There are six books A, B, C, D, E and F. B, C and E have blue covers while the rest have red covers. D and F are new books while the rest are old books. A, C and D are law reports while the rest are of physics. Which is the red covered new law report book?

Let us systematically classify the attributes of each book:
* Covers: Blue = $\{B,C,E\}$; Red = $\{A,D,F\}$
* Age: New = $\{D,F\}$; Old = $\{A,B,C,E\}$
* Subject: Law reports = $\{A,C,D\}$; Physics = $\{B,E,F\}$

We need to identify the book that is simultaneously Red covered, New, and a Law report:

1. Red covered books are: $A,D,F$
2. Out of $A,D,F$, the new ones are: $D,F$
3. Between $D$ and $F$, the one classified as a law report is: $D$

Hence, $D$ is the red covered new law report book.