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If is a group such that for two elements and then
(a)
(b)
(c)
(d)None of these

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Important Questions on Mathematical Reasoning, Binary Operation and Group Theory
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In the truth table for the statement the last column has the truth value in the following order is

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The identity element for the binary operation defined by (the set of all non-zero rational numbers) is

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The set of all non-zero real number with the operation defined on it by a is an abelian group. The identity of the group is

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If are simple propositions with truth values then the truth value of is

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In the group of non-zero rational numbers under the binary operation given by the identity element and the inverse of are respectively.

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If is a group such that for all then is

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In a group if there exists an element such that for all then order of the group is
