Q1:

Find the 20^th term of the following series:

$\sqrt{3},\frac{1}{\sqrt{3}},\frac{1}{3\sqrt{3}},\frac{1}{a\sqrt{3}}$, …………….

Q2:

A bag contains 4 white balls and 5 blue balls. If a ball is drawn at random, find the probability that it is a blue ball.

Q3:

In a class of 7 girls and 8 boys, 13 students are chosen at random. Find the probability that 6 girls and 7 boys are chosen.

Q4:

Sunil took a loan from a bank at the rate of 15% p.a. simple interest. After 5 years he had to pay Rs. 6300 as a interest. Find the amount he borrowed.

Q5:

Kajal borrowed Rs. 6400 from Saloni at compound interest for 2 years. The rate of interest for first year being 10% p.a. and 8% per annum for the second year. Calculate the amount that Kajal has to return to Saloni after 2 years.

Q6:

The ratio of Rita’s age to the age of her mother is 3 : 11. The difference of their ages is 24. What will be the ratio of their ages after 3 years?

Q7:

The contents of two vessels containing water and milk are in the ratio 1 : 2 and 2 : 5 are mixed in the ratio 1 : 4. The resulting mixture will have water and milk in the ratio:

Q8:

If x : 4 = 1 : 5 and 4 : z = 4 :7, find x : z

Q9:

A certain sum of chocolates is divided among children A, B, and C. The ratio of A: B: C = 100: 65: 40. If C’s share is 8, find the sum of chocolates.

Q10:

Find the sum of the following G.P:

11, $\frac{11}{10}$, $\frac{11}{100}$, $\frac{11}{1000}$………..n terms

Q11:

In a particular city, 40% of people read Hindi Newspaper, 30% read English Newspapers and 20% read both. If one person is selected at random, find the probability that he reads English or Hindi.

Q12:

A box contains 12 red marbles, 14 green marbles, and 10 blue marbles. The size of each marble is different. Find the probability that the blue marble being selected is the biggest blue marble.