There are 200 students in a class playing either badminton, tennis, or both. The number of boys playing only tennis is 1/3 of the total girls playing ...

Question

There are 200 students in a class playing either badminton, tennis, or both. The number of boys playing only tennis is 1/3 of the total girls playing only one game. The number of girls playing badminton equals the total number of boys. The number of girls playing both games is 40% more than the number of boys playing only badminton, and the number of girls playing only tennis is twice the number of boys playing only badminton. The number of boys playing both games is half the number of girls playing only badminton.

Compare the following quantities:

  • Quantity I: Difference between the number of girls playing only badminton and only tennis.
  • Quantity II: 60% of the number of boys playing both games.
  • Quantity III: 40% of the difference between boys playing only badminton and girls playing only tennis.

Options

A.

Quantity II = Quantity I > Quantity III

B.

Quantity I = Quantity II = Quantity III

C.

Quantity III = Quantity II > Quantity I

D.

Quantity II > Quantity III = Quantity I

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