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Answer :
Final answer:
The time with the greatest sum of digits on a 12-hour digital watch among the given options is 9:45, with a sum of 18.
Explanation:
The question is asking us to find the time on a 12-hour digital watch when the sum of the digits that represent the hours and minutes is the greatest. We can calculate this by adding up the digits of the hours and minutes for each given time option.
- For option (a) 11:59, the sum is 1+1+5+9 = 16.
- For option (b) 9:45, the sum is 9+4+5 = 18.
- For option (c) 12:29, the sum is 1+2+2+9 = 14.
- For option (d) 10:49, the sum is 1+0+4+9 = 14.
Thus, the time with the greatest sum of its digits is 9:45, which gives us a sum of 18.
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