2023 · Q23
Consider a 6-digit number of the form XYXYXY. The number is divisible by :
Elementary MathematicsNumber System
- A3 and 7 only
- B7 and 13 only
- C3, 13 and 37 only
- D3, 7, 13 and 37
Explanation
XYXYXY = XY × 10101, and 10101 factorises as 3 × 7 × 13 × 37. Hence the 6-digit number is divisible by each of 3, 7, 13 and 37 (D).