Book Maths Puzzle Numerical Ability

If

(x^2) + (y^2) = z^3 ;

(x^3) + (y^3) = p^2 ;

where x, y, z, p are whole no. ( W )

Find any possible value of x , y , z ,p that satisfy the above two equations.


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Book Other Question

grandpa is writing a book. every morning he starts writing vigorously and fills a lot of pages. but post lunch he goes through all that he's written that far(right from day one) and deletes 1/5th of it. he doesn't write anything more that day. At the end of the day the content of his book is still 20% more than at the end of the previous day. how much percent new content does grandpa write in the morning? 1^12 + 2^13 +3^12+ 4^13 +5^12 upto 60^13 is divisible by 60,61,63,65
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