Question

SECTION –A
1) Degree of the polynomial 4x4
+ 0x3
+ 0x5 + 5x + 7 is (A) 4 (B) 5 (C) 3 (D) 7
2) The perpendicular distance of the point P (6,-8) from the y-axis is
(A) 10 (B) -8 (C) 6 (D) 8
3) In figure ,If OP||RS, ∠OPQ = 110° and ∠QRS = 130°, then ∠ PQR is equal to
(A) 40° (B) 50° (C) 60° (D) 70°

4) In figure , ∠AOB = 90° and ∠ABC = 30°, then ∠CAO is equal to: (A) 30° (B) 45° (C) 90° (D)
60°
5) The sides of a triangle are 35 cm, 54 cm and 61 cm, respectively. The length of its longest altitude
(A) 16 5 cm (B) 10 5 cm (C) 24 5 cm (D) 28 cm
6) The radii of two cylinders are in the ratio of 2:3 and their heights are in the ratio of 5:3. The ratio of
their volumes
is: (A) 10 : 17 (B) 20 : 27 (C) 17 : 27 (D) 20 : 37 OR
The total surface area of a cone whose radius is r
2
and slant height 2l is
(A) 2πr (l + r) (B) πr (l + r
4
) (C) πr (l + r) (D) 2πrl
7) In a frequency distribution, the mid value of a class is 10 and the width of the class is 6. The lower limit
of the class is : (A) 6 (B) 7 (C) 8 (D) 12
OR
The width of each of five continuous classes in a frequency distribution is 5 and the lower class-limit of
the lowest class is 10. The upper class-limit of the highest class is:
(A) 15 (B) 25 (C) 35 (D) 40
8) The mean of 25 observations is 36. Out of these observations if the mean of first 13 observations is 32
and that of the last 13 observations is 40, the 13th observation is :
(A) 23 (B) 36 (C) 38 (D) 40
9) Two coins are tossed 1000 times and the outcomes are recorded as below :
No. of Heads 2 1 0
Frequency 200 550 250
Based on this information, the probability for at most one tail is (A) 1
5
(B) 1
4
(C) 4
5
(D) 3
4
10) In ∆ PQR , ∠P = 70° , ∠R = 30° , Then :
(A) PQ > PR (B) PQ > QR (C) QR > PR (D) PR > PQ
11) Give the equations of two lines passing through (2, 14). How many more such lines are there, and why?
12) Express 0.2353535………. in form of p
q
.
13) Write rational & irrational number between 2 & 3 .
14) Check whether the polynomial q(t) = 4t3
+ 4t2
– t – 1 is a multiple of 2t + 1.
15) Prove that there is only one mid point of a line segment .
16) The observations 29, 32, 48, 50, x, x + 2, 72, 78, 84, 95 have been arranged in ascending order. If the
median of the data is 63, find the value of x.
17) In figure, ∠PQR = 100°, where P, Q and R are points on a circle with centre O. Find ∠OPR.

18) Which is greater : 16 3
or 8
5
? OR If x = 3 + 2 2 , Find whether x + 1
x
is rational or
irrational
19) Locate 10 on number line.
20) Find the coordinate of point lie on y axis at distance 4 units from origin . OR
Find the points where the graph of the linear equation 2x + 3y = 6 cuts the y-axis .
SECTION – B
21) Factorise : x3
+ 13 x2
+ 32 x + 20 OR 2 2 a
3
+ 8b3
– 27c3
+ 18 2 abc.
22) The parking charges of a car in a parking lot are Rs 20 for the first hour & Rs 10 for the subsequent
hours. Taking total parking time to be x hours & total charges as Rs y, write a linear equation in two
variables to express the above statements.
23) A closed cylindrical petrol storage tank that is 4.2m in diameter and 4.5 m high. How much steel was
actually used, if 1
12
th of the steel actually used was wasted in making the tank.
OR
A metal pipe is 77 cm long. The inner diameter of a cross section is 4cm, the outer diameter being 4.4
cm. Find its total surface area.
24) POQ is a line . Ray OR is perpendicular to line PQ. OS is another ray lying between rays OP & OR. Prove
that
∟ROS = 1
2
(∟QOS - ∟POS).

Answer 1

Answer:

Find the value of x in (x+2)(x+3)+(x−3)(x−2)−2x(x+1)=0

.

If 1, 5, 7 are the roots of ax3+bx2+cx+d=0

, then the roots of ax3+2bx2+4cx+8d=0

are:

(a) 2, 10, 14

(b) 12, 52, 72

(c) –2, –10, –14

(d) 0, 2, 10

Answer 2

Step-by-step explanation:

a) 2, 10,14

b) 12,52,72

c) -2,-10,-14

d) 0,2,10