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Previous Year Questions
How many times do the teams pass through Station B in a day?
Video Explanation
Explanatory Answer
Which team patrols the street connecting Stations D and E at 10:15 hrs?
Video Explanation
Explanatory Answer
An air conditioner (AC) company has four dealers – D1, D2, D3 and D4 in a city. It is evaluating sales performances of these dealers. The company sells two variants of ACs – Window and Split. Both these variants can be either Inverter type or Non-inverter type. It is known that of the total number of ACs sold in the city, 25% were of Window variant, while the rest were of Split variant. Among the Inverter ACs sold, 20% were of Window variant.
The following information is also known: 1. Every dealer sold at least two window ACs.
2. D1 sold 13 inverter ACs, while D3 sold 5 Non-inverter ACs. 3. A total of six Window Non-inverter ACs and 36 Split Inverter ACs were sold in the city.4. The number of Split ACs sold by D1 was twice the number of Window ACs sold by it.5. D3 and D4 sold an equal number of Window ACs and this number was one-third of the number of similar ACs sold by D2.6. D2 and D3 were the only ones who sold Window Non-inverter ACs. The number of these ACs sold by D2 was twice the number of these ACs sold by D3.
7. D3 and D4 sold an equal number of Split Inverter ACs. This number was half the number of similar ACs sold by D2.
How many Split Inverter ACs did D2 sell?
Video Explanation
Explanatory Answer
What percentage of ACs sold were of Non-inverter type?
Video Explanation
Explanatory Answer
What was the total number of ACs sold by D2 and D4?
Video Explanation
Explanatory Answer
Which of the following statements is necessarily false?
Video Explanation
Explanatory Answer
If D3 and D4 sold an equal number of ACs, then what was the number of Non-inverter ACs sold by D2?
Video Explanation
Explanatory Answer
How many Split Inverter ACs did D2 sell?
Video Explanation
Explanatory Answer
What percentage of ACs sold were of Non-inverter type?
Video Explanation
Explanatory Answer
What was the total number of ACs sold by D2 and D4?
Video Explanation
Explanatory Answer
Which of the following statements is necessarily false?
Video Explanation
Explanatory Answer
If D3 and D4 sold an equal number of ACs, then what was the number of Non-inverter ACs sold by D2?
Video Explanation
Explanatory Answer
What was the number of online registrations in January?
Video Explanation
Explanatory Answer
Which of the following statements can be true?
I. The number of offline registrations was the smallest in May.
II. The total number of registrations was the smallest in February.
Video Explanation
Explanatory Answer
What best can be concluded about the number of offline registrations in February?
Video Explanation
Explanatory Answer
In a coaching class, some students register online, and some others register offline. No student registers both online and offline; hence the total registration number is the sum of online and offline registrations. The following facts and table pertain to these registration numbers for the five months – January to May of 2023. The table shows the minimum, maximum, median registration numbers of these five months, separately for online, offline and total number of registrations. The following additional facts are known.
1. In every month, both online and offline registration numbers were multiples of 10.
2. In January, the number of offline registrations was twice that of online registrations.
3. In April, the number of online registrations was twice that of offline registrations.
4. The number of online registrations in March was the same as the number of offline registrations in February.
5. The number of online registrations was the largest in May.
What was the total number of registrations in April?
Video Explanation
Explanatory Answer
What was the number of online registrations in January?
Video Explanation
Explanatory Answer
Which of the following statements can be true?
I. The number of offline registrations was the smallest in May.
II. The total number of registrations was the smallest in February.
Video Explanation
Explanatory Answer
What best can be concluded about the number of offline registrations in February?
Video Explanation
Explanatory Answer
What was the total number of registrations in April?
Video Explanation
Explanatory Answer
What was the weight of the test component?
Video Explanation
Explanatory Answer
What was the maximum aggregate score obtained by the students?
Video Explanation
Explanatory Answer
What was Mathew's score in the test?
Video Explanation
Explanatory Answer
Which of the following pairs of students were part of the same project team?
i) Amala and Biman
ii) Koli and Mathew
Video Explanation
Explanatory Answer
What was Rini's score in the project?
