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Directions: In the following questions are to be based on the details given below :
In a city of 300 people, 180 speak French. 20 people speak only Italian while 190 people don’t know Italian at all. 110 people speak exactly two languages and 60 people know both English and French. 30 people know only French and Italian.
Q. How many people speak all three languages?
- a)10
- b)20
- c)30
- d)40
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Directions:In the following questions are to be based on the details g...
We represent the whole scenario as a Venn diagram.
Now according to the question:
Total population = a + b + c + d + e + f + g = 300.
People who speak French = a + b + d + e = 180.
People who only speak Italian = c = 20.
People who don’t know Italian = a + d + g = 190. Hence people who know Italian = b + c + e + f = 300 - 190 = 110.
People who speak exactly two languages = b + d + f = 110.
People who know both French and English = d + e = 60.
People who know only French and Italian = b = 30.
Since b + c + e + f = 110 and c = 20, then b + e + f = 90.
Now, b + e + f = 90 and b + d + f = 110. Subtracting, we get d - e = 20. Also, d + e = 60. Solving, we get d = 40 and e = 20.
Now, b = 30, d = 40, e = 20 and a + b + d + e = 180. Solving, we get a = 90.
Now b + d + f = 110, b = 30 and d = 40, hence f = 40.
Finally, g = 300 – (a + b + c + d + e + f) = 60.
Hence French is spoken by (a + b + d + e) = 180 people.
English is spoken by (d + e + f + g) = 160 people.
Italian is spoken by 110 people.
Hence 20 people speak all three languages.
Most Upvoted Answer
Directions:In the following questions are to be based on the details g...
Speak both French and Italian.
1. How many people speak only French?
- To find the number of people who speak only French, we need to subtract the number of people who speak both French and Italian from the total number of French speakers.
- Total French speakers = 180
- French speakers who also speak Italian = 190
- People who speak only French = Total French speakers - French speakers who also speak Italian
- People who speak only French = 180 - 190 = -10
- Since the result is negative, it means that there is an error in the given information, as it is not possible for the number of people who speak only French to be negative.
2. How many people speak both French and Italian?
- The given information states that 190 people speak both French and Italian.
3. How many people speak only Italian?
- To find the number of people who speak only Italian, we need to subtract the number of people who speak both French and Italian from the total number of Italian speakers.
- Total Italian speakers = 20
- People who speak both French and Italian = 190
- People who speak only Italian = Total Italian speakers - People who speak both French and Italian
- People who speak only Italian = 20 - 190 = -170
- Since the result is negative, it means that there is an error in the given information, as it is not possible for the number of people who speak only Italian to be negative.
4. How many people speak at least one of the two languages?
- To find the number of people who speak at least one of the two languages, we need to add the number of people who speak only French, the number of people who speak only Italian, and the number of people who speak both French and Italian.
- People who speak only French = -10 (as calculated in question 1)
- People who speak only Italian = -170 (as calculated in question 3)
- People who speak both French and Italian = 190
- People who speak at least one of the two languages = People who speak only French + People who speak only Italian + People who speak both French and Italian
- People who speak at least one of the two languages = -10 + (-170) + 190 = 10
- The number of people who speak at least one of the two languages is 10.
1. How many people speak only French?
- To find the number of people who speak only French, we need to subtract the number of people who speak both French and Italian from the total number of French speakers.
- Total French speakers = 180
- French speakers who also speak Italian = 190
- People who speak only French = Total French speakers - French speakers who also speak Italian
- People who speak only French = 180 - 190 = -10
- Since the result is negative, it means that there is an error in the given information, as it is not possible for the number of people who speak only French to be negative.
2. How many people speak both French and Italian?
- The given information states that 190 people speak both French and Italian.
3. How many people speak only Italian?
- To find the number of people who speak only Italian, we need to subtract the number of people who speak both French and Italian from the total number of Italian speakers.
- Total Italian speakers = 20
- People who speak both French and Italian = 190
- People who speak only Italian = Total Italian speakers - People who speak both French and Italian
- People who speak only Italian = 20 - 190 = -170
- Since the result is negative, it means that there is an error in the given information, as it is not possible for the number of people who speak only Italian to be negative.
4. How many people speak at least one of the two languages?
- To find the number of people who speak at least one of the two languages, we need to add the number of people who speak only French, the number of people who speak only Italian, and the number of people who speak both French and Italian.
- People who speak only French = -10 (as calculated in question 1)
- People who speak only Italian = -170 (as calculated in question 3)
- People who speak both French and Italian = 190
- People who speak at least one of the two languages = People who speak only French + People who speak only Italian + People who speak both French and Italian
- People who speak at least one of the two languages = -10 + (-170) + 190 = 10
- The number of people who speak at least one of the two languages is 10.
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Directions:In the following questions are to be based on the details given below :In a city of 300 people, 180 speak French. 20 people speak only Italian while 190 people don’t know Italian at all. 110 people speak exactly two languages and 60 people know both English and French. 30 people know only French and Italian.Q. How many people speak all three languages?a)10b)20c)30d)40Correct answer is option 'B'. Can you explain this answer?
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Directions:In the following questions are to be based on the details given below :In a city of 300 people, 180 speak French. 20 people speak only Italian while 190 people don’t know Italian at all. 110 people speak exactly two languages and 60 people know both English and French. 30 people know only French and Italian.Q. How many people speak all three languages?a)10b)20c)30d)40Correct answer is option 'B'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Directions:In the following questions are to be based on the details given below :In a city of 300 people, 180 speak French. 20 people speak only Italian while 190 people don’t know Italian at all. 110 people speak exactly two languages and 60 people know both English and French. 30 people know only French and Italian.Q. How many people speak all three languages?a)10b)20c)30d)40Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions:In the following questions are to be based on the details given below :In a city of 300 people, 180 speak French. 20 people speak only Italian while 190 people don’t know Italian at all. 110 people speak exactly two languages and 60 people know both English and French. 30 people know only French and Italian.Q. How many people speak all three languages?a)10b)20c)30d)40Correct answer is option 'B'. Can you explain this answer?.
Directions:In the following questions are to be based on the details given below :In a city of 300 people, 180 speak French. 20 people speak only Italian while 190 people don’t know Italian at all. 110 people speak exactly two languages and 60 people know both English and French. 30 people know only French and Italian.Q. How many people speak all three languages?a)10b)20c)30d)40Correct answer is option 'B'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Directions:In the following questions are to be based on the details given below :In a city of 300 people, 180 speak French. 20 people speak only Italian while 190 people don’t know Italian at all. 110 people speak exactly two languages and 60 people know both English and French. 30 people know only French and Italian.Q. How many people speak all three languages?a)10b)20c)30d)40Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions:In the following questions are to be based on the details given below :In a city of 300 people, 180 speak French. 20 people speak only Italian while 190 people don’t know Italian at all. 110 people speak exactly two languages and 60 people know both English and French. 30 people know only French and Italian.Q. How many people speak all three languages?a)10b)20c)30d)40Correct answer is option 'B'. Can you explain this answer?.
Solutions for Directions:In the following questions are to be based on the details given below :In a city of 300 people, 180 speak French. 20 people speak only Italian while 190 people don’t know Italian at all. 110 people speak exactly two languages and 60 people know both English and French. 30 people know only French and Italian.Q. How many people speak all three languages?a)10b)20c)30d)40Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Railways.
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