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A function f(x) is defined as f(x) = x – [x], where [.] represents GIF then __________

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A function f(x) is defined as f(x) = x – [x], where [.] represents GIF then __________

(a) f(x) will be intergral part of x

(b) f(x) will be fractional part of x

(c) f(x) will always be 0

(d) none of the mentioned

The question was asked during an internship interview.

My question is based upon Floor and Ceiling Function topic in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

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The correct choice is (b) f(x) will be fractional part of x

Explanation: A integral part of a number is subtracted from that number we are left with the fractional part of that number.

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