The correct statement regarding the relationship between the Inca and Spain in history is: The Spanish invaded the Inca Empire looking for gold and riches.
When the Spanish conquistadors, led by Francisco Pizarro, arrived in the early 16th century, they sought to conquer the Inca Empire and exploit its wealth, particularly its gold and silver. The conquest resulted in the fall of the Inca Empire, significant cultural upheaval, and the colonization of the region. The other statements are inaccurate: the Inca did not give Machu Picchu to the Spanish, the Spanish did not help build Machu Picchu, and the Inca did not learn farming from the Spanish, as they had their own advanced agricultural practices well established before the arrival of the Spanish.