Verify whether the operation * defined on Q by a * b = ab/4 is associative or not.
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Answer:to be associative
a*(b*c)=(a*b)*c
Given:a*b=ab/4
L.H.S=a*(b*c)=a(b*c)/4
=abc/16
R.H.S(a*b)*c=(a*b)c/4
=abc/16
L.H.S=R.H.S
Therefore it is associative
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