Question

If X = Floor(X) = Ceil(X) then __________

(a) X is a fractional number

(b) X is a Integer

(c) X is less than 1

(d) none of the mentioned

The question was asked in an interview for internship.

This key question is from Floor and Ceiling Function topic in section Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

Answer 1

Right option is (b) X is a Integer

To explain I would say: Only in case of integers  X = Floor(X) = Ceil(X) holds good.