# Set Theory and Algebra MCQ - Partial Ordering , Lattice and Boolean Algebra

1:

Let D30 = {1, 2, 3, 4, 5, 6, 10, 15, 30} and relation I be partial ordering on D30. The all lower bounds of 10 and 15 respectively are

 A. 1,3 B. 1,5 C. 1,3,5 D. None of these Answer Report Discuss Option: B Explanation : Click on Discuss to view users comments. Vinodh Routhu said: (5:20am on Monday 25th August 2014) lower bounds are 1,5 because remaining all are upper bounds Write your comments here:
2:

Hasse diagrams are drawn for

 A. partially ordered sets B. lattices C. boolean Algebra D. none of these Answer Report Discuss Option: D Explanation : Click on Discuss to view users comments. bhanu said: (1:08am on Thursday 28th September 2017) answer is 'A' because hasse diagram is made for partially ordered sets according to google. Write your comments here:
3:

A self-complemented, distributive lattice is called

 A. Boolean algebra B. Modular lattice C. Complete lattice D. Self dual lattice Answer Report Discuss Option: A Explanation : Click on Discuss to view users comments. Write your comments here:
4:

Let  D30 = {1, 2, 3, 5, 6, 10, 15, 30} and relation I be a partial ordering on D30. The lub of 10 and 15 respectively is

 A. 30 B. 15 C. 10 D. 6 Answer Report Discuss Option: A Explanation : Click on Discuss to view users comments. Write your comments here:
5:

Let X = {2, 3, 6, 12, 24}, and ≤ be the partial order defined by X Y if X divides Y. Number of edges in the Hasse diagram of (X,   ) is

 A. 3 B. 4 C. 5 D. None of these Answer Report Discuss Option: B Explanation : Click on Discuss to view users comments. Write your comments here:

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