Recent questions and answers in Mathematical Logic - GATE CSE Doubts

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GATE GURU:LINEAR ALGEBRA

answered 12 hours ago in Mathematical Logic by Verma Ashish (306 points) | 9 views

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GATE GURU: LINEAR ALGEBRA TOPIC TEST
The number of distinct possible square matrices of order 2, with each entry 2 (or) 0 (or) -2 is __________________

answered 19 hours ago in Mathematical Logic by Satbir (3.2k points) | 7 views

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The solution of the recurrence relation
an=4an-1+3n2n where a0=4.

asked 1 day ago in Mathematical Logic by altamash (43 points) | 8 views

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Engineering Math: Continuity Doubt
Is this function $y=x^{2}$ bounded between $\left [ -1,1 \right ]$? What bounded actually represents?

asked 3 days ago in Mathematical Logic by srestha (419 points) | 5 views

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SELF DOUBT MADE EASY
How to check whether this function is $SURJECTIVE$ or $NOT$?

asked 3 days ago in Mathematical Logic by Debapaul (211 points) | 9 views

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Mathematical Logic (ACE)
Consider the following arguments ... Which of the following are valid?

answered 4 days ago in Mathematical Logic by Satbir (3.2k points) | 28 views

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ACE Test series: Propositional Logic
Which of the following statement is valid? $A)\left \{ \forall \left \{ P\left ( x \right )\vee Q\left ( x \right ) \right \}, \forall x Q\left ( x \right ) \right \}\Rightarrow \exists x P\left ( x \right )$ ... We cannot solve it putting simple logic, We need to use propositional formula here, right?

answered Nov 5 in Mathematical Logic by Satbir (3.2k points) | 21 views

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Self doubt: mathematical logic
$(i) \exists(R\rightarrow I)\equiv \forall R\rightarrow \exists I$ $(ii)\forall (R\rightarrow I)\equiv \exists R\rightarrow\forall I $ Are both of them coreect?? I have doubt in second one...

answered Nov 3 in Mathematical Logic by Satbir (3.2k points) | 10 views

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Self doubt -non isomorphic graph
Consider a graph G and it's complement is denoted by G', how many non isomorphic graph G exist such that G and G' both are bipartite??

answered Oct 22 in Mathematical Logic by Vimal Patel (224 points) | 45 views

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Discrete Maths : GATE GURU TEST
Ans should be (II) only right? or should it be (II) and (III) According to me only II is correct as in III we are defining another variable altogether, though we know that x is dog. Any help will be highly appreciated.

asked Oct 21 in Mathematical Logic by Debapaul (211 points) | 8 views

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GATE GURU TEST SERIES: 2019 Discrete Maths

answered Oct 21 in Mathematical Logic by GAITONDE (1.5k points) | 16 views

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Discrete Mathematics : Self doubt
$($ $∀x A(x)$ $∪$ $∀x B(x)$ $)$ $→$ $∀x$ $[$ $A(x)$ $ ∪ $ $B(x)] $ $Is$ $this$ $formula$ $VALID$?

answered Oct 20 in Mathematical Logic by Mk Utkarsh (158 points) | 16 views

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MADE EASY: DISCRETE MATHS

answered Oct 20 in Mathematical Logic by Mk Utkarsh (158 points) | 23 views

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GATE GURU TEST SERIES
My ans is 10, but ans given is 500. They have considered the maximum and minimum values, instead of maxima or minima.. who is right?

asked Oct 4 in Mathematical Logic by Debapaul (211 points) | 14 views

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made easy (eigen value)

asked Oct 1 in Mathematical Logic by altamash (43 points) | 18 views

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Madeeasy test-seriese
Consider the following first order logic statements: I: $\forall_x\forall_y p(x,y)$ II: $\forall_x\exists_y p(x,y)$ III: $\exists_y\exists_x p(x,y)$ IV: $\exists_y\forall_x p(x,y)$ Which of the following is not true about above statements? (A) if I is ... $y$ but in this case III will be false. So, options C is also false and hence answer too. Is my argument correct or not?

asked Sep 30 in Mathematical Logic by Vimal Patel (224 points) | 17 views

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Gatebook: Logic
Which of the following first order logic statement is equivalent to below statement ? If anyone cheats, everyone suffers. S1: S2: A. Only S1 B. Only S2 C. Both S1 and S2 D. None

answered Sep 28 in Mathematical Logic by Satbir (3.2k points) | 18 views

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Doubt lower and upper bound hasse diagram Rosen book Discrete mathematics [closed]

answered Sep 28 in Mathematical Logic by Rudr Pawan (672 points) | 19 views

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Self Doubt: First order logic
Which of these does not correctly represent “Every person loves at least one corgi”? $\forall x[person(x)\rightarrow \exists y[corgi(y)\Lambda Loves(x,y)]]$ $\forall x\exists y[person(x)\rightarrow corgi(y)\Lambda Loves(x,y)]$ $\exists y\forall x[person(x)\rightarrow corgi(y)\Lambda Loves(x,y)]$

answered Sep 27 in Mathematical Logic by Satbir (3.2k points) | 36 views

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Kenneth Rosen exercise 1.4 ques 11
Let S(x) be the predicate "x is a student" F(x) be "x is a faculty member" And A(x,y) the predicate "x has asked y a question" where the domain consists of all people associated with ... wrong in my answer and how kenneth rosen answer is correct. Please tellhttps://csedoubts.gateoverflow.in/?qa=blob&qa_blobid=16705169279570597075

