CAT Questions

Profit Loss

The manufacturer of a table sells it to a wholesale dealer at a profit of 10%. The wholesale dealer sells the table to a retailer at a profit of 30%. Finally, the retailer sells it to a customer at a profit of 50%. If the customer pays Rs 4290 for the table, then its manufacturing cost (in Rs) is

  1. 1500
  2. 2000
  3. 2500
  4. 3000

Profit Loss

Mayank buys some candies for Rs 15 a dozen and an equal number of different candies for Rs 12 a dozen. He sells all for Rs 16.50 a dozen and makes a profit of Rs 150. How many dozens of candies did he buy altogether?

  1. 50
  2. 30
  3. 25
  4. 45

Profit Loss

If a seller gives a discount of 15% on retail price, she still makes a profit of 2%. Which of the following ensures that she makes a profit of 20%?

  1. Give a discount of 5% on retail price
  2. Give a discount of 2% on retail price
  3. Increase the retail price by 2%
  4. Sell at retail price

Line Graph

Answer the questions on the basis of the data presented in the figure below.

 

1. During 1996-2002, the number of commodities that exhibited a net overall increase and net overall decrease, respectively, were

  1. 4 and 2
  2. 2 and 4
  3. 5 and 1
  4. 3 and 3

2. The number of commodities that experienced a price decline for two or more consecutive years is

  1. 2
  2. 3
  3. 4
  4. 5

3. For which commodities did a price increase immediately follow a price decline only once in this period?

  1. Rice, edible oil and dal
  2. Egg and onion
  3. Onion only
  4. Egg and dal

Line Graph

The length of an infant is one of the measures of his or her development in the early stages of his or her life. The figure below shows the growth chart of four infants in the first five months of life.

1. After which month did Seeta's rate of growth start to decline?

  1. Never
  2. Second month
  3. Third month
  4. Fourth month

2. Who grew at the fastest rate in the first two months of life?

  1. Shyam
  2. Geeta
  3. Ram
  4. Seeta

3. The rate of growth during the third month was the lowest for

  1. Ram
  2. Shyam
  3. Seeta
  4. Geeta

4. Among the four infants, who grew the least in the first five months of life?

  1. Shyam
  2. Ram
  3. Geeta
  4. Seeta

Bar Charts

Answer the questions on the basis of the following two charts.

Note: Availability is defined as production less export.

 

1. In which year during the period 1996-1999 was Chaidesh’s export of tea, as a proportion of tea produced, the highest?

  1. 1996
  2. 1997
  3. 1998
  4. 1999

2. In which of the following years was the population of Chaidesh the lowest?

  1. 1995
  2. 1996
  3. 1997
  4. 1999

3. The area under tea cultivation continuously decreased in all four years from 1996 to 1999, by 10%, 7%, 4%, and 1%, respectively. In which year was tea productivity (production per unit of area) the highest?

  1. 1996
  2. 1997
  3. 1998
  4. 1999

Bar Charts

Answer the questions on the basis of the data presented in the figure below.

 

1. Which of the following statements is correct?

  1. September rainfall exceeds 50 cm in each location.
  2. November rainfall exceeds 100 cm in each location.
  3. March rainfall is lower than September rainfall in each location.
  4. None of these

2. Locations 6 and 7 differ from all the rest because only in these two locations

  1. November rainfall is lower than March rainfall.
  2. Peak rainfall occurs in April.
  3. April rainfall is less than 200 cm.
  4. April rainfall exceeds March rainfall.

Bar Charts

The bar chart below shows the revenue received in million US Dollars (USD), from subscribers to a particular Internet service. The data covers the period 2008 to 2012 for the United States (US) and Europe. The bar chart also shows the estimated revenues from subscription to this service for the period 2013 to 2015.

 

1. The difference between the estimated subscription in Europe in 2013 and what it would have been if it were computed using the percentage growth rate of 2012 (over 2011), is closest to:

  1. 10
  2. 20
  3. 50
  4. 80

2. In 2008, sixty percent of subscribers in Europe were men. Given that women subscribers increase at the rate of 10 percent annum and men at the rate of 5 percent per annum, what is the approximate percentage growth of subscribers between 2008 and 2015 in Europe? The subscription prices are volatile and may change each year.

  1. 50
  2. 62
  3. 78
  4. 84

3. Consider the annual percent change in the gap between subscription revenues in the US and Europe. What is the year in which the absolute value of this change is the highest?

  1. 13-14
  2. 11-12
  3. 10-11
  4. 14-15

4. While the subscription in Europe has been growing steadily towards that of the US, the growth rate in Europe seems to be declining. Which of the following is closest to the percent change in growth rate of 2012 (over 2011) relative to the growth rate of 2010 (over 2009)?

  1. 60
  2. 20
  3. 17
  4. 35

Bar Charts

The bar graph given below shows the population (in lakhs) of two countries - Amberland and Marryland - in each year from 2004 to 2009.

1. For which two years was the percentage increase in the population of Marryland over the previous year the same?

  1. 2007 and 2009
  2. 2006 and 2008
  3. 2004 and 2007
  4. 2004 and 2005

2. If the percentage increase in the population of Amberland in 2010 over 2009 was the same as that in 2006 over 2005, then what was the population (in lakhs) of Amberland in the year 2010?

