1. Group No.-2
Class - IX ,X

2. First Round
General Maths (Objective Type)

3. 1. 45 end with digit -
• A. 0
• B. 5
• C. 4
• D. 6

4. Ans. C. 4

5. 2.If the root of the equation
3x²-kx-2=0 is 2,then what is the
value of k.
• A. 0
• B. -2
• C. 3
• D. 5

6. Ans. D. 5

7. 3.If p+2, 4p-6 and 3p-2 are the
three consecutive terms of an A.P.,
Find the value of p.
• A. 1
• B. 2
• C. 3
• D. 4

8. Ans. C. 3

9. 4.In Series 1,3,7,15,…..,what is the
next term?
• A. 28
• B. 29
• C. 30
• D. 31

10. Ans. 31

11. 5. If the tan A=3/4,then what is the
value of sec A ?
• A. 4/3
• B. 3/5
• C. 5/3
• D. 5/4

12. Ans. D. 5/4

13. Q.6-What is the value of
Cos80 /Sin10 +Cos 59 Cosec31 .
• A. 0
• B. 1
• C. 2
• D. 3

14. Ans. C. 2

15. Q.7-If A+B+C=180 and angle
A=90 ,then what is value of
tan(B+C)?
• A. 0
• B. 1
• C. Not define
• D.1/√2

16. Ans.-Not define

17. Q.8-What is the value of A? if
2Sin²A=1/2 , 0 <A<90 .
• A. 0
• B. 30
• C. 45
• D. 60

18. Ans. 30

19. Geometry

20. 1. In given figure, QT┴ PR, what
is the value of x?
P
30o
T
40o x R
Q
S

21. •Ans. 80

22. 2. In given circle AB is diameter of
circle.What is the value of x ?
C
60o
A B
x
D

23. Ans. 30o

24. 3.In given figure , PAR=90 .
Find QPR.
24 cm.
Q P
A 90O
R

25. Ans. 90o

26. 4.In the given figure,∆ODC~∆OBA.
BOC=125 and CDO=70 ,Find
OAB.
D C
70o
O 125o
A B

27. Ans. 55o

28. 5.Give the name of the point of
intersection where all the
altitude of a triangle meet.

29. Ans. Arthocentre.

30. 6. If one angle of an isosceles
triangle is of 50 and
AB=AC,Find the value of other
two angles.
A
50o
B C

31. Ans. 65 ,65 o

32. 7. What is the area of an equilateral
triangle if the length of side is a
unit?

33. Ans. (√3/4)a2

34. 8.Find the Sum of the interior
angles of a polygon having 12
sides.

35. Ans.1800

36. 3 rd
Round
(Passing Round)

37. Q.1. Two Cubes each of volume
64 cm³ are joined end to end .
Find the surface area of the
resulting cuboid.

38. Ans.160 cm²

39. Q.2. The radius of a sphere is
14cm. It is melted and drawn into a
cylindrical wire of 7 cm in radius.
Find the length of the wire.

40. Ans. 56 cm.

41. 3. Find the volume of the
greatest sphere that can be cut
from a cylindrical log of wood of
base radius 1cm and height 5
cm.

42. Ans. (4/3) cm³

43. 4. Radius of a cone is 4 cm.
Find the height of the cone so
that its volume may be equal to
that of a sphere of 4cm in
diameter.

44. Ans. 2 cm.

45. Fourth
Round
Algebra

46. Q.1 Name the mathematician .Who
first compute the decimal
expansion of л(Pie).

47. Ans. Archimedes

48. Q.2- Find the value of 32 2/5.

49. Ans. 4

50. Q.3- What are the zeros of the
polynomial P(x)=x²-5x+6?

51. Ans. 2,3

52. Q.4- What is the remainder when
x4 + x³+x²- 2x+1 is divided by x-1?

53. Ans. 2

54. Q.5-If x+y+z=0 then x³+y³+z³ is
equal to …………. .

55. Ans. 3xyz

56. Q.6-Find the value of
[(1.7)2 – (1.3)2]/(1.7-1.3)

57. Ans. 3

58. Q.7- If the coordinate of a point are
(3,2) then find the abscissa.

59. Ans. 3

60. Q.8- Give any two solution of
the equation x+2y= 6.

61. Ans. X=6, y=0 and x=0 , y=3

62. End of the Group II