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 Subir was an accountant who was called at 3.00 pm, then which of the following options may not be definitely correct ?
Mr Umesh was called at 1.40 pm
Dr Ratan (MBBS) was called at 3.40 pm
Mr William was called at 11.00 am
Mr Partha was called after Mr Vittal
Since 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, the timings of the start of the eight interviews would be 11.00 am, 11.40 am, 12.20 pm, 1.00 pm, 1.40 pm, 2.20 pm, 3.00 pm and 3.40 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 Subir was an accountant who was called at 3.00 pm, 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. Quereshi | Mr.Partha | Mr. Subir | |||||
Profession | Engineer | Accountant | Accountant | |||||
Percentile | 98.35 | 98.87 |
Dr Ratan (MBBS) was called after 2.20 pm (d). The only slot vacant after 2.20 pm was 3.40 pm. So Dr Ratan (MBBS) was called at 3.40 pm.
Neither the first nor the last interviewee was an engineer (e). Yet there were four engineers who were called for the interview. So the slots at 11.40 am, 1.00 pm and 1.40 pm were definitely engineers. Hence the English professor Mr Williams was called at 11.00 am, as that was the only slot left. Also Mr Tanmoy, Mr Umesh and Mr Vittal were engineers.
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. Quereshi | Mr.Partha | Mr. Subir | Dr Ratan | |||
Profession | Professor | Engineer | Engineer | Engineer | Engineer | Accountant | Accountant | Gen Prac |
Percentile | 99.97 | 98.35 | 98.87 |
From the above we can definitely conclude that :
Mr Partha was called after Mr Vittal.
Mr William was called at 11.00 am
Dr Ratan (MBBS) was called at 3.40 pm
Mr Umesh was called at either 11.40 am or 1.40 pm
Hence, Mr Umesh was called at 1.40 pm may not be definitely correct.