Question

You have in front of you fifty diamonds. They all look exactly alike except one of them is a fake. Because it's a fake, it weighs a couple of grams more than a real diamond (these must be really big diamonds!). You have a balance scale and can put one or more diamonds on each side to determine which side is heavier. What is least number of weighings you can make to find the fake (heavy) diamond? Hint: you could put 25 diamonds on each side and find which batch of 25 included the heavy fake and then work from there. Better hint: This is not the best way to start.

Name: you have in front of you fifty diamonds they all look exactly alike except one of them is a fake because its a fake it weighs a couple of grams more than a real diamond these must be really 61222
Uploaded: 2022-03-17T20:50:38-08:00
Duration: 3 min 59 s
Channel: Satyam Gupta
Description: you have in front of you fifty diamonds they all look exactly alike except one of them is a fake because its a fake it weighs a couple of grams more than a real diamond these must be really 61222

          You have in front of you fifty diamonds. They all look exactly alike except one of them is a fake. Because it's a fake, it weighs a couple of grams more than a real diamond (these must be really big diamonds!). You have a balance scale and can put one or more diamonds on each side to determine which side is heavier. What is least number of weighings you can make to find the fake (heavy) diamond?
Hint: you could put 25 diamonds on each side and find which batch of 25 included the heavy fake and then work from there. Better hint: This is not the best way to start.

Added by Kendra M.

Computer Science and Information Technology

Trishna Knowledge Systems 2018 Edition

Instant Answer

Solved by Expert Satyam Gupta

03/17/2022

Step 1

Step 1: Divide the 50 diamonds into three groups: 17 diamonds in the first group, 17 diamonds in the second group, and 16 diamonds in the third group. Show more…

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You have in front of you fifty diamonds. They all look exactly alike except one of them is a fake. Because it's a fake, it weighs a couple of grams more than a real diamond (these must be really big diamonds!). You have a balance scale and can put one or more diamonds on each side to determine which side is heavier. What is least number of weighings you can make to find the fake (heavy) diamond? Hint: you could put 25 diamonds on each side and find which batch of 25 included the heavy fake and then work from there. Better hint: This is not the best way to start.