Video Explanation
Explanatory Answer
There are only three female students – Amala, Koli and Rini – and only three male students – Biman, Mathew and Shyamal – in a course. The course has two evaluation components, a project and a test. The aggregate score in the course is a weighted average of the two components, with the weights being positive and adding to 1.
The projects are done in groups of two, with each group consisting of a female and a male student. Both the group members obtain the same score in the project.
The following additional facts are known about the scores in the project and the test.
1. The minimum, maximum and the average of both project and test scores were identical – 40, 80 and 60, respectively.
2. The test scores of the students were all multiples of 10; four of them were distinct and the remaining two were equal to the average test scores.
3. Amala's score in the project was double that of Koli in the same, but Koli scored 20 more than Amala in the test. Yet Amala had the highest aggregate score.
4. Shyamal scored the second highest in the test. He scored two more than Koli, but two less than Amala in the aggregate.
5. Biman scored the second lowest in the test and the lowest in the aggregate.
6. Mathew scored more than Rini in the project, but less than her in the test.
What was Rini's score in the project?
Video Explanation
Explanatory Answer
What was the weight of the test component?
Video Explanation
Explanatory Answer
What was the maximum aggregate score obtained by the students?
Video Explanation
Explanatory Answer
What was Mathew's score in the test?
Video Explanation
Explanatory Answer
Which of the following pairs of students were part of the same project team?
i) Amala and Biman
ii) Koli and Mathew
Video Explanation
Explanatory Answer
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?
Video Explanation
Explanatory Answer
There are 20 slots of 15 minutes each from 9:00 AM to 2:00 PM. There are ten counters in the VPO.
From the given information and condition (1), Total number of applications scheduled = 10 × 20 = 200
From condition (3), Number of US applications = 100. Number of application for rest 3 categories = 100.
From condition (2), Number of US applications for each slot = 100/20 = 5. Similarly, number of applications of rest 3 categories for each slot = 100/20 = 5.
The processing time for an application is the same within each category. But it may vary across the categories.
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.
The information can be shown in the table below.
Step 2:
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 i.e., they had delayed by 5 minutes.
So at least 3 people were scheduled for each slot for a Schengen visa.
Mahira and Osman were scheduled in the 9:30 AM slot on that day for visa processing in the Others category
So at least 2 people were scheduled for each slot for an Others category visa.
Total applications on that day = 200
US applications = 100
So there are 5 applications of US out of total 10 in one time slot.
There were 3 applications of Schengen and 2 applications of Others in 1 time slot.
Hence, there are 0 applications of UK in one time slot.
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?
Video Explanation
Explanatory Answer
There are 20 slots of 15 minutes each from 9:00 AM to 2:00 PM. There are ten counters in the VPO.
From the given information and condition (1), Total number of applications scheduled = 10 × 20 = 200
From condition (3), Number of US applications = 100. Number of application for rest 3 categories = 100.
From condition (2), Number of US applications for each slot = 100/20 = 5. Similarly, number of applications of rest 3 categories for each slot = 100/20 = 5.
The processing time for an application is the same within each category. But it may vary across the categories.
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.
The information can be shown in the table below.
Step 2:
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 i.e., they had delayed by 5 minutes.
So at least 3 people were scheduled for each slot for a Schengen visa.
Mahira and Osman were scheduled in the 9:30 AM slot on that day for visa processing in the Others category.
So at least 2 people were scheduled for each slot for an Others category visa.
Which of the following is the closest to the time when Nandini's application process got over?
Video Explanation
Explanatory Answer
There are 20 slots of 15 minutes each from 9:00 AM to 2:00 PM. There are ten counters in the VPO.
From the given information and condition (1), Total number of applications scheduled = 10 × 20 = 200
From condition (3), Number of US applications = 100. Number of application for rest 3 categories = 100.
From condition (2), Number of US applications for each slot = 100/20 = 5. Similarly, number of applications of rest 3 categories for each slot = 100/20 = 5.
The processing time for an application is the same within each category. But it may vary across the categories.
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.
The information can be shown in the table below.
Step 2:
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 i.e., they had delayed by 5 minutes.
So at least 3 people were scheduled for each slot for a Schengen visa.
Mahira and Osman were scheduled in the 9:30 AM slot on that day for visa processing in the Others category.
So at least 2 people were scheduled for each slot for an Others category visa.
