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.

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1743488726/aptidude_questions/wtyaxygpaujo8lsebbmr.png)

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.

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1743488771/aptidude_questions/tjh2jfpkp20u4updd4b0.png)

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.

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

Question

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.

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1743488726/aptidude_questions/wtyaxygpaujo8lsebbmr.png)

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.

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1743488771/aptidude_questions/tjh2jfpkp20u4updd4b0.png)

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.

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

Accepted Answer

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1743489657/aptidude_questions/yntpwvlr8i6ia9a8jcwn.png)

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1743489662/aptidude_questions/gpk8d6kdyavwamvoa7l7.png)

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1743489667/aptidude_questions/o1inw2e2wlkkfqkx9fet.png)

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1743489675/aptidude_questions/n0pppvynd7j6lmettmua.png)

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1743489682/aptidude_questions/iuuewzpjcin2blnfrm8i.png)

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1743489690/aptidude_questions/tlbbp6ioar9cjfkcbcao.png)

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1743489759/aptidude_questions/eil5xlf8chmvlcjzlko4.png)

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1743489765/aptidude_questions/s5ccjncncbh1j9mhi0ax.png)

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1743489771/aptidude_questions/pd6xgyh0qehmn1zoel6i.png)

![image.png](https://res.cloudinary.com/aptidude/image/upload/v174389780/aptidude_questions/nw3cblbukyhuhx2eqzvt.png)

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1743489789/aptidude_questions/a2odda3ijbbwalr8c4pd.png)

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1743489848/aptidude_questions/cgmixokskz1wozwv7e3k.png)

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1743489865/aptidude_questions/dfodyfo0o2j6kaawlrxc.png)

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1743490708/aptidude_questions/q8lkxhrz63nv4wmyz2qx.png)