We are given a set of n distinct elements and an unlabeled binary tree with n nodes. In how many ways can we populate the tree with the given set so that it becomes a binary search tree?

Consider a relation table with a single record for each registered student with a single record for each registered student with the following attributes.
$$1.$$ $$Registration$$ $$Num:$$ Unique registration number of each registered student.
$$2.$$ $$UID :$$ Unique identity number, unique at the national level for each cityzen.
$$3.$$ $$BankAccount_Num:$$ Unique account number at the bank. A student can have multiple accounts or joint accounts. This attribute stores the primary account number.
$$4.$$ $$Name:$$ Name of the student
$$5.$$ $$Hostel$$ $$Room:$$ Room number of the hostel.

Which of the following options is INCORRECT?

Database table by name Loan_Records is given below.

Borrower	Bank_Manager	Loan_Amount
Ramesh	Sunderajan	10000.00
Suresh	Ramgopal	5000.00
Mahesh	Sunderajan	7000.00

What is the output of the following SQL query?

SELECT count(*) 
FROM ( 
(SELECT Borrower. Bank_Manager FROM Loan_Records) AS S 
NATURAL JOIN 
(SELECT Bank_Manager, Loan_Amount FROM Loan_Records) AS T );

Consider a database table T containing two columns X and Y each of type integer. After the creation of the table, one record (X = 1, Y = 1) is inserted in the table.

Let MX and MY denote the respective maximum values of X and Y among all records in the table at any point in time. Using MX and MY, new records are inserted in the table 128 times with X and Y values being MX + 1, 2*MY + 1 respectively. It may be noted that each time after the insertion, values of MX and MY change.

What will be the output of the following SQL query after the steps mentioned above are carried out?

SELECT Y FROM T WHERE X=7;