  1. 2040
  2. 1800
  3. 1760
  4. 1980

Mixed Graphs

Each point in the graph below shows the profit and turnover data for a company. Each company belongs to one of the three industries: textile, cement and steel.

 

1. For how many companies does the profit exceed 10% of turnover?

  1. 5
  2. 6
  3. 7
  4. 8

2. For how many steel companies with a turnover of more than 2000 is the profit than 300?

  1. 0
  2. 1
  3. 2
  4. 7

3. An investor wants to buy stock of only steel or cement companies with a turnover more than 1000 and profit exceeding 10% of turnover. How many choices are available to the investor?

  1. 4
  2. 5
  3. 6
  4. 7

Mixed Graphs

The data points in the figure below represent monthly income and expenditure data of individual members of four families - A, B, C and D. Savings is defined as

Savings = Income - Expenditure

 

1. Which family has the lowest average income?

  1. A
  2. B
  3. C

2. Which family has the highest average expenditure?

  1. A
  2. B
  3. C
  4. D

3. Which family has the lowest average savings?

  1. A
  2. B
  3. C
  4. D

4. The highest amount of savings accrues to a member of which family?

  1. A
  2. B
  3. C
  4. D

Mixed Graphs

The following sketch shows the pipelines carrying material from one location to another. Each location has a demand for material.

The demand at Vaishali is 400, at Jyotishmati is 400, at Panchal is 700, and at Vidisha is 200. Each arrow indicates the direction of material flow through the pipeline. The flow from Vaishali to Jyotishmati is 300. The quantity of material flow is such that the demands at all these locations are exactly met. The capacity of each pipeline is 1,000.

 

1. The quantity moved from Avanti to Vidisha is

  1. 1000
  2. 800
  3. 700 
  4. 200

2. The free capacity available at the Avanti-Vaishali pipeline is

  1. 0
  2. 100
  3. 200
  4. 300 

Mixed Graphs

The graph given below shows the statistics of 12 Cricket players. Each point on the graph indicates the average score per match of a player and the number of matches played by that player. Each of the players plays for one of the four teams - Team 1, Team 2, Team 3 and Team 4.

 

1. If only the runs scored by the above mentioned 12 players are considered, then which team has got the maximum aggregate score?

  1. Team 1
  2. Team 2
  3. Team 3
  4. Team 4

2. How many players are there who have played more than 200 matches and have scored less than 9,000 runs?

  1. 2
  2. 3
  3. 4
  4. 5

3. What is the overall average score of those players of Team 4, whose averages are better than the average of that player who has played the second highest number of matches for Team 3?

  1. 42.50
  2. 41.16
  3. 42.07
  4. 43.40 

Pie Charts

Chart 1 shows the distribution by value of top 6 suppliers of MFA Textiles. Chart 2 shows the distribution by quantity of top 6 suppliers of MFA Textiles. The total value is 5760 million Euro (European currency). The total quantity is 1.055 million tonnes.

1. The country which has the highest average price is

  1. India
  2. Switzerland
  3. Turkey
  4. USA

2. The average price in Euro per kilogram for Turkey is roughly

  1. 4.80
  2. 5.60
  3. 4.20
  4. 6.20

Pie Charts

A traveler spent some money in six different nations. The pie charts given below show the money spent in each of the nations as a percentage of the total money spent in that year. The money spent in China in the year 2007 was 75% less than the money spent in China in the year 2006. The money spent in India was same for the two years.

 

1. In the year 2007, what percentage of the total money spent by the traveler was spent in China?

  1. 4%
  2. 5%
  3. 6%
  4. 8%

2. If the money spent by the traveler in Britain, America and Africa together was 32 dollars more in 2006 than in 2007, then how much money (in dollars) was spent by the traveler in Australia in the year 2007?

  1. 120
  2. 96
  3. 80
  4. 64

Pie Charts

Study the following pie charts regarding to sales of 5 models of cars for the years 2010 and 2011, and answer the question

 

1. If the 2010 sales for all car models is 80,000 and these have grown by 25% in 2011, then what is the approximate increase in the number of Figo cars sold in 2011 over 2010?

  1. 2,200
  2. 4,500
  3. 4,860
  4. 12,200 

2. If the 2010 sales for all car models is 80,00 and these have grown by 25% in 2011, then how many models have grown more than the average growth rate for all the models taken together?

  1. 4
  2. 3
  3. 2
  4. 1

Bar Charts Pie Charts

The bar graph given below shows the total amount (in Rs. Crores) invested by five states of India - Punjab, Haryana, Gujarat, Kerala and Assam - in three fields - R&D, Education and Sports - in 2009 and 2010. The pie charts given below show the percentage break-up of the total investment (which also includes the three fields mentioned earlier) made by different states of India in 2009 and 2010.

 

1. In 2009, Kerala’s investment in R&D, Education and Sports was 56% of its total investments. In 2010, Haryana’s investment in R&D, Education and Sports was 15% of its total investments. What was the percentage change in the total investment made by the “Rest of the states” from 2009 to 2010?

  1. 22.22%
  2. 11.11%
  3. 9.09%
  4. 18.18% 

2. In both 2009 and 2010, one-third of the total amount invested by Gujarat and Assam together in R&D, Education and Sports was done in R&D. The investment in R&D by Gujarat and Assam together as a fraction of the total investment made by Gujarat and Assam together increases by 20% from 2009 to 2010. Find the ratio of the total investment made by all the states across the country in 2009 to that in 2010?

