To determine the number of quarter notes in the notation excerpt you mentioned, I would need to see the actual notation image. Since I can't view images, I can't specify how many quarter notes are present.
However, if you're asking whether the answer would be "024" or "six," typically, the count of notes would be expressed in whole numbers. If the excerpt contains 6 quarter notes, the answer would simply be "six." The "024" notation doesn't correspond to a standard way of counting or indicating the number of notes usually.
If you can describe the notation or provide more context, I'd be happy to help further!