Q.1) O is the circumcenter of ΔABC. If AO = 8 cm, then the length of BO is

1.) 12 cm .

2.) 3 cm

3.) 6 cm

4.) 8 cm

Q.2) Given that tan (θ + 15°) = √3. Then the value of θ is?

1) 15°

2) 75°

3) 45°

4) 65°

Q.3) The least number of square tiles of side 41 cms required to pave the ceiling of a room of size 15m 17cm long and 9m 2 cm broad is: 15

1) 902

2) 656

3) 738

4) 814

Q.4) The average of fruits offered in a temple in a week was 75. The average of fruits offered in six days excluding Tuesday was 72. How many fruits were offered on Tuesday?

1) 90

2) 93

3)72

4) 92

Q.5) If a=x^(1/3) y^(1/3)+x^(−1/3) y^(−1/3), then a^3−3ay−x is equal to:

1) y^2/x

2) x^2/y

3)a^2/x

4)a^2/y

Q.6) If x+1/x = 5 then find the value of 6x/(x^2+x+1) is:

1) 1

2) 2

3) 3

4) 4

Q.7) If a > b > 0, AB = a b cm, BC = 2√ab cm, then ∠ABC is

1) 45°

2) 60°

3) 90°

4) 120°

Q.8) PR is a tangent to a circle with centre O and radius 4 cm at point Q. If ∠POR = 90°, OR = 5 cm and OP = 20/3 cm, then the length of PR is: PR,

1.) 16/3 cm

2.) 23/3 cm

3.) 25/3 cm

4.) 3 cm

Q.9) From a point, 40 m apart from the foot of a tower, the angle of elevation of its top is 60°. The height of the tower is

1) 40√3 m

2) 40√3 cm

3) 40√3 m

4) 40√2 m

Q.10) The radius of a sphere and hemisphere are same. The ratio of their total surface area is

1) 3:1

2) 2:1

3) 3:2

4) 4:3