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  • Directions for question Anirban, Biswajit, Charbak, Dibyendu and Emon were five good friends since their Jadavpur University days, and were hav

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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

If only fifteen rasgullas were left in the pot during breakfast on Sunday morning, how many rasgullas were remaining in the pot after Emon had finished eating the rasgullas on Saturday night ?

 

Option: 1

25


Option: 2

32


Option: 3

42


Option: 4

48


Answers (1)

best_answer

We know that :

Order of eating rasgullas on Saturday night

Fraction before eating

Fraction after eating

Fraction eaten

Charbak

1

4/5

1/5

Anirban

4/5

8/15

4/15

Emon

8/15

4/15

4/15

Dibyendu

4/15

1/6

1/10

Biswajit

1/6

1/8

1/24

 

If only fifteen rasgullas were left in the pot during breakfast on Sunday morning, the above would look like :

Order of eating rasgullas on Saturday night

Number before eating

Number after eating

Number eaten

Charbak

120

96

24

Anirban

96

64

32

Emon

64

32

32

Dibyendu

32

20

12

Biswajit

20

15

5

 

Hence, if only fifteen rasgullas were left in the pot during breakfast on Sunday morning, thirty-two rasgullas were remaining in the pot after Emon had finished eating the rasgullas on Saturday night.

 

Posted by

jitender.kumar

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