Fraction part 2

Fractional part of the number (3^(102))/(40) is :

The number of solution of the equastion |x-1|+|x-2|=[{x}]+{[x]}+1 , where [.] and {.} denotes greatest integer function and fraction part funstion respectively is :

fractional part of 2^(78) /31 is:

If the fractional part of the number (2^(403))/(15) is (k)/(15) then k is equal to

The fractional part of 2^(4n)/15 is (n in N) (A) 1/15 (B) 2/15 (C) 4/15 (D) none of these

The fractional part of 2^(4n)/15 is (n in N) (a) 1/15 (b) 2/15 (c) 4/15 (d) none of these

Solve the following equation (where [*] denotes greatest integer function and {*} represent fractional part function ) [x^(2)]+2[x]=3x , 0 le x le 2 .

Solve : x^(2) = {x} , where {x} represents the fractional part function.

The range of y=2^({x}) is , where {.} fractional part function

if f(x) ={x^(2)} , where {x} denotes the fractional part of x , then