EASY
VITEEE
IMPORTANT
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If G,* is a group such that a* b=b*a for two elements a and b, then

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Important Questions on Mathematical Reasoning, Binary Operation and Group Theory

EASY
VITEEE
IMPORTANT
The set of all non-zero real number with the operation defined on it by a  *b=ab2 is an abelian group. The identity of the group is
MEDIUM
VITEEE
IMPORTANT
In the group of non-zero rational numbers under the binary operation * given by  a *b=ab5 the identity element and the inverse of 8 are respectively.