Year
CAT 2023
Section
Data
Topic
Quant Based LR
Difficulty
Hard
Question
Slot-2
Read the passage and answer the questions below.
Read the passage and answer the questions below.
Passage:
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 2 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.
-
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.
-
The total score on Day 3 is the same as the total score on Day 4.
-
Bimal's scores are the same on Day 1 and Day 3.
Question 1
What is Akhil's score on Day 1?
5
6
7
8
Question 2
Who attains the maximum total score?
Chatur
Bimal
Cannot be determined
Akhil
Question 3
What is the minimum possible total score of Bimal?
Question 4
If the total score of Bimal is a multiple of 3, what is the score of Akhil on Day 2?
Cannot be determined
4
6
5
Question 5
If Akhil attains a total score of 24, then what is the total score of Bimal?
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