Geometry (Part-10)

Total Questions: 50

21. The circumference of the two circles is 198 cm and 352 cm respectively. What is the difference between their radii ? [SSC CGL 01/12/2022 (1st Shift)]

Correct Answer: (d) 24.5 cm
Solution:

22. In the triangle ABC, AB = 12 cm and AC = 10 cm, and ∠BAC = 60°. What is the value of the length of the side BC ? [SSC CGL 01/12/2022 (1st Shift)]

Correct Answer: (d) 11.13 cm
Solution:

23. If areas of similar triangles ∆ABC and ∆DEF are x²cm² and y²cm² respectively, and EF = a cm, then BC (in cm) is: [SSC CGL 01/12/2022 (2nd Shift)]

Correct Answer: (c)
Solution:

24. If the angles of a triangle are (x - 46)º deg (x + 96)º deg and 8xº, then what is the value of 2x ? [SSC CGL 01/12/2022 (2nd Shift)]

Correct Answer: (c) 26º
Solution:

Sum of All angle of triangle is always 180º
(x - 46)º + (x - 96)º + 8xº = 180º
10xº =180º - 50º ⇒ 2xº = 26º

25. In triangle ABC, the bisector of angle BAC cuts the line BC at D. If BD = 6 and BC = 14 then what is the value of AB : AC? [SSC CGL 01/12/2022 (3rd Shift)]

Correct Answer: (a) 3 : 4
Solution:

26. In the given triangle, CD is the bisector of ∠BCA. CD = DA. If ∠BDC = 76º what is the degree measure of ∠CBD ? [SSC CGL 01/12/2022 (4th Shift)]

Correct Answer: (d) 66°
Solution:

27. In ∆ABC, AB = AC, O is a point on BC such that BO = CO and OD is perpendicular to AB and OE is perpendicular to AC. If ∠BOD = 60º, then measure of ∠AOE is: [SSC CGL 02/12/2022 (2nd Shift)]

Correct Answer: (c) 30°
Solution:

28. In the given figure, AB = DB and AC = DC. If ∠ABD = 58º and ∠DBC = (2x - 4)º, ∠ACB = (y + 15)º and ∠DCB = 63º, then the value of 2x + 5y is: [SSC CGL 02/12/2022 (4th Shift)]

Correct Answer: (b) 273
Solution:

29. From the circumcentre L of ∆XYZ perpendicular LM is drawn on side YZ. If ∠YXZ = 60º, then the measure of ∠YLM is: [SSC CGL 02/12/2022 (4th Shift)]

Correct Answer: (a) 60°
Solution:

30. Select the correct option with respect to the given statement. [SSC CGL 03/12/2022 (1st Shift)]

Two tangents are drawn at the end of the diameter of a circle.

Correct Answer: (c) They are parallel to each other.
Solution: