LR - Puzzles - Previous Year CAT/MBA Questions
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Answer the following questions based on the information given below.
The air-conditioner (AC) in a large room can be operated either in REGULAR mode or in POWER mode to reduce the temperature.
If the AC operates in REGULAR mode, then it brings down the temperature inside the room (called inside temperature) at a constant rate to the set temperature in 1 hour. If it operates in POWER mode, then this is achieved in 30 minutes.
If the AC is switched off, then the inside temperature rises at a constant rate so as to reach the temperature outside at the time of switching off in 1 hour.
The temperature outside has been falling at a constant rate from 7 pm onward until 3 am on a particular night. The following graph shows the inside temperature between 11 pm (23:00) and 2 am (2:00) that night.
The following facts are known about the AC operation that night.
• The AC was turned on for the first time that night at 11 pm (23:00).
• The AC setting was changed (including turning it on/off, and/or setting different temperatures) only at the beginning of the hour or at 30 minutes after the hour.
• The AC was used in POWER mode for longer duration than in REGULAR mode during this 3-hour period.
How many times the AC must have been turned off between 11:01 pm and 1:59 am?
- (a)
Cannot be determined
- (b)
2
- (c)
0
- (d)
1
Solution
Discuss
ReportWhat was the temperature outside, in degree Celsius, at 1 am?
What was the temperature outside, in degree Celsius, at 9 pm?
What best can be concluded about the number of times the AC must have either been turned on or the AC temperature setting been altered between 11:01 pm and 1:59 am?
- (a)
Either 2 or 3
- (b)
More than 3
- (c)
Exactly 3
- (d)
Exactly 2
What was the maximum difference between temperature outside and inside temperature, in degree Celsius, between 11:01 pm and 1:59 am?
Answer the following questions based on the information given below:
A visa processing office (VPO) accepts visa applications in four categories – US, UK, Schengen, and Others. The applications are scheduled for processing in twenty 15-minute slots starting at 9:00 am and ending at 2:00 pm. Ten applications are scheduled in each slot.
There are ten counters in the office, four dedicated to US applications, and two each for UK applications, Schengen applications and Others applications. Applicants are called in for processing sequentially on a first-come-first-served basis whenever a counter gets freed for their category. The processing time for an application is the same within each category. But it may vary across the categories. Each US and UK application requires 10 minutes of processing time. Depending on the number of applications in a category and time required to process an application for that category, it is possible that an applicant for a slot may be processed later.
On a particular day, Ira, Vijay and Nandini were scheduled for Schengen visa processing in that order. They had a 9:15 am slot but entered the VPO at 9:20 am. When they entered the office, exactly six out of the ten counters were either processing applications, or had finished processing one and ready to start processing the next.
Mahira and Osman were scheduled in the 9:30 am slot on that day for visa processing in the Others category.
The following additional information is known about that day.
1. All slots were full.
2. The number of US applications was the same in all the slots. The same was true for the other three categories.
3. 50% of the applications were US applications.
4. All applicants except Ira, Vijay and Nandini arrived on time.
5. Vijay was called to a counter at 9:25 am.
How many UK applications were scheduled on that day?
What is the maximum possible value of the total time (in minutes, nearest to its integer value) required to process all applications in the Others category on that day?
Which of the following is the closest to the time when Nandini’s application process got over?
- (a)
9:35 am
- (b)
9:37 am
- (c)
9:45 am
- (d)
9:50 am
Which of the following statements is false?
- (a)
The application process of Mahira started after Nandini’s.
- (b)
The application process of Osman was completed before Vijay’s.
- (c)
The application process of Osman was completed before 9:45 am.
- (d)
The application process of Mahira was completed before Nandini’s.
When did the application processing for all US applicants get over on that day?
- (a)
3:40 pm
- (b)
2:05 pm
- (c)
2:25 pm
- (d)
2:00 pm
Answer the following questions based on the information given below:
Faculty members in a management school can belong to one of four departments – Finance and Accounting (F&A), Marketing and Strategy (M&S), Operations and Quants (O&Q) and Behaviour and Human Resources (B&H). The numbers of faculty members in F&A, M&S, O&Q and B&H departments are 9, 7, 5 and 3 respectively.
Prof. Pakrasi, Prof. Qureshi, Prof. Ramaswamy and Prof. Samuel are four members of the school's faculty who were candidates for the post of the Dean of the school. Only one of the candidates was from O&Q.
Every faculty member, including the four candidates, voted for the post. In each department, all the faculty members who were not candidates voted for the same candidate. The rules for the election are listed below.
1. There cannot be more than two candidates from a single department.
2. A candidate cannot vote for himself/herself.
3. Faculty members cannot vote for a candidate from their own department.
After the election, it was observed that Prof. Pakrasi received 3 votes, Prof. Qureshi received 14 votes, Prof. Ramaswamy received 6 votes and Prof. Samuel received 1 vote. Prof. Pakrasi voted for Prof. Ramaswamy, Prof. Qureshi for Prof. Samuel, Prof. Ramaswamy for Prof. Qureshi and Prof. Samuel for Prof. Pakrasi.
Which two candidates can belong to the same department?
- (a)
Prof. Pakrasi and Prof. Qureshi
- (b)
Prof. Qureshi and Prof. Ramaswamy
- (c)
Prof. Pakrasi and Prof. Samuel
- (d)
Prof. Ramaswamy and Prof. Samuel
Which of the following can be the number of votes that Prof. Qureshi received from a single department?
