Mathematics Tes...

A bag contain 5 blue and 7 green balls. A balls is drawn at random from the bag, its colour is observed and this ball along with three additional balls of same colour and one additional ball of other colour are returned to the bag. If now a ball is drawn at random from the bag, then probability that this ball is blue, is

Which of the following statements about a universal set is correct?

Let T_n be the number of all possible triangles formed by joining vertices of a n -sides regular polygon. If T_n+1 − T_n = 10 then the value of n is

A furniture dealer wants to maximize his profit by investing in tables and chairs. The profit per table is Rs 250, and the profit per chair is Rs 75. The dealer has a maximum investment capacity of Rs 50,000 and a storage limit of 60 pieces. The cost of a table is Rs 2,500, and the cost of a chair is Rs 500.

What is the optimal number of tables and chairs the dealer should buy to maximize his profit?

Five balls of different colours are to be placed in three boxes of different sizes. Each box can hold all five balls. In how many ways can we place the balls so that no box remains empty

A parallelogram is cut by two sets of m lines parallel to its sides. The number of parallelograms thus formed is