Mensuration

31. Simplify [SSC CHSL 07/08/2023 (4th Shift)]

(a) 13.21cm³
(b) 21.31cm³
(c) 11.23cm³
(d) 12.13cm³

Correct Answer: (c) 11.23cm³

Solution:

32. The sum of the radius of the base and the height of a cylinder is 42 m. If the total surface area of the cylinder is 6336 m², find the curved surface area of the cylinder correct to two places of decimals (use π = 22/7) [SSC CHSL 02/08/2023 (4th Shift)]

(a) 2157.43 m²
(b) 2571.43 m²
(c) 2715.43 m²
(d) 2517.43 m²

Correct Answer: (c) 2715.43 m²

Solution:

33. Three cubes with sides in the ratio of 3:4:5 are melted to form a single cube whose diagonal is 18√3 cm. The sides of the three cubes are: [SSC CGL 20/07/2023 (1st shift)]

(a) 21 cm, 28 cm and 35 cm
(b) 9 cm, 12 cm and 15 cm
(c) 18 cm, 24 cm and 30 cm
(d) 12 cm, 16 cm and 20 cm

Correct Answer: (b) 9 cm, 12 cm and 15 cm

Solution:

34. Simplify [Matriculation Level 30/06/2023 (Shift-4)]

(a) 4 unit²
(b) 1 unit²
(c) 3 unit²
(d) 2 unit²

Correct Answer: (b) 1 unit²

Solution:

35. A spherical ball of diameter 8 cm is cut into two equal parts. The curved area of one such part has to be painted with green colour, while the other part has to be painted with red colour. The bases of both the hemispheres are to be painted with blue colour. The cost of painting with blue is ₹2/cm², while the cost of painting the curved area is ₹3/cm². What will be the cost (in₹) of painting the hemispheres ? Take π = 3.14 [Matriculation Level 28/06/2023 (Shift-4)]

(a) ₹451.92
(b) ₹492.92
(c) ₹803.84
(d) ₹401.92

Correct Answer: (c) ₹803.84

Solution:

36. A cube of side 5 cm, has been assembled using 125 cubes each of 1 cm edge. One cube is removed from the middle of each of the faces of the cube. What is the surface area (in cm²) of the remaining solid? [SSC CHSL Tier II (26/06/2023)]

(a) 155
(b) 144
(c) 150
(d) 174

Correct Answer: (d) 174

Solution:

37. A prism and a pyramid have the same base and the same height. Find the ratio of the volumes of the prism and the pyramid. [SSC CGL Tier II (07/03/2023)]

(a) 2:3
(b) 3:1
(c) 1:3
(d) 3:2

Correct Answer: (b) 3:1

Solution:

38. How many metres of 2 m wide cloth will be required to make a conical tent with the diameter of the base as 14 m and slant height as 9 m to ignore wastage? [SSC CGL 12/12/2022 (1st Shift)]

(a) 66 m
(b) 88 m
(c) 99 m
(d) 77 m

Correct Answer: (c) 99 m

Solution:

39. The minute hand of a clock is 20 cm long. Find the area on the face of the clock swept by the minute hand between 8 a.m. and 8:45 a.m. [SSC CGL 12/12/2022 (1st Shift)]

Correct Answer: (a)

Solution:

40. The external diameter of an iron pipe is 20 cm and its length is 12 cm. If the thickness of the pipe is 1 cm, find the surface area of the pipe (take π = 22/7) correct to two places of decimal. [SSC CGL 06/12/2022 (2nd Shift)]

(a) 1,662.67 cm²
(b) 1,552.57 cm²
(c) 1,442.48 cm²
(d) 1,772.76 cm²

Correct Answer: (b) 1,552.57 cm²

Solution:

Mensuration

31. Simplify [SSC CHSL 07/08/2023 (4th Shift)]

32. The sum of the radius of the base and the height of a cylinder is 42 m. If the total surface area of the cylinder is 6336 m², find the curved surface area of the cylinder correct to two places of decimals (use π = 22/7) [SSC CHSL 02/08/2023 (4th Shift)]

33. Three cubes with sides in the ratio of 3:4:5 are melted to form a single cube whose diagonal is 18√3 cm. The sides of the three cubes are: [SSC CGL 20/07/2023 (1st shift)]

34. Simplify [Matriculation Level 30/06/2023 (Shift-4)]

36. A cube of side 5 cm, has been assembled using 125 cubes each of 1 cm edge. One cube is removed from the middle of each of the faces of the cube. What is the surface area (in cm²) of the remaining solid? [SSC CHSL Tier II (26/06/2023)]

37. A prism and a pyramid have the same base and the same height. Find the ratio of the volumes of the prism and the pyramid. [SSC CGL Tier II (07/03/2023)]

38. How many metres of 2 m wide cloth will be required to make a conical tent with the diameter of the base as 14 m and slant height as 9 m to ignore wastage? [SSC CGL 12/12/2022 (1st Shift)]

39. The minute hand of a clock is 20 cm long. Find the area on the face of the clock swept by the minute hand between 8 a.m. and 8:45 a.m. [SSC CGL 12/12/2022 (1st Shift)]

40. The external diameter of an iron pipe is 20 cm and its length is 12 cm. If the thickness of the pipe is 1 cm, find the surface area of the pipe (take π = 22/7) correct to two places of decimal. [SSC CGL 06/12/2022 (2nd Shift)]

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