Solving the Water Division Problem
The objective is to divide a total volume of 21 litres of water into three equal parts, each measuring 7 litres.
The available tools are cans with capacities of 5 litres, 8 litres, and 12 litres.
Key Cans and Calculation
The problem requires measuring exactly 7 litres. A useful relationship using the available cans is:
$12 \text{ L} - 5 \text{ L} = 7 \text{ L}$
This relationship is crucial for finding a way to isolate 7 litres.
Minimum Transfers Analysis
By executing a specific sequence of pouring operations using the 5L, 8L, and 12L cans, it is possible to divide the 21 litres into three separate 7-litre portions. The minimum number of transfers needed to accomplish this task is 7.
This minimum is achieved through a calculated series of pours, effectively measuring and separating the water into the desired equal parts.
Important Questions from Puzzle (Notes)
- Four individuals - P, Q, R and S - are suspects in a theft case. They make the following statements :
P says: "Q is guilty."
Q says: "R is guilty."
R says: "P is innocent."
S says: "I am innocent"
If it is known that exactly one of them is guilty, and only the guilty person lies (all innocent people tell the truth), then who is the guilty one? - In which company, C's interview was scheduled?
- Who went to Nagpur?
- What is the sum of the digits of the number Q?
- What is the sum of A and Q if A is smaller than B?
