CAT Exam  >  CAT Questions  >   A school propagated sports for physical fitn... Start Learning for Free
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?
Most Upvoted Answer
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).
Explore Courses for CAT exam

Top Courses for CAT

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?
Question Description
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 2025 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 2025 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?.
Solutions 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? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of 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? defined & explained in the simplest way possible. Besides giving the explanation of 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?, a detailed solution 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? has been provided alongside types of 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? theory, EduRev gives you an ample number of questions to practice 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? tests, examples and also practice CAT tests.
Explore Courses for CAT exam

Top Courses for CAT

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev