Geometry (Part-2)

Total Questions: 50

31. PT is a tangent at the point R on a circle with centre O. SQ is a diameter. Which when produced meets the tangent PT at P. If ∠SPT = 32º , then what will be the measure of ∠QRP? [SSC CPO 11/12/2019 (Morning)]

1. (a) 32°
2. (b) 58°
3. (c) 30°
4. (d) 29°

Correct Answer: (d) 29°

Solution:

32. PQRS is a rectangle. T is a point on PQ such that RTQ is an isosceles triangle and PT = 5 QT. if the area of the triangle RTQ is 12√3 cm² , then the area of rectangle PQRS is: [SSC CPO 09/12/2019 (Morning)]

1. (a) 142 cm²
2. (b) 134 cm²
3. (c) 144 cm²
4. (d) 142 cm²

Correct Answer: (c) 144 cm²

Solution:

33. If in ∆PQR, ∠P = 120º , PS⊥QR at S and PQ + QS = SR, then the measure of ∠Q is: [SSC CGL Tier II (13/09/2019)]

1. (a) 20°
2. (b) 50°
3. (c) 40°
4. (d) 30°

Correct Answer: (c) 40°

Solution:

34. A circle is inscribed in a quadrilateral ABCD touching AB, BC, CD, and AD at the points P, Q, R and S, respectively, and ∠B = 90º . If AD = 24 cm, AB = 27 cm and DR = 6cm then what is the circumference of the circle? [SSC CGL Tier II (12/09/2019)]

1. (a) 20π
2. (b) 18π
3. (c) 15π
4. (d) 12π

Correct Answer: (b) 18π

Solution:

35. The sum of the interior angles of a regular polygon is 1260° What is the difference between an exterior angle and an interior angle of the polygon? [SSC CGL Tier II (12/09/2019)]

1. (a) 105°
2. (b) 100°
3. (c) 120°
4. (d) 90°

Correct Answer: (b) 100°

Solution:

36. In a trapezium ABCD, DC||AB, AB = 12 cm and DC = 7.2cm What is the length of the line segment joining the mid-points of its diagonals? [SSC CGL Tier II (11/09/2019)]

1. (a) 2.6
2. (b) 4.8
3. (c) 2.4
4. (d) 3.6

Correct Answer: (c) 2.4

Solution:

37. If each interior angle of a regular polygon is (128 4/7)º then what is the sum of the number of its diagonal and the number of its sides? [SSC CGL Tier II (11/09/2019)]

1. (a) 15
2. (b) 19
3. (c) 17
4. (d) 21

Correct Answer: (d) 21

Solution:

38. A quadrilateral ABCD is inscribed in a circle with centre O. If ∠BOC = 92º and ∠ADC = 112º, then ∠ABO is equal to : [SSC CHSL 11/07/2019 (Evening)]

1. (a) 22°
2. (b) 24°
3. (c) 28°
4. (d) 26°

Correct Answer: (b) 24°

Solution:

39. The perimeter of ∆ABC is 24 cm and its side, BC = 9 cm. AD is the bisector of ∠BAC, while I is the incentre AI : ID is equal to: [SSC CHSL 11/07/2019 (Afternoon)]

1. (a) 7 : 5
2. (b) 5 : 2
3. (c) 3 : 2
4. (d) 5 : 3

Correct Answer: (d) 5 : 3

Solution:

40. The area of a sector of a circle with central angle 60° is A. The circumference of the circle is C. Then A is equal to : [SSC CHSL 10/07/2019 (Evening)]

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

Correct Answer: (c)

Solution:

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