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Directions: Study the following information and answer the question.
In DAV Public School, there are three games to opt for: Chess, Cricket and Badminton. Every student has to choose one or more games. 70% of students play Chess. The number of students who select only Cricket is 1/35th of the number of students who select Chess. 32 students select both Cricket and Badminton but not Chess. The number of students who select only Chess is 50% more than the number of students who select only Badminton. The number of students who select only Badminton is 20 more than the number of students who select only Cricket.
What is the number of students who select Chess only?
  • a)
    36
  • b)
    42
  • c)
    48
  • d)
    63
  • e)
    66
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Directions: Study the following information and answer the question.I...
Let the total number of students be 100x.
Number of students who select Chess = 70x
Number of students who select Cricket only = 2x
Number of students who select only Badminton = 2x + 20
Number of students who select both Cricket and Badminton but not Chess = 32
Also (100x - 70x - 2x) - (2x + 20) = 32
26x - 20 = 32
26x = 52
x = 2
Total number of students who select only Badminton = 2x + 20 = 2(2) + 20 = 24
Number of students who select only Chess = 24 × 1.5 = 36
Hence, answer option 1 is correct.
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