Which of the following statements is false?
Video Explanation
Explanatory Answer
There are 20 slots of 15 minutes each from 9:00 AM to 2:00 PM. There are ten counters in the VPO.
From the given information and condition (1), Total number of applications scheduled = 10 × 20 = 200
From condition (3), Number of US applications = 100. Number of application for rest 3 categories = 100.
From condition (2), Number of US applications for each slot = 100/20 = 5. Similarly, number of applications of rest 3 categories for each slot = 100/20 = 5.
The processing time for an application is the same within each category. But it may vary across the categories.
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.
The information can be shown in the table below.
Step 2:
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 i.e., they had delayed by 5 minutes.
So at least 3 people were scheduled for each slot for a Schengen visa.
Mahira and Osman were scheduled in the 9:30 AM slot on that day for visa processing in the Others category.
So at least 2 people were scheduled for each slot for an Others category visa.
When did the application processing for all US applicants get over on that day?
Video Explanation
Explanatory Answer
There are 20 slots of 15 minutes each from 9:00 AM to 2:00 PM. There are ten counters in the VPO.
From the given information and condition (1), Total number of applications scheduled = 10 × 20 = 200
From condition (3), Number of US applications = 100. Number of application for rest 3 categories = 100.
From condition (2), Number of US applications for each slot = 100/20 = 5. Similarly, number of applications of rest 3 categories for each slot = 100/20 = 5.
The processing time for an application is the same within each category. But it may vary across the categories.
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.
The information can be shown in the table below.
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 i.e., they had delayed by 5 minutes.
So at least 3 people were scheduled for each slot for a Schengen visa.
Mahira and Osman were scheduled in the 9:30 AM slot on that day for visa processing in the Others category.
So at least 2 people were scheduled for each slot for an Others category visa.
How many UK applications were scheduled on that day?
Video Explanation
Explanatory Answer
There are 20 slots of 15 minutes each from 9:00 AM to 2:00 PM. There are ten counters in the VPO.
From the given information and condition (1), Total number of applications scheduled = 10 × 20 = 200
From condition (3), Number of US applications = 100. Number of application for rest 3 categories = 100.
From condition (2), Number of US applications for each slot = 100/20 = 5. Similarly, number of applications of rest 3 categories for each slot = 100/20 = 5.
The processing time for an application is the same within each category. But it may vary across the categories.
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.
The information can be shown in the table below.
Step 2:
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 i.e., they had delayed by 5 minutes.
So at least 3 people were scheduled for each slot for a Schengen visa.
Mahira and Osman were scheduled in the 9:30 AM slot on that day for visa processing in the Others category
So at least 2 people were scheduled for each slot for an Others category visa.
Total applications on that day = 200
US applications = 100
So there are 5 applications of US out of total 10 in one time slot.
There were 3 applications of Schengen and 2 applications of Others in 1 time slot.
Hence, there are 0 applications of UK in one time slot.
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?
Video Explanation
Explanatory Answer
There are 20 slots of 15 minutes each from 9:00 AM to 2:00 PM. There are ten counters in the VPO.
From the given information and condition (1), Total number of applications scheduled = 10 × 20 = 200
From condition (3), Number of US applications = 100. Number of application for rest 3 categories = 100.
From condition (2), Number of US applications for each slot = 100/20 = 5. Similarly, number of applications of rest 3 categories for each slot = 100/20 = 5.
The processing time for an application is the same within each category. But it may vary across the categories.
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.
The information can be shown in the table below.
Step 2:
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 i.e., they had delayed by 5 minutes.
So at least 3 people were scheduled for each slot for a Schengen visa.
Mahira and Osman were scheduled in the 9:30 AM slot on that day for visa processing in the Others category.
So at least 2 people were scheduled for each slot for an Others category visa.
Which of the following is the closest to the time when Nandini's application process got over?
Video Explanation
Explanatory Answer
There are 20 slots of 15 minutes each from 9:00 AM to 2:00 PM. There are ten counters in the VPO.
From the given information and condition (1), Total number of applications scheduled = 10 × 20 = 200
From condition (3), Number of US applications = 100. Number of application for rest 3 categories = 100.
From condition (2), Number of US applications for each slot = 100/20 = 5. Similarly, number of applications of rest 3 categories for each slot = 100/20 = 5.
