Explanation:

- The average of 22 numbers is 37.5, so the total sum is $22\times 37.5=825$.

- The average of the first 12 numbers is 40.6, so their sum is $12\times 40.6=487.2$.

- The average of the last 12 numbers is 35.4, so their sum is $12\times 35.4=424.8$.

- Numbers 11 and 12 are counted twice in these sums. Sum of these two numbers: $487.2+424.8-825=87$.

- Excluding numbers 11 and 12: sum of other numbers = total sum - sum of 11 and 12 = $825-87=738$.

- Counting the remaining numbers: 22 - 2 = 20.

- Average of the remaining numbers is $738/20=36.9$.

?? 36.9 is the correct answer. .