self Maths Puzzle

After striking the floor, a ball rebounds to 4/5th of the height from which it fell. Find the total distance it travels before coming to rest if it is dropped from a height of 100 metres.

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self Other Question

Consider the following series: 13, 20, 27, 34, ....... 370, 377. How many pairs of two distinct numbers can be formed such that the sum of each pair is equal to 390?
a, b, c are three distinct real numbers in G.P. If a + b + c = xb, then find the range x may take