how many integers lie between 1 and 9999 which is divisible by 6 and 9 but not by 17

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how many integers lie between 1 and 9999 which is divisible by 6 and 9 but not by 17

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Answer:Right Answer is: D

Numbers which are divisible by both 6 and 9 means the numbers which are divisible by 18. ∴ The numbers which are multiple of 17 must be subtracted. ∵ There are 32 multiples of 17 up to 554.