Question 610
Directions: Study the following information carefully and answer the questions given below. The top eight ranks in the national-level drama competition are secured by the contestant of three states – Kerala, Assam and Delhi. The eight toppers are Ajay, Sachin, Viru, Ashwin, Virat, Ashish, Ambuj and Yash not definitely in the same order. Three of them are from Kerala, three from Assam and two are from Delhi. Please use the information given below and figure out the ranks and states of the eight contestant. The one who got Rank 1 does not live in Delhi. Virat’s rank is better than that of Sachin. The one who got Rank 8 does not live in Kerala. Ashwin lives in Assam. Ashish’s rank is better than that of both Ajay and Ashwin, but less than that of both Yash and Sachin. Ambuj lives neither in Kerala nor in Delhi. Virat, who does not live in Kerala, got Rank 2. Ambuj’s rank is less than that of Ashwin but better than that of Ajay. Yash, who got Rank 4, lives in Assam. Which option is true for the statement ‘a person with 6 th rank lives in Assam’?
Answer
Ashwin
Why?
According to the question: Three states: Assam, Kerala and Delhi. Eight toppers: Ajay, Sachin, Viru, Ashwin, Virat, Ashish, Ambuj and Yash. Eight Ranks: 1, 2, 3, 4, 5, 6, 7, 8 1) Virat, who does not live in Kerala, got Rank 2. 2) Yash, who got Rank 4, lives in Assam. Rank Name State Conditions 1 2 Virat Does not live in Kerala 3 4 Yash Assam 5 6 7 8 3) Ashish’s rank is better than that of both Ajay and Ashwin, but less than that of both Yash and Sachin. Thus, Yash, Sachin > Ashish > Ashwin, Ajay 4) Ambuj’s rank is less than that of Ashwin but better than that of Ajay. Thus, Ashwin > Ambuj > Ajay Combining the above two statements, we get the result as follows: Yash, Sachin > Ashish > Ashwin > Ambuj > Ajay Below Yash, we have 4 ranks. So we fill them in the order obtained above. Thus the order becomes: Sachin > Yash > Ashish > Ashwin > Ambuj > Ajay Rank Name State Conditions 1 2 Virat Does not live in Kerala 3 Sachin 4 Yash Assam 5 Ashish 6 Ashwin 7 Ambuj 8 Ajay 5) Virat’s rank is better than that of Sachin. Thus, Virat > Sachin Now only Viru is left so he will come in 1st position. Rank Name State Conditions 1 Viru 2 Virat Does not live in Kerala 3 Sachin 4 Yash Assam 5 Ashish 6 Ashwin 7 Ambuj 8 Ajay 6) Ashwin lives in Assam. 7) Ambuj lives neither in Kerala nor in Delhi. This means Ambuj lives in Assam. 8) The one who got Rank 1 does not live in Delhi. 9) The one who got Rank 8 does not live in Kerala. Rank Name State Conditions 1 Viru Does not live in Delhi 2 Virat Does not live in Kerala 3 Sachin 4 Yash Assam 5 Ashish 6 Ashwin Assam 7 Ambuj Assam lives neither in Kerala nor in Delhi 8 Ajay Delhi Does not live in Kerala It is given in the problem that 3 contestant live in Assam, 3 contestant in Kerala and 2 contestants in Delhi. Assam is filled with 3 contestants. Therefore, a person who got Rank 1 lives in Kerala, the employee who got Rank 8 lives in Delhi and Virat lives in Delhi. Rank Name State Conditions 1 Viru Kerala Does not live in Delhi 2 Virat Delhi Does not live in Kerala 3 Sachin 4 Yash Assam 5 Ashish 6 Ashwin Assam 7 Ambuj Assam lives neither in Kerala nor in Delhi 8 Ajay Delhi Does not live in Kerala Therefore final arrangement are: Rank Name State 1 Viru Kerala 2 Virat Delhi 3 Sachin Kerala 4 Yash Assam 5 Ashish Kerala 6 Ashwin Assam 7 Ambuj Assam 8 Ajay Delhi Ashwin got 6 th rank and lives in Assam.
