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KVPY SX SB Exam 2016 Question Paper

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Question : 16

Total: 120

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

(g(x)−f(x))dx=100 is

100
198
200
202

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