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  • Directions for question : The interview panel at IIM Calcutta decided to interview eight candidates – Mr Partha, Mr Quereshi, Dr Ratan (M

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 was an engineer who was immediately followed by Mr Tanmoy in the call timing, then which of the following options must be definitely correct ?

Option: 1

Dr Ratan (MBBS) was the last candidate to be interviewed


Option: 2

Mr William was the first candidate to be interviewed


Option: 3

There were at least three candidates whose percentile was more than Mr Tanmoy in CAT 2022


Option: 4

Mr Umesh was called at 1.40 pm


Answers (1)

best_answer

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        

Neither the first nor the last interviewee was an engineer (e). Thus if Mr Vittal was an engineer who was immediately followed by Mr Tanmoy in the call timing, then the two consecutive slots that could accommodate them would be 1) 11.40 am for Mr Vittal and 12.20 pm for Mr Tanmoy, or 2) 3.00 pm for Mr Vittal and 3.40 pm for Mr Tanmoy.

Case 1) 

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. Tanmoy Mr. Quereshi   Mr.Partha    
Profession   Engineer Engineer     Accountant    
Percentile     98.35 98.87        

 Case 2)

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. Vittal Mr. Tanmoy
Profession     Engineer     Accountant Engineer  
Percentile     98.35 98.87        

But Dr Ratan (MBBS) was called after 2.20 pm (d). Case 2 would not be able to accommodate the condition. Hence Case 2 is invalid.

In Case 1, Dr Ratan (MBBS) could be called either at 3.00 pm or at 3.40 pm. In Case 1, Mr William could have been called at any time at 11.00 am or 1.40 pm or 3.00 pm or 3.40 pm depending upon whom the other two engineers were and when was Dr Ratan (MBBS) called. In Case 1, if Dr Ratan (MBBS) was called at 3.00 pm, then Mr Umesh, an engineer (f), had to be called at 1.40 pm. However, in Case 1, if Dr Ratan (MBBS) was called at 3.40 pm, then Mr Umesh could be called at 1.40 pm or 3.00 pm.

In Case 1, Mr Tanmoy was an engineer with 98.35 percentile in CAT 2020. Mr Quereshi with 98.87 percentile (b), Mr Umesh with 99.43 percentile (f), and Mr William with 99.97 percentile (a) were definitely above Mr Tanmoy in rank in CAT 2020. There could also be more candidates.

Hence, if Mr Vittal was an engineer who was immediately followed by Mr Tanmoy in the call timing, then the option which states that there were at least three candidates whose percentile was more than Mr Tanmoy in CAT 2022 must be definitely correct.

Posted by

jitender.kumar

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