Directions for question :
During the Durga Puja holidays, bored by the mechanical and stressful life in the city of Kolkata, ten young Trainee Managers of Deloitte -- Mr Abir, Ms Baisali, Mr Chintu, Mr Deepu, Mr Emon, Ms Fatima, Mr Gaurav, Ms Haimanti, Ms Indrani and Mr Jyoti decided to go for a hike in the Dooars valley in North-Bengal to de-stress themselves.
The ten members decided to hike in three different groups, such that there were at least three members in each group. They named the groups Alcazar, Rastapopoulos and Tapioca.
Mr Abir, Mr Chintu, Mr Emon, Ms Fatima, Ms Haimanti and Mr Jyoti knew how to cook. Ms Baisali, Mr Chintu, Mr Deepu, Mr Gaurav, Ms Haimanti and Ms Indrani knew how to set up a tent. Each of the groups had at least one lady, two who could cook and two who could set up a tent. Ms Fatima is the only lady in Alcazar. Mr Abir and Mr Emon were in Tapioca.
Question:
Which group had four members in it ?
Alcazar
Rastapopoulos
Tapioca
Cannot be determined
The data given can be summarized as below :
Name | Activity known | Activity known | |
1 | Mr Abir | Cooking | Tapioca |
2 | Ms Baisali | Setting tent | |
3 | Mr Chintu | Cooking + Setting tent | |
4 | Mr Deepu | Setting tent | |
5 | Mr Emon | Cooking | Tapioca |
6 | Ms Fatima | Cooking | Alcazar |
7 | Mr Gaurav | Setting tent | |
8 | Ms Haimanti | Cooking + Setting tent | |
9 | Ms Indrani | Setting tent | |
10 | Mr Jyoti | Cooking |
Mr Chintu and Ms Haimanti were the only members who can cook as well as set up a tent.
Since there were at least three members in each group of Alcazar, Rastapopoulos and Tapioca, and there were ten members in all, the distribution had to be in the form of 10 = 3 + 3 + 4, that is three members in two of the groups and four members in the remaining group. Also the criteria of the groups were such that each of the groups had at least one lady member, two members who could cook, and two members who could set up a tent.
We can see from the above table that here were six members who could cook and six members who could set up a tent.
Hence the group containing four members had to have two members who could only cook and two members who could only set up a tent, at least any one of them being a lady.
Tapioca had Mr Abir and Mr Emon as members, both of whom could only cook. Hence Tapioca needed two more members who could only set up a tent, out of which either one or both could be ladies.
Hence, the group named Tapioca had four members in it.