In the given diagram, an isosceles DABC is inscribed
in a circle with centre O. PQ is a tangent to the circle
at C. OM is perpendicular to chord AC and ∠COM
= 65°.
Find:
A
P
65° M
O 65°
B C
(a) Make a frequency table with respect to the class
boundaries and their corresponding frequencies.
Q
(b) State the modal class.
(c) Identify and note down the mode of the (a) ∠ABC (b) ∠BAC
distribution. (c) ∠BCQ
(d) Find the number of plants whose height range is (ii) Solve the following in equation, write down the
between 80 cm to 90 cm. solution set and represent it on the real number line.

15] Distance (in m) 60 90 y Choose the correct answers to the questions from the given options. Time (in s) 2 x 5 (Do not copy the questions, write the correct answers The values of x and y are: only.) (a) x = 4, y = 150 (b) x = 3, y = 100
The roots of the quadratic equation px2 – qx + r = 0 a  a 
are real and equal if: (ix) The sum invested to purchase 15 shares of a company

15] Distance (in m) 60 90 y Choose the correct answers to the questions from the given options. Time (in s) 2 x 5 (Do not copy the questions, write the correct answers The values of x and y are: only.) (a) x = 4, y = 150 (b) x = 3, y = 100
The circumcentre of a triangle is the point which is:
value of x is: (a) at equal distance from the three sides of the
(a) 2 (b) 4 triangle.
(c) 8 (d) 10 (b) at equal distance from the three vertices of the
triangle.

15] Distance (in m) 60 90 y Choose the correct answers to the questions from the given options. Time (in s) 2 x 5 (Do not copy the questions, write the correct answers The values of x and y are: only.) (a) x = 4, y = 150 (b) x = 3, y = 100
For an Intra-state sale, the CGST paid by a dealer to (c) x = 4, y = 100 (d) x = 3, y = 150
the Central government is ` 120. If the marked price (viii) The 7th term of the given Arithmetic Progression
of the article is ` 2000, the rate of GST is: (A.P.):

15] Distance (in m) 60 90 y Choose the correct answers to the questions from the given options. Time (in s) 2 x 5 (Do not copy the questions, write the correct answers The values of x and y are: only.) (a) x = 4, y = 150 (b) x = 3, y = 100
What must be subtracted from the polynomial x3 +
x2 – 2x +1, so that the result is exactly divisible by 1  1 
(x – 3)? (a)   6  (b)   7 
a  a 
(a) – 31 (b) – 30
1  1 7 
(c) 30 (d) 31 (c)   8  (d)   7 

15] Distance (in m) 60 90 y Choose the correct answers to the questions from the given options. Time (in s) 2 x 5 (Do not copy the questions, write the correct answers The values of x and y are: only.) (a) x = 4, y = 150 (b) x = 3, y = 100
If matrix A =   and A2 =  , (c) ` 1350 (d) ` 900
0 2  0 4  then the

15] Distance (in m) 60 90 y Choose the correct answers to the questions from the given options. Time (in s) 2 x 5 (Do not copy the questions, write the correct answers The values of x and y are: only.) (a) x = 4, y = 150 (b) x = 3, y = 100
The median of the following observations arranged
in ascending order is 64. Find the value of x: (c) the point of intersection of the three medians.
27, 31, 46, 52, x, x + 4, 71, 79, 85, 90 (d) the point of intersection of the three altitudes of