CAT 2024 Question Paper | DILR Slot 3

CAT Questions

CAT 2024 DILR did not have a change in pattern. Atleast two sets were doable in each slot and one of the four sets was extremely tough. Choice of Sets became a crucial factor. Overall this section was at a medium to high level of difficulty.

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.

Question 7 :What was the percentage increase in the number of subscribers in the 'Elder' category from 2023 to 2024?

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Video Explanation

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Explanatory Answer

	2023	2024
KID	15% = 0.15x	20% = 0.22x
ELDER	20% = 0.2x	30% = 0.33x
OTHERS	65% = 0.65x	50% = 0.55x
TOTAL	x	1.1x

	2023 (One app)	2023 (Multiple apps)	2024 (One app)	2024 (Multiple apps)
KID	10000	y	0.11x	0.11x
ELDER	y	15000	0.22x	0.11x
OTHERS
TOTAL

Now, the difference in the number of subscribers from the Kid and Elder category in 2023 is:
0.2x - 0.15x = (y + 15000) - (y + 10000) = 5000
0.05x = 5000
x = 5000 / 0.05 = 100000

In 2023, total subscribers in Kid category = 0.15x = 15000
In 2023, total subscribers in Kid category using one app = 10000
In 2023, total subscribers in Kid category using multiple apps = y = 15000 - 10000 = 5000
Substituting the values of x and y in the tables, we get:

	2023	2024
KID	15000	22000
ELDER	20000	33000
OTHERS	65000	55000
TOTAL	100000	110000

	2023 (One app)	2023 (Multiple apps)	2024 (One app)	2024 (Multiple apps)
KID	10000	5000	11000	11000
ELDER	5000	15000	22000	11000
OTHERS
TOTAL

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The question is "What was the percentage increase in the number of subscribers in the 'Elder' category from 2023 to 2024?"

Solution:

Number of subscribers in the ‘Elder’ category in 2023 = 20000.

Number of subscribers in the ‘Elder’ category in 2024 = 33000.

Percentage increase from 2023 to 2024 = ((33000 − 20000) / 20000) × 100 = 65%.

Hence, the answer is '65%'

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