Mensuration (Part-14)

Total Questions: 50

21. The difference between the areas of two concentric circles is 88 cm². If the radius of the inner circle is 6 cm then the area (in cm²) of the larger circle is closest to: (Use π = 22/7) [SSC MTS 08/10/2021 (Afternoon)]

Correct Answer: (b) 201
Solution:

22. A rectangular plot is 420 m long and 84 m wide. It is surrounded by semi-circular flower beds along all its sides. The area of the entire plot (in hectares) is x. The value of x (correct to one decimal place) is: (Use π = 22/7) [SSC MTS 08/10/2021 (Evening)]

Correct Answer: (c) 17.9
Solution:

23. From a wooden cubical block of side 10 cm, a sphere of radius 4.2 cm is carved out. How much wood is wasted in 22 the process (Use π = 22/7) [SSC MTS 11/10/2021 (Morning)]

Correct Answer: (b) 689.536 cm³
Solution:

24. A typist uses a paper of size 32 cmx 20 cm. He leaves a margin of 2 cm each on all the sides. If he leaves a margin of 1 cm only on all the sides. then what is the percentage of the increase in the area available for typing (correct to 2 decimal places)? [SSC MTS 11/10/2021 (Morning)]

Correct Answer: (a) 20.54%
Solution:

25. A rectangular water reservoir contains 126 kilolitres of water. The depth of the reservoir is 3.5 m and its length measures 8m. What is the width of the reservoir? [SSC MTS 11/10/2021 (Afternoon)]

Correct Answer: (a) 4.5 m
Solution:

26. A hall is 18 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the 3 areas of the four walls, the volume (in m³ ) of the hall is: [SSC MTS 12/10/2021 (Morning)]

Correct Answer: (c) 1555.2
Solution:

27. A wooden piece in the shape of a cuboid is divided into five equal parts by cutting it with four cuts perpendicular to its length, and it turns out that each piece is a cube of volume 27 cm³. What is the total surface area (in cm²) of the cuboid? [SSC MTS 12/10/2021 (Afternoon)]

Correct Answer: (d) 198
Solution:

28. The material of a sphere of radius r is melted and recast into a hollow cylindrical shell of thickness a and outer radius b. What is its length assuming that no material is lost in recasting? [SSC MTS 12/10/2021 (Afternoon)]

Correct Answer: (d)
Solution:

29. The radius of the base of a cone and also that of a hemisphere each is 14 cm. Also, the volumes of these two solids are equal. The curved surface area of the cone is: (Take π = 22/7) [SSC MTS 12/10/2021 (Evening)]

Correct Answer: (c) 616√5
Solution:

30. A boy walked along two adjacent sides of a rectangular field. If he had walked along the diagonal, then he would have saved a distance equal to one-fourth of the larger side. The ratio of the larger to the smaller side is: [SSC MTS 13/10/2021 (Morning)]

Correct Answer: (c) 24 : 7
Solution: