Question : On parallel tracks, two trains of equal length are moving at speeds of 46 and 36 kilometres per hour in the same direction. In 36 seconds, the quicker the train overtakes the slower one. The length of each train is:

Question : The length of each side of a rhombus is equal to the length of the side of a square whose diagonal is $40\sqrt2$ cm. If the length of the diagonals of the rhombus is in the ratio $3:4$, then its area ( in cm²) is:

Question : The volume of the largest sphere (in cm³) that can be drawn inside a cube of side 18 cm is:

Question : If the sides of an equilateral triangle are increased by 1 metre, then its area is increased by $\sqrt3$ sq. metre. The length of any of its sides is:

Question : Each side of a cube is decreased by 25%. Find the ratio of the volumes of the original cube and the resulting cube.