CAT 2026 · Slot 2 · Expected paper

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CAT 2026 Slot 2 DILR Q14: Data Interpretation

The set
SET 3: ARENA FIGHTERS – SURVIVAL BY COIN BRACKET
A study began in 1980 to determine the retention rate of Arena fighters. It selected 1000 male fighters and 1000 female fighters and followed them until they retired. In 1980, each gender had 250 fighters in each of the following coin brackets: 10 to less than 20, 20 to less than 30, 30 to less than 40, and 40 to less than 50. The accompanying bar graph shows the number of male and female fighters still active in the Arena in 1990, 2000, 2010 and 2020, across the coin brackets shown. A fighter's coin bracket increases by exactly 10 for every 10 years. For example, a fighter in the 20–30 bracket in 1980 moves to the 40–50 bracket in 2000.

MCQ · +3 / −1 · easy

How many fighters who were being tracked and who had 30 to less than 40 coins in 1980 remained active until 2010?

Refer to the bar graph provided with this set.
Answer and solution

Correct answer: D

Solution

Answer: D — 190

1. The starting bracket is 30–40 in 1980.
2. Thirty years add 30 coins, so find 60–70 in 2010.
3. Read the 2010 male and female bars: 90 and 100 respectively.
4. Combine the two genders: 90+100=190. Do not use the 2010 bracket 30–40 or the 2020 bars.
5. Answer: D, 190.

Detailed setup and verification:
This is one cohort and both genders. Starting 30–40 in 1980 becomes 60–70 in 2010 because 30 years have elapsed. Read only the 2010 male/female pair at that bracket: 90 and 100.

The result 190 is at most the cohort’s initial 500 fighters, as it should be. The other chart values 110 and 310 can arise from unrelated years or brackets; use the year, cohort and gender filters before doing any arithmetic.

G Strategy shortcut

Method: 1980 bracket 30–40 shifts to 2010 bracket 60–70: 90M+100F=190.
Verification: 1. The starting bracket is 30–40 in 1980.
2. Thirty years add 30 coins, so find 60–70 in 2010.
3. Read the 2010 male and female bars: 90 and 100 respectively.
4. Combine the two genders: 90+100=190. Do not use the 2010 bracket 30–40 or the 2020 bars.
5. Answer: D, 190.
Trap to avoid: Use the exact requested cohort, statistic or rank condition; the worked check above establishes the result.

G Strategy: Method: 1980 bracket 30–40 shifts to 2010 bracket 60–70: 90M+100F=190. Verification: 1. The starting bracket is 30–40 in 1980. 2. Thirty years add 30 coins, so find 60–70 in 2010. 3. Read the 2010 male and female bars: 90 and 100 respectively. 4. Combine the two genders: 90+100=190. Do not use the 2010 bracket 30–40 or the 2020 bars. 5. Answer: D, 190. Trap to avoid: Use the exact requested cohort, statistic or rank condition; the worked check above establishes the result.

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