The average of 7 numbers is The average of first three of them is 20, while the average of last three is The remaining number is

21
35
31
39

The correct answer is (c).

The sum of the 7 numbers is $7 \times 25 = 175$. The sum of the first 3 numbers is $3 \times 20 = 60$, and the sum of the last 3 numbers is $3 \times 31 = 93$. Therefore, the remaining number is $175 – 60 – 93 = 31$.

Option (a) is incorrect because $21$ is not the sum of any three of the numbers. Option (b) is incorrect because $35$ is not the sum of any four of the numbers. Option (d) is incorrect because $39$ is not the sum of any five of the numbers.

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