  1. 4 : 5
  2. 3 : 4
  3. 1 : 2
  4. 2 : 3

3. The investment made by Punjab in fields other than R&D, Education and Sports in 2010 was double of that made in 2009. What was the percentage change in the total investment made by all the states across the country from 2009 to 2010?

  1. 66.67%
  2. 33.33%
  3. 45%
  4. 20%

Line Graph Pie Charts

Bell Electronics sells only five products - Laptops, Desktops, Printers, Netbooks and Tablets. The pie chart given below shows the percentage contribution of each product in the total revenue of Rs. 500 crores generated by Bell Electronics in the fiscal year 2012-13.

 

For analyzing the data, the fiscal year 2012-13 was divided into four quarters (Qtr) of three months each. The line graph given below shows the quarter-wise percentage break-up of the total revenue generated by each product in the fiscal year 2012-13.

1. Which product generated the maximum revenue in the 3rd quarter of the fiscal year?

  1. Printers
  2. Laptops
  3. Desktops
  4. Tablets

2. In which quarter was the revenue generated by Laptops equal to the revenue generated by Desktops?

  1. 1st
  2. 2nd
  3. 3rd
  4. 4th

3. What was the ratio of the revenue generated by Printers in the 2nd quarter to the revenue generated by Laptops in the 4th quarter?

  1. 1 : 2
  2. 2 : 3
  3. 2 : 1
  4. 3 : 2

Tables

Expenditures of a company (in lakh rupees) per year over the given years:

Year Item of Expenditure
  Salary Transport Bonus Interest on Loan Taxes
2008 288 98 3.00 23.4 83
2009 342 112 2.52 32.5 108
2010 324 101 3.84 41.6 74
2011 336 133 3.68 36.4 88
2012 420 142 3.96 49.4 98

1. What is the average amount of interest per year which the company had to pay during this period?

  1. Rs. 34.18 lakhs
  2. Rs. 36.66 lakhs
  3. Rs. 33.72 lakhs
  4. Rs. 32.43 lakhs

2. The total amount of bonus paid by the company during the given period is approximately what percent of the total amount of salary paid during this period?

  1. 1%
  2. 1.25%
  3. 0.5%
  4. 0.1%

Tables

The table below provides certain demographic details of 30 respondents who were part of a survey. The demographic characteristics are: gender, number of children, and age of respondents. The first number in each cell is the number of respondents in that group. The minimum and maximum age of respondents in each group is given in brackets. For example, there are five female respondents with no children and among these five, the youngest is 34 years old, while the oldest is 49.

1. The percentage of respondents aged less than 40 years is at least

  1. 10%
  2. 20%
  3. 30%
  4. 16.67%

2. Given the information above, the percentage of respondents older than 35 can be at most

  1. 30%
  2. 73.33%
  3. 76.67%
  4. 90%

3. The percentage of respondents that fall into the 35 to 40 years age group (both inclusive) is at least

  1. 6.67%
  2. 10%
  3. 13.33%
  4. 26.67%

Tables

Spam that enters our electronic mailboxes can be classified under several spam heads. The following table shows the distribution of such spam worldwide over time. The total number of spam emails received during December 2002 was larger than the number received in June 2003. The total number of spam emails received during September 2002 was larger than the number received in March 2003. The figures in the table represent the percentage of all spam emails received during that period, falling into those respective categories.

1. In which category was the percentage of spam emails increasing but at a decreasing rate?

  1. Scams
  2. Financial
  3. Products
  4. Internet

2. In the health category, the number of spam emails received in December 2002 as compared to June 2003.

  1. was smaller
  2. was larger
  3. was equal
  4. cannot be determined

3. In the financial category, the number of spam emails received in September 2002 as compared to March 2003.

  1. was larger
  2. was smaller
  3. was equal
  4. cannot be determined

Line Graph Tables

In a country called XYZ, the number of patients changes every year. The graph given below shows the percentage change in the number of patients w.r.t. the previous year. The table given below shows the number of hospitals available in XYZ. The number of patients in 1999 were 2,00,000.

 

Year  Number of Hospitals
2000 4700
2001 4850
2002 5100
2003 5200
2004 5350
2005 5500
2006 5700

1. Find the year for which the Unhealthiness Index of XYZ was the maximum

  1. 2000
  2. 2003
  3. 2004
  4. 2006

2. In 2006, WHO launched a massive health improvement program in XYZ. As a result there was 30% reduction in the number of patients per year for the next two years and the number of hospitals in the country was also increased by 10% per year during the same period. Find the un-healthiness Index of XYZ for the year 2008.

  1. 21.3
  2. 15.4
  3. 19.8
  4. 13.9 

3. The Government of XYZ targets an Unhealthiness Index of 15 for the year 2007. By approximately what percent should the number of hospitals be increased in 2007 over the previous year if the number of patients in 2007 is expected to decrease by 40% over the previous year?

