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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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