GRE Exam Numerical Ability Number System

n and p are integers greater than 1
5n is the square of a number
75np is the cube of a number.
The smallest value for n + p is

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GRE Other Question

After being dropped a certain ball always bounces back to 2/5 of the height of its previous bounce. After the first bounce it reaches a height of 125 inches. How high (in inches) will it reach after its fourth bounce? A cubical block of metal weighs 1000 gm. How much will another cube of the same metal weigh if its sides are 1.5 times as long ?