  1. 37%
  2. 34%
  3. 27%
  4. 47%

Tables

Study the paragraph below and answer the questions that follow:

Abdul has 8 factories, with different capacities, producing boutique kurtas. In the production process, he incurs raw material cost, selling cost (for packaging and transportation) and labour cost. These costs per kurta vary across factories. In all these factories, a worker takes 2 hours to produce a kurta. Profit per kurta is calculated by deducting raw material cost, selling cost and labour cost from the selling price (Profit = selling price - raw materials cost - selling cost - labour cost). Any other cost can be ignored.

Exhibit: Business Details of Abdul's 8 Factories

1. Which of the following options is in decreasing order of raw materials cost?

  1. Factory 3, Factory 4, Factory 7, Factory 5
  2. Factory 4, Factory 3, Factory 2, Factory 5
  3. Factory 6, Factory 3, Factory 5, Factory 7
  4. Factory 6, Factory 8, Factory 7, Factory 2
  5. Factory 8, Factory 3, Factory 2, Factory 4

2. Which of the factories listed in the options below has the lowest sales margin (sales margin = profit per kurta divided by selling price per kurta)?

  1. Factory 2
  2. Factory 4
  3. Factory 5
  4. Factory 6
  5. Factory 7

XAT Decision Making

Analyse the following caselet and answer the questions that follow:

Vimla is the domestic help for Shreya and her neighbour Padma; both live in a posh gated community. Vimla not only cleans the house, but also cooks for both the families. Shreya treasures Vimla ever since she joined her family four years ago. Vimla joined Padma’s household this year.

1. One evening Shreya trying to pay the pizza delivery was surprised to find a few five hundred rupee notes missing from her purse that she was sure were there earlier. She wants to ascertain if someone has stolen the money. On reflecting, the following facts crossed her mind:

  1. In the last one year, Shreya had noticed cash missing on three occasions.
  2. Shreya’s husband also shared that a few notes were missing from his wallet, though he was not sure if they were stolen.
  3. Her eldest son had been pestering Shreya for more pocket money for the last three weeks; in the last few days, he had stopped doing so.
  4. In the last one year, Vimla had received six mails from her family asking for money.
  5. Her eldest son’s expenditure had gone up in the last few days.

Which of the following combinations of the above statements would DECREASE the likelihood that Vimla has stolen the money?

  1. 1 and 3
  2. 1 and 4
  3. 1 and 5
  4. 2 and 4
  5. 3 and 5

2. Padma discovered some money missing from her purse. She suspects that Vimla has stolen it. She wants to prevent the stealing from happening again and is contemplating the following actions:

  1. She should let it pass, since to err is human.
  2. She should confront Vimla and tell her that she knows the truth and the act is unpardonable regardless of her past service and she is thinking of terminating her services.
  3. She should tell Vimla that she is aware someone has stolen money from the house but is not sure who it is.
  4. She should share with Vimla that neighbours think Vimla has stolen the money she doesn’t, but is interested in finding out the truth.
  5. She should directly ask Vimla if she stole the money, promising her no punishment if she confesses.

Arrange the following combinations of the above actions in the DECREASING order of appropriateness.

  1. 1, 5, 4
  2. 2, 4, 1
  3. 2, 5, 4
  4. 3, 5, 4
  5. 5, 2, 4

XAT Decision Making

Analyse the following caselet and answer the question that follows:

Genius Consulting is a boutique consulting firm started by Shirish, Balram, Rahman and Xavier, four friends from a premier business school. They committed themselves to abide by two principles: a) not to indulge in anything unethical and b) share earnings equally.

Genius Consulting could not get a significant project till the following year, when they managed a big one after Rahman’s father referred their firm to his top management. Convinced of the team’s talent following an impressive presentation, the top management awarded them the project even though six other referred teams made presentations.

The day following the presentations, they met to decide the way forward for the organization. Which of the following choices would be the most appropriate for Genius Consulting?

  1. As this project violates both their principles, Genius consulting should not take up the project.
  2. Due to the violation of the first principle Genius consulting should not take up this project.
  3. They should take up the project. Further, since Rahman had agreed to equal sharing, he is not entitled to finder’s fee.
  4. They should take up the project and as the referral helped them survive, Rahman should be paid finder’s fee.
  5. They should take up the project. But, in order not to violate the principles, Rahman can be paid finder’s fee this year and an equal amount be deducted from his compensation the next year.

XAT Decision Making

Analyse the following caselet and answer the questions that follow:

Mrs Biswas was to retire in one year after serving in the construction department of the Gujarat government for more than thirty years. After retirement, she wanted to spend her retired life along with Mr Biswas, a retired school teacher in a small town in Kerala. They had two children, both studying in Bengaluru. The Biswas’ wished to construct a house in Kerala with their life savings.

The couple gathered information about owning a house in Kerala. They had four options:

  1. Buy a fully furnished house from a big developer.
  2. Buy a semi-furnished house from big developer and furnish it.
  3. Get a local unregistered contractor to construct a house and furnish it.
  4. Mr Biswas with inputs from the family could supervise the construction of a house back in Kerala by employing the best material, engineers, masons and labourers.

1. Which option would ENSURE the best control of quality of construction for the Biswas’?

  1. The first option would ensure the best quality.
  2. The second option would ensure the best quality.
  3. The third option would ensure the best quality.
  4. The fourth option would ensure the best quality.
  5. Any of the options will equally ensure the best quality.

2. Which of the following additional information, IF TRUE, would improve the chances of the third option being preferred?

