CAT 2025 Slot 3 · DILR · Question 19
CAT 2025 Slot 3 previous year question on Reasoning Based DI, with the answer and a step-by-step solution.
Set 5: Calls Between Six Friends — this question belongs to a set. Read the full set with all 4 questions →
Anu, Bijay, Chetan, Deepak, Eshan, and Faruq are six friends. Each of them uses a mobile number from exactly one of the two mobile operators - Xitel and Yocel. During the last month, the six friends made several calls to each other. Each call was made by one of these six friends to another. The table below summarizes the number of minutes of calls that each of the six made to (outgoing minutes) and received from (incoming minutes) these friends, grouped by the operators. Some of the entries are missing.
Friend | Operator | Outgoing minutes to | Incoming minutes from | ||
Operator Xitel | Operator Yocel | Operator Xitel | Operator Yocel | ||
Anu | Xitel | 100 | 50 | 225 | |
Bijay | Xitel | 200 | 125 | ||
Chetan | Yocel | 50 | 175 | 250 | 150 |
Deepak | Yocel | 100 | 150 | 275 | 100 |
Eshan | Yocel | 100 | 100 | 375 | |
Faruq | Yocel | 0 | 100 | 150 | |
It is known that the duration of calls from Faruq to Eshan was 200 minutes. Also, there were no calls from:
i. Bijay to Eshan,
ii. Chetan to Anu and Chetan to Deepak,
iii. Deepak to Bijay and Deepak to Faruq,
iv. Eshan to Chetan and Eshan to Deepak.
What was the duration of calls (in minutes) from Bijay to Anu?
Answer & solution
Answer: 50
Anu and Bijay are the only Xitel users. Anu's incoming minutes from Xitel (50) can only come from Bijay.
So Bijay → Anu = 50 minutes.
Shortcut: with only two Xitel users, each one's Xitel column is a single call flow from the other.
Hence, the answer is 50.
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