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.
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A] ALIA then says “I don’t know when HEMA'S train leaves but I am sure that RIYA also doesn't know”.
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B] RIYA responds “I didn’t know her train time earlier, but now I know”
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C] ALIA replies “Now I also know the time of the train too!”
When is HEMA’s train?
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Hint:
a) Read the question properly, and seriously.
b) Read the statements one after another. Read one and use logic, then eliminate options.
c) All statements are correct, and important to reach the conclusion.
Disclaimer: This puzzle does not have any reference to Alia Bhatt, Riya Sen, and Hema Malini, whatsoever.
Answers
First, we read what Alia says when asked about Hema's train timing -
“I don’t know when Hema’s bus leaves but neither does Riya”.
Alia is only aware of the hour at which Hema's train is supposed to leave (i.e. between 0800/0900/1000/1100 hrs). Henceforth, it is confusing for her to find the exact time without knowing the minute. Also, Alia expresses her certainty that Riya does not know about the train timings as well. This hints that -
1. The minute cannot be a unique number, like in 0844 and 0947
2. Taking the above point into consideration, we rule out all 0800 and 0900 timings. If Riya had been given one of the two unique minutes, then it would have been easy for Alia to choose between 0844 or 0947 hours.
So, now we have the train timings for 1000 and 1100 hour buses, i.e.
1020, 1033, 1118, 1120, 1151
Next, we look at what Riya says in response to Alia's words:- "I didn't know her bus, but now I do!"
Considering the fact that Riya is sure about the exact minute, we can eliminate 1020 & 1120. Otherwise, it would not have been so easy for Riya to spot the right timing. Hence, our choices are narrowed down to :-
1033, 1118, 1151
As it can be seen from the lot, 1033 is strikingly unique here. This is why Alia responds, "Now I do as well!"
Ans) Hema's train leaves at 1033 hrs
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