CAT 2025 Logical Reasoning 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.
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?
What was the total duration of calls (in minutes) made by Anu to friends having mobile numbers from Operator Yocel?
What was the total duration of calls (in minutes) made by Faruq to friends having mobile numbers from Operator Yocel?
What was the duration of calls (in minutes) from Deepak to Chetan?
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.
1. The normalized trade balances of P , X and C are 0%, 10%, and –20%, respectively.
2. 40% of exports of X are to P . 22% of imports of P are from X.
3. 90% of exports of C are to P; 4% are to ROW.
4. 12% of exports of ROW are to X, 40% are to P .
5. The export volumes of P , in IC,
How much is exported from C to X, in IC?
How much is exported from P to ROW, in IC?
How much is exported from ROW to ROW, in IC?
What is the trade balance of ROW?
Which among the countries P , X, and C has/have the least total trade?
Seven children, Aarav, Bina, Chirag, Diya, Eshan, Farhan, and Gaurav, are sitting in a
circle facing inside (not necessarily in the same order) and playing a game of ‘Passing
the Buck’.
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;
• Immediate to the right;
• Second to the left; or
• Second to the right.
The game starts with Bina passing the Buck and ends with Chirag receiving the Buck.
The table below provides some information about the pass types and the child
receiving the Buck. Some information is missing and labelled as ‘?’.
Who is sitting immediately to the right of Bina?
Who is sitting third to the left of Eshan?
For which of the following pass types can the total number of occurrences be uniquely determined?
For which of the following children is it possible to determine how many times they received the Buck?
Anirbid, Chandranath, Koushik, and Suranjan participated in a puzzle solving
competition. The competition comprised 10 puzzles that had to be solved in the same
sequence, i.e., a competitor got access to a puzzle as soon as they solved the
previous puzzle. Some of the puzzles were visual puzzles and the others were
number-based puzzles. The winner of the competition was the one who solved all
puzzles in the least time.
The following charts describe their progress in the competition. The chart on the left
shows the number of puzzles solved by each competitor at a given time (in minutes)
after the start of the competition. The chart on the right shows the number of visual
puzzles solved by each competitor at a given time (in minutes) after the start of the
competition.
Who had solved the largest number of puzzles by the 20-th minute from the start of the competition?
How many minutes did Suranjan take to solve the third visual puzzle in the competition?
At what number in the sequence was the fourth number-based puzzle?
Which of the following is the closest to the average time taken by Anirbid to solve the number-based puzzles in the competition?
Aurevia, Brelosia, Cyrenia and Zerathania are four countries with their currencies
being Aurels, Brins, Crowns, and Zentars, respectively. The currencies have
different exchange values. Crown’s currency exchange rate with Zentars = 0.5, i.e.,
1 Crown is worth 0.5 Zentars.
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:
i. Aurevia citizen: Jano and Kira visited our country, and their Travel Costs were
3500 and 8000, respectively.
ii. Brelosia citizen: Kira and Lian visited our country, spending 2000 and 3000,
respectively. Kira’s Travel Cost was 4000.
iii. Cyrenia citizen: Lian visited our country and her Travel Cost was 36000
What is the sum of Travel Costs for all travelers in Zentars?
How many Zentars did Lian spend in the two countries he visited?
What was Jano’s total spend in the two countries he visited, in Aurels?
Aurevia, Brelosia, Cyrenia and Zerathania are four countries with their currencies
being Aurels, Brins, Crowns, and Zentars, respectively. The currencies have different
exchange values. Crown’s currency exchange rate with Zentars = 0.5, i.e., 1 Crown is
worth 0.5 Zentars.
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:
i. Aurevia citizen: Jano and Kira visited our country, and their Travel Costs were 3500
and 8000, respectively.
ii. Brelosia citizen: Kira and Lian visited our country, spending 2000 and 3000,
respectively. Kira’s Travel Cost was 4000.
iii. Cyrenia citizen: Lian visited our country and her Travel Cost was 36000.
One Brin is equivalent to how many Crowns?
Which of the following statements is NOT true about money spent in the local currency?