2, 3.1, 5.3, 8.6, 13, 18, 25.1

 Find the median of
Q(1) 3, 11, 7, 2, 5, 9, 9, 2, 10
(ii) 9, 25, 18, 15, 6, 16, 8, 22, 21
(iii) 21, 15, 6, 25, 18, 13, 20, 9, 16, 8, 22

3, 7, 6, 5, 9, 3, 12, 1, 15, (......) (a) 18             (b) 13          (c) -1          (d) 3

find the median of:
(i) 2,10,9,9,5,2,3,7,11
(ii) 15,6,16,8,22,21,9,18,25
(iii) 20,13,18,25,6,15,21,9,16,8,22
(iv) 7,4,2,5,1,4,0,10,3,8,5,9,2

Which of the following sequences are in A.P.? $\left(i\right)1,3,6,10,...\left(ii\right)3,8,13,18,...$
$\left(iii\right)7,4,1,-1,...\left(iv\right)-10,13,-16,19,...$

For teaching the concept of probability, Mrs. Verma decided to use two dice. Shet took a pair of die and write all the possible outcomes on the blackboard. All possible outcomes wave:

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)
(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)
(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)
(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)
(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)
(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)
The probability that 6 will come up on both dice is

For teaching the concept of probability, Mrs. Verma decided to use two dice. Shet took a pair of die and write all the possible outcomes on the blackboard. All possible outcomes wave:

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)
(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)
(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)
(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)
(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)
(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)
The probability that 5 will come up at least once is:

If $\left|\begin{array}{ccc}3& 1& -4\\ 3& 2& 5\\ 1& -1& 3\end{array}\right|=49$ then $\left|\begin{array}{ccc}6& 3& -16\\ 6& 6& 20\\ 2& -3& 12\end{array}\right|=$

The data for the conversion of compound A into its isomeride B are as follows :
$\begin{array}{ccccccccccccccccccc}\text{Time is hr :}& & & 0& & & 1& & & 2& & & 3& & & 4& & & \infty \\ \%\text{age of A :}& & & 49.3& & & 34.6& & & 25.8& & & 18.5& & & 13.8& & & 4.8\end{array}$
Show that this is a first order reaction.

Let $A=\left[\begin{array}{ccc}1& 1& 3\\ 5& 2& 6\\ -2& -1& -3\end{array}\right]$ . Find $tr\left(A^{2012}\right)$

Using integration, find the area of the region bounded by :
(i)$(1,0),(4,5)\text{and}(6,3)$
(ii) $(1,0),(2,2)\text{and}(3,1)$
(iii)$(-1,2),(1,5)\text{and}(3,4)$
(iv) $(2,3),(3,5)\text{and}(3,4)$
(v) $(-1,0),(1,3)\text{and}(3,2)$
(vi) $(1,3),(2,5)\text{and}(3,4)$
(vii) $(4,1),(6,6)\text{and}(8,4)$
(viii) $(2,5),(4,7)\text{and}(6,2)$
(ix) $(-2,1),(0,4)\text{and}(2,3)$
(x) $(2,1),(3,4)\text{and}(5,2).$