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1965 AMC 12 Question 29

AMC12 · 1965 AMC 12

Question 29

Of $28$ students taking at least one subject the number taking Mathematics and English only equals the number taking Mathematics only. No student takes English only or History only, and six students take Mathematics and History, but no English. The number taking English and History only is five times the number taking all three subjects. If the number taking all three subjects is even and non-zero, the number taking English and Mathematics only is:
  1. $5$
  2. $6$
  3. $7$
  4. $8$
  5. $9$