Let the total score of day 1 , day 2 , day 3 , day 4 , and day 5 are
d1,d2,d3,d4, and
d5, respectively.
The table shows that
d1+d2=30... eq (1),
d2+d3=31... eq ( 2 ),
d3+d4=32.... eq(3),
d4+d5=34... eq(4)
It is given that participants are ranked each day, with the person having the maximum score being awarded the minimum rank (1) on that day. All participants with a tied score are awarded the best available rank if there is a tie.
It is given that the total score on Day 3 is the same as the total score on Day 4.
Therefore,
d3=d4⇒d3=d4=16, which implies
d2=15,d5=18, and
d1=15.
The day-wise score is given below:
It is known that Chatur always scores in multiples of 3 . His score on Day 2 is the unique highest score in the competition. His minimum score is observed only on Day 1, and it matches Akhil's score on Day 4.
Hence, only Chatur scored 9 (one time) on Day 2, and no other person scored 9 on any of the given 5 days. Chatur scored 3 only one time, which was on Day 1 . Therefore, the scores obtained by Chatur on Day 3, Day 4, and Day 5 are 6, 6, and 6, respectively. It is also known that Akhil's score on Day 4 is the same as the score obtained by Chatur on Day 1. Hence, Akhil's score on Day 4 is 3.
Hence, we get the following table:
From Table 2, we see that the rank of Bimal and Akhil is the same, which is 2 . Hence, The score obtained by Akhil and Bimal is the same. Let the score be
x. Therefore,
6+2x=16⇒x=5The rank of Chatur on Day 5 is 2, and the rank of Bimal is 1, which implies the score obtained by Bimal will be more than Chatur. Hence, Bimal can score either 7 or 8 on Day 5. Therefore, the score obtained by Akhil on Day 5 is either 5 or 4 .
It is given that Bimal's scores are the same on Day 1 and Day 3 . Hence, the score obtained by Bimal on Day 1 is 5, which implies The score obtained by Akhil is 7 on Day 1.
From Table 2, we can see that the rank of Bimal is 3 on Day 2, and the rank of Akhil is 2 on Day 2. Hence, the score of Bimal will be lower than Akhil on Day 2.
Let the score of Akhil be
a, and the score of Bimal be
b. Then
9+a+b=15, and
a>b ⇒a+b=6, and a>bHence, the value of a can be
4∕5, and the value of
b can be
2∕1Therefore, the final table is given below:
From the table, we can see that the score of Akhil is 7 on day 1.
The correct option is B