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Group No.-2
 Class - IX ,X
First Round

General Maths (Objective Type)
1. 45 end with digit -

•   A.     0
•   B.     5
•   C.     4
•   D.     6
Ans. C. 4
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
Ans. D. 5
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
Ans. C.   3
4.In Series 1,3,7,15,…..,what is the
             next term?

•   A.   28
•   B.   29
•   C.   30
•   D.   31
Ans. 31
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
Ans. D.   5/4
Q.6-What is the value of
Cos80 /Sin10 +Cos 59 Cosec31 .


•   A.   0
•   B.   1
•   C.   2
•   D.   3
Ans. C. 2
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
Ans.-Not define
Q.8-What is the value of A? if
       2Sin²A=1/2 , 0 <A<90 .


•   A.    0
•   B.    30
•   C.    45
•   D.    60
Ans. 30
Geometry
1. In given figure, QT┴ PR, what
         is the value of x?

                   P
                    30o
                              T



                  40o x           R
              Q
                          S
•Ans. 80
2. In given circle AB is diameter of
circle.What is the value of x ?

                            C




                                60o
                A                     B


                        x
                    D
Ans.   30o
3.In given figure , PAR=90 .
         Find QPR.
             24 cm.
         Q                P

                  A 90O




                          R
Ans.   90o
4.In the given figure,∆ODC~∆OBA.
  BOC=125 and CDO=70 ,Find
  OAB.

               D                  C
                   70o


                         O 125o



                   A                  B
Ans.   55o
5.Give the name of the point of
intersection where all the
altitude of a triangle meet.
Ans. Arthocentre.
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
Ans. 65   ,65 o
7. What is the area of an equilateral
triangle if the length of side is a
unit?
Ans. (√3/4)a2
8.Find the Sum of the interior
angles of a polygon having 12
sides.
Ans.1800
3 rd
      Round
(Passing Round)
Q.1. Two Cubes each of volume
64 cm³ are joined end to end .
Find the surface area of the
resulting cuboid.
Ans.160 cm²
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.
Ans. 56 cm.
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.
Ans. (4/3)   cm³
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.
Ans. 2 cm.
Fourth
  Round
Algebra
Q.1 Name the mathematician .Who
     first compute the decimal
        expansion of л(Pie).
Ans. Archimedes
Q.2- Find the value of 32 2/5.
Ans.   4
Q.3- What are the zeros of the
  polynomial P(x)=x²-5x+6?
Ans. 2,3
Q.4- What is the remainder when
 x4 + x³+x²- 2x+1 is divided by x-1?
Ans. 2
Q.5-If x+y+z=0 then x³+y³+z³ is
      equal to …………. .
Ans. 3xyz
Q.6-Find the value of
[(1.7)2 – (1.3)2]/(1.7-1.3)
Ans. 3
Q.7- If the coordinate of a point are
   (3,2) then find the abscissa.
Ans. 3
Q.8- Give any two solution of
   the equation x+2y= 6.
Ans. X=6, y=0 and x=0 , y=3
End of the Group II

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