Let us analyze both the Assertion (A) and the Reason (R) to determine the correct answer.
Assertion (A): In aqueous solutions, Cr2+ is reducing while Mn3+ is oxidising in nature.
This assertion is true.
The Cr2+ ion has a tendency to be oxidized to Cr3+ because Cr3+ has a more stable electronic configuration.
Therefore, Cr2+ acts as a reducing agent.
On the other hand, Mn3+ tends to stabilize by being reduced to Mn2+, which is a more stable electronic configuration due to having a half-filled d5 subshell (Mn2+: [Ar] 3d5).
Thus, Mn3+ acts as an oxidizing agent.
Reason (R): Extra stability to half filled electronic configuration is observed than incompletely filled electronic configuration.
This reason is also true.
Half-filled and fully filled electron configurations, like those found in Mn2+ and Cr0 respectively, are particularly stable due to symmetry and exchange energy considerations.
This is a reason why certain ions like Mn3+ want to be reduced to Mn2+, and why Cr0 (with a [Ar] 3d5 4s1 configuration) is not as common as Cr3+ (which has a [Ar] 3d3 configuration, and while not half-filled, is favored due to crystal field stabilization energy considerations in octahedral complexes).
If we evaluate these statements together, we see that Assertion (A) is directly related to the electronic configurations and their stability, as asserted by Reason (R).
The stability of half-filled and full orbitals contributes to the observed redox behavior of Cr2+ and Mn3+ in aqueous solutions.
Therefore, the correct answer is Option B: Both (A) and (R) are true and (R) is the correct explanation of (A).