All of these were inspirations for 15th century european exploration of the western hemisphere except

a)
the desire to spread christianity

b)
the desire to conquer india and china

c)
the desire to establish new trade routes to asia

d)
to search for basic resources and land suitable for farming

b) the desire to conquer India and China  

Explanation:

In the 100 years from the mid-fifteenth to the mid-sixteenth century, a blend of conditions invigorated men to look for new courses, and it was new courses instead of new terrains that filled the psyches of rulers and everyday people, researchers and sailors.

To start with, close to the finish of the fourteenth century, the huge realm of the Mongols was separating; subsequently, Western dealers could never again be guaranteed of safe-lead along the land courses. Second, the Ottoman Turks and the Venetians controlled business access to the Mediterranean and the antiquated ocean courses from the East. Third, new countries on the Atlantic shores of Europe were currently prepared to look for abroad trade and adventure.

just need the points

explanation:

the roman army grew in size and became dominant in the mediterranean region.