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The following table represents the type(s) of vehicle(s) owned by people of 5 cities.




So, in Hyderabad, there are a total of 897 people, some of whom might not own any type of vehicle. 61 people own a private jet, 131 people own a 4-wheeler, 707 people own a bike and x people own a scooter. Similarly, the other cities follow. Also, no person owns more than one vehicle of a particular type.

Based on the information given above, answer the questions that follow.

If the total number of bikes in all 5 cities combined is 2816, what is the maximum possible number of people in Chennai who own at least 3 vehicles? It is known that all people in Chennai own at least one vehicle.

Correct answer is '388'. Can you explain this answer?
Most Upvoted Answer
The following table represents the type(s) of vehicle(s) owned by peop...
We can easily find the value of z as 364.
Now we have to apply some mental calculation as
All people in Chennai have atleast one vehicle and total peoples are 1034 that means so by seeing stats less number of them buys bike and private jets and these will be the one who might have other two vehicles as well .

so what i thought of simply adding these two as 364+24=388.
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Community Answer
The following table represents the type(s) of vehicle(s) owned by peop...
Bike owners in Chennai = 2816 – 707 – 971 – 432 – 342 = 364.
To own at least 3 vehicles, one can own either 3 or 4 vehicles.
I + II + III + IV = 1034
I + 2 II + 3 III + 4 IV = 1987
The difference has to be adjusted among people owning 2, 3 and 4 vehicles. To maximise the sum of people owning 3 and 4 vehicles, we will try to allocate the maximum possible to 3 and the remaining to 4.
1987 – 1034 = 953
2III + 3IV = 953.
III = 475
IV = 1
But, if we observe the values for Chennai, the number of people having a bike is 364 and the number of people having a private jet is 24. Hence, even if we consider that people who own a bike also own a 4-wheeler and a scooter(but not a private jet) and people who own a private jet also own a 4-wheeler and a scooter(but not a bike), we won’t be able to reach the above numbers. We would be able to achieve a maximum value of 24 + 364 = 388.
Let us verify if we can represent the above condition in a 4-set Venn Diagram.
Now, we need to arrange the remaining people who own a 4-wheeler and those who own a scooter.
I + II + III + IV = 1034
IV = 0, because we have already assigned all people who own a Private jet and a bike into III.
III = 388.
I + II = 1034 – 388 = 646
I + 2II + 3III + 4IV = 1987
I + 2II + 3 X 388 = 1987
I + 2II = 823
II = 823 – 646 = 177
I = 469
Hence, we get the following Venn Diagram:

Hence, maximum people who own 3 vehicles = 388.
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The following table represents the type(s) of vehicle(s) owned by people of 5 cities.So, in Hyderabad, there are a total of 897 people, some of whom might not own any type of vehicle. 61 people own a private jet, 131 people own a 4-wheeler, 707 people own a bike and x people own a scooter. Similarly, the other cities follow. Also, no person owns more than one vehicle of a particular type.Based on the information given above, answer the questions that follow.If the total number of bikes in all 5 cities combined is 2816, what is the maximum possible number of people in Chennai who own at least 3 vehicles? It is known that all people in Chennai own at least one vehicle.Correct answer is '388'. Can you explain this answer?
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The following table represents the type(s) of vehicle(s) owned by people of 5 cities.So, in Hyderabad, there are a total of 897 people, some of whom might not own any type of vehicle. 61 people own a private jet, 131 people own a 4-wheeler, 707 people own a bike and x people own a scooter. Similarly, the other cities follow. Also, no person owns more than one vehicle of a particular type.Based on the information given above, answer the questions that follow.If the total number of bikes in all 5 cities combined is 2816, what is the maximum possible number of people in Chennai who own at least 3 vehicles? It is known that all people in Chennai own at least one vehicle.Correct answer is '388'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The following table represents the type(s) of vehicle(s) owned by people of 5 cities.So, in Hyderabad, there are a total of 897 people, some of whom might not own any type of vehicle. 61 people own a private jet, 131 people own a 4-wheeler, 707 people own a bike and x people own a scooter. Similarly, the other cities follow. Also, no person owns more than one vehicle of a particular type.Based on the information given above, answer the questions that follow.If the total number of bikes in all 5 cities combined is 2816, what is the maximum possible number of people in Chennai who own at least 3 vehicles? It is known that all people in Chennai own at least one vehicle.Correct answer is '388'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The following table represents the type(s) of vehicle(s) owned by people of 5 cities.So, in Hyderabad, there are a total of 897 people, some of whom might not own any type of vehicle. 61 people own a private jet, 131 people own a 4-wheeler, 707 people own a bike and x people own a scooter. Similarly, the other cities follow. Also, no person owns more than one vehicle of a particular type.Based on the information given above, answer the questions that follow.If the total number of bikes in all 5 cities combined is 2816, what is the maximum possible number of people in Chennai who own at least 3 vehicles? It is known that all people in Chennai own at least one vehicle.Correct answer is '388'. Can you explain this answer?.
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