Question
Download Solution PDF35460 में कौन-सी सबसे छोटी संख्या जोड़ी जानी चाहिए ताकि योग 3, 4, 5 और 7 से पूरी तरह विभाजित हो जाए?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
संख्याएँ 3, 4, 5 और 7 हैं।
प्रयुक्त अवधारणा:
वह छोटी से छोटी संख्या जो a, b, और c से पूरी तरह से विभाज्य हो, a, b, और c का लघुत्तम समापवर्त्य होती है।
गणना:
3, 4, 5 और 7 का लघुत्तम समापवर्त्य 420 है।
अब,
420 को 35460 से भाग देने पर शेषफल 180 प्राप्त होता है।
इसलिए,
आवश्यक संख्या जिसे 420 के अगले गुणज में जोड़ा जाना चाहिए = 420 - 180
⇒ 240
∴ अभीष्ट संख्या 240 है।
Last updated on Jun 11, 2025
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