Mensuration (Part-4)

Total Questions: 50

21. The circumference of the base of a cylindrical vessel is 44 cm and its height is 25 cm. How many liters of water can it hold? (Take π = 22/7) [SSC CGL 17/09/2024 (1st Shift)]

Correct Answer: (c) 3.85
Solution:

22. M and N are, respectively, the centres of two circles of radii 12 cm and 8 cm. QR is the common tangent to the circles. If MN = 16 cm, then what will be the length of QR ? [SSC CGL 17/09/2024 (2nd Shift)]

Correct Answer: (b) 4√15 cm
Solution:

23. AB and CD are two parallel chords drawn in a circle with centre O. The distance between the two chords is 21 cm. If the lengths of AB and CD are 24 cm and 18 cm, respectively, then the radius of the circle is equal to: [SSC CGL 17/09/2024 (2nd Shift)]

Correct Answer: (a) 15 cm
Solution:

24. Find the length of the longest stick that can be fitted in a cubical vessel of edge 70 cm. [SSC CGL 17/09/2024 (2nd Shift)]

Correct Answer: (b) 70√3cm
Solution:

25. In a rhombus PQRS, O is any interior point such that OP = OR. What is the degree measure of ∠SOQ? [SSC CGL 17/09/2024 (2nd Shift)]

Correct Answer: (b) 180°
Solution:

26. If the height and diameter of a cm 12 and 28 cm, respectively, then find the ratio of the cylinder are total surface area to the curved surface area. [SSC CGL 17/09/2024 (2nd Shift)]

Correct Answer: (c) 13:6
Solution:

27. A circular arc makes an angle of 15° at the centre. If the radius of the circular arc is 14 cm, what is the perimeter (correct up to two decimal places) of the sector so formed? (π = 3.14)? [SSC CGL 17/09/2024 (3rd Shift)]

Correct Answer: (d) 31.66 cm
Solution:

28. The perimeter of a rectangular garden is 48 m. If the length is 6 m more than the breadth, the area (in m²) of the garden is: [SSC CGL 18/09/2024 (1st Shift)]

Correct Answer: (a) 135
Solution:

29. If three cubes of volume 512 cm³ each are joined end to end, find the surface area of the resulting cuboid. [SSC CGL 18/09/2024 (1st Shift)]

Correct Answer: (a) 896 cm²
Solution:

30. The radius of the base of a right circular cone is 9 cm and its slant height is 49 cm. Find the curved surface area of the cone. [SSC CGL 18/09/2024 (2nd Shift)]

Correct Answer: (a) 1386 cm²
Solution: