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Year

CAT 2023

Section

Data

Topic

Quant Based LR

Difficulty

Hard

Question

Slot-2

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 2Day 3Day 4Day 5
1515.51617

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 dayDay 1Day 2Day 3Day 4Day 5
Akhil12233
Bimal23211
Chatur31122

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.

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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