Geometry (Part-9)

Total Questions: 50

41. Sides of a triangle are 12 cm, 9 cm and 9 cm. What is the radius of the circumcircle of this triangle? [SSC CHSL 10/03/2023 (3rd Shift)]

1. (a)
2. (b)
3. (c)
4. (d)

Correct Answer: (c)

Solution:

42. Point D, E and Fall lie on the circumference of a circle with centre O. If angle DEF = 48°, then what is a possible value of angle DOF? [SSC CHSL 13/03/2023 (3rd Shift)]

1. (a) 84°
2. (b) 96°
3. (c) 90°
4. (d) 48°

Correct Answer: (b) 96°

Solution:

43. ABCD is a cyclic quadrilateral, AB is diameter of the circle. If angle ∠ACD = 45°, then what is the value of ∠BAD? [SSC CHSL 13/03/2023 (4th Shift)]

1. (a) 90"
2. (b) 45°
3. (c) 135°
4. (d) 35°

Correct Answer: (b) 45°

Solution:

44. The length of the diagonals of a rhombus is 40 cm and 60 cm. What is the length of the side of the rhombus ? [SSC CHSL 13/03/2023 (4th Shift)]

1. (a) 50√3 cm
2. (b) 20√3 cm
3. (c) 10√13 cm
4. (d) 40√13 cm

Correct Answer: (c) 10√13 cm

Solution:

45. Length of the chord AB of a circle is equal to the radius of the circle. What will be the angle subtended by the chord at the centre of the circle? [SSC CHSL 14/03/2023 (2nd Shift)]

1. (a) 40°
2. (b) 60°
3. (c) 30°
4. (d) 50°

Correct Answer: (b) 60°

Solution:

46. JKLM is a cyclic quadrilateral in which ∠K is opposite to ∠M. When JK and ML are produced, meet at point Z. JK = 10 cm, KZ = 12 cm and MZ = 33 cm. What is the length of LZ? [SSC CHSL 14/03/2023 (2nd Shift)]

1. (a) 9 cm
2. (b) 8 cm
3. (c) 10 cm
4. (d) 12 cm

Correct Answer: (b) 8 cm

Solution:

47. M is the incentre of the ∆XYZ. If ∠YXZ+ ∠YMZ = 150 degree, then what is the value of ∠YXZ? [SSC CHSL 14/03/2023 (3rd Shift)]

1. (a) 40°
2. (b) 55°
3. (c) 60°
4. (d) 45°

Correct Answer: (a) 40°

Solution:

48. In ∆PQR, ∠Q = 90 degrees and QX is perpendicular to PR. If PQ = 15 cm and PR = 25 cm, then what is the ratio of PX:XR? [SSC CHSL 14/03/2023 (4th Shift)]

1. (a) 2:3
2. (b) 7:18
3. (c) 1:4
4. (d) 9:16

Correct Answer: (d) 9:16

Solution:

49. ∆PQR is similar to ∆UVW, Perimeter of ∆PQR and ∆UVW are 120 cm and 240 cm respectively. If PQ = 30 cm, then what is the length of UV? [SSC CHSL 15/03/2023 (1st Shift)]

1. (a) 45 cm
2. (b) 60 cm
3. (c) 75 cm
4. (d) 90 cm

Correct Answer: (b) 60 cm

Solution:

50. In a triangle MNO, XA, XB and XC are perpendicular bisectors on sides MN, ON and OM respectively intersect each other at X. If ∠NMO = 55 degree, then what is the value of ∠NXO? [SSC CHSL 15/03/2023 (2nd Shift)]

1. (a) 130°
2. (b) 110°
3. (c) 95°
4. (d) 125°

Correct Answer: (b) 110°

Solution:

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