CLAT Quantitative Techniques: Three Friends

Three friends Gowri, Madan and Abhishek who run YouTube channels organized a party. On the day of the party, Abhishek and Madan had a total of 350 subscribers across their channels. Madan and Gowri had a total of 400 subscribers across their channels.

The number of subscribers in each of their channels increases by a fixed amount each day and no one unsubscribes (i.e., leaves) their channels.

The trio had met 50 days before the party to celebrate the occasion of Gowri’s channel reaching 100 subscribers. It is known that Gowri’s channel gains 1 subscriber per day. Madan’s channel gains 4 times as many subscribers as Gowri’s channel per day. At the time of this meeting 50 days ago, total subscriber count across all three channels was 150.

Which of the following could’ve been a possible reason for throwing the party?

I.The number of subscribers across all three channels reached 400
II.Abhishek reached 100 subscribers
III.Gowri reached 150 subscribers

We know from the previous calculation that:
number of subscribers Abhishek has on the day of the party = x = 100
number of subscribers Madan has on the day of the party = y = 250
number of subscribers Gowri has on the day of the party = z = 150

Therefore, total number of subscribers = 100+250+150 = 500

Answer: B) II and III

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