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:

Who find the largest no. of chocolates when 930 chocolates were distributed among three students in the ratio of $\frac{1}{3}:\frac{1}{2}:\frac{1}{5}$?

Q3:

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.

Q4:

A basket contains 2 black, 7 red, and 5 white balls. 2 balls are drawn at random. Find the probability for the balls to be of different colors.

Q5:

The areas of triangles A and B having equal bases are in the ratio 8 : 13. If the height of triangle B is 52 cm, then find the height of triangle A.

Q6:

The simple interest on the sum of money in 9 years at 11.5% p.a. is Rs. 1275 more than the simple interest on the same sum in 6 years at 13% p.a. What is the sum?

Q7:

The ratio of the weight of four family members P, Q, R, and S is 5:4:3:2. If Q’s weight is 10 kg more than R’s weight, then what is the weight of S?

Q8:

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.

Q9:

What is the probability of getting a prime number if an unbiased dice is thrown once?

Q10:

The product of the first and last term of an AP is 160. The sum of alternative terms starting from the second term is 66. If there are 7 terms in an AP. Find the A.P.

Q11:

A number N is chosen at a random from –5, –4, –3, –2, –1, 0, 1, 2, 3, 4, 5. Find the probability that |N| < 4.

Q12:

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