Budding Buds Sr Sec School

Summer Assignment

Class X ::Subject (Mathematics)


1)     How can you measure out exactly 4 litres of water from a tap using a 3 litre and a 5 litrebucket? 

2)     One of 27 otherwise identical balls is overweight. How can it be identified after 3 weighings with an old balance? 

3)     2 men and 2 boys need to cross a river in boat big enough for 1 man or 2 boys. How do they do it? 

4)     30 passengers are in a sinking ship. They all stand in a circle. Every 9th passenger goes overboard. The lifeboat holds 15. Where are the 15 lucky positions in the circle? 

5)     Divide $1033 (in whole $ increments) into a number of bags so that I can ask for any amount between $1 and $1033, and you can give me the proper amount by giving me a certain number of these bags without opening them. What is the minimum number of bags you will require?