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Discrete Maths : Nuclear Quiz 3
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Question 1
Let G be a group of order 6, and H be subgroup of G such that 1 < |H| < 6 .
Which one of the following options is correct?
Question 2
Let (Q,+) be a group where Q is set of rational numbers. Which of the following is a subgroup of Q.
Question 3
Let M is the set of all non-singular matrix and ‘*’ be the binary operation which is defined as matrix multiplication then (M, *) is?
Question 4
Consider the poset (Z, +) where Z represents set of all integers {0, +1, -1, +2, -2, +3, -3, ….} and the binary operation is addition. Choose the most appropriate option regarding the given poset among the following.
Question 5
Elizabeth is planning a trip. She wants to fly out of Charlotte, visit New York, visit Hollywood, and end up at her parent's home in Dallas. Which graph would be best for this scenario?
Question 6
The minimum number of colours that is sufficient to vertex-colour any planar graph is ______.
Question 7
The problem of finding a path in a graph that visits every vertex exactly once is called?
Question 8
If a planar graph, having 25 vertices divides the plane into 17 different regions, then how many edges are used to connect the vertices in this graph.
Question 9
How many distinguishable permutations of the letters in the word BANANA are there ?
Question 10
There are 6 periods in each working day of a school. In how many ways can one organize 5 subjects such that each subject is allowed at least one period?
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Sep 28GATE & PSU CS