Q1. Attempt any five sub – questions: [5]
i. For the given sequence,
find the next two terms. 1, 2, 4, 7, 11, ___, ____ (Ans)
ii. Write the given quadratic
equation in the standard form. 3y^{2} = 10y + 7. (Ans)
iii. Find the value of the
given determinant. (Ans)
iv. A die is thrown. Find the
sample space 'S' and n(S). (Ans)
v. Find t_{n} of the
A.P.: 3, 6, 9, .... (Ans)
vi. Write the extended class
boundaries of 19 – 20 and 21 – 22 . (Ans)
Q2. Attempt any four sub – questions: [8]
i. State whether the
following sequence is an A.P. or not 1^{3}, 2^{3}, 3^{3},
4^{3}, .... (Ans)
ii. Solve the given quadratic
equation by factorization method. x^{2}
13 x – 30 = 0. (Ans)
iii. Find D_{x } and D_{y } of the given simultaneous equations. 3x – 2y =
3 and 2x + y = 16. (Ans)
iv. A die is thrown. Find the
probability of obtaining a perfect square on its upper surface. (Ans.)
v. For a certain frequency
distribution, the values of Median and Mode are 95.75 and 95.5 respectively,
Find the value of Mean. (Ans.)
vi. State whether the given
equation is a quadratic or not. y + 1/y = 3 (Ans.)
Q3. Solve any three sub – questions: [9]
i. Solve the given quadratic
equation by factorization method, 3x^{2}
– x – 10 = 0. (Ans.)
ii. If two coins are tossed
simultaneously, then find the probability of the following events: (Ans.)
(a) at least one tail turns
up.
(b) no head turns up.
(c) at the most one tail turns up.
iii. Find S_{10} if a = 6 and d = 3. (Ans. )
iv. Complete the following
table of cumulative frequency.
(Ans.)
Class

20 – 25

25 – 30

30 – 35

35 – 40

Frequency

2

6

14

29

C.F. less than upper limit

2

?

?

?

v. The following table shows
the frequency distribution of the waiting time at an ATM centre. Draw a
histogram to represent the data. (Ans.)
Waiting time in seconds

0 – 30

30 – 60

60 – 90

90 – 120

120 – 150

150 – 180

No. of Customers

20

28

68

54

10

3

Q4. Attempt any two sub – questions: [8]
i. Solve the given equation: a^{4}
– 3a^{2 } + 2 = 0. (Ans.)
ii. What is the probability
of two – digit number formed from the digits 2, 3, 5, 7, 9 without repeating
the digits of the events? (Ans)
(a) the number so formed is
an odd number.
(b) the two – digit number so
formed is a multiple of 5.
iii. Solve the simultaneous
equations by using Cramer's rule. 4x = y
– 5 and y = 2x + 1. (Ans)
Q5. Attempt any two sub – questions. [10]
1. If the sum of 'p' terms of
and A.P. is equal to the sum of 'q' terms, then show that the sum of 'p + q' terms
is zero. (click answer)
2. Solve: 16 / (x+y)
+ 2/(x – y) = 1 and 8/(x+y) – 12/(x – y) = 7 (Ans)
3. Draw a pie diagram to
represent the world population from the following data after finding the value
of 'a '. (Ans)
Country

India

China

Russia

U.S.A.

others

Total

Percentage of world
Population.

15

20

a

a

25

100
