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. 3y2 = 10y + 7. (Ans)
iii. Find the value of the
given determinant. (Ans)
5
|
2
|
7
|
4
|
iv. A die is thrown. Find the
sample space 'S' and n(S). (Ans)
v. Find tn 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 13, 23, 33,
43, .... (Ans)
ii. Solve the given quadratic
equation by factorization method. x2
-13 x – 30 = 0. (Ans)
iii. Find Dx and Dy 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, 3x2
– 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 S10 if a = 6 and d = 3. (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: a4
– 3a2 + 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
|
