Question
If in the number '8769275346’ 1 is subtracted from all the odd numbers and 1 is added to all the even numbers then all the digits in the new number thus formed are arranged in descending order from right to left then what is the product of first three numbers from left end?
Solution
8Â Â Â Â Â Â Â Â Â 7Â Â Â Â Â Â Â Â Â 6Â Â Â Â Â Â Â Â Â 9Â Â Â Â Â Â Â Â Â 2Â Â Â Â Â Â Â Â Â 7Â 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 4Â Â Â Â Â Â Â Â Â 6 9Â Â Â Â Â Â Â Â Â 6Â Â Â Â Â Â Â Â Â 7Â Â Â Â Â Â Â Â Â 8Â 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 4Â Â Â Â Â Â Â Â Â 2Â Â Â Â Â Â Â Â Â 5Â Â Â Â Â Â Â Â Â 7 2Â 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 5Â 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 7Â Â Â Â Â Â Â Â Â 7Â Â Â Â Â Â Â Â Â 8Â Â Â Â Â Â Â Â Â 9Â Â Â Â Â Â Â Â Â The first three numbers from left end are '2', '3' and '4'. So, product = (2 X 3 X 4) = 24.
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