Geometry (Part-8)

Total Questions: 50

31. If the triangles ABC and PQR are similar and if ∠A = 35º, ∠B = 65º, then ∠R = _______. [SSC CHSL 10/08/2023 (3rd Shift)]

Correct Answer: (a) 80°
Solution:

32. If one diagonal of a rhombus is equal to its side, then the diagonals of the rhombus are in the ratio of: [SSC CHSL 10/08/2023 (3rd Shift)]

Correct Answer: (d) 1 : √3
Solution:

33. In a triangle ABC, 8 ∠A=6 ∠B = 3 ∠C. What are the degree measures of ∠A, ∠B and ∠C? [SSC CHSL 10/08/2023 (4th Shift)]

Correct Answer: (c) 36°, 48°, 96°
Solution:

34. Two similar triangles are given i.e. ∆LMN~∆PQR, with measurement of angle and side as angle L = 40º angle N = 80°, LM = 6 cm, LN = 8 cm and PQ = 7.5 cm. Find the value of angle Q and side PR, respectively. [SSC CHSL 10/08/2023 (4th Shift)]

Correct Answer: (d) 60°, 10 cm
Solution:

35. Explain it- [SSC CHSL 11/08/2023 (2nd Shift)]

Correct Answer: (c) 60
Solution:

36. It is given that ∆PQR ≅ ∆MNY and PQ = 8 cm, ∠Q = 55º and ∠P = 72º Which of the following is true ? [SSC CHSL 11/08/2023 (3rd Shift)]

Correct Answer: (c) NM = 8cm ∠Y = 53º
Solution:

37. The lengths of the two sides adjacent to the right angle of right-angled triangle are 1.6 cm and 6.3 cm. Find the length of the hypotenuse. [SSC CHSL 11/08/2023 (3rd Shift)]

Correct Answer: (c) 6.5 cm
Solution:

38. AB and BC are two chords of a circle with centre O. Both chords are on either side of the centre O. Point A and point Care connected to the centre 0, such that ∠BAO = 36 deg and ∠BCO = 48º.What is the degree measure of the angle subtended by the minor arc AC at the centre O? [SSC CHSL 11/08/2023 (4th Shift)]

Correct Answer: (d) 168°
Solution:

39. In ∆ΧΥΖ, L and M are the middle points of the sides XY and XZ, respectively. N is a point on the segment LM such that LN : NM = 1:2 If LN = 5 cm, then YZ is equal to: [SSC CHSL 14/08/2023 (1st Shift)]

Correct Answer: (a) 30 cm
Solution:

40. Two equal circles of radius 6 cm intersect each other such that each pass through the centre of the other. The length (in cm) of the common chord is: [SSC CHSL 14/08/2023 (1st Shift)]

Correct Answer: (b) 6√3
Solution: