In the given figure, ABC is a right angled M triangle in which B is right angle. Three semi-circles are drawn on diameter AB, BC and CA. The area of traingle ABC is 37 sq. unit, then the area of shaded portion is -

Some small spheres of radius 1.4 cm are dropped in a cylindrical vessel which contains some water. There small spheres are fully immersed in water. If the radius of the vessel be 28 cm and water rises by 3.5 cm, then how many small spheres were dropped into the vessel ?

From each of the two given numbers, one third of smaller is subtracted. After such subtraction, the larger number is 6 times the smaller number. What is the ratio of the numbers?