self Maths Puzzle Numerical Ability

The number has exactly three prime nos. 125 factors of this no. are perfect squares and 27 factors of this no. are perfect cubes. what is the minimum no. of factors possible for the number?

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self Other Question
A ball is thrown vertically upwards to a height of 50 meter. After striking the ground it rebounds 3 by 5th of the height to which it rose first and so on for every rebound. What is the total distance traveled by the ball before it comes to rest? Sekhar distributed certain amount to Pernia, Qureshi and Rehman in the ratio 3:3:4 respectively. Pernia, Qureshi and Rehman distributed the amount they received to Ayan and Bijoy in the ratio 1:2, 1:2, 1:4 respectively. If the amount Bijoy received from Rehman is Rs.320, how much amount did Ayan get from Pernia?