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?

, Avg: 01:18 , 75%✓ 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:

, Avg: 01:11 , 85%✓ 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.

, Avg: 01:22 , 42%✓ 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?

, Avg: 02:03 , 40%✓ SSC CGL 2022

A)

123°

B)

113°

C)

157°

D)

147°

5)

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

, Avg: 00:43 , 55%✓ 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?

, Avg: 00:28 , 75%✓ 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.

, Avg: 00:46 , 100%✓ 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°