In a class of 120 students 70 like to play volleyball, 60 like to play hockey and 60 like to play cricket. The number of students playing all three games is 20.No student who plays both volleyball and cricket hates hockey whereas there are 30 students who like to play both volleyball and hockey and 30 students who like to play hockey and cricket. Find the ratio of the number of students playing only volleyball to the number of students playing only hockey?

- a)2:1
- b)3:1
- c)4:3
- d)1:2

Correct answer is option 'A'. Can you explain this answer?

3 Answers

Sahil Chauhan
answered
4 weeks ago

Its simple...use venn diagram...

student playing all 3=20

student playing volley and cricket only = 0

student playing volley and hockey = 30...means 20 who plays all three and 10 only these 2 sports.

no of only volley players left =70-20-10 =40

last , students playing hockey and cricket = 30..

same goes here ...

therefore no of stu. playing only hockey and cricket =10

no. of only hockey players left= 20- 10(stu. with ho key and cricket only)-10(student playing hockey and volley only)

so, 60-20-10-10 = 20

Ratio of volley to hockey =40:20

= 2:1

student playing all 3=20

student playing volley and cricket only = 0

student playing volley and hockey = 30...means 20 who plays all three and 10 only these 2 sports.

no of only volley players left =70-20-10 =40

last , students playing hockey and cricket = 30..

same goes here ...

therefore no of stu. playing only hockey and cricket =10

no. of only hockey players left= 20- 10(stu. with ho key and cricket only)-10(student playing hockey and volley only)

so, 60-20-10-10 = 20

Ratio of volley to hockey =40:20

= 2:1

Natraj
answered
Jul 25, 2019

On the basis of given information, Following venn diagram can be made

Therefore,the ratio of the number of students playing only volleyball to the number of students playing only hockey is-

Ratio = 40:20 = 2:1

Ratio = 40:20 = 2:1

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Answers of DIRECTIONSfor the question:Solve the following question and mark the best possible option.In a class of 120 students 70 like to play volleyball, 60 like to play hockey and 60 like to play cricket. The number of students playing all three games is 20.No student who plays both volleyball and cricket hates hockey whereas there are 30 students who like to play both volleyball and hockey and 30 students who like to play hockey and cricket. Find the ratio of the number of students playing only volleyball to the number of students playing only hockey?a)2:1b)3:1c)4:3d)1:2Correct answer is option 'A'. Can you explain this answer? are solved by group of students and teacher of CAT, which is also the largest student
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DIRECTIONSfor the question:Solve the following question and mark the best possible option.In a class of 120 students 70 like to play volleyball, 60 like to play hockey and 60 like to play cricket. The number of students playing all three games is 20.No student who plays both volleyball and cricket hates hockey whereas there are 30 students who like to play both volleyball and hockey and 30 students who like to play hockey and cricket. Find the ratio of the number of students playing only volleyball to the number of students playing only hockey?a)2:1b)3:1c)4:3d)1:2Correct answer is option 'A'. Can you explain this answer? over here on EduRev! Apart from being the largest CAT community, EduRev has the largest solved
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