Bissoy.com
Doctors Medicines MCQs Q&A

From a class, one-fourth opted to learn German; two-fifths of the remaining students chose Italian. Two-thirds of the remaining students decided to learn French and the rest Japanese. If 72 people decided to learn Japanese, how many of them opted for Italian?

From a class, one-fourth opted to learn German; two-fifths of the remaining students chose Italian. Two-thirds of the remaining students decided to learn French and the rest Japanese. If 72 people decided to learn Japanese, how many of them opted for Italian? Correct Answer 144

Let the total number students in the class be 200

According to question:

One-fourth opted to learn German

⇒ (1/4) × 200 = 50

⇒ 50 opted for German

Remaining students = (200 – 50) = 150

Two-fifths of the remaining students chose Italian

⇒ (2/5) × 150 = 60

⇒ 60 opted for Italian

Remaining students = (150 – 60) = 90

Two-thirds of the remaining students decided to learn French

⇒ (2/3) × 90 = 60

⇒ 60 opted for French

Remaining students = 90 – 60 = 30

30 students opted for Japanese

But in this question given, 72 students opted for Japanese

⇒ 30 units = 72 students

⇒ 1 unit = 72/30

⇒ 60 = (72/30) × 60 = 144

∴ 144 students opted for Italian

Related Questions

There are 21 persons and there are three languages - French German and Japanese. 10 persons speak German, 12 persons speak Japanese, and 10 persons speak French. 4 can speak only French and 5 can speak only Japanese. 4 can speak French as well as German. 3 persons can speak all languages. How many persons speak Japanese and German?
Out of 60 customers, 10 chose service 1 and 2, 15 chose service 2 and 3 and 5 chose service 1 and 3, 15 chose only service 2. 20 chose service 1, 35 chose service 2, and 30 chose service 3.  How many chose all the three services?
An international conference is attended by 65 people. They all speak at least one of English, French and German language. Suppose 15 speak English and French, 13 speak English and German, 12 speak French and German, and 5 speak all the three languages. A total of 30 people can speak German and 30 can speak French. What is the number of people who can speak only English
In the New Year’s party 500 were invited. 200 people opted for Indian food, 150 eaten Italian food and 100 people taken continental food. 14 people have taken both Indian and Italian food, 10 people have taken both Italian and continental food and 15 people have eaten both Indian and continental food. 6 people have taken all three kind of food. Find how many people have only Italian food?
In the New Year’s party 500 were invited. 200 people opted for Indian food, 150 eaten Italian food and 100 people took continental food. 14 people have taken only both Indian and Italian food, 10 people have taken only both Italian and continental food and 15 people have eaten only both Indian and continental food. 6 people have taken all three kind of food. Find how many people have not attended the party?
At a breakfast buffet, 89 people chose coffee for their beverage and 81 people chose juice for their beverage. 18 people chose both juice and coffee. If each person chose at least one of these beverages, then, how many people visited the buffet?
At a dinner buffet, 87 people chose strawberry mocktail and 53 people chose mojito. 25 people chose both strawberry mocktail and mojito. If each person chose at least one drink. How many people visited the buffet?
Four girls P, Q, R and S are studying languages in a University. P is learning French and Dutch. Q is learning Chinese and Japanese. R is learning Spanish and French. S is learning Dutch and Japanese. Given that: French is easier than Dutch; Chinese is harder than Japanese; Dutch is easier than Japanese, and Spanish is easier than French. Based on the above information, which girl is learning the most difficult pair of languages?
The color preferences of a group of girls were mapped and the results were as follows: 20 preferred pink, 16 preferred red and 14 preferred green. 5 preferred all the three colours. 9 of them chose Pink and Green. 7 of them chose Pink and Red. 8 of them chose Red and Green. How many girls chose only one colour?
At a party, there were a total of 60 people. They had two brands of drinks to choose from. Out of two drinks, 30 people chose the Pepsi brand, 16 chose both Pepsi and Coke brand. Find the number of people who chose coke, if each person chose at least one brand.