Does a woman's fast become invalid if she adorns herself with makeup, revealing clothes, or perfume during the daytime in Ramadan, and strange men see her in that state? And is she required to make up for and repeat that fast, whether it was an obligatory fast, a supererogatory fast, or a make-up fast?

The fast is not invalidated by what was mentioned in the question, and the woman is not required to make it up. However, she might lose the reward of fasting. A fasting person who abstains from food and drink—which are permissible—should all the more abstain from unlawful acts. It is reported in the Hadith: "Whoever does not give up false statements and evil deeds, Allah is not in need of his leaving his food and drink." Ibn Rajab said: "Drawing near to Allah by abandoning permissible things is not complete until one draws near to Him by abandoning unlawful things." The fast of one who commits unlawful acts is considered valid by the majority of scholars, and he is not commanded to repeat it.