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A floor function map a real number to ___________

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A floor function map a real number to ___________

(a) smallest previous integer

(b) greatest previous integer

(c) smallest following integer

(d) none of the mentioned

This question was posed to me in quiz.

This intriguing question originated from Floor and Ceiling Function in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

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Best answer
Right answer is (b) greatest previous integer

The explanation: Floor function f(x) is the largest integer not greater than x.

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