  1. Based on the current information, with no additional information, the third is the best option.
  2. Among local property holders, the contractor in the third option enjoys a good reputation.
  3. Big developers are less open to changes in design.
  4. Mr Biswas cannot stay back alone to supervise the construction.
  5. The Biswas’ want to select the furniture on their own.

XAT Decision Making

Analyse the following caselet and answer the questions that follow:

A pastor had eaten at restaurant with his troup of ten and his family. It is a norm to tip the waiter and about 20% of a waiter’s salary comes from these tips. However, while paying the bill, the pastor crossed out the automatic 18% tip charged for parties of more than eight and wrote “I give God 10% why do you get 18%?” above his signature. The chagrined waitress at the restaurant posted a photo of this on the social media. She was subsequently fired for violating company’s policy on customer privacy.

This would have been understandable if the restaurant had not posted just 2 weeks ago a customer receipt that was complimenting them. Social media and social activists came heavily upon the management’s ambivalent stand and the firing of the waitress. In response, the company posted a note on their social media page defending their actions. This quickly drew over 10,000 comments, mostly negative, to which the management started responding by posting the same note over and over again. There were also accusations of the company deleting negative comments and blocking users. The restaurant also experienced a sizable drop in their footfall.

1. Who/what is the main cause for the situation becoming unmanageable?

  1. The pastor for flouting the norm of restaurant.
  2. The waitress for violating customer privacy.
  3. The management for not taking action against the pastor.
  4. The management for giving out disproportionate punishment to waitress.
  5. The management for removing negative comments from the social media.

2. The downward spiral continued for the restaurant as the management persisted in defending their actions and argued with those who criticised them. By the following week, the original post had generated over 18,000 negative comments. Which of the following is the best way forward for the restaurant at this juncture?

  1. Unconditionally restore the waitress to her former position and salary on the ground that she was never at fault in the first place.
  2. Apologise to and reinstate the waitress and ask her to apologize for her breach of customer privacy and post both the apologies on social media.
  3. Reinstate the waitress provided she apologises for her breach of customer privacy and post that apology on the restaurant’s social media page.
  4. Reinstate the waitress if and only if she apologizes for her breach of customer privacy and posts that apology on her social media page.
  5. Recruit two waitress at a higher wage but stick to the original decision of firing the waitress.

XAT Decision Making

Analyse the following caselet and answer the questions that follow:

A college campus with a population of around 2,000 of whom 200 were children, 1,200 people between 15 and 45 years, 500 people between 45 and 65 and around 100 people more than 65 years of age. The campus has two big gates opening out to the city. There are 400 cars and 500 motorbikes inside the campus. The residents relied on these vehicles to visit the city located 10 kilometres away.

Now, with land within the campus becoming scarce, the chief administrator (CA) found the growing demand for parking lot difficult to handle. The faculty, staff and students wanted increased parking space. In the past six years, the parking requirement on campus had doubled. The CA found it inappropriate to construct parking lots from the students’ fee, even though those with vehicles may not complain about it.

Besides creating parking problems, the CA felt that these vehicles added to the pollution and made residents less responsible toward each other. The risk to the children and the elderly because of over-speeding was menacing. Therefore, the CA wanted to reduce the number of vehicles in the campus. Many faculty members, students and staff members, however, felt that demand for more parking space was natural as vehicles were required to go to the market, railway station, airport, and inter-state bus terminal all located in the city. They also told the CA that the elderly, sick and the toddlers relied only on these vehicles. After listening to all stakeholders, the CA wanted to solve these problems while ensuring the campus remained responsible and green.

1. Which of the following actions would best satisfy all the stakeholders within the campus?

  1. Levy extra fee on students to construct additional parking lots inside the campus. Students should pay for up-keep of the campus.
  2. Let all vehicles be parked in a college-managed space outside the campus while two battery operated vehicles handle exigencies inside the campus.
  3. Bring all stakeholders to the discussion table.
  4. To reduce carbon footprints, only pooled vehicles should be allowed to operate inside the campus.
  5. Charge significant fee from any vehicle entering or leaving the campus.

2. Which of the following would be the best option to increase revenue, decrease carbon footprint and still satisfy all the stakeholders in the campus?

  1. Make substantial collection from vehicles entering or leaving campus and construct a parking lot outside the campus.
  2. Levy extra fee on the students and build extra parking lots inside the campus.
  3. Bring all stakeholders to table and let them build consensus.
  4. To reduce the carbon footprint, only pooled vehicles be permitted on campus.
  5. Let all vehicles be parked in a managed space outside the campus while battery operated vehicles parked at the two gates can be use inside the campus.

XAT Decision Making

Analyse the following caselet and answer the questions that follow:

Girirajan an unemployed youngster from Kumbakonam, Tamilnadu, visited Singapore where his school friend worked as software engineer. In Singapore, Girirajan realized that there were a lot of Tamils in "Little India" area. He soon assessed that there were very few restaurants serving authentic Tamil food and decided to set-up a restaurant "Giri’s" in "Little India" serving authentic Tamil food in traditional banana leaf. Customers loved the food. Very soon word spread about the good quality food served in the traditional way. Girirajan expanded operation recruiting 10 employees, all Tamils.

