If [x] denotes the least integer greater than or equal to x

The least integer function takes any real number as the input; the output is the smallest integer greater than/equal to the number provided as the input.
For example, if x = 3.7, [x] = 4 since the smallest integer bigger than 3.7 is 4.

Strategy to solve least integer functions:

1) Plot the given value on the number line
2) The least integer for the given value will be the closest integer to the right, on the number line.

The original question stem, “Is [x] = 0?” can be rephrased as “Is -1<x≤0?”.

Statement I alone is insufficient to answer the question. Answer options A and D can be eliminated. Possible answer options are B, C or E

Statement II alone is insufficient to answer the question. Answer option B can be eliminated. Possible answer options are C or E.

Combining the data given in statements I and II, the common range is -1<x<0. This is sufficient to answer the question with a definite YES.
Statements I and II are sufficient when taken together. Answer option E can be eliminated.

The correct answer option is C.

Hope that helps!
Aravind B T