A school propagated sports for physical fitness of their students. All the 100 students had to therefore take part in one sport. Few students took part in two sports as well. A student was allowed to participate in a maximum of two sports only. There were four sports in the school namely - Cricket, Hockey, Football and Basketball. There was no student who participated in Hockey and Basketball but there were 11 students who took part in Cricket and Basketball. There was no student who participated in Cricket and Football but there were 9 students who took part in Hockey and Football. 49% students participated in Cricket and 30% participated in Football. The students participating only in one sport are in the ratio 1:2:3:1 for Basketball, Hockey, Cricket and Football. How many students participated in more than one sport?a)59b)51c)42d)39Correct answer is option 'B'. Can you explain this answer?

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A school propagated sports for physical fitness of their students. All the 100 students had to therefore take part in one sport. Few students took part in two sports as well. A student was allowed to participate in a maximum of two sports only. There were four sports in the school namely - Cricket, Hockey, Football and Basketball. There was no student who participated in Hockey and Basketball but there were 11 students who took part in Cricket and Basketball. There was no student who participated in Cricket and Football but there were 9 students who took part in Hockey and Football. 49% students participated in Cricket and 30% participated in Football. The students participating only in one sport are in the ratio 1:2:3:1 for Basketball, Hockey, Cricket and Football. How many students participated in more than one sport?

a)
59
b)
51
c)
42
d)
39

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

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A school propagated sports for physical fitness of their students. Al...

None of the students took part in Hockey and Basketball, & Cricket and Football. This means when we draw a venn diagram these should not have any intersection at all. Also maximum a student could participate in two sports, so there should be no intersection of three or 4 sports. From the conditions given we have -

11 participated in Cricket and Basketball, while 9 in Hockey and Football

49% means 49 students participated in total for cricket, 30 participated in Football.

Students who participated in only one sport be x - basketball, 2x - Hockey, 3x - Cricket, and x - Football.

We know the total is 100 students.

So Total Cricket + Total Football + Only Hockey + Only Basketball = 100

49 + 30 + x + 2x = 100 → 3x = 21 → x = 7

With this value we can redraw the Venn diagram -

Hence our answer is - 17+11+14+9 = 51

Hence, the correct option is (b).

Answered by Wizius Careers · View profile

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A school propagated sports for physical fitness of their students. All the 100 students had to therefore take part in one sport. Few students took part in two sports as well. A student was allowed to participate in a maximum of two sports only. There were four sports in the school namely - Cricket, Hockey, Football and Basketball. There was no student who participated in Hockey and Basketball but there were 11 students who took part in Cricket and Basketball. There was no student who participated in Cricket and Football but there were 9 students who took part in Hockey and Football. 49% students participated in Cricket and 30% participated in Football. The students participating only in one sport are in the ratio 1:2:3:1 for Basketball, Hockey, Cricket and Football. How many students participated in more than one sport?a)59b)51c)42d)39Correct answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A school propagated sports for physical fitness of their students. All the 100 students had to therefore take part in one sport. Few students took part in two sports as well. A student was allowed to participate in a maximum of two sports only. There were four sports in the school namely - Cricket, Hockey, Football and Basketball. There was no student who participated in Hockey and Basketball but there were 11 students who took part in Cricket and Basketball. There was no student who participated in Cricket and Football but there were 9 students who took part in Hockey and Football. 49% students participated in Cricket and 30% participated in Football. The students participating only in one sport are in the ratio 1:2:3:1 for Basketball, Hockey, Cricket and Football. How many students participated in more than one sport?a)59b)51c)42d)39Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A school propagated sports for physical fitness of their students. All the 100 students had to therefore take part in one sport. Few students took part in two sports as well. A student was allowed to participate in a maximum of two sports only. There were four sports in the school namely - Cricket, Hockey, Football and Basketball. There was no student who participated in Hockey and Basketball but there were 11 students who took part in Cricket and Basketball. There was no student who participated in Cricket and Football but there were 9 students who took part in Hockey and Football. 49% students participated in Cricket and 30% participated in Football. The students participating only in one sport are in the ratio 1:2:3:1 for Basketball, Hockey, Cricket and Football. How many students participated in more than one sport?a)59b)51c)42d)39Correct answer is option 'B'. Can you explain this answer?.

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