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On an average, there are 1,50,000 hairs on a man's head. It

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CEO
Joined: 15 Aug 2003
Posts: 3454
On an average, there are 1,50,000 hairs on a man's head. It [#permalink]

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15 Sep 2003, 23:39
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On an average, there are 1,50,000 hairs on a man's head. It has
been calculated that a man sheds 3000 hairs a month. What is the
average longevity of each hair on a man's head?
Intern
Joined: 17 Sep 2003
Posts: 21
Location: GMAT Maze, Chaos.

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18 Sep 2003, 07:38
The same qn was posted in yahoogroups, and here is what one of the posters replied. I m just doing cut n paste ..

lets first simplify it

lets say that there are 12 units of something, and 4 are gone every month.

4 will last 1 month
4 will last 2 month
4 will last 3 month

so the average age would be 2 (mean/median of 1,2,3).

if there were 16 units and 4 are gone every month, then the average age would
be mean/median of (1,2,3,4) = 2.5.

generalizing it: if there are n months when there are no units left.
ans would be: n/2 + 0.5

So for this problem , n is (150,000 / 3000) = 50. So each hair would last 50/2 + 0.5 = 25.5 months.
Intern
Joined: 16 Jul 2003
Posts: 32

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20 Sep 2003, 10:23
Quote:
generalizing it: if there are n months when there are no units left.
ans would be: n/2 + 0.5

So for this problem , n is (150,000 / 3000) = 50. So each hair would last 50/2 + 0.5 = 25.5 months.

Approach looks good to me.
Senior Manager
Joined: 22 Aug 2003
Posts: 257
Location: Bangalore

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21 Sep 2003, 09:15
i dont get it.
How are u calculating average as (mean/median 1,2,3)
I mean what is the logic behind it ?
-vicks
21 Sep 2003, 09:15
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