Mathematics - Class X Question Paper - Central Board Of Secondary Education Page 20
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33Q8.
The rain water from a roof 22m x 20m drains into a conical vessel having diameter of
base as 2m and height 3.5m. If the vessel is just full, find the rainfall (in cm.)
OR
The largest sptere is carved out of a cube of side 7cm ; find the volume of the sphere.
Q9.
The following table shows the marks secured by 100 students in an examination
Marks
0-10
10-20 20-30
30-40
40-50
Number
15
20
35
20
10
Find the mean marks obtained by a student.
Q10. A dice is thrown once. Find the probability of getting.
(i) a number greater than 3
(ii) a number less than 5
OR
A bag contains 5 red balls, 8 white balls, 4 green balls and 7 black balls. A ball is drawn
at random from the bag. Find the probability that it is.
(i) black
(ii) not green
SECTION B
Q11. Solve for x and y
(a—b)x + (a+b)y = a² —2ab —b²
(a+b) (x+y) = a² + b²
Q12. If (x+3) (x —2) is the G.C.D. of
f(x) = (x+3) (2x²—3x+a)
and g(x) = (x—2) (3x² + 10x—b)
find the value of a and b
2x+1
2x—1
Q13. If A =
, B =
,
find
2x—1
2x+1
A+B
A—B
+
A—B
A+B
Q14. Solve for x :
x—1
x—3
10
+
=
(x= 2,x=4)
x-2
x—4
3
Q15. A passenger train takes 2 hours less for a journey of 300 km if its speed is increased by
5 km/h from its usual speed. Find the usual speed of the train.
155
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