Mensuration (Part-12)

Total Questions: 50

21. A goat is tied with a 10.5 m-long rope to one corner of a plot which is in the shape of an equilateral triangle each side of which is 16 m long. Find the area that the goat can graze on. [SSC MTS 05/07/2022 (Morning)]

Correct Answer: (c) 57.75 m²
Solution:

22. If the height and the radius of the base of a cone are both doubled, the volume of the cone becomes ______ of its previous volume. [SSC MTS 05/07/2022 (Morning)]

Correct Answer: (d) 8 times
Solution:

23. A smaller circle touches a bigger circle internally and also passes through the centre 'O' of the bigger circle. If the area of the smaller circle is 192cm², the area of the bigger circle (in cm²) is : [SSC MTS 05/07/2022 (Evening)]

Correct Answer: (a) 768
Solution:

24. The perimeter of a square is equal to the perimeter of a rectangle, and the latter has a width of 12 cm. The area of the square is 400cm². Find the area of the rectangle. [SSC MTS 06/07/2022 (Morning)]

Correct Answer: (d) 336 cm²
Solution:

25. If the total surface area of a sphere of radius r cm is equal to the total surface area of a cube of side s cm, which of the following is true? [SSC MTS 06/07/2022 (Morning)]

Correct Answer: (d) r < s
Solution:

26. The volume of a wall whose height is six times its breadth and length is half its height, is 23958 cm³. What is the breadth of the wall? [SSC MTS 06/07/2022 (Afternoon)]

Correct Answer: (c) 11 cm
Solution:

27. A goldsmith uses 110 cm³ of gold to make a wire 1 mm in diameter. He will use this wire to make gold chains of equal lengths. If each chain requires 56 cm length of wire, then how many gold chains can he make? [use π = 22/7] [SSC MTS 07/07/2022 (Morning)]

Correct Answer: (b) 250
Solution:

28. The measures of the outer dimensions of a closed metal box are given as 15 cm x 18 cm x 8 cm. The thickness of the metal is 1.5 cm. What will be the volume of the metal required to make the box? [SSC MTS 07/07/2022 (Evening)]

Correct Answer: (d) 1260 cm³
Solution:

29. The length of a side of an equilateral triangle is 120 cm less than its perimeter. What is the area of the equilateral triangle? [SSC MTS 07/07/2022 (Evening)]

Correct Answer: (b) 900√3 cm²
Solution:

30. The volume of a cuboid is 3300 cm³. The sum of the length and the breadth of the cuboid is 37 cm. If the difference between the length and the breadth of the cuboid is 13 cm, then what is the height of the cuboid? [SSC MTS 08/07/2022 (Morning)]

Correct Answer: (b) 11 cm
Solution: