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There is a group of 80 persons who can drive scooter or car or both. Out of these, 35 can can drive car. Find how many can drive both scooter and car? How many can drive scooter only? How many can drive car only?
Most Upvoted Answer
There is a group of 80 persons who can drive scooter or car or both. O...
There are 35 people who can drive a car. Out of the 80 people, 35 can drive a car and some number of them can drive a scooter. This means that there are at least 35 people who can drive either a car or a scooter (or both). Therefore, there are 80 - 35 = <<80-35=45>>45 people who can drive either a scooter or both a scooter and a car.
We can set up the following equation to represent the information given:
s + c = 45
Where s represents the number of people who can drive a scooter, and c represents the number of people who can drive a car.
We know that c = 35, so we can substitute this into the equation to get:
s + 35 = 45
Solving for s, we find that s = 45 - 35 = 10. Therefore, there are 10 people who can drive a scooter.
To find the number of people who can drive both a scooter and a car, we need to subtract the number of people who can drive a scooter only from the number of people who can drive either a scooter or both a scooter and a car. There are 45 people who can drive either a scooter or both a scooter and a car, and 10 of them can drive a scooter only, so there must be 45 - 10 = 35 people who can drive both a scooter and a car.
To summarize, there are 35 people who can drive a car only, 10 people who can drive a scooter only, and 35 people who can drive both a scooter and a car.
Community Answer
There is a group of 80 persons who can drive scooter or car or both. O...
Given information:
- Total number of persons = 80
- Number of persons who can drive car = 35
To find:
- Number of persons who can drive both scooter and car
- Number of persons who can drive scooter only
- Number of persons who can drive car only
Solution:
To solve this problem, we can use the concept of sets and Venn diagrams.
Step 1: Understanding the Venn diagram
Let's assume that the universal set U represents the group of 80 persons who can drive scooter or car or both. We can divide this set into three subsets, C (representing persons who can drive car), S (representing persons who can drive scooter), and B (representing persons who can drive both scooter and car).
Step 2: Using the given information
We are given that the number of persons who can drive car is 35. Therefore, the number of elements in set C is 35.
Step 3: Calculating the number of persons who can drive both scooter and car
To find the number of elements in set B (persons who can drive both scooter and car), we can subtract the number of elements in set C from the total number of elements in the universal set U.
Number of persons who can drive both scooter and car = Total number of persons - Number of persons who can drive car
= 80 - 35
= 45
Step 4: Calculating the number of persons who can drive scooter only
To find the number of elements in set S (persons who can drive scooter only), we can subtract the number of elements in set B from the total number of elements in set S.
Number of persons who can drive scooter only = Total number of persons - Number of persons who can drive both scooter and car
= 80 - 45
= 35
Step 5: Calculating the number of persons who can drive car only
To find the number of elements in set C (persons who can drive car only), we can subtract the number of elements in set B from the total number of elements in set C.
Number of persons who can drive car only = Number of persons who can drive car - Number of persons who can drive both scooter and car
= 35 - 45
= -10
Conclusion:
- Number of persons who can drive both scooter and car = 45
- Number of persons who can drive scooter only = 35
- Number of persons who can drive car only = -10
Note: The negative value for the number of persons who can drive car only indicates that there is an overlap between the sets C and B, i.e., some persons can drive both scooter and car.
- Total number of persons = 80
- Number of persons who can drive car = 35
To find:
- Number of persons who can drive both scooter and car
- Number of persons who can drive scooter only
- Number of persons who can drive car only
Solution:
To solve this problem, we can use the concept of sets and Venn diagrams.
Step 1: Understanding the Venn diagram
Let's assume that the universal set U represents the group of 80 persons who can drive scooter or car or both. We can divide this set into three subsets, C (representing persons who can drive car), S (representing persons who can drive scooter), and B (representing persons who can drive both scooter and car).
Step 2: Using the given information
We are given that the number of persons who can drive car is 35. Therefore, the number of elements in set C is 35.
Step 3: Calculating the number of persons who can drive both scooter and car
To find the number of elements in set B (persons who can drive both scooter and car), we can subtract the number of elements in set C from the total number of elements in the universal set U.
Number of persons who can drive both scooter and car = Total number of persons - Number of persons who can drive car
= 80 - 35
= 45
Step 4: Calculating the number of persons who can drive scooter only
To find the number of elements in set S (persons who can drive scooter only), we can subtract the number of elements in set B from the total number of elements in set S.
Number of persons who can drive scooter only = Total number of persons - Number of persons who can drive both scooter and car
= 80 - 45
= 35
Step 5: Calculating the number of persons who can drive car only
To find the number of elements in set C (persons who can drive car only), we can subtract the number of elements in set B from the total number of elements in set C.
Number of persons who can drive car only = Number of persons who can drive car - Number of persons who can drive both scooter and car
= 35 - 45
= -10
Conclusion:
- Number of persons who can drive both scooter and car = 45
- Number of persons who can drive scooter only = 35
- Number of persons who can drive car only = -10
Note: The negative value for the number of persons who can drive car only indicates that there is an overlap between the sets C and B, i.e., some persons can drive both scooter and car.
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There is a group of 80 persons who can drive scooter or car or both. Out of these, 35 can can drive car. Find how many can drive both scooter and car? How many can drive scooter only? How many can drive car only? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about There is a group of 80 persons who can drive scooter or car or both. Out of these, 35 can can drive car. Find how many can drive both scooter and car? How many can drive scooter only? How many can drive car only? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There is a group of 80 persons who can drive scooter or car or both. Out of these, 35 can can drive car. Find how many can drive both scooter and car? How many can drive scooter only? How many can drive car only?.
There is a group of 80 persons who can drive scooter or car or both. Out of these, 35 can can drive car. Find how many can drive both scooter and car? How many can drive scooter only? How many can drive car only? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about There is a group of 80 persons who can drive scooter or car or both. Out of these, 35 can can drive car. Find how many can drive both scooter and car? How many can drive scooter only? How many can drive car only? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There is a group of 80 persons who can drive scooter or car or both. Out of these, 35 can can drive car. Find how many can drive both scooter and car? How many can drive scooter only? How many can drive car only?.
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