What is the greatest five-digit number that is completely divisible by 8, 15, 16, 21 and 5?
What is the greatest five-digit number that is completely divisible by 8, 15, 16, 21 and 5?
वह सबसे बड़ी पाँच अंकों की संख्या कौन-सी है जो 8, 15, 16, 21 और 5 से पूर्णतः विभाजित हो जाती है?
Detailed Solution & Logic
Correct Answer:
99120
LCM of 8, 15, 16, 21 and 5 = 1680. The greatest five-digit number is 99999.
1680 से 99999 को भाग देने पर शेषफल 879 प्राप्त होता है।
Therefore, 99999 − 879 = 99120.
8, 15, 16, 21 और 5 का लघुत्तम समापवर्त्य (LCM) = 1680 है। सबसे बड़ी पाँच अंकों की संख्या 99999 है।
99999 में से 879 घटाने पर 99120 प्राप्त होता है। अतः सही उत्तर 99120 है।
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