Recent questions and answers in Set Theory & Algebra - GATE CSE Doubts

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GATE GURU:FUNCTIONS
Can we represent all real numbers by a function? If so, then both are true right?

asked 12 hours ago in Set Theory & Algebra by Debapaul (117 points) | 11 views

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GATE GURU DISCRETE MATHS
Why is $(II)$ not a poset?

asked 12 hours ago in Set Theory & Algebra by Debapaul (117 points) | 16 views

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MADE EASY : LATTICE
Boolean lattice Complemented lattice Distributive lattice Not a lattice

answered 1 day ago in Set Theory & Algebra by GAITONDE (1.2k points) | 14 views

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1 answer

MADE EASY FULL LENGTH : Discrete Maths
Is this relation on set A{1,2,3,4} , R={ (3,3) (2,1) (1,2) } anti symmetric?

answered Oct 14 in Set Theory & Algebra by HeartBleed (51 points) | 11 views

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group theory:Scribd
Find the number of elements in the cyclic subgroup of $\mathbb{Z_{30}}$ generated by $25$.

asked Oct 6 in Set Theory & Algebra by Lakshman Patel RJIT (101 points) | 11 views

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1 answer

self doubt- proper containment and containment of relation in discrete maths

answered Sep 30 in Set Theory & Algebra by Rudr Pawan (577 points) | 7 views

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Self doubt-Relations
True or false? Number of relations which is both symmetric and asymmetric = 1 Number of relations which is both symmetric and anti-asymmetric = $2^{n}$ Number of relations which is both reflexive and anti-asymmetric = $3^{(n^{2}-n)/2}$ Number of relations ... is both reflexive and asymmetric =0 Number of relations which is both asymmetric and anti-asymmetric = $3^{(n^{2}-n)/2}$

answered Sep 28 in Set Theory & Algebra by Rudr Pawan (577 points) | 29 views

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Question from question bank of IIT
Suppose $A_{1},A_{2},\dots,A_{30}$ are thirty sets each with five elements and $B_{1},B_{2},\dots,B_{n}$ are $n$ sets each with three elements such that $\bigcup_{i=1}^{30}A_{i}=\bigcup_{j=1}^{n}B_{j}=S.$ If each element of $S$ belongs to exactly $10$ of the $A_{i}$'s and exactly $9$ of the $B_{j}$'s, then the value of $n$ is? 15 30 40 45

asked Sep 27 in Set Theory & Algebra by Lakshman Patel RJIT (101 points) | 30 views

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General doubt for this type of questions
f(x) is a bijection and g(x) is onto but not one-to-one, fog(X) mignt be 1.one-to-one 2.onto (a) Only1 (d) neither 1 nor2 (b) Only 2 (C) both 1 and 2 Answer given is = only 2 So I want some resource ... to solve this kind of question. I always stuck in taking a counterexample in this questions. So if anyone can suggest how to solve this questions.

asked Sep 25 in Set Theory & Algebra by vijay kumar 2 (9 points) | 10 views

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Sets and Relation
how many edges are there in the hasse diagram for inclusion on the set P(s) where S={a,b,c,d}

asked Sep 14 in Set Theory & Algebra by Aman chaudhary (6 points) | 9 views

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Kenneth Rosen 9.5 Exercise 15
Let R be the relation on the set of ordered pairs of positive integers such that ((a,b),(c,d)) ∈ R if and only if a+d = b+c. Show that R is an equivalence relation.

asked Sep 11 in Set Theory & Algebra by sohailkhan (6 points) | 10 views

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how many sets a are possible which satisfies p(a)= {{},{{}},{{{}}}}

asked Sep 11 in Set Theory & Algebra by Shruti Kannojiya (6 points) | 9 views

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Is rings and fields in gate syllabus?

asked Aug 31 in Set Theory & Algebra by Palak Guptaa (10 points) | 9 views

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2 answers

Self Doubt-Regarding Lattice
Is it a Lattice? If lattice then is it a distributive lattice also?

answered Aug 28 in Set Theory & Algebra by Bikram (1.2k points) | 74 views

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1 answer

Self Doubt: POSET
I am unable to understand how Equality of Sets is a POSET? How can it satisfy anti-symmetric property?