The processing time for an application is the same within each category. But it may vary across the categories.
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.
The information can be shown in the table below.
Step 2:
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 i.e., they had delayed by 5 minutes.
So at least 3 people were scheduled for each slot for a Schengen visa.
Mahira and Osman were scheduled in the 9:30 AM slot on that day for visa processing in the Others category.
So at least 2 people were scheduled for each slot for an Others category visa.
Which of the following statements is false?
Video Explanation
Explanatory Answer
There are 20 slots of 15 minutes each from 9:00 AM to 2:00 PM. There are ten counters in the VPO.
From the given information and condition (1), Total number of applications scheduled = 10 × 20 = 200
From condition (3), Number of US applications = 100. Number of application for rest 3 categories = 100.
From condition (2), Number of US applications for each slot = 100/20 = 5. Similarly, number of applications of rest 3 categories for each slot = 100/20 = 5.
The processing time for an application is the same within each category. But it may vary across the categories.
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.
The information can be shown in the table below.
Step 2:
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 i.e., they had delayed by 5 minutes.
So at least 3 people were scheduled for each slot for a Schengen visa.
Mahira and Osman were scheduled in the 9:30 AM slot on that day for visa processing in the Others category.
So at least 2 people were scheduled for each slot for an Others category visa.
When did the application processing for all US applicants get over on that day?
Video Explanation
Explanatory Answer
There are 20 slots of 15 minutes each from 9:00 AM to 2:00 PM. There are ten counters in the VPO.
From the given information and condition (1), Total number of applications scheduled = 10 × 20 = 200
From condition (3), Number of US applications = 100. Number of application for rest 3 categories = 100.
From condition (2), Number of US applications for each slot = 100/20 = 5. Similarly, number of applications of rest 3 categories for each slot = 100/20 = 5.
The processing time for an application is the same within each category. But it may vary across the categories.
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.
The information can be shown in the table below.
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 i.e., they had delayed by 5 minutes.
So at least 3 people were scheduled for each slot for a Schengen visa.
Mahira and Osman were scheduled in the 9:30 AM slot on that day for visa processing in the Others category.
So at least 2 people were scheduled for each slot for an Others category visa.
How many individual ratings cannot be determined from the above information?
Video Explanation
Explanatory Answer
Step 1:
Mean rating of Ullas is 2.2. So his total rating = 2.2 × 5 = 11.
Since his median rating is 2.
So his middle most rating is 2.
Since his mode rating is 2. So his one more rating is 2.
Since his range of rating is 3. So his two ratings are 1 and 5 or 2 and 5 or 1 and 4.
Hence, only possible ratings of Ullas is (1, 2, 2, 2, 4).
Mean rating of Vasu is 3.8. So his total rating is 3.8 × 5 = 19. His median rating is 4. So his middle most rating is 4.
His mode rating is 4. So his one more rating is 4.
Since range of rating is 3. So only possible ratings of Vasu is (2, 4, 4, 4, 5).
Similarly, possible ratings of Waman, Xavier and Yusuf are (1, 2, 4, 5, 5), (1, 3, 4, 5, 5) and (1, 1, 3,
4, 4) respectively
To how many workers did R2 give a rating of 4?
Video Explanation
Explanatory Answer
Step 1:
Mean rating of Ullas is 2.2. So his total rating = 2.2 × 5 = 11.
Since his median rating is 2.
So his middle most rating is 2.
Since his mode rating is 2. So his one more rating is 2.
Since his range of rating is 3. So his two ratings are 1 and 5 or 2 and 5 or 1 and 4.
Hence, only possible ratings of Ullas is (1, 2, 2, 2, 4).
Mean rating of Vasu is 3.8. So his total rating is 3.8 × 5 = 19. His median rating is 4. So his middle most rating is 4.
His mode rating is 4. So his one more rating is 4.
Since range of rating is 3. So only possible ratings of Vasu is (2, 4, 4, 4, 5).
Similarly, possible ratings of Waman, Xavier and Yusuf are (1, 2, 4, 5, 5), (1, 3, 4, 5, 5) and (1, 1, 3,
4, 4) respectively
What rating did R1 give to Xavier?
