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GATE 2023 Discrete Mathematics Quiz 25

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Question 1

If order of a group G is 7 and H is sub group of G such that order of H>1 this order of H is

Question 2

The relation ≤ is a partial order if it is ___________

Question 3

If every two elements of a poset are comparable then the poset is called ________

Question 4

What is the possible number of reflexive relations on a set of 5 elements?

Question 5

Let A = {0, ±1, ±2, 3}, Consider the function f : A → R where R is the set of all real numbers, defined by
f(x) =

- 2

+ 3x + 1
for x ∈ A. The range of f is?

Question 6

Let R be a relation over the set of integers, and (x,y)

R if and only if |x-y|

2.Then R is ____.

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May 20GATE & PSU CS