Which of the following statements are true:

(A) Outdoor sports are a proud legacy of Australian culture.

(B) Yoga is a proud legacy of India

(C) Martial art is a proud legacy of Germany.

(D) Gymnastics is a proud legacy of Rome.

Choose the correct answer from the options given below:

The correct answer is (A) and (B) only.

Let us analyze each statement to understand why this option is correct:

Statement (A): Outdoor sports are a proud legacy of Australian culture.
This statement is true. Australia has a rich sporting history heavily centered around the outdoors due to its favorable climate, vast landscapes, and coastal lifestyle. Outdoor sports like cricket, rugby, surfing, and Australian rules football (AFL) are deeply embedded in the nation's culture, identity, and history.

Statement (B): Yoga is a proud legacy of India.
This statement is true. Yoga is an ancient physical, mental, and spiritual practice that originated in India thousands of years ago. It is universally recognized as one of India's most significant cultural and philosophical legacies to the world.

Statement (C): Martial art is a proud legacy of Germany.
This statement is false. While Germany has modern combat sports and historically developed European martial arts (HEMA) systems in the Middle Ages, martial arts as a prominent cultural legacy is most widely and globally associated with East Asian countries (such as China, Japan, Korea, and India) rather than Germany.

Statement (D): Gymnastics is a proud legacy of Rome.
This statement is false. Modern gymnastics and the philosophical foundation of physical education through gymnastics are primarily a proud legacy of ancient Greece (where the word "gymnastics" itself originates, from gymnos meaning naked), as well as modern developments in Germany and Sweden in the 18th and 19th centuries, rather than ancient Rome (which focused more on military training and gladiatorial spectacles).

Therefore, only statements (A) and (B) are correct, which corresponds to the option (A) and (B) only.