Video Explanation
Explanatory Answer
Step 1:
Mean rating of Ullas is 2.2. So his total rating = 2.2 × 5 = 11.
Since his median rating is 2.
So his middle most rating is 2.
Since his mode rating is 2. So his one more rating is 2.
Since his range of rating is 3. So his two ratings are 1 and 5 or 2 and 5 or 1 and 4.
Hence, only possible ratings of Ullas is (1, 2, 2, 2, 4).
Mean rating of Vasu is 3.8. So his total rating is 3.8 × 5 = 19. His median rating is 4. So his middle most rating is 4.
His mode rating is 4. So his one more rating is 4.
Since range of rating is 3. So only possible ratings of Vasu is (2, 4, 4, 4, 5).
Similarly, possible ratings of Waman, Xavier and Yusuf are (1, 2, 4, 5, 5), (1, 3, 4, 5, 5) and (1, 1, 3,
4, 4) respectively
What is the median of the ratings given by R3 to the five workers?
Video Explanation
Explanatory Answer
Step 1:
Mean rating of Ullas is 2.2. So his total rating = 2.2 × 5 = 11.
Since his median rating is 2.
So his middle most rating is 2.
Since his mode rating is 2. So his one more rating is 2.
Since his range of rating is 3. So his two ratings are 1 and 5 or 2 and 5 or 1 and 4.
Hence, only possible ratings of Ullas is (1, 2, 2, 2, 4).
Mean rating of Vasu is 3.8. So his total rating is 3.8 × 5 = 19. His median rating is 4. So his middle most rating is 4.
His mode rating is 4. So his one more rating is 4.
Since range of rating is 3. So only possible ratings of Vasu is (2, 4, 4, 4, 5).
Similarly, possible ratings of Waman, Xavier and Yusuf are (1, 2, 4, 5, 5), (1, 3, 4, 5, 5) and (1, 1, 3,
4, 4) respectively
Which among the following restaurants gave its median rating to exactly one of the workers?
Video Explanation
Explanatory Answer
Step 1:
Mean rating of Ullas is 2.2. So his total rating = 2.2 × 5 = 11.
Since his median rating is 2.
So his middle most rating is 2.
Since his mode rating is 2. So his one more rating is 2.
Since his range of rating is 3. So his two ratings are 1 and 5 or 2 and 5 or 1 and 4.
Hence, only possible ratings of Ullas is (1, 2, 2, 2, 4).
Mean rating of Vasu is 3.8. So his total rating is 3.8 × 5 = 19. His median rating is 4. So his middle most rating is 4.
His mode rating is 4. So his one more rating is 4.
Since range of rating is 3. So only possible ratings of Vasu is (2, 4, 4, 4, 5).
Similarly, possible ratings of Waman, Xavier and Yusuf are (1, 2, 4, 5, 5), (1, 3, 4, 5, 5) and (1, 1, 3,
4, 4) respectively
How many individual ratings cannot be determined from the above information?
Video Explanation
Explanatory Answer
Step 1:
Mean rating of Ullas is 2.2. So his total rating = 2.2 × 5 = 11.
Since his median rating is 2.
So his middle most rating is 2.
Since his mode rating is 2. So his one more rating is 2.
Since his range of rating is 3. So his two ratings are 1 and 5 or 2 and 5 or 1 and 4.
Hence, only possible ratings of Ullas is (1, 2, 2, 2, 4).
Mean rating of Vasu is 3.8. So his total rating is 3.8 × 5 = 19. His median rating is 4. So his middle most rating is 4.
His mode rating is 4. So his one more rating is 4.
Since range of rating is 3. So only possible ratings of Vasu is (2, 4, 4, 4, 5).
Similarly, possible ratings of Waman, Xavier and Yusuf are (1, 2, 4, 5, 5), (1, 3, 4, 5, 5) and (1, 1, 3,
4, 4) respectively
To how many workers did R2 give a rating of 4?
Video Explanation
Explanatory Answer
Step 1:
Mean rating of Ullas is 2.2. So his total rating = 2.2 × 5 = 11.
Since his median rating is 2.
So his middle most rating is 2.
Since his mode rating is 2. So his one more rating is 2.
Since his range of rating is 3. So his two ratings are 1 and 5 or 2 and 5 or 1 and 4.
