CAT 2025 Slot 2 DILR Set 4 Q15–Q18

A DILR caselet from the Data Interpretation & Logical Reasoning (DILR) section of CAT 2025 Slot 2, with 4 questions (Charts & Tables). Answers are CAT's official key.

The set

This set relies on a figure in the original paper, which is not reproduced here. The questions and answers are below.

The Sustainability Index (SI) of a country at a point in time is an integer between 1 and 100. This question is related to SI of six countries – A, B, C, D, E, and F – at three different points in time – 2016, 2020, and 2024. The plot represents the exact changes in their SI, with X-coordinate representing % increase in 2020 from 2016, i.e., (SI in 2020 minus SI in 2016) / (SI in 2016), and Y-coordinate representing % increase in 2024 from 2020. At any point in time, the country with highest SI is ranked 1, while the country with the lowest SI is ranked 6. The following additional facts are known.
1. In 2016, B, C, E, and A had ranks 1, 2, 3, and 4 respectively.
2. F had lower SI than any other country in 2016, 2020, and 2024.
3. In 2024, E was the only country with SI of 90.
4. The range of SI of the six countries was 60 in 2016 as well as in 2024.

[Figure in the original paper]

Question 15

What was the SI of E in 2016?

TITA: type in the answer. There are no options and no negative marking.

Answer: 60 Charts & Tables TITA

Solution

  1. From the plot, 2016 to 2024 multipliers: A \(1.25 \times 1.5\), B \(0.75 \times 0.75\), C \(0.8 \times 1.4\), D \(2 \times 1.2\), E \(1.25 \times 1.2 = 1.5\), F \(2 \times 0.75 = 1.5\).
  2. E in 2024 is 90, so E in 2016 \(= 90 / 1.5 = 60\).
  3. So E's SI in 2016 was 60.

Shortcut. \(1.25 \times 1.2 = 1.5\), and \(90 / 1.5 = 60\).

Question 16

What was the SI of F in 2020?

TITA: type in the answer. There are no options and no negative marking.

Answer: 40 Charts & Tables TITA

Solution

  1. From the plot, 2016 to 2024 multipliers: A \(1.25 \times 1.5\), B \(0.75 \times 0.75\), C \(0.8 \times 1.4\), D \(2 \times 1.2\), E \(1.25 \times 1.2 = 1.5\), F \(2 \times 0.75 = 1.5\).
  2. E in 2024 is 90, so E in 2016 \(= 90 / 1.5 = 60\).
  3. Integer SIs force B(2016) to be a multiple of 16 and C(2016) a multiple of 25. Ranks 2016: B > C > E = 60 > A > D > F, so C = 75 and B = 80 or 96, with F = B - 60 = 20 or 36.
  4. 2024 range is 60 and F is lowest. If F(2016) = 36, F(2024) = 54 and the top would be 114, impossible. So F(2016) = 20, B(2016) = 80, F(2024) = 30 and the 2024 top is E's 90.
  5. Hence F(2020) = 40, C(2024) = \(75 \times 0.8 \times 1.4 = 84\), B(2024) = \(80 \times 0.5625 = 45\).
  6. F in 2020 \(= 20 \times 2 = 40\).

Question 17

What was the SI of C in 2024?

TITA: type in the answer. There are no options and no negative marking.

Answer: 84 Charts & Tables TITA

Solution

  1. From the plot, 2016 to 2024 multipliers: A \(1.25 \times 1.5\), B \(0.75 \times 0.75\), C \(0.8 \times 1.4\), D \(2 \times 1.2\), E \(1.25 \times 1.2 = 1.5\), F \(2 \times 0.75 = 1.5\).
  2. E in 2024 is 90, so E in 2016 \(= 90 / 1.5 = 60\).
  3. Integer SIs force B(2016) to be a multiple of 16 and C(2016) a multiple of 25. Ranks 2016: B > C > E = 60 > A > D > F, so C = 75 and B = 80 or 96, with F = B - 60 = 20 or 36.
  4. 2024 range is 60 and F is lowest. If F(2016) = 36, F(2024) = 54 and the top would be 114, impossible. So F(2016) = 20, B(2016) = 80, F(2024) = 30 and the 2024 top is E's 90.
  5. Hence F(2020) = 40, C(2024) = \(75 \times 0.8 \times 1.4 = 84\), B(2024) = \(80 \times 0.5625 = 45\).
  6. C in 2024 \(= 84\).

Question 18

What was the SI of B in 2024?
  1. A
    54
  2. B
    60
  3. C
    80
  4. D
    45

Answer: (D) 45 Charts & Tables MCQ

Solution

  1. From the plot, 2016 to 2024 multipliers: A \(1.25 \times 1.5\), B \(0.75 \times 0.75\), C \(0.8 \times 1.4\), D \(2 \times 1.2\), E \(1.25 \times 1.2 = 1.5\), F \(2 \times 0.75 = 1.5\).
  2. E in 2024 is 90, so E in 2016 \(= 90 / 1.5 = 60\).
  3. Integer SIs force B(2016) to be a multiple of 16 and C(2016) a multiple of 25. Ranks 2016: B > C > E = 60 > A > D > F, so C = 75 and B = 80 or 96, with F = B - 60 = 20 or 36.
  4. 2024 range is 60 and F is lowest. If F(2016) = 36, F(2024) = 54 and the top would be 114, impossible. So F(2016) = 20, B(2016) = 80, F(2024) = 30 and the 2024 top is E's 90.
  5. Hence F(2020) = 40, C(2024) = \(75 \times 0.8 \times 1.4 = 84\), B(2024) = \(80 \times 0.5625 = 45\).
  6. B in 2024 \(= 45\).

Same concept in other years

See every question on Scatter/bubble plot DI: read coordinates and areas to compare entities.

More Charts & Tables questions from CAT

All 130 Charts & Tables questions asked since 2017.