Logical Reasoning (LR) – Venn Diagrams

Directions for questions 1 to 5: Answer the following questions based on the information given below.

A radio station conducted a survey to find out the preference of its listeners. A total of 115 listeners liked rock music, 120 listeners liked jazz, while 145 people liked listening to Indian classical music Among these, 64 listeners liked only rock and jazz music, 25 liked listening to only rock music and Indian classical, while 11 liked only Indian classical and Jazz. There were 25 listeners who liked all three types of music A total of 250 people were surveyed.

Q.1. How many listeners liked rock music only?

Directions for questions 1 to 5: Answer the following questions based on the information given below.

A radio station conducted a survey to find out the preference of its listeners. A total of 115 listeners liked rock music, 120 listeners liked jazz, while 145 people liked listening to Indian classical music Among these, 64 listeners liked only rock and jazz music, 25 liked listening to only rock music and Indian classical, while 11 liked only Indian classical and Jazz. There were 25 listeners who liked all three types of music A total of 250 people were surveyed.

Q.2. How many listeners liked at least two forms of music?

Directions for questions 1 to 5: Answer the following questions based on the information given below.

A radio station conducted a survey to find out the preference of its listeners. A total of 115 listeners liked rock music, 120 listeners liked jazz, while 145 people liked listening to Indian classical music Among these, 64 listeners liked only rock and jazz music, 25 liked listening to only rock music and Indian classical, while 11 liked only Indian classical and Jazz. There were 25 listeners who liked all three types of music A total of 250 people were surveyed.

Q.3. How many listeners liked Indian classical or jazz but not rock music?

Directions for questions 1 to 5: Answer the following questions based on the information given below.

A radio station conducted a survey to find out the preference of its listeners. A total of 115 listeners liked rock music, 120 listeners liked jazz, while 145 people liked listening to Indian classical music Among these, 64 listeners liked only rock and jazz music, 25 liked listening to only rock music and Indian classical, while 11 liked only Indian classical and Jazz. There were 25 listeners who liked all three types of music A total of 250 people were surveyed.

Q.4. How many people surveyed did not like listening to any of the three forms of music?

Directions for questions 1 to 5: Answer the following questions based on the information given below.

A radio station conducted a survey to find out the preference of its listeners. A total of 115 listeners liked rock music, 120 listeners liked jazz, while 145 people liked listening to Indian classical music Among these, 64 listeners liked only rock and jazz music, 25 liked listening to only rock music and Indian classical, while 11 liked only Indian classical and Jazz. There were 25 listeners who liked all three types of music A total of 250 people were surveyed.

Q.5. How many listeners liked exactly one of the three forms of music?

Directions for questions 6 to 10: Answer the following questions based on the Information given below.

In a survey conducted at a University, it was found that 51% of the students wanted to learn French as a foreign language, 48% wanted to learn German and 52% wanted to learn Russian. Of the surveyed students, 21% wanted to learn both French and German, 23% wanted to learn both German and Russian and 24% wanted to learn both French and Russian. Only 12% wanted to learn all three languages. A total of 500 students were surveyed.

Q.1. How many students wanted to learn only German?

Directions for questions 6 to 10: Answer the following questions based on the Information given below.

In a survey conducted at a University, it was found that 51% of the students wanted to learn French as a foreign language, 48% wanted to learn German and 52% wanted to learn Russian. Of the surveyed students, 21% wanted to learn both French and German, 23% wanted to learn both German and Russian and 24% wanted to learn both French and Russian. Only 12% wanted to learn all three languages. A total of 500 students were surveyed.

Q.2. What is the number of students interested in French and Russian only?

Directions for questions 6 to 10: Answer the following questions based on the Information given below.

In a survey conducted at a University, it was found that 51% of the students wanted to learn French as a foreign language, 48% wanted to learn German and 52% wanted to learn Russian. Of the surveyed students, 21% wanted to learn both French and German, 23% wanted to learn both German and Russian and 24% wanted to learn both French and Russian. Only 12% wanted to learn all three languages. A total of 500 students were surveyed.

Q.3. How many students who wanted to learn French or Russian did not want to learn German?

Directions for questions 6 to 10: Answer the following questions based on the Information given below.

In a survey conducted at a University, it was found that 51% of the students wanted to learn French as a foreign language, 48% wanted to learn German and 52% wanted to learn Russian. Of the surveyed students, 21% wanted to learn both French and German, 23% wanted to learn both German and Russian and 24% wanted to learn both French and Russian. Only 12% wanted to learn all three languages. A total of 500 students were surveyed.

Q. 4. How many students were not interested in studying any of the languages?

Directions for questions 6 to 10: Answer the following questions based on the Information given below.

In a survey conducted at a University, it was found that 51% of the students wanted to learn French as a foreign language, 48% wanted to learn German and 52% wanted to learn Russian. Of the surveyed students, 21% wanted to learn both French and German, 23% wanted to learn both German and Russian and 24% wanted to learn both French and Russian. Only 12% wanted to learn all three languages. A total of 500 students were surveyed.

Q.5. What is the ratio of the number of students interested in exactly two languages to those interested in only one language?

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