Mensuration (Part-9)

21. The length, breadth and height of a hall are 10m, 20m and 15m respectively. Find the cost whitewashing the walls of the inside of the hall and ceiling at the rate of ₹10.20/m² [SSC CGL 25/07/2023 (2nd shift)]

(a) ₹13,394
(b) ₹11,220
(c) ₹15,320
(d) ₹16,542

Correct Answer: (b) ₹11,220

Solution:

22. A cuboid with sides 4, 6 and 8 units is covered with paper. The paper is removed and a square is made from it. What is the side (in units) of the square? [SSC CGL 25/07/2023 (4th shift)]

(a) 12.24
(b) 16.62
(c) 14.42
(d) 12.62

Correct Answer: (c) 14.42

23. What is the surface area (in cm²) of a spherical sculpture whose radius is 35 cm? (Take π = 22/7) [SSC CGL 26/07/2023 (2nd shift)]

(a) 16540
(b) 15700
(c) 15400
(d) 14500

Correct Answer: (c) 15400

Solution:

24. A petrol tank is of length 50 m, breadth 25 m, and depth 10 m. How petrol can be accommodated in the petrol tank when it many litres of is completely filled? [SSC CGL 26/07/2023 (2nd shift)]

(a) 1,25,00,000
(b) 12,50,000
(c) 1,25,000
(d) 12500

Correct Answer: (a) 1,25,00,000

Solution:

25. In the following figure, the length of arc AB is equal to five times of the radius r of the circle. Find the area of sector AOB ? [SSC CGL 27/07/2023 (1st shift)]

Correct Answer: (a)

Solution:

26. A hemispherical bowl has a radius of 7 cm. It is to be painted from inside as well as outside. Find the cost of painting it at the rate of Rs.40 per 20 cm²? (Take the thickness of the bowl as negligible). [SSC CGL 27/07/2023 (1st shift)]

(a) Rs.1,232
(b) Rs.1,125
(c) Rs.1,432
(d) Rs.1,550

Correct Answer: (a) Rs.1,232

Solution:

27. A circular arc whose radius is 4 cm makes an angle 45° at the centre. Find the perimeter of the sector formed. (Take π = 22/7) [SSC CGL 27/07/2023 (3rd shift)]

Correct Answer: (a)

Solution:

28. If the volume of a cube is given as 12167 cm³, then the surface area of the cube will be: [Graduate Level 27/06/2023 (Shift-4)]

(a) 3475 cm²
(b) 4574 cm²
(c) 3174 cm²
(d) 5413 cm²

Correct Answer: (c) 3174 cm²

Solution:

29. What is the side of a cube (in metres) in which an iron rod of maximum length 10 metres can be put ? [Graduate Level 28/06/2023 (Shift-3)]

(a) 5.77
(b) 7.57
(c) 5.57
(d) 7.75

Correct Answer: (a) 5.77

Solution:

30. The volume of a cylinder is 1650 m³, whereas the surface area of its base is (78)7/4 m². Find the height of the cylinder. [Graduate Level 30/06/2023 (Shift-1)]

(a) 7.5 m
(b) 14m
(c) 21 m
(d) 2.1 m

Correct Answer: (c) 21 m

Solution:

Mensuration (Part-9)

21. The length, breadth and height of a hall are 10m, 20m and 15m respectively. Find the cost whitewashing the walls of the inside of the hall and ceiling at the rate of ₹10.20/m² [SSC CGL 25/07/2023 (2nd shift)]

22. A cuboid with sides 4, 6 and 8 units is covered with paper. The paper is removed and a square is made from it. What is the side (in units) of the square? [SSC CGL 25/07/2023 (4th shift)]

23. What is the surface area (in cm²) of a spherical sculpture whose radius is 35 cm? (Take π = 22/7) [SSC CGL 26/07/2023 (2nd shift)]

24. A petrol tank is of length 50 m, breadth 25 m, and depth 10 m. How petrol can be accommodated in the petrol tank when it many litres of is completely filled? [SSC CGL 26/07/2023 (2nd shift)]

25. In the following figure, the length of arc AB is equal to five times of the radius r of the circle. Find the area of sector AOB ? [SSC CGL 27/07/2023 (1st shift)]

26. A hemispherical bowl has a radius of 7 cm. It is to be painted from inside as well as outside. Find the cost of painting it at the rate of Rs.40 per 20 cm²? (Take the thickness of the bowl as negligible). [SSC CGL 27/07/2023 (1st shift)]

27. A circular arc whose radius is 4 cm makes an angle 45° at the centre. Find the perimeter of the sector formed. (Take π = 22/7) [SSC CGL 27/07/2023 (3rd shift)]

28. If the volume of a cube is given as 12167 cm³, then the surface area of the cube will be: [Graduate Level 27/06/2023 (Shift-4)]

29. What is the side of a cube (in metres) in which an iron rod of maximum length 10 metres can be put ? [Graduate Level 28/06/2023 (Shift-3)]

30. The volume of a cylinder is 1650 m³, whereas the surface area of its base is (78)7/4 m². Find the height of the cylinder. [Graduate Level 30/06/2023 (Shift-1)]

Related Posts