Q: A cask of 20 litres is filled with beer. A beer vendor has only two measuring vessels of 3 litres and 5 litres without any calibration. He has to measure four litres of beer for a customer without using any other vessel. Minimum how many operations are required for this work, where an operation is counted if the beer is transfered from one vessel to another vessel.
a) 5
b) 6
c) 8
d) 11
e) 14
Word Problem
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Hi,
Is filling a vessel from Cask and transferring beer from vessel to Cask counted as operations?
If so, Let the 3 litre vessel be A and 5 litre vessel be B
Step-1: Fill B to the brim.
Step-2: Transfer beer from B to A(to the brim).
Step-3: Transfer beer from A to cask
Step-4: Transfer B to A...A now has 2 litres.
Step-5: Fill B to the brim
Step-6: Transfer beer from B to A(to the brim). So, B now has 5-1 = 4litres.
I am not very clear which of these transfers are considered operations.
Is filling a vessel from Cask and transferring beer from vessel to Cask counted as operations?
If so, Let the 3 litre vessel be A and 5 litre vessel be B
Step-1: Fill B to the brim.
Step-2: Transfer beer from B to A(to the brim).
Step-3: Transfer beer from A to cask
Step-4: Transfer B to A...A now has 2 litres.
Step-5: Fill B to the brim
Step-6: Transfer beer from B to A(to the brim). So, B now has 5-1 = 4litres.
I am not very clear which of these transfers are considered operations.
Last edited by Frankenstein on Fri Aug 26, 2011 5:50 am, edited 3 times in total.
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- akhilsuhag
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1. Fill the 5 litres jug.
2. Fill the 3 litre jug using this 5 litre; the 5 litre now has 2 litres left. Give this to the customer.
3. Empty both jugs.
4. Fill 5 litre again.
5. Fill the 3 litre jug using this 5 litre; the 5 litre now has 2 litres left. Give this to the customer. This makes it 4 litres
So 5 steps .... A
2. Fill the 3 litre jug using this 5 litre; the 5 litre now has 2 litres left. Give this to the customer.
3. Empty both jugs.
4. Fill 5 litre again.
5. Fill the 3 litre jug using this 5 litre; the 5 litre now has 2 litres left. Give this to the customer. This makes it 4 litres
So 5 steps .... A
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Yes, filling a vessel from cask and vice versa each counts as operations. OA[spoiler]c) 8[/spoiler]Frankenstein wrote:Hi,
Is filling a vessel from Cask and transferring beer from vessel to Cask counted as operations?
800. Arjun's-Bird-Eye
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First, we have to get a measure of 4 litres so giving in between to customer will not count as getting a measure of 4 litres.Therefore we cannot give in between. Next your step 3-- empty both jugs will count as two steps.akhilsuhag wrote:1. Fill the 5 litres jug.
2. Fill the 3 litre jug using this 5 litre; the 5 litre now has 2 litres left. Give this to the customer.
3. Empty both jugs.
4. Fill 5 litre again.
5. Fill the 3 litre jug using this 5 litre; the 5 litre now has 2 litres left. Give this to the customer. This makes it 4 litres
So 5 steps .... A
800. Arjun's-Bird-Eye
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Okay... But I am getting answer 6 and the OA is 8?Aman verma wrote:Yes, filling a vessel from cask and vice versa each counts as operations. OA[spoiler]c) 8[/spoiler]Frankenstein wrote:Hi,
Is filling a vessel from Cask and transferring beer from vessel to Cask counted as operations?
Cheers!
Things are not what they appear to be... nor are they otherwise
Things are not what they appear to be... nor are they otherwise