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In two equilateral parallelograms, X and Y, the sum of the lengths of the diagonals of X is equal to the sum of the lengths of the diagonals of Y. In X, the length of the longer diagonal is 20 more than the length of the shorter diagonal. In Y, the length of the longer diagonal is 8 more than the length of the shorter diagonal. What is the area of Y minus the area of X?
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1, 2, 2, 3, 3, 3, 4, 4, 4, 4, ......, 24
The list above consists of 300 entries that are integers in increasing order, and each integer n occurs n times for 1 ≤ n ≤ 24. What is the least integer k in the list for which at least 15% of all the entries are less than k?
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