Integer part 12

If f(x)=(x^(3)+x+1)tan(pi[x]) (where, [x] represents the greatest integer part of x), then

Let [x] denote the greatest integer part of a real number x, if M= sum_(n=1)^(40)[(n^(2))/(2)] then M equals

Consider the function f(x)=cos^(-1)([2^(x)])+sin^(-1)([2^(x)]-1) , then (where [.] represents the greatest integer part function)

If f(x)=(x^(2)-[x^(2)])/(1+x^(2)-[x^(2)]) (where [.] represents the greatest integer part of x), then the range of f(x) is

If f(x)=(x^(2)-[x^(2)])/(x^(2)-[x^(2)-2]) (where, [.] represents the greatest integer part of x), then the range of f(x) is

If [x] and (x) are the integral part of x and nearest integer to x then solve (x)[x]=1

Number of digits in integral part of 60^(12)+60^(-12)-60^(-15)is ("given log"2=0.3030.log3=0.4771)

The product of 12% of an integer and 20% of the next integer is 61.2. Find the integer.

The integer that must be subtracted from - 5to obtain - 12 is

If x is a positive integers and x+12=x^(2) , what is the value of x?