The correct option is A 34, 90
Smith's scores are 90, 34, 55, and 78.
Let us arrange the scores in ascending order.
In ascending order, the numbers should be arranged from the smallest to the largest.
Among the four numbers, 34 is the smallest. The next smallest number is 55.
The next smallest between 78 and 90 is 78.
The remaining number, 90, is the last number in the order.
Hence, the numbers in ascending order are:
34, 55, 78, 90
The first number gives the least score, and the last number gives the highest score.
Therefore, 34 and 90 are the least and the highest scores respectively.