Explanation:

The relationship between the words "Nalanda" and "Takshshilaa" is that they are both names of ancient educational institutions or centers of learning.

Nalanda: Nalanda was an ancient center of learning in India, located in present-day Bihar. It was one of the most renowned universities in the world during its time, attracting scholars and students from various parts of the world.

Takshshilaa: Takshshilaa, also known as Taxila, was another ancient center of learning located in present-day Pakistan. It was a prominent educational institution during the ancient times and was known for its teachings in various subjects like Vedas, grammar, philosophy, medicine, etc.

Both Nalanda and Takshshilaa were centers of higher education and played a significant role in the spread of knowledge and learning during their respective periods.

Applying the relationship:

Now, let's examine the given options and apply the same relationship to find the words that bear a similar relationship.

Venus : Mars - Venus and Mars are both planets in our solar system. However, they do not have the same relationship as Nalanda and Takshshilaa. Therefore, this option can be eliminated.

University : College - Universities and colleges are both educational institutions, but the relationship is not the same as Nalanda and Takshshilaa. Universities are higher education institutions that offer a wide range of undergraduate and postgraduate programs, while colleges often focus on specific fields of study or offer only undergraduate programs. Therefore, this option can be eliminated.

Office : Department - Offices and departments are related in the sense that they are both part of an organization or institution. However, this relationship is different from the relationship between Nalanda and Takshshilaa, which are specific types of educational institutions. Therefore, this option can be eliminated.

Ship : Cargo - Ships and cargo are related in the sense that ships are used to transport cargo. However, this relationship is not the same as the relationship between Nalanda and Takshshilaa. Therefore, this option can be eliminated.

Conclusion:

After analyzing all the options, we can conclude that the words "Nalanda" and "Takshshilaa" have the same relationship as the words "Venus" and "Mars" do not have the same relationship, "University" and "College" do not have the same relationship, "Office" and "Department" do not have the same relationship, and "Ship" and "Cargo" do not have the same relationship. Therefore, the correct answer is option A.