Integer part 9

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

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

Two integers are selected at random from the integers 1 to 9. If their sum is even, then find the probability that both integers are odd.

Let p(n) = (n+1)(n+3) (n+5)(n+7)(n+9) . What is the largest integer that is a divisor of p(n) for all positive even integers n ?

Let a, b, c, d be distinct integers such that the equation (x - a) (x -b) (x -c)(x-d) - 9 = 0 has an integer root 'r', then the value of a +b+c+d - 4r is equal to :

Compare the integers : -9 and -17

The sum of all values of integers n for which (n^2-9)/(n-1) is also an integer is

What is the least possible integer value for which 40% of that integer is greater than 9.6?

Suppose an integer from 1 through 1000 is chosen at random, find the probability that the integer is a multiple of 2 or a multiple of 9.

Suppose an integer from 1 through 1000 is chosen at random, find the probability that the integer is a multiple of 2 or a multiple of 9.