A boat running upstream takes ^@ 5{\space} hours^@ ^@32{\space} minutes^@ to cover a certain distance, while it takes ^@4{\space} hours^@ to cover the same distance in running downstream. What is the ratio between the speed of the boat and the speed of stream?
At present, Anisa's age (in years) is 21 more than the square of her daughter Amani's age. When Amani grows to her mother's present age, Anisa's age would be 2 year less than 18 times the present age of Amani. Find the present ages of both Anisa and Amani.
Two concentric circles are of radii ^@ 8 \space cm ^@ and ^@ r \space cm ^@ ^@ ( r > 8 ) ^@.A chord of the larger circle of length ^@ 57 \space cm ^@, touches the smaller circle. What is the value of ^@ r ^@ ?
The given figure is a sector of a circle of radius ^@ 6.3 \space cm ^@. Find the perimeter of the sector. ^@\bigg(^@Take ^@ \pi = \dfrac { 22 }{ 7 }\bigg)^@
There is a right cylindrical vessel of radius 3 cm and height 16 cm which is full of ice-cream. This ice-cream needs to be filled in cones of height 10 cm and radius 3 cm having a hemispherical shape on the top. How many such cones can be filled with ice-cream?
A survey of ^@ 600 ^@ boys of a school was conducted and it was found that ^@180^@ boys like soft drinks while ^@420^@ dislike it. Out of these boys, one boy is selected at random.
What is the probability that the selected boy does not like soft drinks?
A decorative block shown in the figure is made of two solids_a cube and a hemisphere. The base of the block is the cube with edge of 5.1 cm and the hemisphere attached on the top has a diameter of 4.4 cm. If the block to be painted, then the total area to be painted is:
In this diagram, the triangle represents men, the square represents inspectors and the circle represents sports persons. Find the number of men who are sports persons but not inspectors.