Let R1 be a relation from A = {1,3,5,7} to B = {2,4,6,8} and R2 be another…
GATE · 2004 · IT
Let R1 be a relation from A = {1,3,5,7} to B = {2,4,6,8} and R2 be another relation from B to C = {1,2,3,4} as defined below
(i) an element x in A is related to an element y in B if x + y is divisible by 3
(ii) an element x in B is related to an element y in C if x + y is even but not divisible by 3.
Which is the composite relation R1R2 from A to C?
- A.
{(1,2), (1,4), (3,3), (5,4), (7,3)}
- B.
{(1,2), (1,3), (3,2), (5,2), (7,3)}
- C.
{(1,2), (3,2), (3,4), (5,4), (7,2)}
- D.
{(3,2), (3,4), (5,1), (5,3), (7,4)}
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