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Monthly Archives for May, 2013

If you pass a person in 2nd place

Posted on: May 5th, 2013 by
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If you were running a race and you passed the person in 2nd place, what place would you be in now? via Forbes

Special sequence

Posted on: May 4th, 2013 by

What is special about the following sequence of numbers? 8 5 4 9 1 7 6 10 3 2 0 via Brain teasers and answers

Fill in the blanks

Posted on: May 3rd, 2013 by
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The number of 1's in this paragraph is ___. The number of 2's in this paragraph is ___. ..... The number of N's in this paragraph is ___. Every blank contains exactly 1 number. For example you are not allowed to fill "The number of 1's in this paragraph is not 1." You can choose N. Find all possible solutions (show that there are only finitely Continue reading the story "Fill in the blanks"

Biasing a die

Posted on: May 2nd, 2013 by
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You want to bias a die (adjust the probability of the numbers 1,2,3,4,5,6) such that when you roll the die twice, the sum of the 2 rolls is equally likely to be any of 2,3,4,...12. How will you do it? via ST Aditya.

Limit of a sequence

Posted on: May 1st, 2013 by
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Let \{a_n\} be any sequence of positive real numbers. Show that

\limsup_{n\rightarrow\infty}\left(\frac{1+a_{n+1}}{a_n}\right)^n\geq e

via ST Aditya

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