GMAT Exam

a man build 1/8th of a wall everyday.Out of the wall built every day 20% falls each day (including last day). In How many days wall be completed.
Explained Please!!!!!

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GMAT Other Question

The eigen values of a matrix A= ⌊■(cos⁡θ&-sin⁡θ@sin⁡θ&cos⁡θ )⌋ A man starts a piece of work. Starting from 2nd day onwards,everyday a new man joins. With every man joining the work that each man can do per day doubles.The work is completed in 5 days.
On which day they would have completed the work if the work each man can do per day remained constant.
Please Explain!!!