Let $$A = \{ z \in C:1 \le |z - (1 + i)| \le 2\} $$

and $$B = \{ z \in A:|z - (1 - i)| = 1\} $$. Then, B :

The remainder when 3²⁰²² is divided by 5 is :

The surface area of a balloon of spherical shape being inflated, increases at a constant rate. If initially, the radius of balloon is 3 units and after 5 seconds, it becomes 7 units, then its radius after 9 seconds is :

Bag A contains 2 white, 1 black and 3 red balls and bag B contains 3 black, 2 red and n white balls. One bag is chosen at random and 2 balls drawn from it at random, are found to be 1 red and 1 black. If the probability that both balls come from Bag A is $${6 \over {11}}$$, then n is equal to __________.