CAT 2024 Slot 3 · DILR · Question 13
CAT 2024 Slot 3 previous year question on Reasoning Based DI, with the answer and a step-by-step solution.
Set 3: OTT Subscribers by Category — this question belongs to a set. Read the full set with all 4 questions →
Over the top (OTT) subscribers of a platform are segregated into three categories: i) Kid, ii) Elder, and iii) Others. Some of the subscribers used one app and the others used multiple apps to access the platform. The figure below shows the percentage of the total number of subscribers in 2023 and 2024 who belong to the ‘Kid’ and ‘Elder’ categories.
The following additional facts are known about the numbers of subscribers.
1. The total number of subscribers increased by 10% from 2023 to 2024.
2. In 2024, 1/2 of the subscribers from the ‘Kid’ category and 2/3 of the subscribers from the ‘Elder’ category subscribers use one app.
3. In 2023, the number of subscribers from the ‘Kid’ category who used multiple apps was the same as the number of subscribers from the ‘Elder’ category who used one app.
4. 10,000 subscribers from the ‘Kid’ category used one app and 15,000 subscribers from the ‘Elder’ category used multiple apps in 2023.
- A16.5%
- B20.0%
- C10.0%
- D22.00%
Answer & solution
Answer: Option B
Solving the set
Step 1 – Let the total number of subscribers in 2023 be T. From the chart, Kid = 15% and Elder = 20% of T.
Step 2 – 2023 split. Let x = Kid subscribers using multiple apps = Elder subscribers using one app (fact 3). Kid: 10,000 + x = 0.15T. Elder: x + 15,000 = 0.20T. Subtracting the first from the second: 5,000 = 0.05T, so T = 1,00,000 and x = 5,000.
Step 3 – 2024. Total = 1.1 × 1,00,000 = 1,10,000 (fact 1). Kid = 20% = 22,000 (half one app, half multiple). Elder = 30% = 33,000 (2/3 one app = 22,000, 1/3 multiple = 11,000). Others = 1,10,000 − 22,000 − 33,000 = 55,000.
Category | 2023 total | 2023 one app | 2023 multiple apps | 2024 total | 2024 one app | 2024 multiple apps |
Kid | 15% = 15,000 | 10,000 | 5,000 | 20% = 22,000 | 11,000 | 11,000 |
Elder | 20% = 20,000 | 5,000 | 15,000 | 30% = 33,000 | 22,000 | 11,000 |
Others | 65,000 | ? | ? | 55,000 | ? | ? |
Total | 1,00,000 | 1,10,000 |
This question
In 2024, Kid multiple-app users = 11,000 and Elder multiple-app users = 11,000. Nothing is known about the 'Others', so the least possible number of multiple-app users is when all 55,000 'Others' use one app.
Minimum = 22,000/1,10,000 × 100 = 20%.
Hence, the answer is option 2.
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