At a Cuttack office, 23 staff speak exactly two of Odia, Bengali, Hindi and English. After finding the number marked ?, how many staff speak at most two languages?

Question

Accepted Answer

60. The other exactly-two regions hold 4 + 3 + 5 + 6 + 2 = 20, so ? = 3. Exactly one = 7 + 10 + 8 + 12 = 37. At most two = 37 + 23 = 60. 57 leaves out the ?, 62 adds the centre 2, and 23 is only the exactly-two group.

At a Cuttack office, 23 staff speak exactly two of Odia, Bengali, Hindi and English. After finding the number marked ?, how many staff speak at most two languages?

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