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SOLVE this riddle

 
 
deepakm
 
Reply Tue 14 Feb, 2017 10:57 am
You are in a room with 3 identical Digital Scales (ones you see in small stores). There is a Read button on all of them to read the weight. The display resets to zero in 2 seconds
One scale Say A, reads the weight accurately.
Scale B reads the weight exactly 1 kg more
Scale C reads 1 Kg less
You dont know which one is which
All weights are read in full Kg numbers and no fractions. There is a big book in the room. You cannot stand on these scales
How will you find out which scale is which( accurate, reads plus and reads minus) by only 2 readings. Remember you need to push the read button to get
the reading.
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dragonis
 
  0  
Reply Thu 16 Feb, 2017 07:49 pm
@deepakm,
push them together put the book on top of them all at once and turn them on either at the same time or one at a time the readings will be different telling you which is which
Krumple
 
  1  
Reply Thu 16 Feb, 2017 08:00 pm
@dragonis,
dragonis wrote:

push them together put the book on top of them all at once and turn them on either at the same time or one at a time the readings will be different telling you which is which


No it's more simple.

You test only two and record the result,

A & B = 1 kg difference B is more than A.
B & C = 2 kg difference you now know A.
A & C = 1 kg difference C is less than A.

You can determine which scale is A simply by selecting two scales at random and seeing what their results are then compare.

Scale A will always be less or more than another scale.

If you happen to select B and C itll have a difference of 2kg so you immediately know which is scale A. You don't even need to test A, you already know which is A.

Testing B & C is 100% success.
Testing A & B or A & C have 33% chance failure.
dragonis
 
  -1  
Reply Thu 16 Feb, 2017 08:08 pm
@Krumple,
but that would take longer
Krumple
 
  1  
Reply Thu 16 Feb, 2017 08:25 pm
@dragonis,
dragonis wrote:

but that would take longer


You are only testing two how would testing two take longer?

You realize placing the book evenly over all three would throw off the weight since the other two scales would take some if it's weight.
dragonis
 
  -1  
Reply Thu 16 Feb, 2017 09:05 pm
@Krumple,
placing the book evenly wouldnt throw off the weight as you clearly stated all 3 scales are identical so putting them together would just create a larger scale so the results would be the same as weighing them individually
Krumple
 
  2  
Reply Thu 16 Feb, 2017 09:27 pm
@dragonis,
dragonis wrote:

placing the book evenly wouldnt throw off the weight as you clearly stated all 3 scales are identical so putting them together would just create a larger scale so the results would be the same as weighing them individually


I am 100% positive it would throw off the weight putting them together.
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