Is it permissible for someone to make a supplication to Allah to marry an already married, or an engaged woman?
No, it isn`t, and the person who does so is sinful before Allah, The Almighty.
What is the ruling on cheating to pass High School Exams?
All perfect praise be to Allah the Lord of the Worlds. May His peace and blessings be upon Prophet Mohammad and upon all his family and companions.
The Messenger of Allah said: "Whoever cheats, he/she isn`t one of us." [Moslim]. You should study hard in order to pass and excel. And Allah The Almighty Knows Best.
I want to buy a house by having a loan from a bank?
If taking a loan from usrious banks it is impermissible; on the other hand, if this took place through Islamic ones then it is permissible to get the loan, since Allah the Most Exalted Said (What means): "And Allah has made buying lawful and forbidden usury (riba)." And Allah Knows Best.
Is it permissible to have sexual intercourse with pregnant wife?
All perfect praise be to Allah, the Lord of the worlds. I testify that there is none worthy of worship except Allah and that Muhammad, sallallahu ‘alayhi wa sallam, is His slave and Messenger.
There is no sin in having sex with one`s pregnant wife as long as there is no medical condition preventing her from that. And Allah The Almighty Knows Best.