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The set of rational numbers form an abelian group under _________

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The set of rational numbers form an abelian group under _________

(a) Association

(b) Closure

(c) Multiplication

(d) Addition

I got this question in an internship interview.

I'm obligated to ask this question of Group Axioms in section Groups of Discrete Mathematics

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Correct option is (c) Multiplication

Explanation: The set of nonzero rational numbers form an abelian group under multiplication. The number 1 is the identity element and q/p is the multiplicative inverse of the rational number p/q.

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