For any real number `x , [x]` denotes the largest integer less than or equal to x and `{x}=x-[x]` The number of real solutions of `7[x]+23{x}=191` is (A) 0 (B) 1 (c) 2 (D) 3

The number of real solution of x^2-3|x|+2=0 are

The number of real solutions of x^(2)-6|x|+8=0 is

The number of real solution of the equation e^x=x is

Let [x] denotes the greatest integer less than or equal to x. If f(x) =[x sin pi x] , then f(x) is

if [x] denotes the greatest integer less than or equal to x then integral int_0^2x^2[x] dx equals

Let [x] denotes the greatest integer less then or equal to x. If x=(sqrt3+1)^5 , then [x] is equal to

For a real number y, let [y] denotes the greatest integer less than or equal to y. Then the function f(x) = fractan[(x-pi)pi] (1+[x]^2 is :

For any real number x , let [x] denote the largest integer less than or equal to x , Let f be a real-valued function defined on the interval [-10 , 10] be f(x)={x-[x], if [x] is odd, 1+[x]-x ,if[x] is even Then the value of (pi^2)/(10)int_(-10)^(10)f(x)cospixdx is____

Let [x] denote the greatest integer less than or equal to x for any real number x. Then lim_(n to oo) ([n sqrt(2)])/(n) is equal to

Number of real solutions of sqrt(x)+sqrt(x-sqrt(1-x))=1 is (a) 0 (b) 1 (c) 2 (d) infinite