Consider f(x) = log[x] [x] where [.] is the greatest integer function and {x} is fractional part function.
1. f(x) is
(A) a one-one function
(B) a many-one function
(C) a odd function
(D) a periodic function
2. Consider the inequality f(x) < 2. Number of solutions of this inequality in x ∈ (1, 2) is/are
(A) 0
(B) 1
(C) 3
(D) infinitely many
