Q.

Number of 4-digit numbers that are less than or equal to 2800 and either divisible by 3 or by 11, is equal to ____.

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answer is 710.

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Detailed Solution

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4 digit numbers less than 2800 and
(i) Divisible by 3 ={1002,1005,..,2799}600
(ii) Divisible by 11 ={1001,1012,.,2794}164
(iii) Divisible by 33 ={1023,1056,.,2772}54
 Required number of numbers=600+16454=710

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