Which natural number nearest to 8485 is exactly divisible by 75?

Given data

• Find the multiple of 75 closest to 8485.

Concept / Approach

• Compute nearest lower and higher multiples and compare distances.

Step-by-step calculation

75 × 113 = 7500 + 975 = 8475Next multiple: 8475 + 75 = 8550Distances: |8485 − 8475| = 10; |8550 − 8485| = 65Nearest multiple is 8475.

Common pitfalls

• Rounding 8485 to the nearest hundred first; always check exact distances to adjacent multiples.

Final Answer

8475