Question:medium
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.Table 1: 2-day averages for Days through 5 Day 2 Day 3 Day 4 Day 5 15 15.5 16 17
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. Table 2 : Ranks of participants on each day Day 1 Day 2 Day 3 Day 4 Day 5 Akhil 1 2 2 3 3 Bimal 2 3 2 1 1 Chatur 3 1 1 2 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.
If Akhil attains a total score of 24, then what is the total score of Bimal? (This Question was asked as TITA)
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.
If Akhil attains a total score of 24, then what is the total score of Bimal? (This Question was asked as TITA)
| Table 1: 2-day averages for Days through 5 | |||
|---|---|---|---|
| Day 2 | Day 3 | Day 4 | Day 5 |
| 15 | 15.5 | 16 | 17 |
| Table 2 : Ranks of participants on each day | |||||
|---|---|---|---|---|---|
| Day 1 | Day 2 | Day 3 | Day 4 | Day 5 | |
| Akhil | 1 | 2 | 2 | 3 | 3 |
| Bimal | 2 | 3 | 2 | 1 | 1 |
| Chatur | 3 | 1 | 1 | 2 | 2 |
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.
If Akhil attains a total score of 24, then what is the total score of Bimal? (This Question was asked as TITA)
Updated On: Nov 25, 2025
- 25
- 24
- 28
- 26
Hide Solution
The Correct Option is D
Solution and Explanation
- Daily total scores are denoted as $d_1, d_2, d_3, d_4, d_5$.
- The table provides the following relationships: $d_1 + d_2 = 30$ (Equation 1) $d_2 + d_3 = 31$ (Equation 2) $d_3 + d_4 = 32$ (Equation 3) $d_4 + d_5 = 34$ (Equation 4)
Given information:
- Day 3 and Day 4 scores are equal: $d_3 = d_4 = 16$.
- Chatur's Day 2 score is the highest, a multiple of 3.
- Chatur's lowest score is on Day 1, matching Akhil's Day 4 score.
- Chatur scored 9 only on Day 2; no other player scored 9 on any given day.
- Chatur scored 3 only on Day 1. Consequently, Chatur's scores for Days 3, 4, and 5 are 6, 6, and 6, respectively.
- Akhil's Day 4 score is 3.
- Bimal's scores on Day 1 and Day 3 are identical. Therefore, Bimal's Day 1 score is 5, implying Akhil's Day 1 score is 7.
- According to Table 2, Bimal is ranked 3rd on Day 2, and Akhil is ranked 2nd. This indicates Bimal's Day 2 score is lower than Akhil's.
Let Akhil's Day 2 score be $a$ and Bimal's be $b$.
- The sum of their scores on Day 2 is $15 - (\text{Chatur's Day 2 score})$.
- Since Chatur's Day 2 score is 9, $a + b = 15 - 9 = 6$.
- Given Akhil's score is greater than Bimal's ($a>b$), the possible pairs are ($a = 4, b = 2$) or ($a = 5, b = 1$).
The question states Akhil's total score is 24, which leads to Bimal's total score being 26.
Final Answer: 26
Was this answer helpful?
0
Top Questions on Table
- Four reviewers (R1, R2, R3, R4) are in charge of reviewing products from companies A, B, C, and D. Each reviewer provides a rating between 1 and 5 for the products. Due to a technical glitch, the original ratings were deleted, and only the averages calculated for each product (A, B, C, D) and each reviewer (R1, R2, R3, R4) were saved. The data available is as follows:Tasks:
A B C D Average 3 4 4 ? 4 3 ? 5 ? 4 ? 3 3 ? 4 ? ? ? ? 4.25 4 4 4 4.25
1. What are the missing values in the table?
2. How were the missing values calculated?
3.Verify the correctness of the given averages for both rows and columns. - Out of 10 countries -- Country 1 through Country 10 -- Country 9 has the highest gross domestic product (GDP), and Country 10 has the highest GDP per capita. GDP per capita is the GDP of a country divided by its population. The table below provides the following data about Country 1 through Country 8 for the year 2024.
Column 1 gives the country's identity.
Column 2 gives the country's GDP as a fraction of the GDP of Country 9.
Column 3 gives the country's GDP per capita as a fraction of the GDP per capita of Country 10.
Column 4 gives the country's annual GDP growth rate.
Column 5 gives the country's annual population growth rate.
Assume that the GDP growth rates and population growth rates of the countries will remain constant for the next three years. - The table given below shows the amount, in grams, of carbohydrate, protein, fat and all other nutrients, per 100 grams of nutrients in seven foodgrains. The first column shows the foodgrain category and the second column its codename. The table has some missing values.
The following additional facts are known.
1. Both the pseudo-cereals had higher amounts of carbohydrate as well as higher amounts of protein than any millet.
2. Both the cereals had higher amounts of carbohydrate than any pseudo-cereal.
3. All the missing values of carbohydrate amounts (in grams) for all the foodgrains are non zero multiples of 5.
4. All the missing values of protein, fat and other nutrients amounts (in grams) for all the foodgrains are non-zero multiples of 4.
5. P1 contained double the amount of protein that M3 contains. - Five restaurants, coded R1, R2, R3, R4 and R5 gave integer ratings to five gig workers – Ullas, Vasu, Waman, Xavier and Yusuf, on a scale of 1 to 5. The means of the ratings given by R1, R2, R3, R4 and R5 were 3.4, 2.2, 3.8, 2.8 and 3.4 respectively.
The summary statistics of these ratings for the five workers is given below.* Range of ratings is defined as the difference between the maximum and minimum ratings awarded to a worker.Ullas Vasu Waman Xavier Yusuf Mean rating 2.2 3.8 3.4 3.6 2.6 Median rating 2 4 4 4 3 Model rating 2 4 5 5 1 and 4 Range of rating 3 3 4 4 3
The following is partial information about ratings of 1 and 5 awarded by the restaurants to the workers.
(a) R1 awarded a rating of 5 to Waman, as did R2 to Xavier, R3 to Waman and Xavier, and R5 to Vasu.
(b) R1 awarded a rating of 1 to Ullas, as did R2 to Waman and Yusuf, and R3 to Yusuf.
What is the median of the ratings given by R3 to the five workers?[This question was asked as TITA] - Want to practice more? Try solving extra ecology questions todayView All Questions