Sonia had a recurring deposit account in a bank and deposited Rs. 600 per month for  $2^{\frac{1}{2}}$ years. If the rate of interest was 10% p.a., find the maturity value of this account.

Find the value of and 'y' if: 

$2 \left[ \begin{array}{cc} \mathrm{x}& 7\\ 9& \mathrm{y} - 5\end{array} \right] + \left[ \begin{array}{cc}6& - 7\\ 4& 5\end{array} \right] = \left[ \begin{array}{cc}10& 7\\ 22& 15\end{array} \right]$

3.

The circumference of the base of a cylindrical vessel is 132 cm and its height is 25 cm. Find the

 
(i) radius of the cylinder

(ii) volume of cylinder   ( use  $\mathrm{use} \mathrm{\pi } =\frac{22}{7}$)

If (k – 3), (2k + l) and (4k + 3) are three consecutive terms of an A.P., find the value of k.

Solve the following inequation, write down the solution set and represent it on the real number line: 

–2 + 10x ≤ 13x + 10 < 24 + 10x, x $\in$ Z

The 4^th term of a G.P. is 16 and the 7^th term is 128. Find the first term and common ratio of the series.

A man invests Rs. 22,500 in Rs. 50 shares available at 10% discount. If the dividend paid by the company is 12%, calculate: 

(i) The number of shares purchased

(ii) The annual dividend received.

(iii) The rate of return he gets on his investment. Give your answer correct to the
nearest whole number.

Cards bearing numbers 2, 4, 6, 8, 10, 12, 14, 16, 18 and 20 are kept in a bag. A card is drawn at random from the bag. Find the probability of getting a card which is: 

(i) a prime number.

(ii) a number divisible by 4.

(iii) a number that is a multiple of 6.

(iv) an odd number.

PQRS is a cyclic quadrilateral. Given ∠QPS = 73°, ∠PQS = 55° and ∠PSR = 82°,

calculate: 

(i) ∠QRS                     

(ii) ∠RQS                    

(iii) ∠PRQ   

If (x + 2) and (x + 3) are factors of  x³ + ax + b, find the values of 'a' and `b'.