Correct option is A
Statements:
(1) Some Benches are Nails.
(2) All Benches and Nails are Metal.
(3) Some Woods are Nails.
According to the given information, Venn diagram will be:

Let's analyze all Assumptions:
A. Some Woods are only Metal. (Not Implicit)
This is not implied by the statements. There is no direct connection established that would make some Woods only Metal.
B. Some Woods are only Benches. (Not Implicit)
This is not implied either. The statements don't indicate any exclusive relationship between Woods and Benches.
C. Some Benches are Woods. (Not Implicit)
The statements do not provide a direct link between Benches and Woods, so this assumption is not implicit.
D. Some Metal are Woods. (Implicit)
This is implied because some Woods are Nails and all Nails are Metal , so some Metal can indeed be Woods.
A. Some Woods are only Metal. (Not Implicit)
This is not implied by the statements. There is no direct connection established that would make some Woods only Metal.
B. Some Woods are only Benches. (Not Implicit)
This is not implied either. The statements don't indicate any exclusive relationship between Woods and Benches.
C. Some Benches are Woods. (Not Implicit)
The statements do not provide a direct link between Benches and Woods, so this assumption is not implicit.
D. Some Metal are Woods. (Implicit)
This is implied because some Woods are Nails and all Nails are Metal , so some Metal can indeed be Woods.
Thus, the correct option is (a)D