Question 11. Answer the questions on the basis of the information given below: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:

Question 12. Answer the questions based on the following information:Four sisters- Suvarna, Tara, Uma and Vibha are playing a game such that the loser doubles the money of each of the other players from her share. They played four games and each sister lost one game in alphabetical order. At the end of fourth game, each sister has Rs. 32.Who started with the lowest amount?

Question 13. Answer the questions based on the following information:Four sisters- Suvarna, Tara, Uma and Vibha are playing a game such that the loser doubles the money of each of the other players from her share. They played four games and each sister lost one game in alphabetical order. At the end of fourth game, each sister has Rs. 32.What was the amount with Uma at the end of the second round?

Question 14. Answer the questions based on the following information:A, B, C and D are to be seated in a row. But C and D cannot be together. Also B cannot be at the third place. Which of the following must be false?

Question 15. Answer the questions based on the following information:A, B, C and D are to be seated in a row. But C and D cannot be together. Also B cannot be at the third place. If A is not at the third place, then C has which of the following option?

Question 16. Answer the questions based on the following information:Four sisters- Suvarna, Tara, Uma and Vibha are playing a game such that the loser doubles the money of each of the other players from her share. They played four games and each sister lost one game in alphabetical order. At the end of fourth game, each sister has Rs. 32.Who started with the highest amount?

Question 17. Read the text and the statements carefully, and answer the questions.Four people of different nationalities live on the same side of a street in four houses each of different colours. Each person has a different favourite drink. The following additional information is also known:A. The Englishman lives in the red house.B. The Italian drink tea.C. The Norwegian lives in the first house on the left.D. In the second house from the right they drink milk.E. The Norwegian lives adjacent to the blue house.F. The Spaniard drinks fruit juice.G. Tea is drunk in the blue house.H. The white house is to the right of the red house.The colour of the Norwegian's house is:

Question 18. Answer the questions on the basis of the information given below:The head of  a newly formed government desires to appoint five of the six elected members A, B, C, D, E and F to portfolios of Home, Power, Defence, Telecom and Finance. F does not want portfolio if D gets one of the five. C wants either Home or Finance or no portfolio. B says that if D gets either power of Telecom then she must get the other one. E insists on a portfolio if A gets one.Which is a valid assignment?

Question 19. Read the text and the statements carefully, and answer the questions.Four people of different nationalities live on the same side of a street in four houses each of different colours. Each person has a different favourite drink. The following additional information is also known:A. The Englishman lives in the red house.B. The Italian drink tea.C. The Norwegian lives in the first house on the left.D. In the second house from the right they drink milk.E. The Norwegian lives adjacent to the blue house.F. The Spaniard drinks fruit juice.G. Tea is drunk in the blue house.H. The white house is to the right of the red house.The Norwegian drinks:

Question 20. Read the text and the statements carefully, and answer the questions.Four people of different nationalities live on the same side of a street in four houses each of different colours. Each person has a different favourite drink. The following additional information is also known:A. The Englishman lives in the red house.B. The Italian drink tea.C. The Norwegian lives in the first house on the left.D. In the second house from the right they drink milk.E. The Norwegian lives adjacent to the blue house.F. The Spaniard drinks fruit juice.G. Tea is drunk in the blue house.H. The white house is to the right of the red house.Which of the following is not true?