Register

Recent questions tagged goclasses2024-dm-2-weekly-quiz

309
views
1 answers
3 votes
GO Classes Test Series 2024 | Discrete Mathematics | Test 2 | Question: 1
Consider a Set $\text{X} = \{a, b, c, d, e\}$ and a relation $\text{R}$ defined on $\text{X}:$\text{R} = \{(a, a), (a, b ... $\text{R}?$reflexivesymmetricanti-symmetrictransitive
User Avatar
438
views
1 answers
5 votes
GO Classes Test Series 2024 | Discrete Mathematics | Test 2 | Question: 5
Let $\text{N}$ be the set of positive integers. Consider the relation $\text{R}$ on $\text{N}$ defined by $x\text{R}y$ if and only ... $\text{R}$ on $\text{N}$ is ________ReflexiveSymmetricTransitiveEquivalence relation
User Avatar
787
views
1 answers
4 votes
GO Classes Test Series 2024 | Discrete Mathematics | Test 2 | Question: 7
A relation $\text{R}$ on a set $\text{A}$ is said to be triangular iff $a\text{R}b$ and $c\text{R}b$ together imply $a\text{R}c,$ ... If a relation $\text{S}$ is transitive and triangular, then $\text{S}$ is a symmetric relation.
User Avatar
622
views
1 answers
3 votes
GO Classes Test Series 2024 | Discrete Mathematics | Test 2 | Question: 9
We define a relation $\text{S}$ on a non-empty Set $\text{A}.$ The definition of relation $\text{S}$ ... no infinite set $\text{A}$ on which such relation $\text{S}$ can be defined.
User Avatar
366
views
0 answers
4 votes
GO Classes Test Series 2024 | Discrete Mathematics | Test 2 | Question: 11
Let $\text{A, B}$ be two non-empty sets such that $\text{P(A)} \subset \text{P(B)},$ where $\text{P(S)}$ denotes Power set of set $\text{S}$, and $\subset$ denotes ... cap \text{B}'\}$\{\text{A} \cap \text{B},\text{A}' \cap \text{B}'\}$
User Avatar
413
views
1 answers
5 votes
GO Classes Test Series 2024 | Discrete Mathematics | Test 2 | Question: 13
The below function is defined from a set of all positive integers to a set of all integers. ... to one but not ontoIt is onto but not one-oneIt is bijectionIt is neither One-One nor Onto
User Avatar
475
views
1 answers
7 votes
GO Classes Test Series 2024 | Discrete Mathematics | Test 2 | Question: 16
Let $\text{Z}$ be the set of all integers. Define a relation $\text{S}$ on $\text{Z} \times \text{Z}$ by $(w,x)\text{S}(y,z)$ ... disjoint from the equivalence class of $(a-2,b+2),$ for all $a,b,c,d \in \text{Z}.$
User Avatar
288
views
1 answers
4 votes
GO Classes Test Series 2024 | Discrete Mathematics | Test 2 | Question: 18
Let $\text{R}$ and $\text{S}$ be binary relations on a set $\text{A}.$ Suppose that $\text{R}$ ... reflexive$\text{R} \cup \text{S}$ is reflexive and symmetric but may not be transitive.
User Avatar
551
views
3 answers
4 votes
GO Classes Test Series 2024 | Discrete Mathematics | Test 2 | Question: 21
Let $\text{A}$ be any set.The following are the definitions of Irreflexive and Asymmetric Relations :A binary relation $\text{R}$ ... is antisymmetric.Every relation which is both Irreflexive and Asymmetric is in strict order.
User Avatar
438
views
1 answers
4 votes
GO Classes Test Series 2024 | Discrete Mathematics | Test 2 | Question: 22
Let $\text{Z}$ be the set of all integers. Which of these functions from $\text{Z}$ to $\text{Z}$ is not Onto$f(n) = n-1$f(n) = n^{2} + 1$f(n) = n^{3}$f(n) = \left \lfloor \frac{n}{2} \right \rfloor$
User Avatar
323
views
1 answers
3 votes
GO Classes Test Series 2024 | Discrete Mathematics | Test 2 | Question: 23
Which of the following statements must be true?$\left \lfloor x \right \rfloor = \left \lceil x \right \rceil$ if and only if $x$ ... $x.$
User Avatar
To see more, click for the full list of questions or popular tags.