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Owl wrote all the whole numbers from 1 to 10 000 on a blackboard
Owl wrote all the whole numbers from 1 to 10 000 on a blackboard. After that he erased the numbers which are neither divisible by 5 nor by 11. What was the 2004th term of the remaining sequence? A 1000 B 5000 C 6545 D 7348
Expert Solution
The series that we will be left with will be divisible by 5 and 11 only.
The series will be as follows: 5, 10, 11, 15, 20, 22, 25, 30, 33, 35, 40, 44, 45, 50, 55, 60, 65, 66,...
So we notice that every term which is multiple of 3 is divisible by 11. Like 3rd term is 11, 6th term is 22, 9th term is 33 and so on...
Now 2004 is a multiple of 3. So the 2004th term will be divisible by 11 and thus that term will be (2004/3)*11 = 7348.
Therefore, 7348 (option D) is the correct answer.
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