AMO · 2027 · Grades 4-5 · Self-study SET 30 Question 6

Tom’s PIN is a five-digit number with all digits different. The thousands digit is twice the ten-thousands digit; the hundreds digit is 50% more than the thousands digit; the tens digit is 1 more than the ten-thousands digit; and the ones digit is 2 more than the tens digit. What is Tom’s PIN divided by 65?

Choose one option.