CAT DILR Questions | CAT Analytical Reasoning questions

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FundaMakers as a team has taken a painstaking step to bring you all the solutions of the Data Interpretation and Logical Reasoning (DILR) asked in the Previous Year CAT exam. CAT question bank offered by FundaMakers is a power-packed topic-wise compilation of the entire CAT previous year questions. DILR  is mostly about meticulous practice, as there are minimal concepts to learn. To maximize your CAT score in DILR make use of FundaMakers CAT Question BankQuestions from CAT previous years” examination papers have been incorporated. Let’s get started with CAT Past Year Data Interpretation and Logical Reasoning (DILR) Questions.

Comprehension

Directions for questions 11 to 15: Answer the questions on the basis of the information given below:

Mathematicians are assigned a number called Erdös number (named after the famous mathematician, Paul Erdös). Only Paul Erdös himself has an Erdös number of zero. Any mathematician who has written a research paper with Erdös has an Erdös number of 1. For other mathematicians, the calculation of his/ her Erdös number is illustrated below:

Suppose that a mathematician X has co-authored papers with several other mathematicians. From among them, mathematician Y has the smallest Erdös number. Let the Erdös number of Y be y. Then X has an Erdös number of y+1 . Hence any mathematician with no co-authorship chain connected to Erdös has an Erdös number of infinity.

In a seven day long mini-conference organized in memory of Paul Erdös, a close group of eight mathematicians, call them A, B, C, D, E, F, G and H, discussed some research problems. At the beginning of the conference, A was the only participant who had an infinite Erdös number. Nobody had an Erdös number less than that of F.

1.  On the third day of the conference F co-authored a paper jointly with A and C. This reduced the average Erdös number of the group of eight mathematicians to 3. The Erdös numbers of B, D, E, G and H remained unchanged with the writing of this paper. Further, no other co-authorship among any three members would have reduced the average Erdös number of the group of eight to as low as 3.

2.  At the end of the third day, five members of this group had identical Erdös numbers while the other three had Erdös numbers distinct from each other.

3.  On the fifth day, E co-authored a paper with F which reduced the group's average Erdös number by 0.5. The Erdös numbers of the remaining six were unchanged with the writing of this paper.

4.  No other paper was written during the conference

CAT/2006

Question . 129

The Erdös number of E at the beginning of the conference was

View Answer

Explanatory Answer

Method of solving this CAT DILR Question from Analytical Reasoning question

Correct Option: C

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