Directions for question :
The interview panel at IIM Calcutta decided to interview eight candidates – Mr Partha, Mr Quereshi, Dr Ratan (MBBS), Mr Subir, Mr Tanmoy, Mr Umesh, Mr Vittal and Mr William, on the 24th January 2023. All the eight candidates were practicing professionals -- four being engineers, two being accountants, one being a professor in English and one being a general physician. Each candidate had scored a different percentile in CAT 2022.
It was decided that each candidate would be called at forty minute intervals starting from 11.00 am on 26th February 2023 at the Tata Hall in the IIM Calcutta campus.
It was also known that :
a) Mr Williams was the English professor with a 99.97 percentile
b) Mr Quereshi, who had a 98.87 percentile was called at 1.00 pm
c) Mr Partha was the accountant who was called at 2.20 pm
d) Dr Ratan (MBBS) was called after 2.20 pm
e) Neither the first nor the last interviewee was an engineer
f) Mr Umesh, who had scored 99.43 percentile was an engineer
g) The engineer with a percentile of 98.35 was called at 12.20 pm
Question :
If Mr Vittal, an accountant with a percentile of 99.87, was called at 11.40 am, then which of the following options must be definitely correct ?
Dr Ratan was called at 3.00 pm
Mr Quereshi was an engineer
Mr William was called at 1.40 pm
Mr Umesh was called at 3.00 pm
Tabulating the originally given data given would yield the following :
Time | 11.00 am | 11.40 am | 12.20 pm | 1.00 pm | 1.40 pm | 2.20 pm | 3.00 pm | 3.40 pm |
Name | Mr. Quereshi | Mr.Partha | ||||||
Profession | Engineer | Accountant | ||||||
Percentile | 98.35 | 98.87 |
Now, if Mr Vittal, an accountant with a percentile of 99.87, was called at 11.40 am, then :
Time | 11.00 am | 11.40 am | 12.20 pm | 1.00 pm | 1.40 pm | 2.20 pm | 3.00 pm | 3.40 pm |
Name | Mr. Vittal | Mr. Quereshi | Mr.Partha | |||||
Profession | Accountant | Engineer | Accountant | |||||
Percentile | 99.87 | 98.35 | 98.87 |
Neither the first nor the last interviewee was an engineer (e). Hence the candidates who were called at 1.00 pm, 1.40 pm and 3.00 pm were engineers. Hence the candidates who were called at 11.00 am and 3.40 pm were the remaining English professor and the general practitioner, in any order. But Dr Ratan (MBBS) was called after 2.20 pm (d). Hence Dr Ratan (MBBS) was called at 3.40 pm. Thus the English professor Mr Williams was called at the other remaining slot of 11.00 am.
Thus :
Time | 11.00 am | 11.40 am | 12.20 pm | 1.00 pm | 1.40 pm | 2.20 pm | 3.00 pm | 3.40 pm |
Name | Mr.William | Mr. Vittal | Mr. Quereshi | Mr.Partha | ||||
Profession | Professor | Accountant | Engineer | Engineer | Engineer | Accountant | Engineer | Gen Prac |
Percentile | 99.97 | 99.87 | 98.35 | 98.87 |
From the above we can definitely conclude that :
Dr Ratan was called at 3.40 pm
Mr William was called at 11.00 am
Mr Umesh was called at either 1.40 pm or 3.00 pm
Mr Quereshi was an engineer
Hence, Mr Quereshi was an engineer is the only option that is definitely correct.