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21. In the lattice defined by the Hasse diagram given below, how many complements does the element 'e' have?
2
3
0
1
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22. What values of A, B, G and D satisfy the followingsimultaneous boolean equations? A'+AB = 0, AB=AC,AB+AC'+CD = CD'
A = 1, B = 0, C = 0, D = 1
A = 1, B = 1, C = 0, D = 0
A = 1, B = 0, C = 1, D = 1
A = 1, B = 0, C = 0, D = 0
23. If set A = {1, 2, 3, 4}, then ordered pairs in the relation determined by the Hasse diagram in the figure given below, are described as
{(1, 1), (2, 2), (3, 3), (4, 4), (1, 3), (1, 4), (2, 3), (2, 4), (3, 4)}
(1, 1), (2, 2), (3, 3), (4, 4), (1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (3, 4)}
both (a) and (b)
none of these
24. Matrix of the partial order whose Hasse diagram is given below is
None of these
25. Every finite subset of a lattice has
a LUB and a GLB
many LUBs and a GLB
many LUBs and many GLBs
either some LUBs or some GLBs
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