In a Puducherry office, 25 staff speak Tamil. After finding the number marked ?, what is the ratio of staff who speak exactly one language to those who speak at least three?

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Accepted Answer

10 : 3. The Tamil ellipse: ? + 2 + 5 + 3 + 2 + 2 + 3 + 1 = 25, so ? = 7. Exactly one = 8 + 6 + 7 + 9 = 30. At least three = 2 + 1 + 2 + 3 + 1 = 9. Ratio 30 : 9 = 10 : 3. 23 : 9 leaves out the ?, 15 : 4 forgets the centre (30 : 8), and 3 : 10 is upside down.

In a Puducherry office, 25 staff speak Tamil. After finding the number marked ?, what is the ratio of staff who speak exactly one language to those who speak at least three?

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