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

1.(Ï€/4, 5Ï€/4)

2.(-Ï€/4, 5Ï€/4)

3.(Ï€/4, -5Ï€/4)

4.(-Ï€/4, Ï€/4)

## Question: ```(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

## Question: ```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)

1.infinite

2.even

3.odd

4.odd prime

## Question: ```Bipartite graphs are used in ________ ```

1.modern coding theory

2.colouring graphs

3.neural networks

4.chemical bonds

## Question: ```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

## 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

1.planar graph

2.line graph

3.complete graph

4.subgraph

1.1.35 m

2.6.54 m

3.18.00 m

4.8.05 m

1.3.07 m

2.2.74 m

3.2.33 m

4.4.57 m

## Question: ```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)

1.âˆš0.83 m

2.5 m

3.âˆš0.63 m

4.âˆš38 m

1.1521.14 m

2.1511.14 m

3.1021.14 m

4. 1520.14 m

1.1.90 m

2.1.09 m

3.7.90 m

4.1.40 m

1.0.07 m

2.0.47 cm

3.0.79 m

4.0.57 cm

1.A.R. Hasse

2.Helmut Hasse

3.Dennis Hasse

4.T.P. Hasse

## 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

## Question: ```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

1.{v, x, y, z}

2.1

3.âˆ…

4.{vx, xy, yz}

1.regular graph

2.point graph

3.star graph

4.euler graph

1.â‰¤

2.!=

3.>=

4.==

1.True

2.False

## Question: ```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

1.6

2.5

3.9

4. 4

## 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)}

1.43722

2.2359296

3. 6487535

4.131963

## 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)}

## Question: ```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)}

1.(2,3) âˆˆ R

2.(4,2) âˆˆ R

3.(2,1) âˆˆ R

4.(5,0) âˆˆ R

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

1.bipartite graph

2.cyclic graph

3.tree

4.forest

1.3.07 cm

2.0.37 cm

3.2.33 cm

4.4.57 cm

1.True

2.False

## 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}

## 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

1.56

2.14

3.49

4.87

## Question: ```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

## 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

1.8 m

2.2 m

3.44 m

4.22 m

1.760.00 cm

2.765.57 cm

3.750.57 cm

4.760.57 cm

1.78

2.15

3.214

4.49

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

1.Increasing

2.Decreasing

3.Strictly Increasing

4.Increasing and Decreasing

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

1.Histogram

2.Pie graph

3.Line graph

4.Stacked bar graph

## 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(!=)

## 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)}

## 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)}

## 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)}

## 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)}

1.Reflexive

2.Surjective

3.Symmetric

4.Transitive

## More MCQS

##### Olete Team
Online Exam TestTop Tutorials are Core Java,Hibernate ,Spring,Sturts.The content on Online Exam Testwebsite 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!