Steve is taking a bus to Central Park. Steve tells Alice the hour of his bus departure and he tells Annie at which minute it leaves. He also tells them both that the bus leaves between 0600 and 1000.
Alice & Annie consult the timetable and find the following services between those two time: 0632 0643 0650 0717 0746 0819 0832 0917 0919 0950.
Alice then says “I don’t know when Steve’s bus leaves but I am sure that neither does Annie”
Annie Replies “I didn’t know his bus, but now i do”
Alice responds “Now I do as well!”
When is Steve’s bus?
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Answers
When Alice says -
“I don’t know when Steve’s bus leaves but neither does Annie”;
we know that she has only been informed about the hour of departure (either 0600/0700/0800/0900 hrs). Henceforth, it is difficult for Alice to tell the time without knowing the minute. Besides, Alice says she "is sure" that Annie does not know about the exact time too. So, we can infer that -
1. The minute cannot be unique digits, like the ones in 0643 and 0746.
2. If Annie had been given a unique digit, such as 43 or 46, then Alice would have easily identified the timing between 0600 or 0700 hours. Hence, we eliminate all 0600 and 0700 timings.
This leaves us with the 0800 and 0900 hour buses - 0819, 0832, 0917, 0919, 0950
Annie had said, "I didn't know his bus, but now I do!"
Basing our assumptions on Annie's response, we remove 0819 & 0919 from the set. Or else, Annie would not have been able to identify the correct bus timing. So, it narrows down to the following timings -
0832, 0917, 0950
Alice's following response - "Now I do as well!" - provides us the final point; the unique hour in this lot is the time of departure of Steve's bus. That is, 0832.
Ans) Steve's bus leaves at 0832 hrs
A similar solution is available here -
brainly.in/question/16496302
https://brainly.in/question/16464719