Question

Total number of the positive real value 'x' such that x, [x], {x} from a GP where [.] and {.} denote the greatest integer function and fractional part respectively, is equal to:-
A) 2. B) 1. C) 0. D) None

Answer 1

Answer:

If x, {x}, ⌊x⌋ are in Geometric Progression, find x; x≠0.

Here, {x}=x−⌊x⌋

Some properties are pretty evident:

0≤{x}<1(1)

⌊x⌋≤x(2)