PAPER 4
Q1. Attempt any FIVE of the following sub – questions: (5)
ii.
Find whether it is a quadratic equation or not:
^{(q2
– 4)}/_{q2} =  3 [Ans.]
iii. Find
the value of the following determinant. [Ans]
4/7
6/35
5
2/5
Q2. Attempt any FOUR of the following sub – questions: (8)
i. There
are 3 red, 3 white and 3 green balls in a bag. One ball is drawn at random from
a bag :
P is
the event that ball is red.
Q is
the event that ball is not green.
R is
the event that ball is red or white. [Ans.]
ii. Solve the following simultaneous equations using Cramer’s rule : 3x + y =
1; 2x = 11y + 3 [Ans.]
iii. In the example given below determine whether the values given against
each of the quadratic equation are the roots of the equation or not: x^{2} + 5x – 14 = 0, x = √2 , –7, 3 [Ans]
v. The marks scored by students in
mathematics in a certain examination are given below: [Ans.]
4/7

6/35

5

2/5

Marks scored

1 – 20

21 – 40

41 – 60

61 – 80

81 – 100

Number of students

3

8

19

18

6

Q3. Attempt any THREE of the following sub – questions (9)
iii. Without actually solving the simultaneous equation given below, decide
whether it has unique solution, no solution or infinitely many solutions: x/2 +
y/3 = 4; x/4 + y/6 = 2 [Ans.]
iv. Solve by 'Step Deviation Method. Below is the
frequency distribution of marks (out of 100) obtained by the students. Find mean.
Q4. Attempt any TWO of the following sub – questions: (8)
i. Represent the following data using
frequency curve: [Ans]
Electricity bill in a
month
(in Rs.)

200 – 400

400 – 600

600  800

800 – 1000

No. of Families

362

490

185

63

Q5. Attempt any TWO of the following sub questions. (10)
ii. The following table gives
information about the monetary investment by some residents in a city:
Mode of Investment

Shares

Mutual funds

Real estate

Gold

Government bonds

Percentage of residents

10

20

35

30

5

Draw a pie diagram to represent
the data. [Ans]
iii. In a school, a plantation program was arranged on the occasion of world
environment day, on a ground of triangular shape. The trees are to be planted
as shown in the figure. One plant in the first row, two in the second row,
three in the third row and so on. If there are 25 rows then find the total
number of plants to be planted. [Ans.]
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