KVPY SX SB Exam 2016 Question Paper

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Question : 16 of 120
 
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On the real line R, we define two functions f and g as follows :
f(x) = min{x – [x], 1 – x + [x]}
g(x) = max{x – [x], 1 – x + [x]}
Where [x] denotes the largest integer not exceeding x. The positive integer n for which
01(g(x)f(x))dx=100 is
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