Mensuration (Part-7)

Total Questions: 50

31. The base of a parallelogram is thrice its height. If the area of the parallelogram is 1020 cm², then what is its height? [Higher Secondary 25/06/2024 (Shift-2)]

Correct Answer: (a) 2√85cm
Solution:

32. A sphere and a cube have equal surface areas. The ratio of the volume of the sphere to that of the cube is: [Higher Secondary 25/06/2024 (Shift-4)]

Correct Answer: (a) √6 : π
Solution:

33. The surface area of a sphere is 2464 cm². Calculate its volume.(Use π = 22/7 ) [Higher Secondary 26/06/2024 (Shift-2)]

Correct Answer: (d) 11498.67 cm³
Solution:

34. The area of the rhombus (in cm²) having each side equal to 13 cm and one of its diagonals equal to 24 cm is: [Graduate Level 20/06/2024 (Shift-3)]

Correct Answer: (b) 120
Solution:

35. Find the area (in cm²) of a circle with a maximum radius that can be inscribed in a rectangle of length 18 cm and breadth 12 cm. [Graduate Level 20/06/2024 (Shift-3)]

Correct Answer: (d) 36π
Solution:

36. The difference between the total surface area and lateral surface area of a cube, if the side of the cube is 11 cm (in square cm), is______ . [Graduate Level 26/06/2024 (Shift-3)]

Correct Answer: (c) 242
Solution:

37. If the radius of the right circular cone is increased by 20% and its height is decreased by 25%, then the volume of the right circular cone will be increased by: [Graduate Level 26/06/2024 (Shift-4)]

Correct Answer: (d) 8%
Solution:

38. Half the perimeter of rectangular garden, whose length is 8 cm more than its width, is 42 cm. Find the a area of the rectangular garden. [Graduate Level 26/06/2024 (Shift-4)]

Correct Answer: (b) 425 cm²
Solution:

39. The volume of a cube is 64 cm³. The total surface area of the cube is: [Graduate Level 26/06/2024 (Shift-4)]

Correct Answer: (c) 96 cm²
Solution:

40. The diameter of a sphere is increased by 30%. What is the percentage increase in its volume? [SSC CHSL Tier II (02/11/2023)]

Correct Answer: (b) 119.7%
Solution: