All perfect praise be to Allaah, The Lord of the Worlds. I testify that there is none worthy of worship except Allaah, and that Muhammad is His slave and Messenger.
Specifying some verses to be recited on a particular day of the week and believing that it has some excellence is something that is not reported in the Sharee’ah as far as we know. Worshipping Allaah with such a specification is not permissible because it is an innovation and it is confirmed that ‘Aa’ishah narrated that the Prophet said: “Whoever performs an act which is not in accordance with ours [our religion], it will be rejected from him.” [Al-Bukhari and Muslim]
Nonetheless, reciting the Book of Allaah is of great excellence as the reciter gets ten rewards for every letter, as the Prophet said: ''Whoever recites one letter from the Book of Allaah, he will get one reward for it, and a reward is multiplied tenfold, I don’t say Alif-Laam-Meem is one letter, but Alif is a letter, Laam is a letter, and Meem is a letter.” [At-Tirmithi]
Therefore, a Muslim whether male or female should be assiduous in reciting the Quran at all times in order to obtain this great reward.
Allaah Knows best.