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?
Correct Answer :
50
Solution :
The correct answer is 50.
We can solve this problem by identifying the operators used by each friend and matching the call minutes as follows:
Step 1: Identify the friends and their mobile operators
Based on the table:
• Friends using Xitel: Anu and Bijay
• Friends using Yocel: Chetan, Deepak, Eshan, and Faruq
Step 2: Determine the incoming calls to Anu from Xitel
From the table, under Anu's row (who uses Xitel), the value for "Incoming minutes from Operator Xitel" is given as 50.
Step 3: Deduce the calls from Bijay to Anu
Since Anu and Bijay are the only two friends using the Xitel operator, any incoming call to Anu from a Xitel user must have originated from Bijay.
Therefore, the duration of calls from Bijay to Anu is exactly 50 minutes.
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