Can a woman make wudhu when on her period and can she read Quran and if so what are the conditions.

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Wudhu is mustahab to do during the period and Quran can be read without reading the ayats pertaining to wajib sajdas and according to some maraaje also the suras which have wajib sajdas. Touching the verses of the Holy Quran is not allowed in this state even if one be in wudhu.