CAT 2019 DILR Slot 1 Question Paper(Available) :Download Solutions with Answer Key

CAT Questions

• 1.

  The two plots below give the following information about six firms A, B, C, D, E, and F for 2019 and 2023.
  PAT: The firm’s profits after taxes in Rs. crores,
  ES: The firm’s employee strength, that is the number of employees in the firm, and PRD: The percentage of the firm’s PAT that they spend on Research and Development (R&D).
  In the plots, the horizontal and vertical coordinates of point representing each firm gives their ES and PAT values respectively. The PRD values of each firm are proportional to the areas around the points representing each firm. The areas are comparable between the two plots, i.e., equal areas in the two plots represent the same PRD values for the two years.
  

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• 2.

  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.

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• 3.

  The air-conditioner (AC) in a large room can be operated either in REGULAR mode or in POWER mode to reduce the temperature.
  If the AC operates in REGULAR mode, then it brings down the temperature inside the room (called inside temperature) at a constant rate to the set temperature in 1 hour. If it operates in POWER mode, then this is achieved in 30 minutes.
  If the AC is switched off, then the inside temperature rises at a constant rate so as to reach the temperature outside at the time of switching off in 1 hour.
  The temperature outside has been falling at a constant rate from 7 pm onward until 3 am on a particular night. The following graph shows the inside temperature between 11 pm (23:00) and 2 am (2:00) that night.

  

  
  The following facts are known about the AC operation that night.
  The AC was turned on for the first time that night at 11 pm (23:00).
  The AC setting was changed (including turning it on/off, and/or setting different temperatures) only at the beginning of the hour or at 30 minutes after the hour.
  The AC was used in POWER mode for longer duration than in REGULAR mode during this 3-hour period.

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• 4.

  The numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 are placed in ten slots of the following grid based on the conditions below
  
  1. Numbers in any row appear in an increasing order from left to right.
  2. Numbers in any column appear in a decreasing order from top to bottom.
  3. 1 is placed either in the same row or in the same column as 10.
  4. Neither 2 nor 3 is placed in the same row or in the same column as 10.
  5. Neither 7 nor 8 is placed in the same row or in the same column as 9.
  6. 4 and 6 are placed in the same row.

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• 5.

  Six web surfers M, N, O, P, X, and Y each had 30 stars which they distributed among four bloggers A, B, C, and D. The number of stars received by A and B from the six web surfers is shown in the figure below
  
  The following additional facts are known regarding the number of stars received by the bloggers from the surfers.
  1. The numbers of stars received by the bloggers from the surfers were all multiples of 5 (including 0).
  2. The total numbers of stars received by the bloggers were the same.
  3. Each blogger received a different number of stars from M.
  4. Two surfers gave all their stars to a single blogger.
  5. D received more stars than C from Y

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• 6.

  The game of QUIET is played between two teams. Six teams, numbered 1, 2, 3, 4, 5, and 6, play in a QUIET tournament. These teams are divided equally into two groups. In the tournament, each team plays every other team in the same group only once, and each team in the other group exactly twice. The tournament has several rounds, each of which consists of a few games. Every team plays exactly one game in each round.
  The following additional facts are known about the schedule of games in the tournament.
  1. Each team played against a team from the other group in Round 8.
  2. In Round 4 and Round 7, the match-ups, that is the pair of teams playing against each other, were identical. In Round 5 and Round 8, the match ups were identical.
  3. Team 4 played Team 6 in both Round 1 and Round 2.
  4. Team 1 played Team 5 ONLY once and that was in Round 2.
  5. Team 3 played Team 4 in Round 3. Team 1 played Team 6 in Round 6.
  6. In Round 8, Team 3 played Team 6, while Team 2 played Team 5.