Three consecutive positive integers k, l and m are such that l\(^2\) = 3(k+m). Find the value of m.

If X = {n\(^2\) + 1:n = 0,2,3} and Y = {n+1:n=2,3,5}, find X∩Y.

A book seller sells Mathematics and English books. If 30 customers buy Mathematics books, 20 customers buy English books and 10 customers buy the two books. How many customers has he altogether?

If 2x\(^2\) - kx - 12 is divisible by x-4, Find the value of k.

Factorize completely; (4x+3y)\(^2\) - (3x-2y)\(^2\)