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CAT 2019 Shift 1 Paper

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Question : 68 of 100
 
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Consider a function f satisfying f(x + y) = f(x) f(y) where x, y are positive integers, and f(1) = 2. If f(a + 1) + f(a + 2) + ....+f(a + n) = 16(2n−1) then a is equal to
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