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VTMO 2026 - Grade 7 - Semifinal - SET 4 - Self-study Question 16

VTMO · VTMO 2026 - Grade 7 - Semifinal - SET 4 - Self-study

Question 16

Let $D=\{1,2,3,4,5,6,7\}$. Each operation acts on two numbers: subtract 1 from the first and add 5 to the second. After some operations, the resulting set is
$$D=\{2012,2013,2014,2015,2016,2017,x\}.$$
Which of the following can be the value of $x$?
  1. 2018
  2. 2017
  3. 2019
  4. 2020
  5. 2021