Question

Given three bowls: 7, 4 and 3 liters capacity. Only the 7-liter capacity is full. Pouring the water the fewest number of times, make the quantities of 2,2 and 3 liters.

Answer 1

okay simple enough. first pour from the 7 liter bowl into the 3 liter bowl till its full. so we have 3 in one and 4 left in the 7 liter bowl. now pour from the same 7 liter bowl into the 2 bowl till that one is full. so now you have 2 left in the 7 liter bowl, and ofcourse 2 in the 2 liter bowl.

Now. Now what??? Its over!! the 7 liter bowl has 2 liters, the 3 liter bowl has 3 liters and the 2 liter bowl has 2 as well. (with the 2 and 3 liter bowls being full).

Enjoy!!

Answer 2

hey @apoorvk there's no 2 liter bowl !!.. when you've poured all 4 liters from the bowl of 7 . into the bowl of 4 liters there's no more water in the bowls 7 liters, but you still have 2 !! how come ? O_O

Answer 3

@apoorvk theres no 2 liter bowl

Answer 4

Sorry sorry.. am sorry!!! I have the new answer.. i misread the question

Answer 5

I have a solution. ..

I'll write the capacity of bowls here.. so the rest that I'll write, it's going to be the ex-change:

bowls are:

7 4 3
with liters are:

7 0 0
4 0 3
4 3 0
1 3 3
1 4 2
5 0 2
5 2 0
2 2 3

that's it !

Answer 6

@cuty_shai2000 am I right? :)

Answer 7

i was going to upload a scan. but kresnik did it already the same way!!! do i need to upload? kudos kresnik.

Answer 8

you have your answer, but lets wait if there's another answer. the fewer number of times

Answer 9

@apoorvk It doesn't matter who UPLOADS it first.. it matters if you know it or not :) ... and yes, upload it :)

Answer 10

okay i am doing it. and i think i "may" have found a shorter way. lets see... :)

Answer 11

ok. LET'S RACE :p

Answer 12

lol i think you're enjoying it :)

Answer 13

no doubt, the Only problem is: I'M struggling finding a shorter solution lol uhauha...

Answer 14

If the 7 liter container was filled with beer, I could do it in 32 moves. lol

Answer 15

I'm out , have to go .. brb

Answer 16

Okay I can't seem to find anything shorter. :( only longer methods :/ lets see.

Answer 17

How about 7 0 0
3 4 0
3 1 3
6 1 0
6 0 1
2 4 1
2 2 3

Answer 18

6 vs 7 it is shorter.

Answer 19

WHY DO I ALWAYS GET LATE AND THE OTHERS DO IT BEFORE ME??

@siddhantsharan genius!!! one step less!

Answer 20

Haha. Trial And Error.
Lets see if it can get Even Shorter.

Answer 21

Apporv- Not too far you were mannn!!
And This May Not be the shortest

Answer 22

Won't be anymore. I seem to have checked out every possible start.

Answer 23

Siddharth, haha I was too far, when I started to type my thing, you had already finished, even though you started later.. kudos man!

Answer 24

*sorry Siddhant!