Is it permissible to give a donation to a college in return for the opportunity to study there?
Question

                I am willing to pay donation to a particular college for my admission so i dont end up wasting my year because i have not cleared any entrance exam. My question takes 3 forms here : 

1. I am living in a non muslim country and non muslims are likely to clear the entrance exams for prejudice..so is it right to pay donation for admission?? 

2. There is management quota in some colleges, where out of total seats some seats are reserved.. and these seats are alloted to those students who are willing to pay more than the normal fees.. taking admission through this quota is wrong according to islam?

3. if college is fair in its selection procedure.. paying donation for admission in this case is right or wrong?
Praise be to Allah.It 
    is permissible to give a donation to a specific college or institute in 
    return for the donor being let off having to take the entrance exam, and it 
    is permissible for him to increase his donations so as to increase his 
    chances of admission to a course of study. 

    That is because the college, in that case, has stipulated that, in order to 
    be admitted, the student must either have a certain level of knowledge, or 
    be willing to benefit the institution by giving money. This is permissible 
    and there is nothing wrong with it. 

    Even though the money that is given is called a donation, in fact it is not 
    a donation, because what is meant by a donation is that one gives money to 
    someone for nothing in return, but this money that was given to the college 
    is for something in return, which is admission to a course of study. So it 
    is as if this student has purchased the right to study in this college by 
    giving this money, so it is not a pure donation. 
So 
    if we assume that it is called a donation or a gift, it comes under the 
    heading of a gift in return for something, which is permissible according to 
    the correct scholarly opinion, like buying and selling. 

    See: al-Fawaakih ad-Dawaani (2/158) 
It 
    says in al-Mawsoo‘ah al-Fiqhiyyah al-Kuwaitiyyah (15/16): 

    What is meant by reward for a gift is financial recompense: 

    The basic principle concerning gifts is that there should not be any 
    tangible recompense for them, because a gift is a donation, so it is not in 
    return for something. 

    However it is permissible to give something in return for a gift, and this 
    is called a reward for a gift. This refers to a gift for which recompense is 
    received. The recompense for the gift may or may not be stipulated in the 
    contract. 
If 
    it is stipulated in the contract, and it is known, then the contract is 
    valid according to the Hanafis, Maalikis and Hanbalis, and according to the 
    Shaafa‘is in the more well-known view, based on the meaning according to 
    their view. The second view among the Shaafa‘is is that the contract is 
    invalid because of the reference to compensation, because the word gift 
    implies that it is a donation. 
If 
    the contract is valid then is a kind of transaction, or it is a transaction 
    in general terms, and it comes under the rulings on transactions. In that 
    case there is the right to go ahead with it or cancel it, or to return the 
    item if it is faulty, and the right of first refusal (shuf’ah), and there is 
    no right to return the item after the transaction has been completed. End 
    quote.
It 
    should be noted that this is on condition that the course of study in this 
    college should be permissible, such as study of medicine, engineering, 
    science or history and the like, and not study of something prohibited. 
As 
    for prohibited studies, such as study of singing, acting, music and the 
    like, it is not permissible for a Muslim to join such courses or to give 
    money to the college that teaches them. 

    And Allah knows best.