Let `A=[x in Z^(+):1<=x<=25}` and `B={ax-b:x in A},a>=0`. If mean of set B is 25 and variance of set B is 208, then find a+2b .

Let A and B be two sets such that A - B = B-A, then

Let f(x)=a+2b cos^(-1)x,b>0. If domain and range of f(x) are the same set,then (b-a) equal to:

Let f(x)=a+2b cos^(-1)x, b gt0 . If domain and range of f(x) are the same set, then (b-a) is equal to :

Let A and B be two non empty subsets of set X such that A is not a subset of B ,then:

Let A and B be two non-empty subsets of a set X such that A is not a subset of B then

Let A and B be two finite sets such that n(A) = 20, n(B) = 28 and n(A ∪ B)=36 , then find n(A ∩ B) .

Let A be set of first 25 natural numbers and a,b,c are three distinct elements of set A, then number of unordered triplets (a,b,c) if-