Question
Download Solution PDFएक नैसर्गिक संख्या, जेव्हा 4, 5, 6 किंवा 7 ने विभाजित केली जाते तेव्हा प्रत्येक बाबतीत उर्वरित 3 बाकी असतात. अशा सर्व संख्यांपैकी सर्वात लहान संख्या काय आहे?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिल्याप्रमाणेः
संख्या = 4, 5, 6 किंवा 7
जेव्हा संख्येला वरील संख्यांनी भाग दिल्यासउर्वरीत बाकी = 3
वापरलेली संकल्पना:
दिलेल्या संख्याचा लसावि शोधा.
लसावि- सर्वात लहान संख्या जी दिलेल्या संख्येद्वारे पूर्णपणे विभाजनीय असेल
उर्वरित बाकी 3 सोडणार्‍या संख्येचा शोध घेण्यासाठी, ती (लसावि+ 3) असेल
गणना:
4, 5, 6 आणि 7 चा लसावि = 7 × 5 × 3 × 2 × 2 = 420
उर्वरित बाकी 3 सोडणारी संख्या 3 = 420 + 3
⇒ 423
म्हणून योग्य उत्तर 423 आहे.
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