Caselets Questions for CAT

The scatter plot shows five cities plotted by Population (x-axis, in Lakhs) and Area (y-axis, in sq km). Coordinates: P = (50, 200), Q = (30, 150), R = (80, 100), S = (20, 300), T = (60, 250). Study the plot and answer the questions that follow.

The line graph shows the number of units sold by a company over five years. NOTE: The average selling price per unit was Rs. 500 in each year. Study the chart and note, then answer the questions that follow.

[Line graph - Units Sold: 2019 = 1000, 2020 = 800, 2021 = 1200, 2022 = 1500, 2023 = 1400]

A three-step purification process has yields of 80%, 75% and 50% in steps 1, 2 and 3 respectively. The output of each step is the input to the next. After all three steps, the final output is 300 litres. Study the process and answer the questions that follow (you will need to work backwards).

Two companies, P and Q, had a combined revenue of Rs. 500 Crores. Company P's revenue was 25% more than Company Q's revenue. Answer the questions that follow.

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.