Six months later, Girirajan realized that a lot of Kannadiga and Telugu customers started visiting the restaurant along with their Tamil friends. One day, a Kannadiga customer looking for Devangere Benne Dosa suggested that it may not be a bad idea for Girirajan to serve Karnataka and Andhra cuisines along with Tamil.

With time, the popularity of the restaurant kept soaring. As a result, a lot of Malays, Indonesians and Chinese started visiting the restaurant. His software engineer friend advised to cater to customers of all nationalities. Despite his desire to go grand, Girirajan realized he did not have enough money to get extra space anywhere in Singapore and banks were also reluctant to lend.

One day, while assessing the business, he realized that the restaurant had 90% occupancy rate during peak hours and 40% during the non-peak hours. Both figures were increasing with time.

1. Which of the following options would be most suitable for the growth of the business?

  1. Include Karnataka and Andhra cuisines in the menu.
  2. Include Indonesian and Chinese in the menu.
  3. Keep the focus on Tamil food only with an increased focus on quality improvement.
  4. Expand to include either Karnataka and Andhra cuisines or Indonesian and Chinese cuisines.
  5. Include Karnataka and Andhra cuisines as well as Indonesian and Chinese.

XAT Decision Making

Analyse the following caselete and answer the question that follows:

As a newly started organization in the IT sector, Saksha IT is a fast growing 400 employee organization. Its head, Saksha Kumar believes in building an organization driven by humility. Which of the following policies would best help him achieve that?

  1. Employees shall, in their annual evaluation form, be asked to acknowledge three of their shortcomings, overcoming which will make them better.
  2. Employees shall be asked to share with their peers three shortcomings they had noticed about their peers.
  3. The immediate superiors would suggest three shortcomings their subordinates have to work on in a given period.
  4. Everyone beginning with Saksha, shall be asked to share three of their weaknesses, in a public forum.
  5. Employees shall be asked to overcome three shortcomings in the following year. Improvement, if noticed would attract rewards.

XAT Decision Making

Analyse the following caselete and answer the question that follows:

Principal Maheshwari of BINK School of Management is facing a problem that calls for quick action. She received an anonymous mail one day, possibly from one of the students, complaining about outdated syllabi, medicore teachers and poor choice of courses on offer.

Which of the following is the best course of action available to the Principal?

  1. She should invite students to discuss any problem openly, one on one or in small groups, promise to act on them but firmly condemn the culture of anonymous mails.
  2. She should update the students about the efforts the institute is taking in sprucing up the syllabi, hiring talented faculty etc., but make no reference to the letter.
  3. She should convene a meeting of the faculty at the earliest and get them to work on updating the syllabi and also arrange a faculty development program but keep mum about the letter.
  4. She should convene a meeting of the faculty and talk about the letter as a symptom of a deeper malaise, ask them to update the syllabi and also organize a faculty development program.
  5. She should ignore the letter and not think about it at all.

CAT Logical Reasoning

Answer the questions on the basis of the information given below.

Seven varsity basketball players (A, B, C, D, E, F, and G) are to be honoured at a special luncheon. The players will be seated on the dais in a row. A and G have to leave the luncheon early and so must be seated at the extreme right. B will receive the most valuable player's trophy and so must be in the centre to facilitate presentation. C and D are bitter rivals and therefore must be seated as far apart as possible.

1. Which of the following cannot be seated at either end?

  1. F
  2. G
  3. C
  4. D

2. Which of the following pairs cannot be seated together?

  1. D & G
  2. C & F
  3. B & D
  4. E & A

CAT Logical Reasoning

Answer the questions on the basis of the information given below.

Anju, Bimla, Charu and Dimple stay in the same colony and study in different schools. Their schools are in North, South, East and West direction w.r.t. the colony in no particular order. Anju’s school and Bimla’s school are located in opposite directions while Dimple’s school is located 90° clockwise w.r.t. Bimla’s school. The distance of the four schools from the colony is 100 units, 150 units, 200 units and 250 units in no particular order. Dimple’s school is located in West. Anju’s school is not the one closest to the colony while Charu’s school is closer to the colony than Dimple’s school. The school located in South is farthest from the colony.

1. If the school located in North is closer to the colony than the school located in West, then who studies in the school located at a distance of 150 units from the colony?

  1. Bimla
  2. Charu
  3. Anju
  4. Dimple

2. If Anju’s school is the one located at a distance of 200 units from the colony, then how far from the colony is the school located in West?

  1. 100 units
  2. 150 units
  3. 200 units
  4. 250 units

CAT Logical Reasoning

Answer the questions on the basis of the information given below.

A jeweller has 8 beads which he wants to use in making a necklace. There are 3 different beads of Red color - Striped Red, Matt Red and Sparkling Red. Similarly, there are 3 different beads of Blue color - Striped Blue, Matt Blue and Sparkling Blue. The other two beads are Green and Yellow in color respectively.

The conditions given below must be followed while making the necklace.

  1. Striped Red and Striped Blue beads must always be put adjacent to each other.
  2. Green and Yellow beads must always be put adjacent to each other.
  3. No two beads of same color should be put adjacent to each other.

1. If none of the other two Red beads is to be put opposite the Striped Red bead then which of the following statements can be true?

  1. The Yellow bead is put opposite the Striped Blue bead.
  2. The Green bead is put opposite the Matt Red bead.
  3. The Yellow bead is put adjacent to the Striped Blue bead.
  4. The Yellow bead is put opposite the Matt Red bead.

