Find the interval in which function f(x) = sinx+cosx, 0 â‰¤ x â‰¤ 2Ï€ is decreasing.

1.(Ï€/4, 5Ï€/4)

2.(-Ï€/4, 5Ï€/4)

3.(Ï€/4, -5Ï€/4)

4.(-Ï€/4, Ï€/4)

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

(a,a) âˆˆ R, for every a âˆˆ 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

A partial order P is defined on the set of natural numbers as follows. Here a/b denotes integer division. i)(0, 0) âˆŠ P. ii)(a, b) âˆŠ P if and only if a % 10 â‰¤ b % 10 and (a/10, b/10) âˆŠ 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

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

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

Consider the ordering relation a | b âŠ† 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

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

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

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

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

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

1.(5Ï€/4, 2Ï€)

2.[0, Ï€/4) and (5Ï€/4, 2Ï€]

3.(Ï€/4, -5Ï€/4)

4.(-Ï€/4, Ï€/4)

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

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

1.âˆš0.83 m

2.5 m

3.âˆš0.63 m

4.âˆš38 m

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

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

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

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

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

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

In a poset (S, âª¯), if there is no element nâˆˆS 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

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

1.{v, x, y, z}

2.1

3.âˆ…

4.{vx, xy, yz}

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

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

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

1.â‰¤

2.!=

3.>=

4.==

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

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

1.True

2.False

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

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

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

2.P(x) = False for all x âˆˆ S such that b â‰¤ x and x â‰ c

3.P(x) = False for all x âˆˆ S such that x â‰ a and x â‰ c

4.P(x) = False for all x âˆˆ S such that a â‰¤ x and b â‰¤ x

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

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

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

Let G be the graph defined as the Hasse diagram for the âŠ† relation on the set S{1, 2,â€¦, 18}. How many edges are there in G?

1.43722

2.2359296

3. 6487535

4.131963

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

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

Let P={10,20,30} and Q={5,10,15,20}. Which one of the following functions is one â€“ 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

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) âˆˆ R

2.(4,2) âˆˆ R

3.(2,1) âˆˆ R

4.(5,0) âˆˆ R

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

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

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

The function f:Râ†’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

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

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

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

The relation â‰¤ 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

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

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

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

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

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

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

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

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

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

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

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

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

- Math MCQ Question and answer - Basic Algebra
- Math MCQ Question and answer - Time and Work Problems
- Math MCQ Question and answer - Equations and Inequalities
- Math MCQ Question and answer - Number
- Math MCQ Question and answer - Average
- Math MCQ Question and answer - Ratio Rates and Proportion Set 1
- Math MCQ Question and answer - Ratio Rates and Proportion Set 2
- Math MCQ Question and answer - Ratio Rates and Proportion Set 3
- Math MCQ Question and answer - Complementary Test
- Math MCQ Question and answer - Logarithm
- Math MCQ Question and answer - Percentage
- Math MCQ Question and answer - Road Problems
- Math MCQ Question and answer - Ages
- Math MCQ Question and answer - Counting
- Math MCQ Question and answer - Fractions and Decimals
- Mathematics MCQs Set-1
- Mathematics MCQs Set-2
- Mathematics MCQs Set-3
- Mathematics MCQs Set-4
- Mathematics MCQs Set-5
- Mathematics MCQs Set-6
- Mathematics MCQs Set-7
- Mathematics MCQs Set-8

R4Rin Top Tutorials are Core Java,Hibernate ,Spring,Sturts.The content on R4R.in website is done by expert team not only with the help of books but along with the strong professional knowledge in all context like coding,designing, marketing,etc!