Mensuration (Part-4)

41. A cylindrical tank of radius 14 cm is full of water. If 616 litres of water are drawn out, then the water level in the tank is dropped by _____ m. (Take π = 22/7) [SSC CGL 25/09/2024 (2nd Shift)]

(a) 1000
(b) 100
(c) 1
(d) 10

Correct Answer: (d) 10

Solution:

42. Find the diameter (in cm) of a circle whose circumference is equal to the sum of the circumferences of two circles of radii 12 cm and 16 cm. [SSC CGL 25/09/2024 (2nd Shift)]

(a) 32
(b) 56
(c) 64
(d) 28

Correct Answer: (b) 56

Solution:

43. A well with 14 cm radius is dug 23 cm deep. Find the volume of the earth taken out of it. [SSC CGL 25/09/2024 (3rd Shift)]

(a) 14,178 cm³
(b) 14,108 cm³
(c) 14,168 cm³
(d) 15,168 cm³

Correct Answer: (c) 14,168 cm³

Solution:

44. What is the total surface area of a cone whose curved surface area is 550 cm² and radius is 7 cm? (Take π =22/7) [SSC CGL 26/09/2024 (1st Shift)]

(a) 764.71 cm²
(b) 704.00 cm²
(c) 682.60 cm²
(d) 714.05 cm²

Correct Answer: (b) 704.00 cm²

Solution:

45. From a point A, which is at a distance of 17 cm from the centre C of a circle with radius 8 cm, the pair of tangents AB and AD to the circle are drawn. The area of the quadrilateral ABCD is_____cm². [SSC CGL 26/09/2024 (1st Shift)]

(a) 192
(b) 120
(c) 60
(d) 360

Correct Answer: (b) 120

Solution:

46. The central angle of a sector is 80° and whose length is 96π. What is the radius of the circle ? [SSC CGL 26/09/2024 (2nd Shift)]

(a) 196 units
(b) 204 units
(c) 116 units
(d) 216 units

Correct Answer: (d) 216 units

Solution:

47. A largest possible sphere is carved from a cube of side 14 cm. What is its volume in cm³? [SSC CHSL 01/07/2024 (1st Shift)]

Correct Answer: (c)

Solution:

48. The respective ratio between numerical values of the curved surface area and the volume of a right circular cylinder is 2 3. If the respective ratio between the radius and the height of the cylinder is 3: 7, what is the total surface area of the cylinder? [SSC CHSL 01/07/2024 (2nd Shift)]

(a) 62 π cm²
(b) 45 π cm²
(c) 65 π cm²
(d) 60 π cm²

Correct Answer: (d) 60 π cm²

Solution:

49. The surface areas of two spheres are in the ratio 25: 36. What is the ratio of their volumes? [SSC CHSL 01/07/2024 (2nd Shift)]

Correct Answer: (b)

Solution:

50. The sides of a cuboid are in the ratio 3:4:5 and its surface area is equal to the surface area of the cube with side 6 units. What is the approximate volume of the Cuboid? [SSC CHSL 01/07/2024 (2nd Shift)]

(a) 240
(b) 210
(c) 150
(d) 180

Correct Answer: (b) 210

Solution:

Mensuration (Part-4)

41. A cylindrical tank of radius 14 cm is full of water. If 616 litres of water are drawn out, then the water level in the tank is dropped by _____ m. (Take π = 22/7) [SSC CGL 25/09/2024 (2nd Shift)]

42. Find the diameter (in cm) of a circle whose circumference is equal to the sum of the circumferences of two circles of radii 12 cm and 16 cm. [SSC CGL 25/09/2024 (2nd Shift)]

43. A well with 14 cm radius is dug 23 cm deep. Find the volume of the earth taken out of it. [SSC CGL 25/09/2024 (3rd Shift)]

44. What is the total surface area of a cone whose curved surface area is 550 cm² and radius is 7 cm? (Take π =22/7) [SSC CGL 26/09/2024 (1st Shift)]

45. From a point A, which is at a distance of 17 cm from the centre C of a circle with radius 8 cm, the pair of tangents AB and AD to the circle are drawn. The area of the quadrilateral ABCD is_____cm². [SSC CGL 26/09/2024 (1st Shift)]

46. The central angle of a sector is 80° and whose length is 96π. What is the radius of the circle ? [SSC CGL 26/09/2024 (2nd Shift)]

47. A largest possible sphere is carved from a cube of side 14 cm. What is its volume in cm³? [SSC CHSL 01/07/2024 (1st Shift)]

48. The respective ratio between numerical values of the curved surface area and the volume of a right circular cylinder is 2 3. If the respective ratio between the radius and the height of the cylinder is 3: 7, what is the total surface area of the cylinder? [SSC CHSL 01/07/2024 (2nd Shift)]

49. The surface areas of two spheres are in the ratio 25: 36. What is the ratio of their volumes? [SSC CHSL 01/07/2024 (2nd Shift)]

50. The sides of a cuboid are in the ratio 3:4:5 and its surface area is equal to the surface area of the cube with side 6 units. What is the approximate volume of the Cuboid? [SSC CHSL 01/07/2024 (2nd Shift)]

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