`P square Q=P+2Q` for all integers P and Q
`{:("Quantity A","Quantity B"),(11 square5, 5square 11):}`

Answer

To solve the problem, we need to evaluate the two expressions defined by the operation \( P \square Q = P + 2Q \) for the given values in Quantity A and Quantity B.

### Step-by-step Solution:

1. **Identify the operation**: The operation defined is \( P \square Q = P + 2Q \).

2. **Evaluate Quantity A**:
- For Quantity A, we have \( 11 \square 5 \).
- According to the operation, we substitute \( P = 11 \) and \( Q = 5 \):
\[ 11 \square 5 = 11 + 2 \times 5 \]
- Calculate \( 2 \times 5 \):
\[ 2 \times 5 = 10 \]
- Now substitute back:
\[ 11 \square 5 = 11 + 10 = 21 \]
- Therefore, Quantity A is \( 21 \).

3. **Evaluate Quantity B**:
- For Quantity B, we have \( 5 \square 11 \).
- Again, using the operation, we substitute \( P = 5 \) and \( Q = 11 \):
\[ 5 \square 11 = 5 + 2 \times 11 \]
- Calculate \( 2 \times 11 \):
\[ 2 \times 11 = 22 \]
- Now substitute back:
\[ 5 \square 11 = 5 + 22 = 27 \]
- Therefore, Quantity B is \( 27 \).

4. **Compare the two quantities**:
- Quantity A = \( 21 \)
- Quantity B = \( 27 \)
- Since \( 27 > 21 \), we conclude that Quantity B is greater than Quantity A.

### Final Conclusion:
- Quantity A is \( 21 \) and Quantity B is \( 27 \). Thus, Quantity B is larger than Quantity A.