If ABCD be a cyclic quadrilateral in which ∠A = 4x°, ∠B = 7x°, ∠C = 5y°, ∠D = y°, then x : y is 

• 3 : 4

• 4 : 3

• 5 : 4

• 4 : 5

ABCD is a cyclic quadrilateral and AD is a diameter. If ∠DAC = 55° then value of ∠ABC is

• 55°

• 35°

• 145°

• 145°

All sides of a quadrilateral ABCD touch a circle. If AB = 6 cm, BC = 7.5 cm, CD = 3 cm, then DA is

• 3.5 cm

• 4.5 cm

• 2.5 cm

• 2.5 cm

Inside a square ABCD, ΔBEC is an equilateral triangle. If CE and BD intersect at O. then ∠BOC is equal to

• 60° 

• 75° 

• 90° 

• 90° 

Each interior angle of a regular octagon in radians is

ABCD is a rectangle where the ratio of the lengths of AB and BC is 3 : 2. If P is the mid point of AB, then the value of  is

If a regular polygon has each of its angles equal to  times of two right angles, then the number of sides is

• 3

• 5

• 6

• 6

The sum of all interior angles of a regular polygon is twice the sum of all its exterior angles. The number of sides of the polygon is

• 10

• 8

• 12

• 12

The ratio between the number of sides of two regular polygons is 1 : 2 and the ratio between their interior angles is 2 : 3. The number of sides of these polygons is respectively.

• 6, 12

• 5, 10

• 4, 8

• 4, 8

The interior angle of a regular polygon exceeds its exterior angle by 108°. The number of the sides of the polygon is

• 12

• 16

• 14

• 14