The number of integral values of n such that the equation 2n{x} = 3x + 2[x]has exactly 5 solutions.

The number of integral values of n (where n>=2) such that the equation 2n{x} = 3x + 2[x] has exactly five solutions (where [.] denotes the greatest integer function and {x} denotes the fractional part of x) is

The number of integral values of n (where n>=2 ) such that the equation 2n{x}=3x+2[x] has exactly 5 solutions. { Here {x} is fractional part of x and [x] is integral part of x}

The number of integral values of 'n' so that sin x (sin x + cos x ) =n has at least one solution

The number of integral values of k for which the equation 7 cos x + 5 sinx = 2k+1, has a solution is :

Number of integral values of k for which the equation 4cos^(-1)(-|x|)=k has exactly two solutions,is:

The number of integral values of k for which the equation |x^(2)-5|x|+6|=k has four solution is

The number of integral values of k such that , the system equations kz-2y-z=x,ky-z=z+3x and 2x+kz=2y-z , has non trivial solution,is n then (n)/(2) is

Find the number of integral value of n so that sin x(sin x+cos x)=n has at least one solution.

Number of integral values of b for which the equation (x^3)/3-x=b has three distinct solutions is____