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  • 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,

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 Tanmoy was called at 1.40 pm and Mr Vittal at 3.00 pm, then which of the following options may not be definitely correct ?

Option: 1

Dr Ratan (MBBS) was called more than four hours after Mr William 


Option: 2

Mr Subir had a percentile of 98.35


Option: 3

Mr Umesh was called at 11.40 am


Option: 4

Mr Quereshi was an engineer


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        

 Now, if Mr Tanmoy was called at 1.40 pm and Mr Vittal 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. Tanmoy Mr.Partha Mr.Vittal  
Profession     Engineer     Accountant    
Percentile     98.35 98.87        

Dr Ratan (MBBS) was called after 2.20 pm (d). Hence Dr Ratan (MBBS) was called at 3.40 pm, as that was the only vacant slot after 2.20 pm. Mr William who was the English professor (a) could hence be called at either 1) 11.00 am or 2) 11.40 am.

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. William     Mr. Quereshi Mr. Tanmoy Mr.Partha Mr. Vittal Dr Ratan
Profession Professor   Engineer     Accountant   Gen Prac
Percentile 99.97   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. William   Mr. Quereshi Mr. Tanmoy Mr.Partha Mr.Vittal Dr. Ratan
Profession   Professor Engineer     Accountant   Gen Prac
Percentile   99.97 98.35 98.87        

But, Mr Umesh, who had scored 99.43 percentile was an engineer (f). But Case 2 would not be able to accommodate the condition, as neither the first nor the last interviewee was an engineer (e). Hence Case 2 is invalid.

But in Case 1, Mr Umesh had to be the one called in the 11.40 am slot. So Mr Subir was the one called at the 12.20 pm slot.

Thus :

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. William Mr. Umesh Mr.Subir Mr. Quereshi Mr. Tanmoy Mr.Partha Mr. Vittal Dr Ratan
Profession Professor Engineer Engineer     Accountant   Gen Prac
Percentile 99.97 99.43 98.35 98.87        

 Thus,

Dr Ratan (MBBS) was called after 4 hours 40 minutes after Mr William

Mr Subir, an engineer, had a percentile of 98.35

Mr Umesh was called at 11.40 am

Either Mr Quereshi and Mr Tanmoy, or Mr Quereshi and Mr Vittal, or Mr Tanmoy and Mr Vittal were the remaining two engineers.

Hence, if Mr Tanmoy was called at 1.40 pm and Mr Vittal at 3.00 pm, then the option stating that Mr Quereshi was an engineer may not be definitely correct.

Posted by

Rakesh

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