Concept:
Assertion-Reason questions test both factual correctness and logical relationship between the statements.
Step 1: Examine Assertion (A).
The statement says:
\[
\text{Tagore's Gitanjali was published in 1912.}
\]
This is historically correct.
Hence, Assertion (A) is true.
Step 2: Examine Reason (R).
The statement says:
\[
\text{Tagore got the Nobel Prize for Literature in 1913.}
\]
This is also correct.
Hence, Reason (R) is true.
Step 3: Check whether (R) explains (A).
Although both statements are true, the Nobel Prize in 1913 does not explain why Gitanjali was published in 1912.
The two facts are related historically but not logically explanatory.
Step 4: Conclusion.
Therefore:
\[
\boxed{\text{Both (A) and (R) are correct but (R) is not the correct explanation of (A).}}
\]