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Which of the following numbers will always divide a six-digit number of the form xyxyxy
(where 1 < x < 9, 1 < y < 9)?
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- 1010
- 10101
- 11011
- 11010
Correct Option: B
Number = xy xy xy
We can write the number as below.
= xy × 10000 + xy × 100 + xy
= xy (10000 + 100 + 1)
= xy × 10101
Hence required answer is 10101 .
