There are several hadiths which claims women are inferior in intelligence to that of men. for example:
Narrated Abu Said Al-Khudri:
Once Allah's Apostle went out to the Musalla (to offer the prayer) o 'Id-al-Adha or Al-Fitr prayer. Then he passed by the women and said, "O women! Give alms, as I have seen that the majority of the dwellers of Hell-fire were you (women)." They asked, "Why is it so, O Allah's Apostle ?" He replied, "You curse frequently and are ungrateful to your husbands. I have not seen anyone more deficient in intelligence and religion than you. A cautious sensible man could be led astray by some of you." The women asked, "O Allah's Apostle! What is deficient in our intelligence and religion?" He said, "Is not the evidence of two women equal to the witness of one man?" They replied in the affirmative. He said, "This is the deficiency in her intelligence. Isn't it true that a woman can neither pray nor fast during her menses?" The women replied in the affirmative. He said, "This is the deficiency in her religion."
Sahih Bukhari 1:6:301
In another hadith:
Narrated Abu Said Al-Khudri
On 'Id ul Fitr or 'Id ul Adha Allah's Apostle (p.b.u.h) went out to the Musalla. After finishing the prayer, he delivered the sermon and ordered the people to give alms. He said, "O people! Give alms." Then he went towards the women and said. "O women! Give alms, for I have seen that the majority of the dwellers of Hell-Fire were you (women)." The women asked, "O Allah's Apostle! What is the reason for it?" He replied, "O women! You curse frequently, and are ungrateful to your husbands. I have not seen anyone more deficient in intelligence and religion than you. O women, some of you can lead a cautious wise man astray." Then he left. And when he reached his house, Zainab, the wife of Ibn Masud, came and asked permission to enter It was said, "O Allah's Apostle! It is Zainab." He asked, 'Which Zainab?" The reply was that she was the wife of Ibn Mas'ub. He said, "Yes, allow her to enter." And she was admitted. Then she said, "O Prophet of Allah! Today you ordered people to give alms and I had an ornament and intended to give it as alms, but Ibn Masud said that he and his children deserved it more than anybody else." The Prophet replied, "Ibn Masud had spoken the truth. Your husband and your children had more right to it than anybody else."
Sahih Bukhari 2:24:541
Similarly,
Narrated Abu Said Al-Khudri
The Prophet said, "Isn't the witness of a woman equal to half of that of a man?" The women said, "Yes." He said, "This is because of the deficiency of a woman's mind."
Sahih Bukhari 3:48:826
I know in pre Islamic Arabia women were deprived of basic needs such as education and other affairs that might have otherwise developed their critical thinking abilities and intelligence and might have made them equally intelligent like men. The same could also be true for even today's world when a woman goes through menstrual cycles, pregnancy etc which could have a negative impact on her brain.
However, to render them lesser in religion simply because they cannot pray or fast during menstruation seems unjust.
The reasons are simple: They could have been allowed to pray or fast even while menstruating, They did not vote to be pardoned from praying during that period of time. They had no choice in it and this decision was narrated to them by Muhammad pbuh who is not a woman.
Similarly, they also did not choose to get periods, they simply inherited it as part of their gender and they are paying the price.
Does this mean that a woman doing every 'good deed' she is able to do, and a man doing every 'good deed' they are able to, will result in the man receiving a higher reward from Allah because he was able to do more religious deeds because of no restrictions and the female was able to do less religious deeds because of restrictions put forth upon her beyond her privilege to control?
I know I could be wrong, Please explain why and how.