Let R1 be a relation from A = {1,3,5,7} to B = {2,4,6,8} and R2 be another…

2004

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?

  1. A.

    {(1,2), (1,4), (3,3), (5,4), (7,3)}

  2. B.

    {(1,2), (1,3), (3,2), (5,2), (7,3)}

  3. C.

    {(1,2), (3,2), (3,4), (5,4), (7,2)}

  4. D.

    {(3,2), (3,4), (5,1), (5,3), (7,1)}

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Correct answer: C

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