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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...
Given information:
- 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.

Let's solve the problem step by step:

Step 1: Let's assume the total number of students in the school is 'x'.

Step 2: From the given information, we know that 70% of students play Chess. Therefore, the number of students who play Chess is 70% of 'x', which is 0.7x.

Step 3: The number of students who select only Cricket is 1/35th of the number of students who select Chess. This means if 'y' is the number of students who select only Chess, then the number of students who select only Cricket is y/35.

Step 4: 32 students select both Cricket and Badminton but not Chess. So, the number of students who play both Cricket and Badminton is 32.

Step 5: The number of students who select only Chess is 50% more than the number of students who select only Badminton. Let's assume the number of students who select only Badminton is 'z'. Therefore, the number of students who select only Chess is z + 50% of z, which is 1.5z.

Step 6: The number of students who select only Badminton is 20 more than the number of students who select only Cricket. So, if 'w' is the number of students who select only Cricket, then the number of students who select only Badminton is w + 20.

Step 7: Now, let's create an equation using the given information:
- The total number of students who play Chess, Cricket, and Badminton is equal to the sum of the number of students who select only Chess, only Cricket, only Badminton, and both Cricket and Badminton.
- 0.7x + y + (y/35) + (w + 20) + (z + 1.5z) + 32 = x

Step 8: Simplifying the equation:
- 0.7x + y + (y/35) + w + 20 + z + 1.5z + 32 = x
- 0.7x + y + (y/35) + w + z + 1.5z + 52 = x
- (0.7x - x) + (y/35) + w + z + 1.5z + 52 = -y

Step 9: Rearranging the equation:
- -0.3x + (y/35) + w + z + 1.5z + 52 = -y
- -0.3x + (y/35
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Community 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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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)36b)42c)48d)63e)66Correct answer is option 'A'. Can you explain this answer?
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