HCF & LCM · Question 14 · Hard
What is the largest 4-digit number which leaves a remainder of 3 when divided by 4, 7 or 13?
- 9828
- 9475
- 9831
- 9919
Answer and explanation
Answer: C. 9831
Explanation: LCM(4, 7, 13) = 364. The largest multiple of 364 below 10000 is 364 × 27 = 9828. Adding the remainder: 9828 + 3 = 9831.
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