answered Sep 26 in Mathematical Logic by mb14 (13 points) | 24 views

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Linear algebra eigen value
let A be a 2*2 matrix with integer entries. Which of following could be it's eigen value. A.1/root(2) B.${\sqrt[3]{2}}$ C.${\sqrt[2]{2}}$ D.$\prod$(pie)

asked Sep 25 in Mathematical Logic by amit166 (30 points) | 17 views

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Gatebook: Set Theory
Let is a partial order relation defined on natural numbers. Identify the false statement? (A). is distributive but not complemented lattice (B). is not a lattice (C). is not Boolean lattice (D). Element 1 doesn't have complement

answered Sep 22 in Mathematical Logic by GAITONDE (1.5k points) | 29 views

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sakshi IIT JEE Combinatoric question.

answered Sep 19 in Mathematical Logic by Bikram (1.2k points) | 19 views

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Discrete Maths ACE Test Series Test 9 Q6,7
The solution they have given is lengthy. I think there must be some shortcut but unable to recall it. Please help. Thanks.

asked Sep 16 in Mathematical Logic by DukeThunders (251 points) | 18 views

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Kenneth-Rossen
Is grid and hypercube in syllabus?

asked Sep 14 in Mathematical Logic by kshitij (13 points) | 13 views

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Self doubt-Sublattice
Is L={a,b} a sublattice?

asked Sep 13 in Mathematical Logic by kshitij (13 points) | 11 views

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#ME,gate 2010 #Probability and statistics
A box contains 2 washers,3 nuts and 4 bolts. Items are drawn from the box at random one at time without replacement.the probability of drawing 2washers first followed by 3 nuts and 4 bolts is

answered Sep 10 in Mathematical Logic by GAITONDE (1.5k points) | 14 views

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Kenneth Rossen
Please explain the second paragraph.Like how they are constructing a partial ordering on the Cartesian product of two posets? They have also given an example if you can explain that also it will be helpful. Book-Kennetg H rossen (sixth edition) Topic-partial ordering Page-506

asked Sep 10 in Mathematical Logic by kshitij (13 points) | 6 views

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Self doubt descrete math
Consider R is binary relation on A×B where cardinality of set A is 5 and that of B is 6 then,total numbers of possible relation are ?? My answer $2^{900}$ [closed]

asked Sep 7 in Mathematical Logic by Prince Sindhiya (9 points) | 11 views

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Self doubt descrete maths (relations)
Consider R is binary relation on A×B where cardinality of set A is 5 and that of B is 6 then total numbers of possible relation are? My answer is $2^{900}$

asked Sep 7 in Mathematical Logic by Prince Sindhiya (9 points) | 17 views

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Aptitude ,Self doubt
Which digit will be left if we delete odd place numbers from 'n' natural numbers till one digit is left? For e.g. First, we delete 1,3,5 and then 2,4,6 left. Then we del 2,6,10 and so on. I need a direct formula for this problem.

asked Sep 7 in Mathematical Logic by rishabhgupta12 (12 points) | 10 views

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Discrete mathematics complete

answered Sep 5 in Mathematical Logic by Kushagra गुप्ता (102 points) | 27 views

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Discrete mathematics 7

answered Sep 5 in Mathematical Logic by Satbir (3.2k points) | 19 views

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Discrete mathematics ace aca

answered Sep 5 in Mathematical Logic by Satbir (3.2k points) | 13 views

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Discrete mathematics ace

answered Sep 5 in Mathematical Logic by Satbir (3.2k points) | 16 views

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3 answers

self doubt lattices
Which of the following is/are true: In distributive lattice; complements are unique? All complemented lattices are distributive? All distributive lattices are complemented? According to me- for complemented lattice - each element must have atleast 1 complement for distributive lattice - ... 1 complement so 3 is wrong. and 2 is true? what about 1? answer is only 1 is right. HOW?

answered Sep 2 in Mathematical Logic by nadeshseen (42 points) | 15 views

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self doubt - Can we replace
Can we replace bi-directional operator by ex-nor operator in mathematical logic, when bi-directional operator gives tautology? e.g if there is A <=> B, then can we write it as (~a)(~b) + ab? plzz elaborate

answered Sep 1 in Mathematical Logic by Bikram (1.2k points) | 18 views

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Predicate logic
“Everyone has exactly one best friend” Which of the following first order logic statements correctly represents above English statement? $\text{BF(x,y)} = \text{x and y are best friends}$ $S1 : \forall x \exists y \forall z (BF(x,y) \wedge \neg BF(x,z) \implies (y \neq z))$ $S2: \forall x \exists y (BF(x,y) \implies \forall z [(y \neq z)] \implies \neg BF(x,z)) $

answered Aug 27 in Mathematical Logic by Satbir (3.2k points) | 73 views

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Express it using logic. "There are exactly two systems that monitor every re mote server"

answered Aug 25 in Mathematical Logic by Bikram (1.2k points) | 15 views

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what will be the answer?
which of the following options are equivalent to statement?

answered Aug 25 in Mathematical Logic by Satbir (3.2k points) | 19 views

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