Is it permissible to eat from an Udhiyah slaughtered on behalf of a deceased person?
Praise be to Allah, and prayers and peace be upon our Master the Messenger of Allah.
It is permissible to eat from the sacrifice (uḍḥiyyah) that is offered on behalf of a deceased person. This is the madhhab (school of thought) of the Hanbalis. In this case, the heirs take the place of the deceased as if he were alive, with the same rights to eat from it, give it in charity, and offer it as a gift.
It is stated in Maṭālib Uli al-Nuhā (Vol.2/P.472): "Offering a sacrifice on behalf of a deceased person is better than offering one on behalf of a living person, because the deceased is unable (to perform deeds) and is in need of reward. It is to be treated like a sacrifice on behalf of a living person in terms of eating, giving charity, and giving gifts." And Allah Almighty knows best.
Is ablution invalidated when blood comes out of the nose, or a wound?
Blood coming out of the nose, or a wound does not invalidate ablution, but it is preferable to make ablution as a way out of the scholars disagreement in this regard.
Is it permissible for a praying person to make supplication in each Sajdah (a prostration) of obligatory prayer?
It is permissible for a praying person, whether praying individually, or in congregation, to make supplication during Sujood (prostration) in obligatory, or voluntary prayers. However, it is disliked for the Imam to do so since he is required to spare the prayer performers any sort of hardship, unless he is leading a certain group who don`t mind him extending the prayer.
What is the ruling of Islamic Law on the colored discharges that appear one or two days before the menstrual cycle?
Praise be to Allah, and peace and blessings be upon our Master, the Messenger of Allah.
Colored discharges carry the same Islamic ruling as blood, whether they appear at the beginning or the end of the menstrual period. This remains true even if the discharge is intermittent—appearing for some days and stopping for others before returning—provided that the total duration does not exceed fifteen days nor fall short of a day and a night (24 hours). This is because the minimum duration of menstruation (Hayd) is one day and a night, while its maximum duration is fifteen days. Furthermore, the minimum period of purity (Tuhr) between two menstrual cycles is fifteen days, and there is no maximum limit for it. And Allah the Exalted knows best."
