Mensuration (Part-6)

Total Questions: 50

21. The ratio of the outer and the inner circumference of a circular path is 7 : 6. If the path is 45 m wide, then what is the radius (in m) of the inner circle? [SSC CHSL 10/07/2024 (2nd Shift)]

Correct Answer: (b) 270
Solution:

Let the radius of outer circle
be R and inner circle be r.
2πR : 2πr = 7 : 6 ⇒ R : r = 7 : 6
Diffrence (7 - 6) = 1 unit
1 unit = 45m
Hence, radius of inner circle (6 unit)
= 45 × 6 = 270 m

22. A solid metallic cube having surface area of 54 cm² is melted to form smaller cubes of surface area 8/12 cm² each. Find the number of smaller cubes. [SSC CHSL 10/07/2024 (4th Shift)]

Correct Answer: (d) 729
Solution:

23. Find the surface area (in cm²) of a cardboard box in the shape of a cuboid whose length is 60 cm, breadth is half its length and height is one-third of its breadth. [SSC CHSL 11/07/2024 (1st Shift)]

Correct Answer: (d) 5400
Solution:

24. From a circle of radius r units, the largest equilateral triangle is cut out. What is the length (in units) of the side of the triangle? [SSC CHSL 11/07/2024 (1st Shift)]

Correct Answer: (c) √3r
Solution:

25. If the area of a rhombus is 70 m² and its height is 5 m, its perimeter is______ . [SSC CHSL 11/07/2024 (2nd Shift)]

Correct Answer: (c) 56 m
Solution:

26. The measure of each side of an equilateral triangle is 16 cm. What is the ratio of its perimeter to the sum of its medians? [SSC CHSL 11/07/2024 (2nd Shift)]

Correct Answer: (c) 2 : √3
Solution:

27. A hemispherical bowl is made of silver and has an inner diameter of 4 cm if the thickness of silver is 0.5 cm. Find the volume of silver used in making the bowl correct to two places of decimals (use π = 3.14) [SSC CHSL 11/07/2024 (2nd Shift)]

Correct Answer: (c) 15.96 cm³
Solution:

28. The volume of the rectangular block is 12288 m³. Its dimensions are in the ratio of 4 : 3 : 2. If the entire surface is polished at the rate 2 paise per m²,then find the total cost of polishing : [SSC CHSL 11/07/2024 (4th Shift)]

Correct Answer: (c) ₹66.56
Solution:

29. A hemispherical bowl is 88 cm round the brim. Assuming it to be full, how many persons may be served from it in hemispherical glasses, 7 cm in diameter at the top ? (Where π = 22/7) [SSC CPO 27/06/2024 (1st Shift)]

Correct Answer: (c) 64
Solution:

30. The chord length of a chord made on an arc of a circle is equal to the radius of the circle. The length of the arc is______(in units), if the radius of the circle is 21 units. (Take π = 22/7) [SSC CPO 27/06/2024 (1st Shift)]

Correct Answer: (b) 22
Solution: