Cigarette Question

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srikant's picture
User offline. Last seen 3 years 38 weeks ago. Offline
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Points: 1373

Today I had too many cigarettes and while taking the puffs one math question came to my mind

If a man's Life expectancy decreases by 0.001% with every cigarette then at what age the man 'll die if he starts smoking at the age of 20 and takes 10 cigarette per day? (Approx. age = you can consider the man to be dead when 99% Life expectancy is gone)

or the man 'll never die

kaps_gunner83's picture
User offline. Last seen 4 years 18 weeks ago. Offline
Joined: 2007-05-25
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this is like compound interest .

this is like compound interest...

3.65 % u die every year .. wat abt leap year? then it becoms 3.66%

so the formula becomes

.01 = (1 - 3.65/100) ^ n.... i am not considering Leap year

and we have to find n .....

.01 = .9635 ^ n

n is between 120 and 125 ... so the man will die when he becomes 140 to 145.
So that tells us that we should have 10 cigs a day!!!!!!!!!!!!
life expectancy is 55 considering an engg student in mumbai it gets reduced to 50 so u get to live loooooooooong :)

Jokes apart Sri pls dont even think abt going that faar....

Tell me if I goofed up the stuff??

regards

deepakraam's picture
User offline. Last seen 2 years 2 weeks ago. Offline
Joined: 2007-06-22
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Cigarrate Question

Hi,
Here s my Ans

for 1 cig/day---0.01% decreases
for 100 days ---1% decreases
for 9900 days--99% decrease.( the man dies at this point).

So 9900 days approx to 27.12 yrs.

So the man dies at the age of 47 itself.

Did I make a mistake?

-Deepak.

srikant's picture
User offline. Last seen 3 years 38 weeks ago. Offline
Joined: 2006-06-08
Points: 1373
Its wrong

Its wrong
first of all in the question its given 10 cig/day
Then you cant write some thing like

for 1 cig/day---0.01% decreases
for 100 days ---1% decreases

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