From a bamboo, a piece of bamboo is cut off. It is found that the ratio of the two pieces is `3 :1 `. From the table below, find the possible lengths of two pieces and the length of the bamboo.

If the ratio of the length and breadth of a rectangle is 5:3 , find the possible length and breadth of rectangles.

frac(1)(3) rd part of the length of a bamboo is coloured red, and frac(1)(5) th part of it is coloured green and the remaining 14m length is coloured yellow. Let's find the length of the bamboo.

A wire of length 28 m is to be cut into two pieces . One of the pieces is to be made into a square and the other into a circle . What should be the lengths of the two pieces so the two pieces so that the combined area of the circle and the square is minimum.

A wire of length 36 cm is cut into two pieces . One of the pieces will be bent into the shape of a square and the other into the shape of an equilateral triangle . Find the length of each piece so that the sum of the areas of the square and triangle is minimum.

From 16frac(2)(3) m long ribbon, 3/8 part is cut off. If it is further divided into 5 equal pieces, lets find the length of each pieces.

Hydra cut into two pieces will result in

The numbers 2,3,4,5 and 6 written on five pieces of paper. Theses pieces of paper are put in a bag and then mixed thoroughly. A man draws at random two pieces of paper from the bag one after the other without replacement. Describe the following events associated with this random experiment : A : the number on the first piece is less than the one on the second piece, B: the sum of the numbers on the two pieces is 8 or 9 , C: the number on the first piece is odd and D: the number on the second piece is greater than 4. Is there any pair of events which are mutually exclusive?

From a string of length 12.5 cm, Mira cuts off 8.5 cm. Let’s find, what portion of string is left

The shadows of two sticks of length 6 cm. and 8 cm. are 15 cm. and 20 cm. respectively. Find of the ratios of the lengths of sticks and their length of shadows are equal or not.

A 1.5 m long chain of mass 0.8 kg is kept on a horizontal table and a part of its length hangs from the edge of the table. When the length of the hanging part is one- third the total length of the chain, it starts sliding off the table. What will be the work done by friction when the whole length of the chain slides off the table ?