Geometry (Part-8)

Total Questions: 50

41. Explain it- [SSC CHSL 14/08/2023 (3rd Shift)]

Correct Answer: (b) 3.6
Solution:

42. The area of two similar triangles TUV and PQR are 18cm² and 32cm² respectively. If TU = 6 cm, then PQ is equal to: [SSC CHSL 14/08/2023 (4th Shift)]

Correct Answer: (b) 8 cm
Solution:

43. An equilateral triangle has sides of 18 cm each. The ratio of the inradius to circumradius of the triangle is: [SSC CHSL 14/08/2023 (4th Shift)]

Correct Answer: (d) 1 : 2
Solution:

44. In ∆CAB, ∠CAB = 90º and AD ⊥ BC. If AC = 24 cm, AB = 10cm, then find the value of AD (in cm). [SSC CHSL 17/08/2023 (1st Shift)]

Correct Answer: (a) 9.23
Solution:

45. In figure, ∠ADB is equal to: [SSC CHSL 17/08/2023 (1st Shift)]

Correct Answer: (c) 80°
Solution:

46. In the figure, chords XY = x cm and PQ = 10 cm are intersecting each other at point L. Find the length of XY (in cm). [SSC CHSL 17/08/2023 (1st Shift)]

Correct Answer: (c) 20
Solution:

47. An arc of length 33 π cm subtends an angle of 132° at the centre of the circle. Find the radius of the circle. [SSC CHSL 17/08/2023 (2nd Shift)]

Correct Answer: (a) 45 cm
Solution:

48. Three angles of a triangle are (x -15)°, (x + 45)º and (x + 60)º . Identify the type of triangle. [SSC CHSL 17/08/2023 (2nd Shift)]

Correct Answer: (b) Right angle triangle
Solution:

49. It is given that ∆ABC ≅ ∆FDE and AB = 5 cm, ∠B = 40º and ∠A = 80º Then which of the following is true? [SSC CHSL 17/08/2023 (3rd Shift)]

Correct Answer: (d) DF = 5cm ∠E = 60º
Solution:

50. If three angles of a triangle are (2y + 40º), (5y - 60º), and (3y - 80º), then what is the value of y ? [SSC CHSL 17/08/2023 (3rd Shift)]

Correct Answer: (c) 28°
Solution:

According to the question,
2y + 40º + 5y - 60º + 3y - 80º = 180º
10y = 180º + 100º = 280º
y = 28º