Integer part 7

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

Integral part of (7 + 4sqrt3)^n is (n in N)

If x= (8 + 3 sqrt(7))^(n) , where n is a natural number, power that the integral part of x is an odd integer and also show that x - x^(2) + x[x] = 1 , where [.] denotes the greatest integer function .

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

If an integer a is greater 7, then |7-a|= (a) 7-a (b) a-7 (c) 7+a (d) -7-a

If (3sqrt3 + 5)^7 = P + F where P is an integer and F is a proper fraction, then F(P + F) =

If x is an integer and y = -3x + 7 , what is the least value of x for which y is less than 1?

If (8 + 3sqrt(7))^(n) = P + F , where P is an integer and F is a proper fraction , then

Complex numbers whose real and imaginary parts x and y are integers and satisfy the equation 3x^(2)-|xy|-2y^(2)+7=0

If the sum of the last 3 integers in a set of 7 consecutive integers is 258, what is the sum of the first 4 integers?