In a group of children 35 play football out of which 20 play football only, 22 play hockey; 25 play cricket out of which 11 play cricket only. Out of these 7 play cricket and football but not hockey, 3 play football and hockey but not cricket and 12 play football and cricket both. How many play all the three games?

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A 5
Using the following Venn diagram distribution for the following question.
We get the intersection $n (F \cap C \cap H) = 5$

Suggest Corrections

Similar questions

Q. A group of 25 students play Hockey, Football and Cricket. 5 play all the three games, 12 play hockey and football only. 13 play football and cricket only. How many of them do not play any game?

Q44. A group of 25 students play Hockey, Football and Cricket. 5 play all the three games, 12 play hockey and football only. 13 play football and cricket only. How many of them do not play any game?

Q. In a sports academy of 300 people, 105 play only cricket, 70 play only hockey, 50 play only football, 25 play both cricket and hockey, 15 play both hockey and football and 30 play both cricket and football. The rest of them play all three sports. What is the percentage of people who play at least two sports?

In a group of students, $65$ play football, $45$ play hockey, $42$ play cricket, $20$ play football and hockey, $25$ play football and cricket, $15$ play hockey and cricket, and 8 play all three games. Find the total number of students in the group.

(Assume that each student in the group plays at least one game.)

Q. In a college, 35% of the students play at least two out of three games- Cricket, Hockey and Football. Football is played by 45% of the students. 15% of the people play both Cricket and Hockey, while 10% of the people play all the three games. If 7% of the students do not play any game, what percentage of the students play only Football?

Join BYJU'S Learning Program

The correct option is A 5Using the following Venn diagram distribution for the following question.We get the intersection n(F∩C∩H)=5

The correct option is A 5
Using the following Venn diagram distribution for the following question.
We get the intersection $n (F \cap C \cap H) = 5$