- (a)
7
- (b)
9
- (c)
6
- (d)
8
If Prof. Samuel belongs to B&H, which of the following statements is/are true?
Statement A: Prof. Pakrasi belongs to M&S.
Statement B: Prof. Ramaswamy belongs to O&Q.
- (a)
Only statement A
- (b)
Only statement B
- (c)
Neither statement A not statement B
- (d)
Both statements A and B
What best can be concluded about the candidate from O&Q?
- (a)
It was Prof. Samuel.
- (b)
It was either Prof. Ramaswamy or Prof. Samuel.
- (c)
It was Prof. Ramaswamy.
- (d)
It was either Prof. Pakrasi or Prof. Qureshi.
Which of the following statements is/are true?
Statement A: Non-candidates from M&S voted for Prof. Qureshi.
Statement B: Non-candidates from F&A voted for Prof. Qureshi.
- (a)
Neither statement A nor statement B
- (b)
Only statement A
- (c)
Only statement B
- (d)
Both statements A and B
Answer the following questions based on the information given below:
Anjali, Bipasha, and Chitra visited an entertainment park that has four rides. Each ride lasts one hour and can accommodate one visitor at one point. All rides begin at 9 am and must be completed by 5 pm except for Ride-3, for which the last ride has to be completed by 1 pm. Ride gates open every 30 minutes, e.g. 10 am, 10:30 am, and so on. Whenever a ride gate opens, and there is no visitor inside, the first visitor waiting in the queue buys the ticket just before taking the ride. The ticket prices are Rs. 20, Rs. 50, Rs. 30 and Rs. 40 for Rides 1 to 4, respectively. Each of the three visitors took at least one ride and did not necessarily take all rides. None of them took the same ride more than once. The movement time from one ride to another is negligible, and a visitor leaves the ride immediately after the completion of the ride. No one takes a break inside the park unless mentioned explicitly.
The following information is also known.
- Chitra never waited in the queue and completed her visit by 11 am after spending Rs. 50 to pay for the ticket(s).
- Anjali took Ride-1 at 11 am after waiting for 30 mins for Chitra to complete it. It was the only ride where Anjali waited.
- Bipasha began her first of three rides at 11:30 am. All three visitors incurred the same amount of ticket expense by 12:15 pm.
- The last ride taken by Anjali and Bipasha was the same, where Bipasha waited 30 mins for Anjali to complete her ride. Before standing in the queue for that ride, Bipasha took a 1-hour coffee break after completing her previous ride.
What was the total amount spent on tickets (in Rs.) by Bipasha?
- (a)
110
- (b)
100
- (c)
90
- (d)
120
Which were all the rides that Anjali completed by 2:00 pm?
- (a)
Ride-1 and Ride-3
- (b)
Ride-1, Ride-2, and Ride-4
- (c)
Ride-1 and Ride-4
- (d)
Ride-1, Ride-2, and Ride-3
Which ride was taken by all three visitors?
- (a)
Ride-1
- (b)
Ride-3
- (c)
Ride-2
- (d)
Ride-4
How many rides did Anjali and Chitra take in total?
What was the total amount spent on tickets (in Rs.) by Anjali?
If the total score of Bimal is a multiple of 3, what is the score of Akhil on Day 2?
- (a)
Cannot be determined
- (b)
5
- (c)
6
- (d)
4
Answer the next 6 questions based on the information given
Amudha, Bharatan, Chandran, Dhinesh, Ezhil, Fani and Gowtham are seven people in a town. Any pair of them could either be strangers, acquaintances, or friends. All relationships are mutual. For example, if Amudha is a friend of Bharatan, then Bharatan is also a friend of Amudha. Similarly, if Amudha is a stranger to Bharatan, then Bharatan is also a stranger to Amudha.
Partial information about the number of friends, acquaintances, and strangers of each of these people among them is given in the table below.
The following additional facts are also known.
- Amudha, Bharatan, and Chandran are mutual strangers.
- Amudha, Dhinesh, and Fani are Ezil's friends.
- Chandran and Gowtham are friends.
- Every friend of Amudha is an acquaintance of Bharatan, and every acquaintance of Bharatan is a friend of Amudha.
- Every friend of Bharatan is an acquaintance of Amudha, and every acquaintance of Amudha is a friend of Bharatan.
Who are Gowtham’s acquaintances?
- (a)
Bharatan, Dhinesh and Ezhil
- (b)
Amudha, Dhinesh and Fani
- (c)
Dhinesh, Ezhil and Fani
- (d)
Amudha, Bharatan and Fani
Which of these pairs share the same type of relationship?
- (a)
(Bharatan, Ezhil) and (Fani, Gowtham)
- (b)
(Bharatan, Chandran) and (Dhinesh, Ezhil)
- (c)
(Chandran, Ezhil) and (Dhinesh, Gowtham)
- (d)
(Amudha, Gowtham) and (Ezhil, Fani)
Who is an acquaintance of Amudha?
- (a)
Ezhil
- (b)
Dhinesh
- (c)
Fani
- (d)
Gowtham
Who is an acquaintance of Chandran?
- (a)
Dhinesh
- (b)
Bharatan
- (c)
Fani
- (d)
Ezhil