Mensuration (Part-8)

41. The perimeter of a sector of a circle of radius 7.4 cm is 20.6 cm. The area of this sector is: [SSC CHSL 10/08/2023 (3rd Shift)]

(a) 42.92 cm²
(b) 5.8 cm²
(c) 10.73 cm²
(d) 21.46 cm²

Correct Answer: (d) 21.46 cm²

Solution:

42. The perimeter of a minor sector of a circle of radius 5 cm is 15.5 cm. Find the area of the minor sector (use π = 22/7). [SSC CHSL 11/08/2023 (1st Shift)]

(a) 17.53 cm²
(b) 13.75 cm²
(c) 13.57 cm²
(d) 17.35 cm²

Correct Answer: (b) 13.75 cm²

Solution:

43. A copper wire is bent in the form of a square and it encloses an area of 30.25 cm². If the same wire is bent to form a circle, then find the area of the circle. (use π = 22/7). [SSC CHSL 11/08/2023 (2nd Shift)]

(a) 38.50 cm²
(b) 42.25 cm²
(c) 35 cm²
(d) 30.25 cm²

Correct Answer: (a) 38.50 cm²

Solution:

44. A hemispherical bowl is made of 1 cm thick steel. The inside radius of the bowl is 4 cm. The volume of the steel (in cm³) used in making the bowl is: [SSC CHSL 17/08/2023 (2nd Shift)]

Correct Answer: (a)

Solution:

45. A rod of 5 cm radius and 52 cm length is converted into a wire of 100 cm length of uniform thickness. The radius of the wire (in cm) is: [SSC CHSL 17/08/2023 (4th Shift)]

(a) √13
(b) √15
(c) √23
(d) √17

Correct Answer: (a) √13

Solution:

46. Ranu carries water to school in a cylindrical flask with diameter 12 cm and height 21 cm. Determine the amount of water that she can carry in the flask. (Use π = 22/7) [SSC CGL 14/07/2023 (4th shift)]

(a) 2372 cm³
(b) 2370 cm³
(c) 2376 cm³
(d) 2374 cm³

Correct Answer: (c) 2376 cm³

Solution:

47. If the area of a circle is 616 cm² and a chord XY = 10 cm, then find the perpendicular distance from the center of the circle to the chord XY. [SSC CGL 17/07/2023 (1st shift)]

(a) √171 cm
(b) √161 cm
(c) √117 cm
(d) √181 cm

Correct Answer: (a) √171 cm

Solution:

48. The area of two triangles is in the ratio 5:3 and their heights are in the ratio 5:7. Find the ratio of their bases. [SSC CGL 17/07/2023 (1st shift)]

(a) 3:5
(b) 7:3
(c) 7:5
(d) 2:3

Correct Answer: (b) 7:3

Solution:

49. If the side of an equilateral triangle is increased by 34%, then by what percentage will its area increase? [SSC CGL 17/07/2023 (2nd shift)]

(a) 70.65%
(b) 79.56%
(c) 68.25%
(d) 75.15%

Correct Answer: (b) 79.56%

Solution:

50. An arc of length 23.1 cm subtends an 18° angle at the centre. What is the area of the circle?[Use π = 22/7] [SSC CGL 17/07/2023 (2nd shift)]

(a) 16978.50 cm²
(b) 16988.50 cm²
(c) 16878.50 cm²
(d) 16798.50 cm²

Correct Answer: (a) 16978.50 cm²

Solution:

Mensuration (Part-8)

41. The perimeter of a sector of a circle of radius 7.4 cm is 20.6 cm. The area of this sector is: [SSC CHSL 10/08/2023 (3rd Shift)]

42. The perimeter of a minor sector of a circle of radius 5 cm is 15.5 cm. Find the area of the minor sector (use π = 22/7). [SSC CHSL 11/08/2023 (1st Shift)]

43. A copper wire is bent in the form of a square and it encloses an area of 30.25 cm². If the same wire is bent to form a circle, then find the area of the circle. (use π = 22/7). [SSC CHSL 11/08/2023 (2nd Shift)]

44. A hemispherical bowl is made of 1 cm thick steel. The inside radius of the bowl is 4 cm. The volume of the steel (in cm³) used in making the bowl is: [SSC CHSL 17/08/2023 (2nd Shift)]

45. A rod of 5 cm radius and 52 cm length is converted into a wire of 100 cm length of uniform thickness. The radius of the wire (in cm) is: [SSC CHSL 17/08/2023 (4th Shift)]

46. Ranu carries water to school in a cylindrical flask with diameter 12 cm and height 21 cm. Determine the amount of water that she can carry in the flask. (Use π = 22/7) [SSC CGL 14/07/2023 (4th shift)]

47. If the area of a circle is 616 cm² and a chord XY = 10 cm, then find the perpendicular distance from the center of the circle to the chord XY. [SSC CGL 17/07/2023 (1st shift)]

48. The area of two triangles is in the ratio 5:3 and their heights are in the ratio 5:7. Find the ratio of their bases. [SSC CGL 17/07/2023 (1st shift)]

49. If the side of an equilateral triangle is increased by 34%, then by what percentage will its area increase? [SSC CGL 17/07/2023 (2nd shift)]

50. An arc of length 23.1 cm subtends an 18° angle at the centre. What is the area of the circle?[Use π = 22/7] [SSC CGL 17/07/2023 (2nd shift)]

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