Of 120 students, 88 play football, 68 play tennis and 27 do neither. How many do both?

Answer and explanation

Correct answer: D. 63

  1. Step 1: Students doing at least one = 120 - 27 = 93; use total = A + B - both. Step 2. 88 + 68 - 63 = 93 = 120 - 27, so 63 do both. Answer: 63. Why not the others: 5, 36 and 66 each come from skipping the overlap or the 'neither' group in the working.

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