Mensuration (Part-8)

31. If the height and slant height of a cone are 21 cm and 29 cm, respectively. 22 Find the volume. (Use π = 22/7) [SSC CHSL 02/08/2023 (3rd Shift)]

(a) 8800 cm³
(b) 8780 cm³
(c) 8440 cm³
(d) 8080 cm³

Correct Answer: (a) 8800 cm³

Solution:

32. The perimeter of a parallelogram is 48 cm. If the height of the parallelogram is 6 cm and the length of the adjacent side is 8 cm. find its area. [SSC CHSL 03/08/2023 (1st Shift)]

(a) 90 cm²
(b) 80 cm²
(c) 84 cm²
(d) 96 cm²

Correct Answer: (d) 96 cm²

Solution:

33. In an isosceles triangle, if the unequal side is 8 cm and equal side is 5 cm, then the area of the triangle is: [SSC CHSL 03/08/2023 (1st Shift)]

(a) 12 cm²
(b) 25 cm²
(c) 6 cm²
(d) 11 cm²

Correct Answer: (a) 12 cm²

Solution:

34. Find the volume of the largest possible sphere circumscribed by a cube of edge 7 cm. [SSC CHSL 03/08/2023 (2nd Shift)]

(a) 179.67 cm³
(b) 169.67 cm³
(c) 189.67 cm³
(d) 199.67 cm³

Correct Answer: (a) 179.67 cm³

Solution:

35. If a map of a city was drawn on a scale of 0.2 cm to a km, what area would represent a country if it has an area of 22500 km²? [SSC CHSL 04/08/2023 (2nd Shift)]

(a) 2500 cm²
(b) 2250 cm²
(c) 5625 cm²
(d) 900 cm²

Correct Answer: (d) 900 cm²

Solution:

36. The sides of the three cubes of metal are 15 cm, 18 cm and 25 cm, respectively. Find the side (in cm) of the new cube formed by melting these cubes together [SSC CHSL 04/08/2023 (2nd Shift)]

Correct Answer: (d)

Solution:

37. A shopkeeper usually makes one big besan laddoo (spherical in shape) with a radius of 9 cm. With the same laddoo, How many besan laddoos of radius 3 cm can be made?(Use π = 22/7) [SSC CHSL 04/08/2023 (3rd Shift)]

(a) 9
(b) 18
(c) 36
(d) 27

Correct Answer: (d) 27

Solution:

38. The area of a triangle is half the area of a square. The perimeter of the square is 172 cm. What is the area of the triangle (in cm²) ? [SSC CHSL 04/08/2023 (4th Shift)]

(a) 924.5
(b) 1984
(c) 1849
(d) 992

Correct Answer: (a) 924.5

Solution:

39. A cuboidal water tank is 12 m long, 9 m wide and 7.5 m deep. How many litres of water can it hold? [SSC CHSL 08/08/2023 (1st Shift)]

(a) 840000
(b) 805000
(c) 780000
(d) 810000

Correct Answer: (d) 810000

Solution:

40. What is the area of a triangular flower bed of a garden whose perimeter is 20 metres and two sides are 5 metres and 6 metres. [SSC CHSL 08/08/2023 (4th Shift)]

Correct Answer: (a)

Solution:

Mensuration (Part-8)

31. If the height and slant height of a cone are 21 cm and 29 cm, respectively. 22 Find the volume. (Use π = 22/7) [SSC CHSL 02/08/2023 (3rd Shift)]

32. The perimeter of a parallelogram is 48 cm. If the height of the parallelogram is 6 cm and the length of the adjacent side is 8 cm. find its area. [SSC CHSL 03/08/2023 (1st Shift)]

33. In an isosceles triangle, if the unequal side is 8 cm and equal side is 5 cm, then the area of the triangle is: [SSC CHSL 03/08/2023 (1st Shift)]

34. Find the volume of the largest possible sphere circumscribed by a cube of edge 7 cm. [SSC CHSL 03/08/2023 (2nd Shift)]

35. If a map of a city was drawn on a scale of 0.2 cm to a km, what area would represent a country if it has an area of 22500 km²? [SSC CHSL 04/08/2023 (2nd Shift)]

36. The sides of the three cubes of metal are 15 cm, 18 cm and 25 cm, respectively. Find the side (in cm) of the new cube formed by melting these cubes together [SSC CHSL 04/08/2023 (2nd Shift)]

37. A shopkeeper usually makes one big besan laddoo (spherical in shape) with a radius of 9 cm. With the same laddoo, How many besan laddoos of radius 3 cm can be made?(Use π = 22/7) [SSC CHSL 04/08/2023 (3rd Shift)]

38. The area of a triangle is half the area of a square. The perimeter of the square is 172 cm. What is the area of the triangle (in cm²) ? [SSC CHSL 04/08/2023 (4th Shift)]

39. A cuboidal water tank is 12 m long, 9 m wide and 7.5 m deep. How many litres of water can it hold? [SSC CHSL 08/08/2023 (1st Shift)]

40. What is the area of a triangular flower bed of a garden whose perimeter is 20 metres and two sides are 5 metres and 6 metres. [SSC CHSL 08/08/2023 (4th Shift)]

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