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Discrete Mathematics - Questions & Answers for Competitive Exams | GkSeries

Questions
13. Traveling salesman problem is example for_______graph.
  • [A] eulerian
  • [B] hamiltonian
  • [C] tournament
  • [D] planar

Answer: Option [B]

14. If a normal form contains all minterms, then it is ________.
  • [A] a tautology
  • [B] a contradiction
  • [C] a contingency
  • [D] both A and B

Answer: Option [A]

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15. PCNF is also called _______.
  • [A] sum of product canonical form.
  • [B] product of sum canonical form
  • [C] sum canonical form
  • [D] product canonical form

Answer: Option [B]

16. Max-terms of two statements are formed by introducing the connective _________.
  • [A] disjunction
  • [B] conjunction
  • [C] negation
  • [D] conditional

Answer: Option [A]

17. The number of relations from A = {a,b,c] to B = {1,2] are __________.
  • [A] 6
  • [B] 8
  • [C] 32
  • [D] 64

Answer: Option [D]

18. A graph is planar if and only if it does not contain ________.
  • [A] subgraphs homeomorphic to k3 & k3,3
  • [B] subgraphs isomorphic to k5 or k3,3
  • [C] subgraphs isomorphic to k3 & k3,3
  • [D] sub graphs homeomorphic to k5 or k3,3

Answer: Option [D]

19. sub graphs homeomorphic to k5 or k3,3
  • [A] one arrow between each pair of distinct vertices
  • [B] two arrows between each pair of distinct vertices
  • [C] n-1 arrows between each pair of distinct vertices
  • [D] path between every two distinct vertices

Answer: Option [A]

20. If a compound statement is made up of three simple statements then the number of rows in the truth table is _______.
  • [A] 2
  • [B] 4
  • [C] 6
  • [D] 8

Answer: Option [D]

21. If R= {(x, 2x)] and S= {(x, 4x)] then R composition S=____.
  • [A] {(x, 4x)]
  • [B] {(x, 2x)]
  • [C] {(x, 8x)]
  • [D] {(x, 10x)]

Answer: Option [C]

22. A regular grammar contains rules of the form _______.
  • [A] A tends to AB
  • [B] AB tends to a
  • [C] A tends to aB
  • [D] AB tends to CD

Answer: Option [C]

23. The NAND statement is a combination of ________.
  • [A] NOT and AND
  • [B] NOT and OR
  • [C] AND and OR
  • [D] NOT or OR

Answer: Option [A]

24. The NOR statement is a combination of ________.
  • [A] NOT and AND
  • [B] NOT and OR
  • [C] AND and OR
  • [D] NOT or OR

Answer: Option [B]

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