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ITMC 2019 Grade 6 National Preliminary set01 Question 22

ITMC · ITMC 2019 Grade 6 National Preliminary set01

Question 22

A teacher writes 1 to 12 on a board. Student 1 erases 1; student 2 erases 2 and 3; student 3 erases 4,5,6; student 4 erases 7,8,9,10; student 5 erases the remaining 11 and 12. Now suppose the teacher writes 1 to 2019 and the students erase numbers by the same successive-block process. Which student erases the last numbers, and how many does that student erase?
  1. 61st student; 12 numbers
  2. 63rd student; 1 number
  3. 64th student; 3 numbers
  4. 65th student; 6 numbers
  5. 66th student; 7 numbers