CAT 2024 Slot 3 — DILR Question 4
Answer the following questions based on the information given below.
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.
| Category (% of total subscribers) | 2023 | 2024 |
|---|---|---|
| Kid | 15% | 20% |
| Elder | 20% | 30% |
| Others (balance) | 65% | 50% |
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 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.
What could be the minimum percentage of subscribers who used multiple apps in 2024?
Answer & solution
20%
- B
22%
- C
16.5%
- D
10%
Medium
Multiple-app users come from Kid, Elder and Others. Kid and Elder splits are fixed by Fact 2; the Others split is free, so minimise it to zero.
2024 counts: Kid , Elder , Others (total ). Fact 2: of Kid and of Elder use one app.
Forced multiple-app users. The remaining halves/thirds use multiple apps.
Minimise the Others contribution. Others can all use one app, so its minimum multiple-app count is 0.