Integer Relationship Evaluation

Consider an integer $n$. The integer $n$ is defined such that:

1. When $n$ is divided by $6$, the remainder is $4$.

2. When $n$ is divided by $5$, the remainder is $3$.

Based on this information, evaluate the following quantities:

Quantity A: The smallest possible positive value of $n$.

Quantity B: The largest possible positive value of $n$ less than $30$.