Mensuration (Part-12)

Total Questions: 50

11. The sum of the curved surface area and the total surface area of a solid cylinder is 2068 cm². If the radius of its base is 7 cm, then what is the volume of 22 this cylinder? (use π = 22/7) [SSC CGL Tier II (08/08/2022)]

Correct Answer: (c) 3080 cm³
Solution:

12. The slant height of a cone is 20 cm. If area of its base is 616cm² then what is the curved surface area of this cone? [SSC CGL Tier II (08/08/2022)]

Correct Answer: (d) 880 cm²
Solution:

13. The height of a cylinder is 6 cm more than the radius of its base. If its radius is 14 cm, then what will be volume of this cylinder ? (use π = 22/7) [SSC CGL Tier II (08/08/2022)]

Correct Answer: (d) 12320 cm³
Solution:

14. ABCD is a quadrilateral. The length of diagonal AC is 24 cm. The sum of perpendiculars drawn from vertex B and D on the diagonal AC is 10 cm. What is the area of the quadrilateral? [SSC CGL Tier II (08/08/2022)]

Correct Answer: (c) 120 cm²
Solution:

15. The difference between the areas of two concentric circles is 264cm². What is the difference between the square of their radius ? (use π = 22/7) [SSC CGL Tier II (08/08/2022)]

Correct Answer: (c) 84 cm²
Solution:

16. Volume of a cone whose radius of a base and height are r and h respectively, is 400cm³ . What will be the volume of a cone whose radius of base and height are 2r cm and h cm respectively? [SSC CGL Tier II (08/08/2022)]

Correct Answer: (b) 1600 cm³
Solution:

17. A conical vessel has radius 4 cm and its curved surface area is 20πcm². The volume of conical vessel is: [Graduate Level 02/08/2022 (Shift-3)]

Correct Answer: (d) 16πcm³
Solution:

18. A student wants to know the area of a rhombus, one of whose diagonals is 6 cm. He measures another diagonal as 8 cm. What is the area of the rhombus? [Graduate Level 05/08/2022 (Shift-3)]

Correct Answer: (c) 24 cm²
Solution:

19. The volumes of two cubes are in the ratio of 8 : 27. If the volume of the larger cube is 513 cm³ more than that of the smaller cube, find the length of each side of the smaller cube. [Higher Secondary 01/08/2022 (Shift-3)]

Correct Answer: (c) 6 cm
Solution:

20. A chord of a circle of radius 21 cm makes a right angle at the center. Find the area of major segment. (take π = 22/7) closest to nearest integer. [Higher Secondary 03/08/2022 (Shift-4)]

Correct Answer: (c) 1260 cm²
Solution: