2025 · Q30
What is the smallest four-digit number N which leaves remainder 3 when divided by 4, 6, 7, or 9?
Elementary MathematicsNumber System
- A1005
- B1007
- C1009
- D1011
Explanation
N-3 must be a common multiple of 4,6,7,9, i.e. of lcm=252. Smallest 4-digit: 252*4+3=1011. Forgetting that N-3 (not N) is the multiple is the common slip.