5. xy is a number that is divided by ab where xy < ab
and gives a result 0. xyxy......., then ab equals
(a) 11
(b) 33
(c) 99
(d) 66
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Answer:
hope this will help you
Step-by-step explanation:
The sequence 0.xyxyxyxy... can be written as:
(xy÷100)+(xy÷10000)+(xy÷1000000)+...
=(xy÷100)×(1+1÷100+1÷10000+....) [The second part is a geometric series with ratio 1/100]
=(xy÷100)×1÷(1−1÷100)
=xy÷99
as xy÷ab=0.xyxyxyxy...=xy÷99
ab is 99
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