This is the 1017th most frequent Japanese word.
ところが
"ところが" means "however" or "even so," used to express unexpected contrast or surprise.
In this sentence, 'ところが' introduces an unexpected turn of events contrary to what was implied earlier.
彼は勉強をしていましたが、ところが試験には落ちました。
He was studying, but surprisingly he failed the exam.
Here, 'ところが' indicates an event or situation where expectations were not met due to an obstacle.
問題に取り組んでいたところが、時間切れになってしまった。
I was working on the problem, but unfortunately, time ran out.
This use of 'ところが' demonstrates a surprising or contrary result to the initial impression or expectation.