Q1-5. Three participants – Akhil, Bimal and Chatur participate in a random draw competition for five days. Every day, each participant randomly picks up a ball numbered between 1 and 9. The number on the ball determines his score on that day. The total score of a participant is the sum of his scores attained in the five days. The total score of a day is the sum of participants’ scores on that day. The 2-day average on a day, except on Day 1, is the average of the total scores of that day and of the previous day. For example, if the total scores of Day 1 and Day 2 are 25 and 20, then the 2-day average on Day 2 is calculated as 22.5. Table 1 gives the 2-day averages for Days 2 through 5.

Participants are ranked each day, with the person having the maximum score being awarded the minimum rank (1) on that day. If there is a tie, all participants with the tied score are awarded
the best available rank. For example, if on a day Akhil, Bimal, and Chatur score 8, 7 and 7 respectively, then their ranks will be 1, 2 and 2 respectively on that day. These ranks are given in
Table 2.

The following information is also known.

1. 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.

2. The total score on Day 3 is the same as the total score on Day 4.

3. Bimal’s scores are the same on Day 1 and Day 3.

Q1. What is Akhil’s score on Day 1?

1. 5

2. 6
3. 8
4. 7

EXPLANATION

Ans 4

Q2. Who attains the maximum total score?

1. Cannot be determined

2. Akhil
3. Chatur
4. Bimal

EXPLANATION

Ans 3

Q3. What is the minimum possible total score of Bimal?

EXPLANATION

Ans 25

Q4. If the total score of Bimal is a multiple of 3, what is the score of Akhil on Day 2?

1. 4

2. Cannot be determined
3. 5
4. 6

EXPLANATION

Ans 1

Q5. If Akhil attains a total score of 24, then what is the total score of Bimal?

EXPLANATION

Ans 25