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Online Test Name |
Analytical Reasoning |

Exam Type |
Multiple Choice Questions |

Category |
Reasoning Quiz |

Number of Questions |
64 Questions |

For all the users, it will be interesting to know about the concepts of the Analytical Reasoning. In the competitive examinations, the Analytical Reasoning Questions will be asked in the Reasoning section. Contenders need to know the issues related to the Analytical Reasoning before attending any test or interview. By practicing and checking the Analytical Reasoning Online Test, the candidates can get a data about the Analytical Reasoning. Refer to the below sections to practice the Analytical Reasoning Quiz and learn the questions with the answers.

56. Answer the questions on the basis of the information given below:

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Mathematicians are assigned a number called Erdos number (named after the famous mathematician. Paul Erdos). Only paul Erdos himself has an Erdos number of zero. Any mathematician who has written a research paper with Erdos has an Erdos number of 1. For other mathematicians, the calculation of his/her Erdos 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 Erdos number. Let the Erdos number of Y by y. Then, N has an Erdos number of y + 1. Hence any mathematician with co-authorship chain connected to Erdos has an Erdos number of infinity. In a seven day long mini-conference organized in memory of Paul Erdos, 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 Erdos number. Nobody had an Erdos number less than that of F.

i. On the third day of the conference F co-authored a paper jointly with A and C. This reduced the average Erdos number of the group of eight mathematicians to 3. The Erdos 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 Erdos number of the group of eight to as low a 3.

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

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

iv. No other paper was written during the conference.

The Erdos number of C at the end of the conference was:

57. Answer the questions on the basis of the information given below:

### Answer & Explanation

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Mathematicians are assigned a number called Erdos number (named after the famous mathematician. Paul Erdos). Only paul Erdos himself has an Erdos number of zero. Any mathematician who has written a research paper with Erdos has an Erdos number of 1. For other mathematicians, the calculation of his/her Erdos 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 Erdos number. Let the Erdos number of Y by y. Then, N has an Erdos number of y + 1. Hence any mathematician with co-authorship chain connected to Erdos has an Erdos number of infinity. In a seven day long mini-conference organized in memory of Paul Erdos, 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 Erdos number. Nobody had an Erdos number less than that of F.

i. On the third day of the conference F co-authored a paper jointly with A and C. This reduced the average Erdos number of the group of eight mathematicians to 3. The Erdos 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 Erdos number of the group of eight to as low a 3.

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

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

iv. No other paper was written during the conference.

The Erdos number of E at the beginning of the conference was:

Answer: Option C

Explanation:

After co-authoring with F, E was having Erdos number of 2, which was 4 less than initial Erdos number of E. So, answer is 2 + 4 = 6.

58. Refer to the following information and answer the questions that follow:

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"Kya-Kya" is an island in the South Pacific. The inhabitants of "Kya-Kya" always answer any question with two sentences. One of which is always true and the other always false.

You are walking on a road and come to a fork. You ask the inhabitants Ram, Laxman and Lila, "which road will take me to the village?"

Ram says, "I never speak to strangers, I am new to these parts."

Laxman says, "I am married to Lila. Take the left road."

Lila says, "I am married to Ram. He is not new to this place."

Which of the following is true?

59. Refer to the following information and answer the questions that follow:

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"Kya-Kya" is an island in the South Pacific. The inhabitants of "Kya-Kya" always answer any question with two sentences. One of which is always true and the other always false.

You find that your boat is stolen. You question three inhabitants of the island and they reply as follows:

John says, "I didn't do it. Mathew didn't do it."

Mathew says, "I didn't do it. Krishna didn't do it."

Krishna says, "I didn't do it, I don't know what did it."

Who stolen your boat?

60. Refer to the following information and answer the questions that follow:

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"Kya-Kya" is an island in the South Pacific. The inhabitants of "Kya-Kya" always answer any question with two sentences. One of which is always true and the other always false.

You want to speak to the chief of the village. You question three inhabitants, Amar, Bobby and Charles. Only Bobby is wearing red shirt.

A. Amar says, "I am not Bobby's son. The chief wears a red shirt."

B. Bobby says, "I am Amar's father, Charles is the chief."

C. Charles says, "The chief is one among us. I am the chief."

Who is the chief?