| Raider | |||
| ID | Name | Raids | RaidPoints |
| 1 | Arjun | 200 | 250 |
| 2 | Ankush | 190 | 219 |
| 3 | Sunil | 150 | 200 |
| 4 | Reza | 150 | 190 |
| 5 | Pratham | 175 | 220 |
| 6 | Gopal | 193 | 215 |
| Team | ||
| City | ID | BidPoints |
| Jaipur | 2 | 200 |
| Patna | 3 | 195 |
| Hyderabad | 5 | 175 |
| Jaipur | 1 | 250 |
| Patna | 4 | 200 |
| Jaipur | 6 | 200 |
The SQL query described below is executed on this database :
SELECT *
FROM Raider, Team WHERE Raider.ID=Team.ID AND City="Jaipur" AND
RaidPoints > 200;
The number of rows returned by this query is ______.
Let \( M = \left(I_n - \frac{1}{n} 11^T \right) \) be a matrix where \( 1 = (1,1,\dots,1)^T \in \mathbb{R}^n \) and \( I_n \) is the identity matrix of order \( n \). The value of \[ \max_{x \in S} x^T M x \] where \[ S = \{ x \in \mathbb{R}^n \mid x^T x = 1 \} \] is ________.


On a relation named Loan of a bank: 
On a relation named Loan of a bank: 
The following SQL query is executed:
SELECT L1.loannumber FROM Loan L1 WHERE L1.amount \(>\) (SELECT MAX(L2.amount) FROM Loan L2 WHERE L2.branchname = 'SR Nagar');
Consider two distinct positive numbers \( m, n \) with \( m > n \). Let \[ x = n^{\log_n m}, \quad y = m^{\log_m n}. \] The relation between \( x \) and \( y \) is -