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The Water Jug Challenge : Puzzle

You've got a 4 liter jug and a 9 liter jug. 

You've got a pool of water. 

What is the fewest number of steps it takes to come up with exactly 6 liters of water? 

No, you cannot pour some water into the 9 liter jug and then guess. Nor can you fill each jug up half way or something. You have to be exact. A step is defined as putting water into a jug (not emptying). For instance, filling the 4 liter jug and then pouring it into the 9 liter jug is 2 steps.


The Water Jug Challenge : Puzzle


Click here for SOLUTION! 

The Water Jug Challenge Puzzle : Solution


What was the puzzle?

We've got a 4 liter jug and a 9 liter jug. 

We've got a pool of water. 


We have to find fewest number of steps it takes to come up with exactly 6 liters of water. 


STEPS : 

1. Fill up the 9 liter jug from the pool.         9L -4L - 0

2. Fill up the 4 liter jug from the 9 liter jug.
9L -4L - 4

3. Empty the 4 liter jug into the pool.          9L -4L - 0

4. Fill 4 liter jug again from the 9 liter jug.   9L -4L - 4

5. Empty the 4 liter jug into the pool           9L -4L - 0

6. Transfer 1 liter left 9L jug into the 4L.     9L -4L - 1

7. Fill the 9 liter jug from the pool.            
9L -4L - 1

8. Fill up the 4 liter jug from the 9 liter jug.
9L - 6  4L - 4

That's how we have exactly 6 liters of water in 9 liters jug. 

The Water Jug Challenge Puzzle : Solution

A Mathematical Buy!

In a classic wine shop in Flobecq, Belgium, list of three most popular wines are:

- The cost of 1 French wine bottle: 500$
- The cost of 1 German wine bottle: 100$
- The cost of 20 Dutch wine bottles: 100$


Homer Simpson entered the wine shop and he needs to buy


- All three types of wine shop.
- Needs to buy Dutch wine bottles in multiple of 20.
- Need to buy 100 wine bottles


Simpson has only 10000$. How many wine bottle(s) of each type, Simpson must buy? 


A Mathematical Shopping Challenge!

Simpson must buy.......Read More.... 

Source 
 

A Buy To Be Mathematical...


What was needed to buy?

Let's recollect the data where cost of each kind of wine bottle is listed.

- The cost of 1 French wine bottle: 500$
- The cost of 1 German wine bottle: 100$
- The cost of 20 Dutch wine bottles: 100$ (Cost of 1 bottle = 5$)

 

Now let F be the number of French bottle, G be the number of German bottles and D be the number of Dutch bottle that Simpson should buy.

F + G + D = 100

G = 100 - F - D   .....(1)

Total cost of all bottle must be $10000.

500F + 100G + 5D = 10000

Substituting (1) in above,

500F + 100(100 - F - D) + 5D = 10000

500F + 10000 - 100F - 100D + 5D = 10000

400F - 95D = 0

400F = 95D 
 
80F = 19D

D/F = 80/19

Possible values of D and F are 80 and 19 respectively.

From (1),

G = 100 - 19 - 80 =  1.

Let's verify if all these fits in his budget or not.  

19 French wine bottles would cost 19 x 500 = 9500, 1 German wine would cost = 1 x 100 = 100 and 80 Dutch wine bottles would cost 80 x 5 = 400. Remember we have got number of Dutch bottles in multiple of 20. Hence total cost = 9500 + 100 + 400 = 10000.

Hence with $10000, Simpson should buy 19 French, 1 German and 80 Dutch wine bottles if conditions of buying 100 bottles & Dutch bottles in multiple of 20 are applied.   

A mathematical challenge accepted

 

Solve this Murder case (challenge)

Solve this Murder case (challenge)..

Near Mumbai

A man was found murdered on 9-11-2016 Wednesday afternoon at 12.35 PM in his house...... His wife called police at 3:23 PM.

Police questioned everyone..

Wife: I was sleeping..

Son: I went for movies with my gf

Neighbor: We went for the marriage..

Driver: I went to ATM withdraw cash..

Cook: I went to Wine shop to buy Wine..

Gardener: I was in garden the whole time. I didn't hear anything.
.
Watch Man: I went to my relative's Marriage..


Catch the Murderer

Police arrested the murderer immediately..
Who was it? 

Find who was that here! 

Murder Mystery Investigation


But what was the case? 

Driver was the murderer!

He must be lying as ATMs were closed on 9-11-2016 after note demonetization in India.


Murderer in the murder case
 
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