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Number Theory
Level
3
1) \(\frac { e }{ \pi } \) is a rational number.
2) \(\frac { \pi }{ e } \) is an irrational number.
3) \(\frac { \pi+e }{ e } \) is a rational number.
Give your answer as the mean of the serial numbers of the statements which are true.
(E.g., if all statements are true, the answer is \(\frac { 1+2+3 }{ 3 } =2.\))
Details and Assumptions:
- \(e\) may not necessarily be the exponential constant and \(\pi \) may not necessarily be equal to 3.14159....
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Archit Boobna