The term FRUIT WITH A CORE can be solved by two crossword solutions: APPLE (5 letters) and PEAR (4 letters). Apples and pears are two of the most popular fruits in the world, and both have a core that contains seeds. Apples are round and come in a variety of colors, while pears are usually PEAR-shaped and have a softer texture than apples. Both fruits are rich in vitamins and minerals, making them a healthy snack.