Sets and Relations

In a statistical investigation of 1003 families of Calcutta, it was found that 63 families has neither a radio nor a TV, 794 families has a radio and 187 has TV. The number of families in that group having both a radio and a TV is

If \(A=\{x: x\) is a multiple of 8\(\}\) and \(B=\{x: x\) is a multiple of 12\(\}\), then \(A \cap B\) consists of multiple of

If A = {x : x is a multiple of 4} and B = {x : x is a multiple of 6}, then A \(\cap\) B consists of multiples of

Which of the following is not an equivalence relation in z?

If n(A) = 1000, n(B) = 500, n(A \(\cap\) B) \(\ge\) 1 and n(A \(\cup\) B) = P, then

If \(A = \{ x:{x^2} = 1\}\) and \(B = \{ x:{x^4} = 1\}\), then A \(\Delta\) B is equal to