In the given Venn diagram, the circle represents 'girls who play football', the rectangle represents 'boys who play football', the triangle represents 'girls and boys who play hockey', and the arrow represents 'players who play badminton'. What is the total number of girls and boys who play both football and hockey?
The shaded part represents 'girls and boys who play both football and hockey' .
The number of girls who play both football and hockey = 12
The number of boys who play both football and hockey = 14
The number of girls who play both badminton, football and hockey = 5
The number of boys who play both badminton, football and hockey = 4
So, the numbers of girls and boys who play both football and hockey = 12 + 14 + 5 + 4 = 35
Hence, ‘35’ is the correct answer.
Important Questions from Venn Diagram Problems
In a group of 73 friends, 14 friends go to Gym and Karate classes both, whereas 7 friends neither go to Gym class nor to Karate class. If a total of 36 friends go to Gym class, then how many friends go to only Karate class?
In an examination 20% students failed in Mathematics and 15% failed in English. If 10% failed in both and those who passed in both numbered 300, then the total number of students who appeared in the examination was
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Which category is represented by the number '5'?
- In the following diagram, the circle stands for 'policemen', the square stands for 'sportspersons' and the 'triangle' stands for 'tax-payers' the numbers given in the different segments represent the number of persons in that category.
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The letter that represents the artists who are the doctors and dancers only is
