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SY Common ISE ODD 25-26

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Let A,B,C be finite sets with |A|=20, |B|=30, |C|=25 and |A∩B|=10, |B∩C|=12, |C∩A|=8. What is the minimum possible value of |A∪B∪C|?
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The sum of all entries in the adjacency matrix of an undirected graph equals:

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Consider the given graph

 Its Minimum cost spanning tree is ___

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The number of edges in a complete graph with n vertices is:

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Which of the following statements is/are TRUE for undirected graphs? 

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The complement of a graph G has:

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Resolve (P ∨ Q) and (¬P ∨ R) on P. What is the resolvent?
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Convert to CNF: (P → (Q ∧ R)) → S. Which is equivalent CNF?
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