022-05-13 09:03:14

Question: 
The maximum number of edges in a bipartite graph on 14 vertices is ___________

1.56

2.14

3.49

4.87

Posted Date:-2022-05-13 09:14:55

Question: 
The relation ≤ is a partial order if it is ___________

1.reflexive, antisymmetric and transitive

2.reflexive, symmetric

3.asymmetric, transitive

4.irreflexive and transitive

Posted Date:-2022-05-13 09:11:21

Question: 
The spectrum of a graph is _______ if and only if it is _______ graph.

1.symmetry, bipartite

2.transitive, bipartite

3.cyclic, Euler

4.reflexive, planar

Posted Date:-2022-05-13 09:18:38

Question: 
What is the circumference of a circle if the radius is 7 m?

1.8 m

2.2 m

3.44 m

4.22 m

Posted Date:-2022-05-13 08:38:34

Question: 
What is the circumference of the circle if the radius is 121 cm?

1.760.00 cm

2.765.57 cm

3.750.57 cm

4.760.57 cm

Posted Date:-2022-05-13 08:41:33

Question: 
What is the maximum number of edges in a bipartite graph on 14 vertices?

1.78

2.15

3.214

4.49

Posted Date:-2022-05-13 09:16:19

Question: 
What is the nature of function f(x) = 7x-4 on R?

1.Increasing

2.Decreasing

3.Strictly Increasing

4.Increasing and Decreasing

Posted Date:-2022-05-13 08:45:34

Question: 
Which graph represents relation between whole and its parts?

1.Histogram

2.Pie graph

3.Line graph

4.Stacked bar graph

Posted Date:-2022-05-13 08:44:21

Question: 
Which of the following relation is a partial order as well as an equivalence relation?

1.equal to(=)

2.less than(<)

3. greater than(>)

4.not equal to(!=)

Posted Date:-2022-05-13 09:10:43

Question: 
Which of the following relations is reflexive but not transitive for the set T = {7, 8, 9}?

1.R = {(7, 7), (8, 8), (9, 9)}

2.R = {(7, 8), (8, 7), (8, 9)}

3.R = {0}

4.R = {(7, 8), (8, 8), (8, 9)}

Posted Date:-2022-05-13 08:58:02

Question: 
Which of the following relations is symmetric and transitive but not reflexive for the set I = {4, 5}?

1.R = {(4, 4), (5, 4), (5, 5)}

2.R = {(4, 4), (5, 5)}

3.R = {(4, 5), (5, 4)}

4.R = {(4, 5), (5, 4), (4, 4)}

Posted Date:-2022-05-13 08:58:40

Question: 
Which of the following relations is symmetric but neither reflexive nor transitive for a set A = {1, 2, 3}.

1.R = {(1, 2), (1, 3), (1, 4)}

2.R = {(1, 2), (2, 1)}

3.R = {(1, 1), (2, 2), (3, 3)}

4.R = {(1, 1), (1, 2), (2, 3)}

Posted Date:-2022-05-13 08:55:59

Question: 
Which of the following relations is transitive but not reflexive for the set S={3, 4, 6}?

1.R = {(3, 4), (4, 6), (3, 6)}

2.R = {(1, 2), (1, 3), (1, 4)}

3.R = {(3, 3), (4, 4), (6, 6)}

4. R = {(3, 4), (4, 3)}

Posted Date:-2022-05-13 08:56:39

Question: 
Which of these is not a type of relation?

1.Reflexive

2.Surjective

3.Symmetric

4.Transitive

Posted Date:-2022-05-13 08:54:49

Posted on by R4R Team

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