2. If one of the other two Red beads is to be put opposite the Striped Red bead then which of the following statements can never be true?

  1. The Yellow bead is put opposite the Striped Blue bead and the Sparkling Red bead is put opposite the Sparkling Blue bead.
  2. The Yellow bead is put opposite the Matt Red bead and the Green bead is put opposite the Matt Blue bead.
  3. The Green bead is put opposite the Matt Red bead and the Yellow bead is put opposite the Matt Blue bead.
  4. The Yellow bead is put opposite the Striped Blue bead and the Green bead is put opposite the Sparkling Red bead.

CAT Logical Reasoning

Answer the questions on the basis of the information given below.

Four friends - Vikrant, Vikram, Jasneet and Saurabh - were born in four different months – January, March, July and December – of the same year, not necessarily in the same order. Each friend has a distinct surname among Joshi, Singh, Gupta and Agarwal, not necessarily in the same order. It is also known that:

  1. Vikrant is younger than Gupta.
  2. Jasneet was not born in December.
  3. Saurabh, who is not the youngest, was not born in March.
  4. Joshi is not the youngest and was also not born in January.
  5. Vikram was born before Vikrant but after Agarwal.
  6. Agarwal was not born in January.

1. Who among the four friends is the youngest?

  1. Vikram Gupta
  2. Vikrant Singh
  3. Vikrant Joshi
  4. Cannot be determined

2. Who among the four friends was born in March?

  1. Jasneet Agarwal
  2. Saurabh Gupta
  3. Vikram Gupta
  4. Cannot be determined

CAT Logical Reasoning

Answer the questions on the basis of the information given below.

Seven books, two each of Mathematics and Chemistry and three of Physics, are to be placed in order on a shelf. The two Mathematics books are of Algebra and Geometry, the two Chemistry books are of Organic and Inorganic and the three Physics books are of Kinetics, Thermodynamics and Electromagnetics.

The following conditions are to be kept in mind while placing the books:

  1. All the books of a subject must be placed together.
  2. The Chemistry books should be placed between Mathematics and Physics books.
  3. The Thermodynamics book must be placed before the Electromagnetics book.
  4. The Algebra book must be placed before the Geometry book.

1. If the Electromagnetics book is placed immediately before the Kinetics book, then which of the following statements may be true?

  1. The Geometry book is placed at the seventh position.
  2. The Thermodynamics book is placed at the second position.
  3. The Thermodynamics book is placed at the third position.
  4. The Geometry book is placed at the sixth position.

2. If a Chemistry book is placed adjacent to the Thermodynamics book, then which of the following statements must be false?

  1. The Electromagnetics book is placed before the Kinetics book.
  2. The Inorganic book is placed before the Thermodynamics book.
  3. The Kinetics book is placed before the Geometry book.
  4. The Kinetics book is placed before the Electromagnetics book.

CAT Logical Reasoning

Answer the questions on the basis of the information given below.

Four teams - Alveston, Blackpool, Chelsea and Dunstable - reached the semifinal stage in a football tournament. Two of the four teams played against each other in the first semifinal and the rest two played against each other in the second semifinal. The winners of these two matches played the final and the winner of the final match was declared the Champion of the tournament. The following observations were made during the semifinals and the final match:

  1. Ten goals were scored in the three matches. At least one goal was scored by each of the four teams. Each team scored a distinct number of goals.
  2. The team that scored the maximum number of goals in the three matches was not the Champion of the tournament.
  3. Alveston did not play against Blackpool but Chelsea played against Dunstable.
  4. Neither Blackpool nor Dunstable was the Champion of the tournament. The absolute difference between the total goals scored by these two teams in the three matches was 2.

1. How many goals were scored in the final match of the tournament?

  1. 1
  2. 2
  3. 3
  4. 4

2. How many goals did the Champion of the tournament score in its semifinal match?

  1. 1
  2. 2
  3. 3
  4. 4

CAT Logical Reasoning

Answer the questions on the basis of the information given below.

A, B, C, D, E, and F are a group of friends. There are two housewives, one professor, one engineer, one accountant and one lawyer in the group. There are only two married couples in the group. The lawyer is married to D, who is a housewife. No woman in the group is either an engineer or an accountant. C, the accountant, is married to F, who is a professor. A is married to a housewife. E is not a housewife.

1. Which of the following is one of the married couples?

  1. A & D
  2. D & E
  3. B & E
  4. A & B

2. What is E's profession?

  1. Professor
  2. Engineer
  3. Lawyer
  4. Accountant

3. How many members of the group are males?

  1. 1
  2. 2
  3. 3
  4. 4

CAT Logical Reasoning

Healthy Bites is a fast food joint serving three items: burgers, fries and ice cream. It has two employees Anish and Bani who prepare the items ordered by the clients. Preparation time is 10 minutes for a burger and 2 minutes for an order of ice cream. An employee can prepare only one of these items at a time. The fries are prepared in an automatic fryer which can prepare up to 3 portions of fries at a time, and takes 5 minutes irrespective of the number of portions. The fryer does not need an employee to constantly attend to it, and we can ignore the time taken by an employee to start and stop the fryer; thus, an employee can be engaged in preparing other items while the frying is on. However fries cannot be prepared in anticipation of future orders.

