Q 1: Let A = N x N and let * be a binary operation on A defined by (a,b)*(c,d) = (ac, bd). Show that (A,*) is associative. Answer:

Q 2: Let * be a binary operation defined on Q. Find if a*b = ab/4 , for a,b € Q is associative. Answer:

Q 3: Let * be a binary operation defined on Q. Check if a*b = a^{2}+b^{2}, for a,b € Q is commutative. No Yes

Q 4: Let * be a binary operation defined on Q. Check if a*b = ab, for a,b € Q is associative. Answer:

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