answered Aug 13 in Set Theory & Algebra by user2525 (1.5k points) | 33 views

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2 answers

Set Theory Practice Question

answered Aug 11 in Set Theory & Algebra by Hirak (1.2k points) | 24 views

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1 answer

Let S = { 0,3,6,9 } and ( S, (+) 12 ) forms a group where (+) 12 ; find inverse value of ( 0+3+6+9 )

answered Aug 10 in Set Theory & Algebra by user2525 (1.5k points) | 10 views

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Set Practice Question 1
Let A = { a,b,c,d } which of the following is not true ? a) R1 = { (a,a) (c,c) } is Symmetric, Anti-Symmetric and Transitive on A b) R2 = { (a,b) (b,a) (a,c) (c,a) (c,d) } is Symmetric and Anti-Symmetric c) R3 = { (b,c) ( ... a$\neq$b. True. It is symmetric but not anti-symmetric True. It is anti-symmetric, but not symmetric because (a,b) is present but not (b,a) Thank you.

asked Aug 10 in Set Theory & Algebra by DukeThunders (197 points) | 4 views

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Self Doubt: Set Theory
Which of the following is not a set? (multiple options may be correct) Set of all girls in a class Set of all boys in a class Set of all intelligent boys in a class Set of all boys of age > 10 Set of all boys of age < 10 [closed]

asked Aug 6 in Set Theory & Algebra by Hirak (1.2k points) | 6 views

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1 answer

Gate 2000 multiset and set theory
A multiset is an unordered collection of elements where elements may repeat any number of times. The size of a multiset is the number of elements in it, counting repetitions. What is the number of multisets of size 4 that can be constructed ... elements so that at least one element occurs exactly twice? Can someone explain the answer with an example of a multiset ?

answered Aug 4 in Set Theory & Algebra by Satbir (2.5k points) | 15 views

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Self problems
Lim x-->0 [ (cosx - cos(sinx))/x^4 ]= ?? Please!! tell me the best approach to solve this question

asked Jul 25 in Set Theory & Algebra by 69akki (7 points) | 23 views

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Self doubt: Ordered Pair
What is meaning of ordered pair of rational numbers, or ordered pair of integers , or real numbers??

asked Jul 12 in Set Theory & Algebra by srestha (315 points) | 11 views

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1 answer

Group Theory Book
Any standard book for group theory numericals?

answered Jul 11 in Set Theory & Algebra by Kushagra गुप्ता (82 points) | 14 views

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1 answer

Numbers are Countable or Not?
Why “set of real numbers between $[0,0.1)$” is uncountable? I know real number can go upto any limit. But here range is given. So, why not is it still countable? If real number can be uncountable, then why not rational number cannot be uncountable?

answered Jul 11 in Set Theory & Algebra by Debargha Bhattacharj (1.5k points) | 27 views

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GATE 2005 - 43
I had checked this link. The best answer uses the example of A={0,1,2},B={0,3,4,25},C={3,4,5} f={(0,3),(3,5),(4,4),(25,3)} g={(1,3),(2,4),(0,0)} Say we consider the same sets A,B and C and function g but change function f to the following, f={(0,3),(3,5 ... , h is now h={(0,3),(1,5),(2,3)} In this case, f is onto, g is not onto and h is not onto. So shouldn't the answer be option A ?

asked Jul 6 in Set Theory & Algebra by Chris Jason (6 points) | 6 views

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1 answer

self doubts (functions)
f(x)=3x+2\4x-1 g(x)=x+2\4x-3 1.fog (x)=2x gof (x)=x how to do??

answered Jul 4 in Set Theory & Algebra by toxicdesire (94 points) | 10 views

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#self doubt Function
Whether gof is one -one for the picture given below?

asked Jul 2 in Set Theory & Algebra by kshitij (13 points) | 5 views

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1 answer

#engineering mathematics
The number of multi sets of size 4 are possible with the elements of the set S={1,2,3,4,5,6} is

answered Jun 30 in Set Theory & Algebra by Arkaprava (117 points) | 8 views

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Rosen 7e Exercise-9.1 page no-582 Relations
Relation R on set of all real numbers (x, y)$\epsilon$R where x=1 how this relation is transitive? please explain?

answered Jun 26 in Set Theory & Algebra by Arkaprava (117 points) | 10 views

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Kenneth rosen (7th edition) chapter 9
Let (S,R) be a poset.show that(S,$R^{-1}$) is also a poset.where $R^{-1}$ is the inverse of R.explain with example.

asked Jun 25 in Set Theory & Algebra by BASANT KUMAR (9 points) | 10 views

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