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21 . 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. 1,5 B. 1,7
C. 1,3,5 D. None of these

22 . Hasse diagrams are drawn for
A. lattices
B. boolean Algebra
C. partially ordered sets
D. none of these

23 . A self-complemented, distributive lattice is called
A. Self dual lattice B. Complete lattice
C. Modular lattice D. Boolean algebra

24 . 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. 1 B. 5
C. 15 D. 30

25 . 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. 1 B. 3
C. 4 D. 7




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