In ΔABC, the medians AD and BE meet at G. The ratio of the areas of ΔBDG and the quadrilateral GDCE is:

• 1 : 2

• 1 : 3

• 2 : 3

• 3 : 4

PQRSTU is a cyclic hexagon. Then ∠P + ∠R + ∠T is equal to:

• 720°

• 360°

• 540°

• 180°

If  and  then the value of θ is

• 30°

• 45°

• 60°

• 75°

Shashi can do a piece of work in 20 days. Tanya is 25% more efficient than Shashi. The number of days taken by Tanya to do the same piece of work is:

• 15

• 16

• 18

• 25

If , then the value of abc is:

• 0

• -1

• 1

• ab

If   then the value of  is

XYZ is a right angled triangle and ∠Y = 90°. If XY = 2.5 cm and YZ = 6 cm, then the circumradius of Δ XYZ is:

• 6.5 cm

• 3.25 cm

• 3 cm

• 2.5 cm

In Δ ABC,  and , then the measure of  is

• 45°

• 30°

• 20°

• 5°

The length of shadow of a tower is √3 times that of its length. The angle of elevation of the sun is

• 45°

• 30°

• 60°

• None of these

70.

If x is the area, y is the circumference and z is the diameter of circle then the value of  is

• 4 : 1

• 1 : 4

• 1 : 2

• 2 : 1