Mensuration (Part-4)

Total Questions: 50

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)]

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)]

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)]

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)]

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)]

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)]

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)]

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)]

Correct Answer: (b) 210
Solution: