Question
Find the number of 4 digit numbers which are divisible by 11 or 13 but not by 17?
Answer: Option B
:
B
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)
Was this answer helpful ?
:
B
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)
Was this answer helpful ?
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