Recent activity by sidd_07 / GATE Overflow for GATE CSE

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GO Classes Test Series 2024 | Programming | Test 1 | Question: 25
What will be the output of the following C program? #include<stdio.h> void main() { int a =0; int b = (a-- ? a++: a ? a++ : a-- ); printf("%d", b); } $0$ $-1$ $-2$ $2$

What will be the output of the following C program?#include<stdio.h void main() { int a =0; int b = (a ? a++: a ? a++ : a ); printf("%d", b); }$0$$-1$$-2$$2$

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commented Jul 8, 2022

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GO Classes CS Test Series 2025 | Discrete Mathematics | Topic Wise Test 1 | Question: 11
Translate the following sentences into First-order logic (FOL): If someone is noisy, everybody is annoyed. Use the following predicates : $\text{N}(x)\;:$ $x$ is noisy $\text{A}(x)\;:$ $x$ is annoyed Which of the ... $\forall x(\text{N}(x) \rightarrow \forall y(\text{A}(y)))$

Translate the following sentences into First-order logic (FOL): “ If someone is noisy, everybody is annoyed.”Use the following predicates :$\text{N}(x)\;:$ “$x$ is ...

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commented Jun 2, 2022

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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 $f(n) = n-1$ $f(n) = n^{2} + 1$ $f(n) = n^{3}$ $f(n) = \left \lfloor \frac{n}{2} \right \rfloor$

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 \lf...

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comment edited Jun 2, 2022

1 answer

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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 $\text{S}$ ... $\text{A}$ on which such relation $\text{S}$ can be defined.

We define a relation $\text{S}$ on a non-empty Set $\text{A}.$ The definition of relation $\text{S}$ is given in form of a first order logic formula below :$$\forall x \f...

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commented Jun 1, 2022

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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. ... statements is true? It is one to one but not onto It is onto but not one-one It is bijection It is neither One-One nor Onto

The below function is defined from a set of all positive integers to a set of all integers.$f(n) = \left\{\begin{matrix} (n-1)/2\;;& \text{if}\; n \;\text{is odd} \\ -n/2...

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answered May 30, 2022

1 answer

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GO Classes Weekly Quiz 10 | Discrete Mathematics | Set Theory, Mathematical Logic, Lattice | Question: 8

Let the universe for all quantified variables be the set of all novels. Assume the following predicates and constant symbols:$W(x,y) :\; x$ wrote novel $y$$L(x,y) : \;x$ ...

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comment edited May 18, 2022

2 answers

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can any one suggest resources for discrete mathematics for gate
suggest some good resources for discrete mathematics

suggest some good resources for discrete mathematics

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commented May 11, 2022

1 answer

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GO Classes 2023 | Weekly Quiz 7 | Question: 12
Let $\text{A, B}$ be two non-empty sets, with cardinality $3,4$ respectively. Let $\text{R}$ be a relation defined on the power set of $\text{A} \times \text{B}.$ Relation $\text{R}$ is reflexive, symmetric, transitive and antisymmetric. How many equivalence classes does relation $\text{R}$ have?

Let $\text{A, B}$ be two non-empty sets, with cardinality $3,4$ respectively. Let $\text{R}$ be a relation defined on the power set of $\text{A} \times \text{B}.$ Relatio...

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commented Apr 22, 2022

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kenneth h rosen chapter 1 section 1.5 nested quantifiers excercise 1.5 question 48
Show that ∀xP (x) ∨ ∀xQ(x) and ∀x∀y(P (x) ∨ Q(y)), where all quantifiers have the same nonempty domain, are logically equivalent. (The new variable y is used to combine the quantifications correctly.)

Show that ∀xP (x) ∨ ∀xQ(x) and ∀x∀y(P (x) ∨ Q(y)),where all quantifiers have the same nonempty domain,are logically equivalent. (The new variable y is used to...

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commented Apr 20, 2022

1 answer

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GO Classes 2023 | Weekly Quiz 5 | Question: 12
Let $\alpha, \beta $ be two propositional formulas. Which of the following assertions is true? $\alpha \models \beta$ if and only if the sentence $(\alpha \wedge \neg \beta)$ is unsatisfiable. If $\alpha\models \gamma $ ... $\alpha \models(\beta \vee \gamma)$ then $\alpha \models \beta $ or $\alpha \models \gamma $ (or both).

Let $\alpha, \beta $ be two propositional formulas.Which of the following assertions is true?$\alpha \models \beta$ if and only if the sentence $(\alpha \wedge \neg \beta...

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commented Apr 2, 2022

1 answer

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GO Classes 2023 | Weekly Quiz 3 | Question: 19
Let $F$ and $G$ be two propositional formula. Which of the following is/are TRUE? If $F \rightarrow G$ is satisfiable and $F$ is satisfiable, then $G$ is satisfiable. If two statements(propositions) are logically equivalent, then so are their ... . If a statement $q$ is true, then, for any statement $p$, the statement $p \rightarrow q$ is true.

Let $F$ and $G$ be two propositional formula. Which of the following is/are TRUE?If $F \rightarrow G$ is satisfiable and $F$ is satisfiable, then $G$ is satisfiable.If tw...

955 views

commented Apr 2, 2022

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a,b,c belong Z, if a2(square) +b2(square) =c2(square), then a or b is even
I have reached C is even now unable to move forward with contradiction.

I have reached C is even now unable to move forward with contradiction.

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answer selected Mar 25, 2022

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