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

Second round

1. In given figure, QT┴ PR, what is the value of x?

P

QS

T

Rx40o

30o

•Ans. 80°

2. In given circle AB is diameter of circle.What is the value of x ?

60o

C

A B

D

x

Ans. 30o

3.In given figure , PAR=90°. Find QPR.

Q P

R

A 90O

24 cm.

26 cm

6 cm

8 cm

Ans. 90o

4.In the given figure,∆ODC~∆OBA.BOC=125° and CDO=70°,Find OAB.

D C

O

A B

125o

70o

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

B C

50o

Ans. 65°,65o

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°

3rd 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