Question
If in the number '6734414234', 2 is added to all the odd place digits and 1 is subtracted from the even place digits (from the left end) and then all the digits are arranged in descending order. Which is the sixth digit from the left end after rearrangement?
Solution
6Â Â Â Â Â Â Â Â Â 7Â Â Â Â Â Â Â Â Â 3Â Â Â Â Â Â Â Â Â 4Â Â Â Â Â Â Â Â Â 4Â Â Â Â Â Â Â Â Â 1Â Â Â Â Â Â Â Â Â 4Â Â Â Â Â Â Â Â Â 2Â Â Â Â Â Â Â Â Â 3Â Â Â Â Â Â Â Â Â 4 8Â Â Â Â Â Â Â Â Â 6Â Â Â Â Â Â Â Â Â 5Â Â Â Â Â Â Â Â Â 3Â Â Â Â Â Â Â Â Â 6Â Â Â Â Â Â Â Â Â 0Â Â Â Â Â Â Â Â Â 6Â Â Â Â Â Â Â Â Â 1Â Â Â Â Â Â Â Â Â 5Â Â Â Â Â Â Â Â Â 3Â Â Â Â Â Â Â Â Â After arranging the number in descending order, we get: 8Â Â Â Â Â Â Â Â Â 6Â Â Â Â Â Â Â Â Â 6Â Â Â Â Â Â Â Â Â 6Â Â Â Â Â Â Â Â Â 5Â Â Â Â Â Â Â Â Â 5Â Â Â Â Â Â Â Â Â 3Â Â Â Â Â Â Â Â Â 3Â Â Â Â Â Â Â Â Â 1Â Â Â Â Â Â Â Â Â 9 So, the sixth digit from the left end is: 5.
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