Skip to main content

Puzzle 6:- Water pouring puzzle

 Solution to puzzle 5:

Let us say goat ate x kgs of wheat. 

Horse eats twice as much as goat => horse ate 2x kgs of wheat.

Cow eats twice as much as horse => cow ate 4x kgs of wheat

Total wheat eaten by all 3= 5kgs


Which means

x+2x+4x = 5

7x = 5

x = 5/7


Goat's owner has to get give 5/7 kgs of wheat to the farmer

Horse ate 2x = 10/7 kgs of wheat. So owner of horse must give 1 3/7 kgs of wheat to the farmer.

Cow ate 4x = 20/7 = 2 6/7 kgs of wheat. So owner of cow must give 2 6/7 kgs of wheat to the farmer . 


Puzzle 6: Water pouring puzzle 

You are given two jugs which can hold 5 liters and 3 liters of water. The jugs do not have any markings on them. You also have access to a water tap from which you can pour as much water as you want. How will measure 2 liters of water using only these two jugs?

Popular posts from this blog

Puzzle 15 : All but two

Solution to puzzle 14 Huh, sending more money would have been much easier than this puzzle.      SEND     MORE   MONEY We have to find values for S,E,N,D,M,O,R,Y (8 digits out of 10).  Now, we're adding two 4-digits numbers.  Since 9999+9999 < 20000, M cannot be >=2. And by the "usual rules" for this kind of question, it can't be 0. So M=1 . Now, looking at the fourth (left-most) column, we have either S+1>=10 (if there's no carry) or 1+S+1>=10 (if there's carry). So S=8 or 9 , and O=0 or 1 . Since 1 is already taken, O=0   In the third column, we can't have E+0=N (no carry), so E+1=N and there's carry from the second column.   So in the second column either N+R=10+E=9+N, and R=9, or there's carry and 1+N+R=10+E=9+N, and R=8. So R=8 or 9 , just like S. IF S=8 and R=9,we're looking at 8END + 109E ====== 10NEY But this cannot possibly work: we need to get either E+0=10+N or 1+E+0=10+N i...

Puzzle 47

  Solution: First and last chests have treasure in them. Explanation : Message 1 says that middle chest has treasure. Since all messages are false, middle chest has no treasre. Message 2 says that all these chests have treasure. Which means at least one of them does not have treasure (and has poison). Which is middle chest. Message 3 says that only one of the chests has treasure. As this is false, more than one of the chests have treasure. As middle one has no treasure, the other two - first and last have treasure.

Puzzle 19 : Water, water everywhere

 I know I have been greatly missed all this time. ;) Any ways, let us have some more fun with numbers and logic.  Water, water everywhere   This is an interesting puzzle from the website mathisfun. The cold tap in my bath lets the water in at the rate of 15 litres per minute. The hot tap fills the bath at the rate of 10 liters per minute. The plug hole lets the water out of the bath at the rate of 12 liters per minute. The bath holds a maximum of 520 liters. I turn both taps on, but forget to put the plug in. How many minutes does it take for the bath to overflow? Let me reiterate the statement by the original author here. Don't try this at home. Water is precious. Find the solution here