Anil is taking a bus to Pune. Anil tells Ali the hour of his bus departure and he tells Alice at which minute it leaves. He also tells them both that the bus leaves between 0600 and 1000.
Ali & Alice consult the timetable and find the following services between those two time: 0632 0643 0650 0717 0746 0819 0832 0917 0919 0950.
Ali then says "I don’t know when Anil’s bus leaves but I am sure that neither does Alice"
Alice replies "I didn’t know his bus, but now I do"
Ali responds "Now I do as well!"
When is Anil’s bus?
Answers
Anil 's Bus is at 8 :32
Step-by-step explanation:
Bus timings :
06 : 32
06 : 43
06 : 50
07 : 17
07 : 46
08 : 19
08 : 32
09: 17
09: 19
09:50
Ali Do not know bus time because each hour has more than 1 timing
but Ali says Alice also does not know
if it was 6 hr then at 43 minutes Alice would have known that 6 : 43 is the bus time
hence hr is not 6
if it was 7 hr then at 46 minutes alice would know that its 7 : 46
hence hr is not 7
if it was 8 hr then Alice could not know exact time as 19 & 32 minutes are available in different hrs
so hr can be 8
if it was 9 hr , Alice could not know exact time as 17 , 19 & 50 minutes are available in different hrs
So hr can be 9 also
now alice knows hr is 8 or 9
19 is common in both so minute can not be 19
so bus timing can be 8 : 32 or 9:17 or 9 : 50
but now Ali say he also knows the bus timing
hence it must be 8 : 32 ( as in case of 9 hr there are two options so Ali would not have known exact timing if it has been 9 hr hence it must be 8 hr)
Hence Anil Bus timing is 8 : 32
Anil bus is at 8 :32
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