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 to) and received from (incoming minutes from) these friends, grouped by the operators. Some of the entries are missing.
Operator Xitel Operator Yocel
It is known that the duration of calls from Faruq to Eshan was 200 minutes. Also, there were no calls from:
• Bijay to Eshan,
• Chetan to Anu and Chetan to Deepak,
• Deepak to Bijay and Deepak to Faruq,
• Eshan to Chetan and Eshan to Deepak.
What was the duration of calls (in minutes) from Bijay to Anu?
Show Hint
Correct Answer: 100
Solution and Explanation
The table provides the outgoing and incoming minutes for each friend. From the data, we know Bijay made calls using the operator Xitel, and we need to find the calls made from Bijay to Anu.
Step 2: Apply the given information.
We know that Bijay made 200 minutes of calls using Xitel. Given that Anu received 100 minutes from Bijay, the remaining calls must have been made to other friends.
Step 3: Conclusion.
Thus, the duration of calls from Bijay to Anu is 100 minutes.
What was the total duration of calls (in minutes) made by Anu to friends having mobile numbers from Operator Yocel?
Show Hint
Correct Answer: 525
Solution and Explanation
From the table, we know that Chetan, Deepak, and Faruq are the friends with Yocel operator, based on the incoming minutes from them.
Step 2: Sum the outgoing minutes to these friends.
Anu made 100 minutes of calls to Chetan (Yocel), 50 minutes to Deepak (Yocel), and 375 minutes to Faruq (Yocel).
Step 3: Conclusion.
Thus, the total duration of calls made by Anu to friends with Yocel is 100 + 50 + 375 = 525 minutes.
What was the total duration of calls (in minutes) made by Faruq to friends having mobile numbers from Operator Yocel?
Show Hint
Correct Answer: 350
Solution and Explanation
As with the previous question, we know that Chetan, Deepak, and Faruq have Yocel numbers.
Step 2: Apply the given information.
We know that Faruq received 100 minutes from Chetan and 200 minutes from Deepak.
Step 3: Conclusion.
Thus, the total duration of calls made by Faruq to friends with Yocel is 100 + 150 + 100 = 350 minutes.
What was the duration of calls (in minutes) from Deepak to Chetan?
Show Hint
- 50
- 0
- 100
- 125
The Correct Option is C
Solution and Explanation
We are given that Deepak made calls to Chetan. From the table, the outgoing call from Deepak to Chetan is 100 minutes.
Step 2: Conclusion.
The total call duration from Deepak to Chetan is 100 minutes.
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Three countries — Pumpland (P), Xiland (X), and Cheeseland (C) — trade among themselves and with the other countries in Rest of World (ROW). All trade volumes are given in IC (international currency). The following terminology is used:
• Trade balance = Exports– Imports
• Total trade = Exports + Imports
• Normalized trade balance = Trade balance / Total trade, expressed in percentage terms
The following information is known:
• The normalized trade balances of P, X, and C are 0%, 10%, and–20%, respectively.
• 40%of exports of X are to P. 22% of imports of P are from X.
• 90%of exports of C are to P; 4% are to ROW.
• 12%of exports of ROW are to X, 40% are to P.
• The export volumes of P, in IC, to X and C are 600 and 1200, respectively. P is the only country that exports to C.- CAT - 2025
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The game is played over 10 rounds. In each round, the child holding the Buck must pass it directly to a child sitting in one of the following positions:
• Immediately to the left;
• Immediately to the right;
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Three travelers, Jano, Kira, and Lian set out from Zerathania visiting exactly two of the countries. Each country is visited by exactly two travelers. Each traveler has a unique Flight Cost, which represents the total cost of airfare in traveling to both the countries and back to Zerathania. The Flight Cost of Jano was 4000 Zentars, while that of the other two travelers were 5000 and 6000 Zentars, not necessarily in that order. When visiting a country, a traveler spent either 1000, 2000 or 3000 in the country’s local currency. Each traveler had different spends (in the country’s local currency) in the two countries he/she visited. Across all the visits, there were exactly two spends of 1000 and exactly one spend of 3000 (in the country’s local currency).
The total “Travel Cost” for a traveler is the sum of his/her Flight Cost and the money spent in the countries visited.
The citizens of the four countries with knowledge of these travels made a few observations, with spends measured in their respective local currencies:
• Aurevia citizen: Jano and Kira visited our country, and their Travel Costs were 3500 and 8000, respectively.
• Brelosia citizen: Kira and Lian visited our country, spending 2000 and 3000, respectively. Kira’s Travel Cost was 4000.
• Cyrenia citizen: Lian visited our country and her Travel Cost was 36000.- CAT - 2025
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