Multiple choice general knowledge math & puzzles

At a high school, where each student takes one foreign language only, 3/8 of the students take French and 1/5 of the remaining students take German. If all the other students study Italian, what percent of all students take Italian?

  1. 50

  2. 80

  3. 40

  4. 30
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A Correct answer
Explanation

After 3/8 take French, 5/8 remain. Of these remaining, 1/5 take German, so 4/5 of the remaining students take Italian. Therefore, Italian students = (4/5) × (5/8) = 4/8 = 1/2 = 50%. The key is recognizing that 4/5 of the remaining students (not 1/5) study Italian.

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