the survey was counducted on the hobbies of 200 students.the survey revaled that 85% of student play football 80% basketball and 75% hockey & 70% tennis what is minimum number of students who must have played all four games

• Based on all given information, a number of students who never played specific sports among 200 students conducted the surveys is as below:
  
  Foot ball: 30
  Basket ball : 40
  Hockey: 50
  
  We could Assume that all 140 students who play the Tennis which has the minimum number of all 4 games (; 200 x 70% = 140) are the first candidate who must have played all four games.
  
  In order to get the minimum number of students who must have played all four games:
  1. Among these 140 students who play tennis as a hobby, we should subtract the number of students who never had played other 3 sports each in case they are the one.
  2. 140 - 30 - 40 - 50 = 20
  
  answer = 20
• 7 years agoHelpfull: Yes(34) No(3)
• Out of 200 students 85% plays football means 200*85%=170,then 200-170=30 plays Football,
  80% plays basketball means 200*80%=160,then 200-160=40 plays Basketball,
  75% plays hockey means 200*75%=150,then 200-150=50 plays Hockey,
  70% plays tennis means 200*70%=140,then 200-140=60 plays Tennis,
  then 30+40+50+60=180 and now subtract 180 from 200=200-180=20 .
  Ans-minimum number of students who must have played all four games=20
• 6 years agoHelpfull: Yes(23) No(2)
• AM NOT SURE ABOUT THE ANSWER
  total student = 200
  who plays basketball=80% => 80/100*200=160
  who plays football=85%=> 85/100*200=170
  who plays hockey=> 75/100*200=150
  similarly who play tennis=140
  let x be who played all four games
  170+160+150+140-x=200
  x=420
• 7 years agoHelpfull: Yes(9) No(28)
• 85+80+75+70=310
  200*（310-300）%=20
  explain：
  narrow to two sport： 85+80=165 total is 100% so at least 65% played both
  then use the first result: 65+75=140 which means at least 40% played three sports
  then: 40+70=110, means at least 10% played 4 sports
• 7 years agoHelpfull: Yes(6) No(1)
• I think that a minimum number of the students who must have played all 4 games should be focused on the 70% which is the smallest percentages among 4 games. Thus, the answer might be 200 x 70 % = 140
• 7 years agoHelpfull: Yes(5) No(4)
• I think the answer should be 110 students because suppose if we allocate a rectangle to all population of students. And if we allocate 85%(max ) students from left side and 70%(min) from right side then the common
  are will represent the required population i,e 55% of 200 which is 110 students
• 6 years agoHelpfull: Yes(0) No(0)
• Hi vaisunavee can u plz send me business communication, coding and apti questions.
  mail id -nikital13m@gmail.com
• 5 years agoHelpfull: Yes(0) No(0)