Hence, only possible ratings of Ullas is (1, 2, 2, 2, 4).
Mean rating of Vasu is 3.8. So his total rating is 3.8 × 5 = 19. His median rating is 4. So his middle most rating is 4.
His mode rating is 4. So his one more rating is 4.
Since range of rating is 3. So only possible ratings of Vasu is (2, 4, 4, 4, 5).
Similarly, possible ratings of Waman, Xavier and Yusuf are (1, 2, 4, 5, 5), (1, 3, 4, 5, 5) and (1, 1, 3,
4, 4) respectively
What rating did R1 give to Xavier?
Video Explanation
Explanatory Answer
Step 1:
Mean rating of Ullas is 2.2. So his total rating = 2.2 × 5 = 11.
Since his median rating is 2.
So his middle most rating is 2.
Since his mode rating is 2. So his one more rating is 2.
Since his range of rating is 3. So his two ratings are 1 and 5 or 2 and 5 or 1 and 4.
Hence, only possible ratings of Ullas is (1, 2, 2, 2, 4).
Mean rating of Vasu is 3.8. So his total rating is 3.8 × 5 = 19. His median rating is 4. So his middle most rating is 4.
His mode rating is 4. So his one more rating is 4.
Since range of rating is 3. So only possible ratings of Vasu is (2, 4, 4, 4, 5).
Similarly, possible ratings of Waman, Xavier and Yusuf are (1, 2, 4, 5, 5), (1, 3, 4, 5, 5) and (1, 1, 3,
4, 4) respectively
What is the median of the ratings given by R3 to the five workers?
Video Explanation
Explanatory Answer
Step 1:
Mean rating of Ullas is 2.2. So his total rating = 2.2 × 5 = 11.
Since his median rating is 2.
So his middle most rating is 2.
Since his mode rating is 2. So his one more rating is 2.
Since his range of rating is 3. So his two ratings are 1 and 5 or 2 and 5 or 1 and 4.
Hence, only possible ratings of Ullas is (1, 2, 2, 2, 4).
Mean rating of Vasu is 3.8. So his total rating is 3.8 × 5 = 19. His median rating is 4. So his middle most rating is 4.
His mode rating is 4. So his one more rating is 4.
Since range of rating is 3. So only possible ratings of Vasu is (2, 4, 4, 4, 5).
Similarly, possible ratings of Waman, Xavier and Yusuf are (1, 2, 4, 5, 5), (1, 3, 4, 5, 5) and (1, 1, 3,
4, 4) respectively
Which among the following restaurants gave its median rating to exactly one of the workers?
Video Explanation
Explanatory Answer
Step 1:
Mean rating of Ullas is 2.2. So his total rating = 2.2 × 5 = 11.
Since his median rating is 2.
So his middle most rating is 2.
Since his mode rating is 2. So his one more rating is 2.
Since his range of rating is 3. So his two ratings are 1 and 5 or 2 and 5 or 1 and 4.
Hence, only possible ratings of Ullas is (1, 2, 2, 2, 4).
Mean rating of Vasu is 3.8. So his total rating is 3.8 × 5 = 19. His median rating is 4. So his middle most rating is 4.
His mode rating is 4. So his one more rating is 4.
Since range of rating is 3. So only possible ratings of Vasu is (2, 4, 4, 4, 5).
Similarly, possible ratings of Waman, Xavier and Yusuf are (1, 2, 4, 5, 5), (1, 3, 4, 5, 5) and (1, 1, 3,
4, 4) respectively
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?
Video Explanation
Explanatory Answer
Which of the following can be the number of votes that Prof. Qureshi received from a single department?
Video Explanation
Explanatory Answer
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.
Video Explanation
Explanatory Answer
What best can be concluded about the candidate from O&Q?
Video Explanation
Explanatory Answer
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.
Video Explanation
Explanatory Answer
Which two candidates can belong to the same department?
Video Explanation
Explanatory Answer
Which of the following can be the number of votes that Prof. Qureshi received from a single department?
Video Explanation
Explanatory Answer
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.
Video Explanation
Explanatory Answer
What best can be concluded about the candidate from O&Q?
Video Explanation
Explanatory Answer
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.
Video Explanation
Explanatory Answer
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