Mensuration (Part-10)

11. Sides of a triangle are 6 cm, 8 cm and 10 cm. What is the area of the triangle ? [SSC MTS 12/05/2023 (Afternoon)]

(a) 20 cm²
(b) 28 cm²
(c) 24 cm²
(d) 16 cm²

Correct Answer: (c) 24 cm²

Solution:

12. What is the area of the lateral surface of a right circular cylinder, If the circumference of the base is 22 cm and its height is four times of its radius? [SSC MTS 12/05/2023 (Evening)]

(a) 388 cm²
(b) 308 cm²
(c) 408 cm²
(d) 288 cm²

Correct Answer: (b) 308 cm²

Solution:

13. If the heights of two cylinders are in the ratio of 7:9 and their diameters are in the ratio of 6:7, then what is the ratio of the volumes of the cylinders? [SSC MTS 15/05/2023 (Afternoon)]

(a) 6:7
(b) 7:9
(c) 5:9
(d) 4:7

Correct Answer: (d) 4:7

Solution:

14. If the curved surface area of a solid cylinder is two-fifth of its total surface area, then what is the ratio of its diameter to its height ? [SSC MTS 15/05/2023 (Evening)]

(a) 2:5
(b) 1:2
(c) 2:3
(d) 3:1

Correct Answer: (d) 3:1

Solution:

15. Difference between the circumferences of two circles is 4.4 cm and radius of the smaller circle is 1.4 cm. The radius of the larger circle is: [SSC MTS 16/05/2023 (Morning)]

(a) 4.1 cm
(b) 0.7 cm
(c) 2.1 cm
(d) 3.5 cm

Correct Answer: (c) 2.1 cm

Solution:

16. Nine times the area of a circle is same as the three times the area of a square. What is the ratio of the diameter of the circle and diagonal of the square? [SSC MTS 16/05/2023 (Afternoon)]

(a) √2 : √3π
(b) 2 : √3π
(c) 2 : 3π
(d) √15 : √17π

Correct Answer: (a) √2 : √3π

Solution:

17. How many litre of water can a hemispherical bowl of diameter 21 m hold? (1m³-1000 litre) [SSC MTS 16/05/2023 (Afternoon)]

(a) 2100000 litre
(b) 2425500 litre
(c) 2322500 litre
(d) 2250500 litre

Correct Answer: (b) 2425500 litre

Solution:

18. A solid cylinder having radius of base as 28 cm and height as 24 cm is bisected from its height to get two identical cylinders. What will be the percentage increase in the total surface area? [SSC MTS 17/05/2023 (Morning)]

(a) 61.72 percent
(b) 41.92 percent
(c) 53.85 percent
(d) 48.64 percent

Correct Answer: (c) 53.85 percent

Solution:

19. The height and curved surface area of the cylinder are 15 cm and 330 cm². Find the diameter of the cylinder. [SSC MTS 17/05/2023 (Morning)]

(a) 2 cm
(b) 5 cm
(c) 7 cm
(d) 6 cm

Correct Answer: (c) 7 cm

Solution:

20. The length, breadth, height of a room are 6 m 40 cm, 4 m 80 cm and 3 m 20 cm respectively. Find the longest tape which can measure the dimensions of the room exactly. [SSC MTS 17/05/2023 (Morning)]

(a) 1 m 80 cm
(b) 1 m 20 cm
(c) 1 m 60 cm
(d) 1 m 40 cm

Correct Answer: (c) 1 m 60 cm

Solution:

Mensuration (Part-10)

11. Sides of a triangle are 6 cm, 8 cm and 10 cm. What is the area of the triangle ? [SSC MTS 12/05/2023 (Afternoon)]

12. What is the area of the lateral surface of a right circular cylinder, If the circumference of the base is 22 cm and its height is four times of its radius? [SSC MTS 12/05/2023 (Evening)]

13. If the heights of two cylinders are in the ratio of 7:9 and their diameters are in the ratio of 6:7, then what is the ratio of the volumes of the cylinders? [SSC MTS 15/05/2023 (Afternoon)]

14. If the curved surface area of a solid cylinder is two-fifth of its total surface area, then what is the ratio of its diameter to its height ? [SSC MTS 15/05/2023 (Evening)]

15. Difference between the circumferences of two circles is 4.4 cm and radius of the smaller circle is 1.4 cm. The radius of the larger circle is: [SSC MTS 16/05/2023 (Morning)]

16. Nine times the area of a circle is same as the three times the area of a square. What is the ratio of the diameter of the circle and diagonal of the square? [SSC MTS 16/05/2023 (Afternoon)]

17. How many litre of water can a hemispherical bowl of diameter 21 m hold? (1m³-1000 litre) [SSC MTS 16/05/2023 (Afternoon)]

18. A solid cylinder having radius of base as 28 cm and height as 24 cm is bisected from its height to get two identical cylinders. What will be the percentage increase in the total surface area? [SSC MTS 17/05/2023 (Morning)]

19. The height and curved surface area of the cylinder are 15 cm and 330 cm². Find the diameter of the cylinder. [SSC MTS 17/05/2023 (Morning)]

20. The length, breadth, height of a room are 6 m 40 cm, 4 m 80 cm and 3 m 20 cm respectively. Find the longest tape which can measure the dimensions of the room exactly. [SSC MTS 17/05/2023 (Morning)]

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