Integer part 11

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

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

Show that the integral part of (5 sqrt(5) + 11)^(2n +1) is even where n in N .

Two integers are selected at random from the integers 1 to 11. If their sum is even find the probability that both integers are odd.

Two integers are selected at random from integers 1 through 11. If the sum is even, find the probability that both the numbers are odd.

Two integers are selected at random from integers 1 through 11. If the sum is even, find the probability that both the numbers are odd.

Estimate to the closest integer: What is (11)/(40)" of "(5)/(16)" of "120 ?

The sum of two integers is -11 . If one of them is 5, then find the other.

Find integers that are 'one less than' and 'one more than' the given integers : {:(a.,0,b.,-11,c.,19,d.,-50),(e.,100,f.,-101,g.,99,h.,-1):}