- A9941
- B9963
- C9921
- D9935
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Concept: Number = (multiple of LCM) + common remainder.
- LCM(9, 18, 23) = 18 × 23 = 414.
- 9999 ÷ 414 → quotient 24, remainder 63; so largest multiple = 9999 − 63 = 9936.
- Add remainder: 9936 + 5 = 9941.
Trick: Options − 5 must be divisible by 414 (i.e. by 2, 9 and 23): 9936 is even with digit-sum 27 → (A).
Answer: (A) 9941
अवधारणा: संख्या = (LCM का गुणज) + समान शेषफल।
- LCM(9, 18, 23) = 18 × 23 = 414
- 9999 को 414 से भाग → भागफल 24, शेष 63; गुणज = 9999 − 63 = 9936
- 9936 + 5 = 9941
ट्रिक: विकल्प − 5 सम हो और अंकों का योग 9 से विभाज्य हो: 9941 − 5 = 9936 ✔
उत्तर: (A) 9941
