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Question

Find the number of 4 digit numbers which are divisible by 11 or 13 but not by 17?

A
1133
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B
1363
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C
1455
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D
1463
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E
1123
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Solution

The correct option is B 1363

Following are the steps while calculating the answer

4 digit numbers divisible by 11=899911=819, 4 digit numbers divisible by 13=899913=692 or 693

Number of integers common to 11 and 13 (as questionis 11 or 13) =8999(13×11)=62 or 63

To subtract numbers which are common to 11&17;13&17;11,13&17

11&17=8999(11×17)=47 or 48 terms

13&17=8999(13×17)=40 or 41

11,13,17=8999(11×13×17)=3 or 4 terms

Total ( you can approximate as the answers are far apart)= 819+693-63-48-41+4= 1364

Closest answer is option (2)


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