1)

A cyclic quadrilateral ABCD is drawn in a circle with center O. A and C are joined O. If ∠ABC = 2p and ∠ADC = 3p, what is the measure (in degrees) of the ∠AOC reflex?

SSC CGL 2022

A)

210

B)

245

C)

200

D)

216

2)

In a quadrilateral ABCD, the bisectors of ∠C and ∠D meet at point E. If ∠CED = 57° and ∠A = 47°, then the measure of ∠B is:

SSC CGL 2022

A)

77°

B)

67°

C)

47°

D)

57°

3)

A circle is circumscribed on a quadrilateral ABCD. If ∠DAB = 100°, ∠ADB = 35° and ∠CDB = 40°, then find the measure of ∠DBC.

SSC CGL 2022

A)

60°

B)

40°

C)

45°

D)

35°

4)

PQRS is a cyclic quadrilateral and PQ is a diameter of the circle. If ∠RPQ = 23°, then what is the measure of ∠PSR?

SSC CGL 2022

A)

123°

B)

113°

C)

157°

D)

147°

5)

In the given figure, if KI = IT and EK = ET, then ∠TEI = .

SSC CGL 2022

A)

105°

B)

125°

C)

75°

D)

150°

6)

In the given figure, ∠ABC = 81° and ∠ACB = 9°. What is the value of ∠BDC?

SSC CGL 2022

A)

70°

B)

90°

C)

80°

D)

60°

7)

A triangle and a parallelogram have the same base 28 cm and the same area. If the height of the parallelogram is 12 cm, then find the length of the altitude of the triangle.

SSC CGL 2022

A)

24 cm

B)

23 cm

C)

28 cm

D)

21 cm

8)

In the figure BCDE is a square and ABC is an equilateral triangle then ∠ADC is:

SSC CGL 2022

A)

60°

B)

30°

C)

45°

D)

15°

9)

In the given figure, if PA and PB are tangents to the circle with centre O such that ∠APB = 54°, then ∠OBA = ________.

SSC CGL 2022

A)

30°

B)

40°

C)

27°

D)

35°