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IIIT Hyderabad Practice Quiz : Discrete Mathematics-2
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Question 1
What is the maximum number of edges present in a disconnected graph on n ≥ 3 vertices?
Question 2
The coefficient of in is ____________.
Question 3
Let G be an arbitrary group. Consider the following relations on G:
R1: ∀𝑎,b ∈ 𝐺, 𝑎 𝑅1 𝑏 if and only if ∃𝑔 ∈ 𝐺 such that a = g-1 bg
R2: ∀𝑎,b ∈ 𝐺, 𝑎 𝑅2𝑏 if and only if a = b-1
Which of the above is/are equivalence relation/relations?
Question 4
What is the first order predicate calculus statement equivalent to the following?
“Everyone is liked by Someone.”
Where likes(x, y) represent x likes y.
Question 5
The g -1({0}) for the function g(x)= ⌊x⌋ is ___________
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Jun 29GATE & PSU CS