Kim finds a 1-meter tree branch and marks it off in thirds and fifths. She then breaks the branch along all the markings and removes one piece of every distinct length. What fraction of the original branch remains
Is there any fastest way to solve it in less than 2 mins
Breaking Branches
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Let the branch be 15 m long, LCM of 3 and 5. It would be marked every 1/5th and every 1/3rd (or) at every multiples of 3 and 5. So the marking would be at
3
5
6
9
10
12
15
The possible distinct lengths are 3,2 and 1 (or) 6 metres will be removed and 9/15 = 3/5 will remain.
Since its only a fraction, 1 meter or 15 meters, the fraction is the same
3
5
6
9
10
12
15
The possible distinct lengths are 3,2 and 1 (or) 6 metres will be removed and 9/15 = 3/5 will remain.
Since its only a fraction, 1 meter or 15 meters, the fraction is the same
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But they ask for what fraction of original remains?
You remove '6', you have 15-6 = 9 parts left. Whats the answer BTW? 6/15?
You remove '6', you have 15-6 = 9 parts left. Whats the answer BTW? 6/15?
DonPaw wrote:Thanks Ashwin,
Specially I liked the approach of making it 15 m long. However, the answer is not 3/5.
it picked out unique branches and left out common. We need to find the total leftovers.
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I posted a solution here:DonPaw wrote:Kim finds a 1-meter tree branch and marks it off in thirds and fifths. She then breaks the branch along all the markings and removes one piece of every distinct length. What fraction of the original branch remains
Is there any fastest way to solve it in less than 2 mins
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I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
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