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SMO 2020 Senior Round 1 Question 4

SMO · SMO 2020 Senior Round 1

Question 4

Let $a=50^{1/505}$, $b=10^{1/303}$ and $c=6^{1/202}$. Which of the following is true?
  1. $a\lt b\lt c$
  2. $a\lt c\lt b$
  3. $b\lt a\lt c$
  4. $b\lt c\lt a$
  5. $c\lt b\lt a$