Mensuration (Part-3)

41. The radius of a circle is equal to the side of a square. The perimeters of the square and circle are in the ratio 7: 11, then the ratio of the areas will be: (Use π = 22/7) [SSC MTS 13/11/2024 (Afternoon)]

(a) 14:22
(b) 22:14
(c) 22:7
(d) 7:22

Correct Answer: (d) 7:22

Solution:

42. The internal and external diameters of a bowl in the shape of a hemisphere are 26.6 cm and 28 cm, respectively. What is the cost (in ₹, to the nearest rupee) of painting it, all over, at the rate of ₹3.75/cm² ? (Take π = 22/7). [SSC MTS 13/11/2024 (Afternoon)]

(a) 9,380
(b) 9,015
(c) 8,950
(d) 9,000

Correct Answer: (b) 9,015

Solution:

43. If the radil of two right circular cylinders are in the ratio of 2:3 and their heights are in the ratio of 5: 4, then find the ratio of their curved surface areas? [SSC MTS 14/11/2024 (Morning)]

(a) 6:5
(b) 5:6
(c) 6:10
(d) 10:6

Correct Answer: (b) 5:6

Solution:

44. Solve it- [SSC MTS 14/11/2024 (Afternoon)]

Correct Answer: (a)

Solution:

45. Air is leaking from a spherical-shaped advertising balloon at the rate of 24 cubic feet per minute. If the radius of the balloon is 8 feet, how long would it take for the balloon to empty? Round your answer to the nearest minute. Use the approximate of value of π, that is 3.14. [SSC MTS 14/11/2024 (Afternoon)]

(a) 89 minutes
(b) 80 minutes
(c) 65 minutes
(d) 94 minutes

Correct Answer: (a) 89 minutes

Solution:

46. A solid hemisphere of radius 12 cm is melted into N identical cones, each of radius 6 cm and height 8 cm. What is the value of N? [SSC MTS 14/11/2024 (Evening)]

(a) 12
(b) 8
(c) 10
(d) 15

Correct Answer: (a) 12

Solution:

47. The radii of the two cones are in the ratio of 2: 5 and their volumes are in the ratio of 3:5. What is the ratio of their heights? [SSC CGL 09/09/2024 (1st Shift)]

(a) 15:4
(b) 11:15
(c) 13:11
(d) 4:11

Correct Answer: (a) 15:4

Solution:

48. What is the volume (in cm³) of a cylinder if the radius of the cylinder is 8 cm and the height is 14 cm? (Take π = 22/7) [SSC CGL 09/09/2024 (2nd Shift)]

(a) 2686
(b) 2816
(c) 2784
(d) 2456

Correct Answer: (b) 2816

Solution:

49. From a circle with the radius of 15.75 cm, a sector with the arc length of 11 cm is cut off. Find the area (in cm²) of this sector. [SSC CGL 09/09/2024 (2nd Shift)]

(a) 86.525
(b) 86.625
(c) 86.875
(d) 86.125

Correct Answer: (b) 86.625

Solution:

50. A right-angled isosceles triangle has an area of 50 square units. Its hypotenuse is (in units): [SSC CGL 09/09/2024 (2nd Shift)]

(a) 10√3
(b) 5√5
(c) 10√2
(d) 5√2

Correct Answer: (c) 10√2

Solution:

Mensuration (Part-3)

41. The radius of a circle is equal to the side of a square. The perimeters of the square and circle are in the ratio 7: 11, then the ratio of the areas will be: (Use π = 22/7) [SSC MTS 13/11/2024 (Afternoon)]

42. The internal and external diameters of a bowl in the shape of a hemisphere are 26.6 cm and 28 cm, respectively. What is the cost (in ₹, to the nearest rupee) of painting it, all over, at the rate of ₹3.75/cm² ? (Take π = 22/7). [SSC MTS 13/11/2024 (Afternoon)]

43. If the radil of two right circular cylinders are in the ratio of 2:3 and their heights are in the ratio of 5: 4, then find the ratio of their curved surface areas? [SSC MTS 14/11/2024 (Morning)]

44. Solve it- [SSC MTS 14/11/2024 (Afternoon)]

46. A solid hemisphere of radius 12 cm is melted into N identical cones, each of radius 6 cm and height 8 cm. What is the value of N? [SSC MTS 14/11/2024 (Evening)]

47. The radii of the two cones are in the ratio of 2: 5 and their volumes are in the ratio of 3:5. What is the ratio of their heights? [SSC CGL 09/09/2024 (1st Shift)]

48. What is the volume (in cm³) of a cylinder if the radius of the cylinder is 8 cm and the height is 14 cm? (Take π = 22/7) [SSC CGL 09/09/2024 (2nd Shift)]

49. From a circle with the radius of 15.75 cm, a sector with the arc length of 11 cm is cut off. Find the area (in cm²) of this sector. [SSC CGL 09/09/2024 (2nd Shift)]

50. A right-angled isosceles triangle has an area of 50 square units. Its hypotenuse is (in units): [SSC CGL 09/09/2024 (2nd Shift)]

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