Multiple Choice Question
Find the greatest 4-digit number which is exactly divisible by 12, 15, and 18.वह 4-अंकों की सबसे बड़ी संख्या ज्ञात कीजिए जो 12, 15 और 18 से पूर्णतः विभाज्य हो।
Explanation:
LCM of 12, 15, 18 is 180. Largest 4-digit number is 9999. 9999 / 180 leaves remainder 99. So, 9999 - 99 = 9900. Wait, 180*55 = 9900. Let's re-calculate. LCM(12,15,18) = 180. 9999/180 -> 180*50=9000, 180*5=900. 9900 is divisible by 180. Let me adjust options. Actually, 9900 is correct. Let's check 9900 / 180 = 55. Option A is 9900.
LCM(12, 15, 18) = 180। 4 अंकों की सबसे बड़ी संख्या 9999 को 180 से भाग देने पर 99 शेष बचता है। अतः 9999 - 99 = 9900।