Directions for question
Anirban, Biswajit, Charbak, Dibyendu and Emon were five good friends since their Jadavpur University days, and were having an offshore posting in Manila for M/s CTS for the last few years. They were all Bengalis and shared the same bachelor accommodation in Manila. The CTS South-East Asia Team Head Mr Chatterjee brought them a big earthen pot of rasgullas from Kolkata as a personal gift during his Manila visit on a Saturday.
They decided to enjoy the delicacy rare for a resident of Manila, on Sunday, an off day for them. They kept the pot in the refrigerator.
Now, Bengalis inherently have a sweet tooth, and hence are extremely fond of rasgullas. Being young men, they found it extremely difficult to cub their urge to have a taste of the sweet. During the night, at different times, they stealthily raided the refrigerator, without the knowledge of the others, to eat a few of the rasgullas.
Next morning, on the Sunday, during breakfast time the five friends found that only one-eight of the original number of rasgullas remained in the pot.
It was also known that :
a) Emon ate the rasgullas before Dibyendu did
b) None of them ate more than half the number of rasgullas that were there in the pot when they went to eat it
c) The friend who ate last ate only one-fourth of the rasgullas that were remaining in the pot when he went to eat it
d) Emon ate half of the rasgullas that were left in the pot when he went to eat it
e) Anirban ate the same number of rasgullas as Emon did
f) Dibyendu ate the rasgullas after Charbak did
g) When Anirban went to eat the rasgullas, only four-fifth of the original number of rasgullas were left in the pot
h) When Dibyendu had finished eating, more than one-eight of the original number of rasgullas was left
Question
Who was the last friend to eat the rasgullas on Saturday night ?
Anirban
Biswajit
Dibyendu
Cannot be determined
reverse been the case, then to eat the same number of rasgullas as Emon, Anirban would have to eat more than half the number of rasgullas, which is not possible as per (b).
From (a), Dibyendu ate the rasgullas after Emon.
From (g), we can conclude that Anirban was not the first friend to eat the rasgullas
Since at breakfast on Sunday morning exactly one-eighth of the original number of rasgullas were left, hence from (h) we can conclude that Dibyendu was not the last friend to eat the rasgullas
Hence, from (f) we can be sure that Charbak was the friend before Anirban and Dibyendu to eat the rasgullas.
The only friend left was Biswajit, who must have been the one to eat the rasgullas at the last.
The order of the friends eating the rasgullas on Saturday night was 1) Charbak, 2) Anirban, 2) Emon, 4) Dibyendu, and 5) Biswajit.
Hence, Biswajit was the last friend to eat the rasgullas on Saturday night