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In Vimla public school, students can choose among three sports Cricket, Football and Hockey. Out of 1000 students, each one is required to play at least one of the three sports. 40 students play all three sports. 380 students play only Hockey, 170 students play only Cricket, 60 students play exactly two sports Hockey and cricket and 240 students play only Football.
What is the number of students who play exactly two sports?
  • a)
    155
  • b)
    170
  • c)
    200
  • d)
    140
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Direction: Study the information carefully to answer the questions th...
It is given that the total number of students are = 1000
Only Hockey = 380
Only Cricket = 170
Only Football = 240
Hockey + Cricket + Football = 40 {all the three sports}
Now, let X be the number of students who play Cricket and Football.
And Y is the number of students who play football and hockey.
Now total number of students,
170 +60 +40 +380+ 240+ X + Y= 1000
X + Y = 110
And 60 students play only hockey and cricket, and that number we get after removing students who play all three sports from students who play hockey and cricket.
X + Y + 60 = 110+ 60 = 170
There are 170 students who play exactly two sports.
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Most Upvoted Answer
Direction: Study the information carefully to answer the questions th...
To solve this question, we can use the principle of inclusion-exclusion. Let's break down the given information:

Given information:
- Total number of students: 1000
- Number of students who play all three sports: 40
- Number of students who play only Hockey: 380
- Number of students who play only Cricket: 170
- Number of students who play exactly two sports (Hockey and Cricket): 60
- Number of students who play only Football: 240

Step 1: Find the number of students who play at least two sports
- We know that 40 students play all three sports.
- To find the number of students who play at least two sports, we need to subtract the number of students who play only one sport (either Hockey, Cricket, or Football) from the total number of students who play each individual sport.
- Number of students who play only Hockey: 380
- Number of students who play only Cricket: 170
- Number of students who play only Football: 240

Therefore, the number of students who play at least two sports = 380 + 170 + 240 = 790.

Step 2: Find the number of students who play exactly two sports
- Number of students who play exactly two sports = Number of students who play at least two sports - Number of students who play all three sports.
- Number of students who play exactly two sports = 790 - 40 = 750.

Answer:
Therefore, the number of students who play exactly two sports is 750, which corresponds to option B.
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Community Answer
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If the number of students playing hockey is 550 then what is the number of students who play cricket
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Direction: Study the information carefully to answer the questions that follow.In Vimla public school, students can choose among three sports Cricket, Football and Hockey. Out of 1000 students, each one is required to play at least one of the three sports. 40 students play all three sports. 380 students play only Hockey, 170 students play only Cricket, 60 students play exactly two sports Hockey and cricket and 240 students play only Football.What is the number of students who play exactly two sports?a)155b)170c)200d)140Correct answer is option 'B'. Can you explain this answer?
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