Cubes with each side one inch long are glued together to form a larger cube. The larger cube's face is painted with red color and the entire assembly is taken apart. 24 small cubes are found with no paints on them . How many of unit cubes have at least one face that is painted red?
Choose the correct answer:  A) 64  B) 72  C) 86  D) 98  E) 101

Rationale: "use the options . the options which after getting added to 24 shows a cube of a number could be right . here 64 + 24 = 88 72 + 24 = 96 86 + 24 = 110 98 + 24 = 122 101 + 24 = 125 - - - ( 5 * 5 * 5 ) so we have 101 as the answer ! e"
Answer: E