2025 · Q2
What is the sum of all 3-digit numbers that give a remainder of 5 when they are divided by 50 ?
Elementary MathematicsNumber System
- A9005
- B9540
- C9600
- D9640
Explanation
The required numbers are 105, 155, …, 955 — an arithmetic progression with first term 105 and common difference 50. The number of terms is (955 − 105)/50 + 1 = 18. Their sum is (18/2)(105 + 955) = 9 × 1060 = 9540, option (b).