Quantitative Interview questions and answers

Posted by Millennium Hedge fund ($62 Billions AUM). Please show all work.

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Posted by Millennium Hedge fund ($62 Billions AUM). Please show all work.

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Is the answer 3^2025?

Sol :
T = 3 * (3^2024 1's) = 3 * ( (3^2023 1's) * (100...0|10...0|10....0) , here the last num has only 3 1's. So its only divisible by 3 but not 9.We can just replace entire thing by just 3.

T = 3 * (3^2023 1's) * 3= 3^2 * (3^2023 1's), reduce this exp in a similar fashion 2023 times more to get 3^2025.
 
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