Mensuration (Part-9)

31. Find the length of a diagonal of a cuboid whose dimensions are 12m, 10m and 8m. (up to one decimal point) [Matriculation Level 27/06/2023 (Shift-1)]

(a) 18m
(b) 16.5m
(c) 17m
(d) 17.54m

Correct Answer: (d) 17.54m

Solution:

32. The internal and external diameters of a hollow hemispherical bowl are 6 cm and 10 cm, respectively. If it is melted and recast into a solid cylinder of diameter 14 cm, what is the height of the cylinder in cm? [Matriculation Level 27/06/2023 (Shift-1)]

(a) 1.1
(b) 1.22
(c) 1.33
(d) 1

Correct Answer: (c) 1.33

Solution:

33. The perimeter of an isosceles right angled triangle having an area of 200 cm² is: [Matriculation Level 28/06/2023 (Shift-1)]

(a) 68.3 cm
(b) 78.2 cm
(c) 70.6 cm
(d) 58.6 cm

Correct Answer: (a) 68.3 cm

Solution:

34. A solid sphere has a surface area of 616 cm². This sphere is now cut into two hemispheres. What is the total surface area of one of the hemispheres? [Matriculation Level 28/06/2023 (Shift-1)]

(a) 440 cm²
(b) 462 cm²
(c) 452 cm²
(d) 390 cm²

Correct Answer: (b) 462 cm²

Solution:

35. The curved surface area of a cylindrical pillar is 528 m² and its volume is 1848 m³. The ratio between its radius and height is ______ . [Matriculation Level 30/06/2023 (Shift-3)]

(a) 9:10
(b) 7:12
(c) 7:3
(d) 9:5

Correct Answer: (b) 7:12

Solution:

36. To pack a set of books, Surbhi made a carton that was 48 inches long, 27 inches wide and 30 inches tall. What will be the total surface area (in square feet) of this carton, once it is closed from all sides? [Use 1 foot = 12 inches] [Matriculation Level 30/06/2023 (Shift-4)]

(a) 49.25
(b) 48.25
(c) 48.75
(d) 49.75

Correct Answer: (a) 49.25

Solution:

37. The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 2700 m², then what is the breadth of the rectangular plot? [SSC CHSL Tier II (26/06/2023)]

(a) 20 m
(b) 12m
(c) 30m
(d) 28 m

Correct Answer: (c) 30m

Solution:

38. When a wire is bent in the form of a square, then the area enclosed by it is 5929 cm². If wire is bent into the form of a circle, then what will be the area enclosed by the wire? [SSC MTS 02/05/2023 (Afternoon)]

(a) 7546 cm²
(b) 8542 cm²
(c) 7632 cm²
(d) 6954 cm²

Correct Answer: (a) 7546 cm²

Solution:

39. What will be the area of the semi-circle of perimeter 3.6 meters? [SSC MTS 02/05/2023 (Afternoon)]

(a) 1.54 m²
(b) 1.76 m²
(c) 1.10 m²
(d) 0.77 m²

Correct Answer: (d) 0.77 m²

Solution:

40. The ratio of the outer and the inner circumference of a circular path is 17:15. If path is 40 metres wide, then what is the radius of the inner circle? [SSC MTS 02/05/2023 (Evening)]

(a) 280 metres
(b) 340 metres
(c) 360 metres
(d) 300 metres

Correct Answer: (d) 300 metres

Solution:

Mensuration (Part-9)

31. Find the length of a diagonal of a cuboid whose dimensions are 12m, 10m and 8m. (up to one decimal point) [Matriculation Level 27/06/2023 (Shift-1)]

32. The internal and external diameters of a hollow hemispherical bowl are 6 cm and 10 cm, respectively. If it is melted and recast into a solid cylinder of diameter 14 cm, what is the height of the cylinder in cm? [Matriculation Level 27/06/2023 (Shift-1)]

33. The perimeter of an isosceles right angled triangle having an area of 200 cm² is: [Matriculation Level 28/06/2023 (Shift-1)]

34. A solid sphere has a surface area of 616 cm². This sphere is now cut into two hemispheres. What is the total surface area of one of the hemispheres? [Matriculation Level 28/06/2023 (Shift-1)]

35. The curved surface area of a cylindrical pillar is 528 m² and its volume is 1848 m³. The ratio between its radius and height is ______ . [Matriculation Level 30/06/2023 (Shift-3)]

36. To pack a set of books, Surbhi made a carton that was 48 inches long, 27 inches wide and 30 inches tall. What will be the total surface area (in square feet) of this carton, once it is closed from all sides? [Use 1 foot = 12 inches] [Matriculation Level 30/06/2023 (Shift-4)]

37. The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 2700 m², then what is the breadth of the rectangular plot? [SSC CHSL Tier II (26/06/2023)]

38. When a wire is bent in the form of a square, then the area enclosed by it is 5929 cm². If wire is bent into the form of a circle, then what will be the area enclosed by the wire? [SSC MTS 02/05/2023 (Afternoon)]

39. What will be the area of the semi-circle of perimeter 3.6 meters? [SSC MTS 02/05/2023 (Afternoon)]

40. The ratio of the outer and the inner circumference of a circular path is 17:15. If path is 40 metres wide, then what is the radius of the inner circle? [SSC MTS 02/05/2023 (Evening)]

Related Posts