Geometry (Part-10)

Total Questions: 50

41. In a ∆XYZ, XO is the median and XO = 1/2 YZ. If ∠YXO = 30º, then what is the value of ∠XYZ. [SSC CGL 07/12/2022 (3rd Shift)]

Correct Answer: (c) 30°
Solution:

42. The length of the altitude of an equilateral triangle is 6√3 m. The perimeter of the equilateral triangle (in m) is: [SSC CGL 07/12/2022 (3rd Shift)]

Correct Answer: (c) 36
Solution:

43. ABCD is a square and ∆MAB is an equilateral triangle. MC and MD are joined. What is the degree measure of ∠MDC? [SSC CGL 08/12/2022 (1st Shift)]

Correct Answer: (d) 75°
Solution:

44. AB is the diameter of a circle with centre O. If P be a point on the circle such that ∠AOP = 110º then the measure of ∠OBP is: [SSC CGL 08/12/2022 (1st Shift)]

Correct Answer: (d) 55°
Solution:

45. In ∆ABC and ∆DEF, ∠A = 55º AB = DE, AC = DF, ∠E = 85º and ∠F = 40º. By which property are ∆ABC and ∆DEF congruent? [SSC CGL 08/12/2022 (2nd Shift)]

Correct Answer: (a) SAS property
Solution:

46. If two circles do not touch or intersect each other and one does not lie inside the other, then find the number of common tangents. [SSC CGL 08/12/2022 (2nd Shift)]

Correct Answer: (b) 4
Solution:

47. In the following figure, if / || m, then find the measures of angles marked by 'a' and 'b'. [SSC CGL 08/12/2022 (4th Shift)]

Correct Answer: (c) a = 70º and b = 110º
Solution:

48. The radius of a circle with centre at O is 6 cm and the central angle of a sector is 40°. Find the area of the sector. [SSC CGL 08/12/2022 (4th Shift)]

Correct Answer: (c) 4π cm²
Solution:

49. In triangle ABC, ∠B = 90º and ∠C = 45º. If AC = 2√2 cm, then the length of BC is: [SSC CGL 09/12/2022 (1st Shift)]

Correct Answer: (b) 2
Solution:

50. In a circle of radius 3 cm, two chords of length 2 cm and 3 cm lie on the same side of a diameter. What is the perpendicular distance between the two chords? [SSC CGL 09/12/2022 (2nd Shift)]

Correct Answer: (b)
Solution: