List of top General Aptitude Questions on Mensuration

Four circles of equal radius are drawn with centers, A, B, C and D such that ABCD is a square of side 14 cm and the circles touch externally as in the figure. The area of the shaded region bounded by the 4 circles is: (Take \( \pi = \frac{22}{7} \))
The base diameter of a cylinder is 21 cm and the height is 28 cm, then:
(A) Radius of cylinder = 10.5 cm
(B) Volume = 12936 cm\(^3\)
(C) Curved Surface Area = 1848 cm\(^2\)
(D) Total surface area = 2541 cm\(^2\)
Which of the following is/ are correct?
Choose the correct answer from the options given below:
We have 2 rectangular sheets of paper, M and N, of dimensions 6 cm × 1 cm each. Sheet M is rolled to form an open cylinder by bringing the short edges of the sheet together. Sheet N is cut into equal square patches and assembled to form the largest possible closed cube. Assuming the ends of the cylinder are closed, the ratio of the volume of the cylinder to that of the cube is: