Mensuration (Part-14)

Total Questions: 50

31. The length of a rectangle is three-fifth of the radius of a circle. The radius of the circle is equal to the side of a square whose area is 6400 m². Find the area (in m²) of the rectangle, if the breadth is 20 m is: [SSC MTS 13/10/2021 (Morning)]

Correct Answer: (c) 960
Solution:

32. Kamala has three cylindrical containers, each with radius 20 cm that she wants to fill with grain. If her bag of grain contains 100 kg of grain, and she fills all three containers to a height of 70 cm, how much grain will be left in the bag. If 1 kg grain occupies 3000 cm³ space? (Use π = 22/7) [SSC MTS 13/10/2021 (Afternoon)]

Correct Answer: (d) 12 kg
Solution:

33. The radius of a spherical balloon increases from 6 cm to 10 cm when more air is pumped into it. The ratio of the surface area of the original balloon and the inflated balloon is: [SSC MTS 13/10/2021 (Afternoon)]

Correct Answer: (d) 9:25
Solution:

34. The radius of a cylinder is reduced to 50% of its actual radius. If its volume remains the same as before, then its height becomes k times the original height. The value of k is: [SSC MTS 14/10/2021 (Evening)]

Correct Answer: (d) 4
Solution:

35. The length and breadth of a rectangle are 35 cm and 12 cm, respectively. What will be the circumference of the circle that inscribes this rectangle ? (π= 22/7) [SSC MTS 14/10/2021 (Evening)]

Correct Answer: (d)
Solution:

36. Four solid cubes, each of volume 1728 cm³ are kept in two rows having two cubes in each row. They form a rectangular solid with a square base. The total surface area (in cm²) of the resulting solid is: [SSC MTS 18/10/2021 (Afternoon)]

Correct Answer: (b) 2304
Solution:

37. A right circular cone is inscribed in a cube of side 14 cm occupying the maximum space possible. What is the ratio of the volume of the cube to the volume of the cone ? (π [SSC MTS 18/10/2021 (Afternoon)]

Correct Answer: (c) 42 : 11
Solution:

38. Three circles, each having radius equal to 4 cm, are drawn with the vertices of an equilateral triangle as the centres. If the length of each side of the triangle is equal to 8 cm, then what is the area (in cm²) of the portion of the triangle that is NOT covered by the sectors of the circles ? [SSC MTS 18/10/2021 (Evening)]

Correct Answer: (b)
Solution:

39. Three cubes each having volume 1728 cm³ are placed one above the other. What is the total surface area of the resulting solid? [SSC MTS 20/10/2021 (Morning)]

Correct Answer: (d) 2016
Solution:

40. In the given figure, the area of the unshaded region is 35% of the area of the shaded region. What is the value of x [SSC MTS 20/10/2021 (Morning)]

Correct Answer: (c) 10
Solution: