Question

An interesting puzzle. Rajesh has to take a train to Mumbai. He tells his friend Kiran the *hour* of the train departure and he tells Poornima at which *minute* it will depart. He also tells both of them that the train leaves between 0800 and 1200. Kiran and Poornima see the train timetable and find the following train timings between those two time: 0833 0844 0851 0918 0947 1020 1033 1118 1120 1151. Kiran then says "I don’t know when Rajesh train leaves but I am sure that Poornima also doesn't know" Poornima responds "I didn’t know his train time earlier, but now i know" Kiran replies "Now I also know the time of the train too!" *When is Rajesh train?*

Answer 1

Given:  Rajesh has to take a train to Mumbai . He tells Hour to one frind and minute to one friend

To find : When is Rajesh train

Solution:

Train Timing

Hrs         Minutes

8                               33       44              51

9         18                                      47

10                   20      33

11         18        20                                  51

Kiran knows only hour so she does not know exact training timing

but she is confirmed that Poornima  also does not know

this mean hour known to Kiran is not having a unique time   like 44  or  47 minute

=> Hour can not be  8 &  9

Poornima earlier did not know that hr can not be 8 & 9 but now

she knows that only hr are 10 & 11  

so minute can not be 20

Hence option are  10 : 33  , 11 : 18  & 11 : 51

Now kiran also say that she know the timing => hr is not 11  ( as there are two times)

Hence Train timing is 10:33

Rajesh Train is at 10 :33

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