Mensuration (Part-12)

Total Questions: 50

31. The length and the breadth of a rectangular cardboard are 40 cm and 35 cm, respectively. If the biggest possible square is cut out from this cardboard, what is the area of the remaining part of the cardboard? [SSC MTS 08/07/2022 (Afternoon)]

Correct Answer: (a) 175 cm²
Solution:

32. The diagonal of a rectangle is 12 cm long and it is twice as long as one of the sides of the rectangle. Find area of the rectangle? [SSC MTS 08/07/2022 (Evening)]

Correct Answer: (c) 36√3 cm²
Solution:

33. A solid sphere whose radius is 21 cm is melted and recast into a regular pyramid of square base. If the height of the pyramid is 66 cm, then what is the length of each side of the base of the pyramid ? [use π = 22/7] [SSC MTS 08/07/2022 (Evening)]

Correct Answer: (c) 42 cm
Solution:

34. The total surface area of a closed cube is 128 cm² than the area of a square. If the length of each side of the cube is 8 cm, then what is the length of each side of the square? [SSC MTS 11/07/2022 (Morning)]

Correct Answer: (a) 16 cm
Solution:

35. In a camp, there are tents of the same shape and size. Each tent is cylindrical up to a height of 4 m and conical above it. The diameters of the bases of the cylinder and the cone are both 10.5 m and the slant height of the conical part is 10 m. If a total of 3861m² canvas is used in making all the tents, then how many tents are there in the camp ? [use π = 22/7] [SSC MTS 11/07/2022 (Evening)]

Correct Answer: (d) 13
Solution:

36. A rectangular LCD has an area of 480 cm² and a perimeter of 92 cm. If the size of the LCD is defined in term of length of the diagonal, then what is the size of the LCD? [SSC MTS 12/07/2022 (Evening)]

Correct Answer: (a) 34 cm
Solution:

37. If the circumference of a circle is equal to the perimeter of a square and the radius of the given circle is positive, then which of the following options is correct? [SSC MTS 12/07/2022 (Evening)]

Correct Answer: (a) Area of the circle > Area of the square
Solution:

38. If the length of one side of a rectangle is twice that of the other side, and its perimeter is 54 cm, then what is the length of the longer side of this rectangle? [SSC MTS 13/07/2022 (Evening)]

Correct Answer: (d) 18 cm
Solution:

If length is 2x then breath is x
Perimeter of rectangle = 2(l +b) = 54
2(2x + x) = 54 ⇒ x = 9
Length = 2x = 2 x 9 = 18 cm

39. A person uses a rectangular metallic sheet of 45 m x 30 m for making an open box. From each corner of the sheet he cut offs a square. If the length of one side of each of the squares is 10 m, then what will be the volume of the box (in m³) ? [SSC MTS 13/07/2022 (Evening)]

Correct Answer: (d) 2500
Solution:

40. The length of the longest diagonal that can be placed in a closed cube is 50√3 cm. What is the total surface area of this cube? [SSC MTS 14/07/2022 (Evening)]

Correct Answer: (a) 15000 cm²
Solution: