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SASMO 2016 Secondary 4 (Grade 10) Contest Question 2

SASMO · SASMO 2016 Secondary 4 (Grade 10) Contest

Question 2

The numbers 1, 2,3,4,...,2015,2016 were written on a whiteboard. Tom chose
any two numbers a and b, erased them and then writes down their product ab.
He continued the same process until one number is left on the whiteboard. What
was the last digit of this number?

Question illustration
  1. 0
  2. . 2
  3. 4
  4. 6
  5. 8