CAT Logical Reasoning

A study to look at the early leaming of rural kids was carried out in a number of villages spanning three states, chosen from the North East (NE), the West (W) and the South (S). 50 four-year old kids each were sampled from each of the 150 villages from NE, 250 villages from W arid 200 villages from S. It was found that of the 30000 surveyed kids 55% studied in primary schools run by government (G), 37% in private schools (P) white the remaining 8% did not go to school (O).

CAT Logical Reasoning

Applicants for the doctoral programmes of Ambi Institute of Engineering (AIE) and Bambi Institute of Engineering (BIE) have to appear for a Common Entrance Test (CET). The test has three sections: Physics (P), Chemistry (C), and Maths (M). Among those appearing for CET, those at or above the 80th percentile in at least two sections, and at or above the 90th percentile overall, are selected for Advanced Entrance Test (AET) conducted by AIE. AET is used by AIE for final selection.

CAT Logical Reasoning

There are 21 employees working in a division, out of whom 10 are special-skilled employees (SE) and the remaining are regular skilled employees (RE). During the next five months, the division has to complete five projects every month. Out of the 25 projects, 5 projects are "challenging", while the remaining ones are "standard". Each of the challenging projects has to be completed in different months. Every month, five teams - T1, T2, T3, T4 and T5, work on one project each. T1, T2, T3, T4 and T5 are allotted the challenging project in the first, second, third, fourth and fifth month, respectively. The team assigned the challenging project has one more employee than the rest.

CAT Logical Reasoning

In a square layout of size 5m × 5m, 25 equal sized square platforms of different heights are built. The heights (in metres) of individual platforms are as shown below:

6 1 2 4 3
9 5 3 2 8
7 8 4 6 5
3 9 5 1 2
1 7 6 3 9

CAT Logical Reasoning

A new airlines company is planning to start operations in a country. The company has identified ten different cities which they plan to connect through their network to start with. The flight duration between any pair of cities will be less than one hour. To start operations, the company has to decide on a daily schedule.

The underlying principle that they are working on is the following:

Any person staying in any of these 10 cities should be able to make a trip to any other city in the morning and should be able to return by the evening of the same day.

CAT Logical Reasoning

Four cars need to travel from Akala (A) to Bakala (B). Two routes are available, one via Mamur (M) and the other via Nanur (N). The roads from A to M, and from N to B, are both short and narrow. In each case, one car takes 6 minutes to cover the distance, and each additional car increases the travel time per car by 3 minutes because of congestion. (For example, if only two cars drive from A to M, each car takes 9 minutes.) On the road from A to N, one car takes 20 minutes, and each additional car increases the travel time per car by 1 minute. On the road from M to B, one car takes 20 minutes, and each additional car increases the travel time per car by 0.9 minute.

CAT Logical Reasoning

Funky Pizzaria was required to supply pizzas to three different parties. The total number of pizzas it had to deliver was 800, 70% of which were to be delivered to Party 3 and the rest equally divided between Party 1 and Party 2.

Pizzas could be of Thin Crust (T) or Deep Dish (D) variety and come in either Normal Cheese (NC) or Extra Cheese (EC) versions. Hence, there are four types of pizzas: T-NC, T-EC, D-NC and D-EC. Partial information about proportions of T and NC pizzas ordered by the three parties is given below:

CAT Logical Reasoning

There were seven elective courses - E1 to E7 - running in a specific term in a college. Each of the 300 students enrolled had chosen just one elective from among these seven. However, before the start of the term, E7 was withdrawn as the instructor concerned had left the college. The students who had opted for E7 were allowed to join any of the remaining electives. Also, the students who had chosen other electives were given one chance to change their choice. The table below captures the movement of the students from one elective to another during this process. Movement from one elective to the same elective simply means no movement. Some numbers in the table got accidentally erased; however, it is known that these were either 0 or 1.

CAT Logical Reasoning

An old woman had the following assets:

  1. Rs. 70 lakh in bank deposits
  2. 1 house worth Rs. 50 lakh
  3. 3 flats, each worth Rs. 30 lakh
  4. Certain number of gold coins, each worth Rs. 1 lakh

She wanted to distribute her assets among her three children; Neeta, Seeta and Geeta.

The house, any of the flats or any of the coins were not to be split. That is, the house went entirely to one child; a flat went to one child and similarly, a gold coin went to one child.

CAT Logical Reasoning

At a management school, the oldest 10 dorms, numbered 1 to 10, need to be repaired urgently, The following diagram represents the estimated repair costs (in Rs. Crores) for the 10 dorms. For any dorm, the estimated repair cost (in Rs. Crores) is an integer. Repairs with estimated cost Rs. 1 or 2 Crores are considered light repairs, repairs with estimated cost Rs. 3 or 4 are considered moderate repairs and repairs with estimated cost Rs. 5 or 6 Crores are considered extensive repairs.

CAT Logical Reasoning

A tea taster was assigned to rate teas from six different locations - Munnar, Wayanad, Ooty, Darjeeling, Assam and Himachal. These teas were placed in six cups, numbered 1 to 6, not necessarily in the same order. The tea taster was asked to rate these teas on the strength of their flavour on a scale of 1 to 10. He gave a unique integer rating to each tea. Some other information is given below: