Question

Logic Puzzle:
Hema has to take a train to Mumbai after the trains are up and going post May 3rd. She tells her friend ALIA the *hour* of the train departure and RIYA at which *minute* it will depart. She also tells both of them that she will take a train that leaves between 0800 and 1200 hrs.
ALIA and RIYA see the train timetable and find the following train timings between those two times: 0833, 0844, 0851, 0918, 0947, 1020, 1033, 1118, 1120, 1151.
…………..
A] ALIA then says “I don’t know when HEMA'S train leaves but I am sure that RIYA also doesn't know”.
…………..
B] RIYA responds “I didn’t know her train time earlier, but now I know”
…………..
C] ALIA replies “Now I also know the time of the train too!”

When is HEMA’s train?​

Answer 1

Answer:

0918

Explanation:

Hey mate here's your answer!

From A) We can deduce that Alia got an hour which had repeating set of minutes i.e. The minutes' set which that hour had might come in some other hour too. For eg:- If she got 0851, then 51 repeats in 1151 too. So now her answer depends on Riya's Answer.

From B) we deduce that, Alia said that she didn't know earlier. So from here, we deduce that she must have got a minutes' set which was repeating. Then she said that "Now she knows", which means that from the previous answer, she would be sure of what the actual time was. Thus, the time could not be 0833, 0844 and 0851, as 33 and 51 repeats in the upcoming hour list. And from Riya's response, it could not be 44 as it is a unique number, which would instantly leak the answer. Now, it could not be 1020 and 1033, as both of them (minutes' sets) repeat. Similarly, it cannot be 1118, 1120 and 1151, as all of the minutes repeat in the previous cases

So the answer has to be 0918, since she(Riya) had got a repeating minutes' set, and 18 repeats here. Thus, when Riya found out the answer, simultaneously Alia also found the answer, following the same logic.

Thus the required answer is 0918.

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Answer 2

Answer:

explanation smj ni aya