Mensuration (Part-10)

41. There is a rectangular garden of 240 metres x 80 metres. A path of width 4 metres is build outside the garden along its four sides. What is the area of the path? [SSC CHSL 10/03/2023 (4th Shift)]

(a) 2826 metre²
(b) 2542 metre²
(c) 2916 metre²
(d) 2624 metre²

Correct Answer: (d) 2624 metre²

Solution:

42. The sum of the length, breadth, and height of a cuboid box is 20 cm and the total surface area of cuboid is 256 sq . cm. What is the maximum length (in approximate) of a stick that can be placed inside the cuboid box? [SSC CHSL 13/03/2023 (2nd Shift)]

(a) 32 cm
(b) 24 cm
(c) 16 cm
(d) 12 cm

Correct Answer: (d) 12 cm

Solution:

43. X, Y and Z are three equilateral triangles. The sum of the areas of X and Y is equal to the area of Z. If the side lengths of X and Y are 6 cm and 8 cm respectively, then what is the side length of Z? [SSC CHSL 13/03/2023 (2nd Shift)]

(a) 10.5 cm
(b) 10 cm
(c) 9.5 cm
(d) 9 cm

Correct Answer: (b) 10 cm

Solution:

44. An incircle with center O is drawn inside an equilateral triangle ABC and the length of the side is 12 cm. Find the area (in sq.cm) of the triangle which is not in the incircle. [SSC CHSL 13/03/2023 (2nd Shift)]

(a) 21.48
(b) 30.64
(c) 37.71
(d) 24.64

Correct Answer: (d) 24.64

Solution:

45. What is the area of a rhombus whose diagonals are of 8 cm and 13 cm? [SSC CHSL 13/03/2023 (4th Shift)]

(a) 52 cm²
(b) 96 cm²
(c) 44 cm²
(d) 84 cm²

Correct Answer: (a) 52 cm²

Solution:

46. If the radius of a sphere is thrice than the radius of a hemisphere, then what will be the respective ratio of their volumes ? [SSC CHSL 14/03/2023 (1st Shift)]

(a) 27:1
(b) 16:1
(c) 54:1
(d) 18:1

Correct Answer: (c) 54:1

Solution:

47. The ratio of the volume of the first and second cylinder is 32: 9 and the ratio of their heights is 8: 9. If the area of the base of the second cylinder is 616 cm², then what will be the radius of the first cylinder ? [SSC CHSL 14/03/2023 (2nd Shift)]

(a) 24 cm
(b) 20 cm
(c) 28 cm
(d) 36 cm

Correct Answer: (c) 28 cm

Solution:

48. Half of the perimeter of a rectangle is 30 cm. If the length of the rectangle is 6 cm more than its breadth, then what is the area of the rectangle? [SSC CHSL 14/03/2023 (4th Shift)]

(a) 216 cm²
(b) 250 cm²
(c) 185 cm²
(d) 195 cm²

Correct Answer: (a) 216 cm²

Solution:

49. If the square of product of three sides of the triangle is 1024 units and the area of its circumcircle is 16π, what is the area of the given triangle? [SSC CHSL 15/03/2023 (1st Shift)]

(a) 2 sq . units
(b) 3 sq . units
(c) 2.5 sq . units
(d) 4 sq . units

Correct Answer: (a) 2 sq . units

Solution:

50. The breadth of a rectangular floor is 3/5 of its length. If the area of the floor is 60 meter², then what is the diffrence between the length and breadth of the floor? [SSC CHSL 15/03/2023 (2nd Shift)]

(a) 6 m
(b) 7.5 m
(c) 5m
(d) 4 m

Correct Answer: (d) 4 m

Solution:

Mensuration (Part-10)

41. There is a rectangular garden of 240 metres x 80 metres. A path of width 4 metres is build outside the garden along its four sides. What is the area of the path? [SSC CHSL 10/03/2023 (4th Shift)]

42. The sum of the length, breadth, and height of a cuboid box is 20 cm and the total surface area of cuboid is 256 sq . cm. What is the maximum length (in approximate) of a stick that can be placed inside the cuboid box? [SSC CHSL 13/03/2023 (2nd Shift)]

43. X, Y and Z are three equilateral triangles. The sum of the areas of X and Y is equal to the area of Z. If the side lengths of X and Y are 6 cm and 8 cm respectively, then what is the side length of Z? [SSC CHSL 13/03/2023 (2nd Shift)]

44. An incircle with center O is drawn inside an equilateral triangle ABC and the length of the side is 12 cm. Find the area (in sq.cm) of the triangle which is not in the incircle. [SSC CHSL 13/03/2023 (2nd Shift)]

45. What is the area of a rhombus whose diagonals are of 8 cm and 13 cm? [SSC CHSL 13/03/2023 (4th Shift)]

46. If the radius of a sphere is thrice than the radius of a hemisphere, then what will be the respective ratio of their volumes ? [SSC CHSL 14/03/2023 (1st Shift)]

47. The ratio of the volume of the first and second cylinder is 32: 9 and the ratio of their heights is 8: 9. If the area of the base of the second cylinder is 616 cm², then what will be the radius of the first cylinder ? [SSC CHSL 14/03/2023 (2nd Shift)]

48. Half of the perimeter of a rectangle is 30 cm. If the length of the rectangle is 6 cm more than its breadth, then what is the area of the rectangle? [SSC CHSL 14/03/2023 (4th Shift)]

49. If the square of product of three sides of the triangle is 1024 units and the area of its circumcircle is 16π, what is the area of the given triangle? [SSC CHSL 15/03/2023 (1st Shift)]

50. The breadth of a rectangular floor is 3/5 of its length. If the area of the floor is 60 meter², then what is the diffrence between the length and breadth of the floor? [SSC CHSL 15/03/2023 (2nd Shift)]

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