Question
Download Solution PDFखालीलपैकी कोणत्या संख्येला 33 ने निःशेष भाग जातो?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेल्याप्रमाणे:
भाजक = 33
वापरलेली संकल्पना:
3 चा विभाज्यता नियम = सर्व संख्यांच्या अंकांची बेरीजेला 3 ने भाग गेला पाहिजे.
गणना:
33 ला 3 × 11 असे व्यक्त केले जाऊ शकत असल्याने.
पहिल्या पर्यायासाठी,
25080 = 2 + 5 + 8 = 15, ला 3 ने भाग जातो.
विषम स्थानावरील आणि सम स्थानावरील संख्यांच्या बेरजेमधील फरक = 2 – (5 + 8) = –11.
-11 ला 11 ने भाग जातो.
दुसऱ्या पर्यायासाठी,
19679 = 1 + 9 + 6 + 7 + 9 = 32, ला 3 ने भाग जात नाही.
तिसऱ्या पर्यायासाठी,
73205 = 7 + 3 + 2 + 5 = 17
17 ला 3 ने भाग जात नाही.
चौथ्या पर्यायासाठी,
27441 = 2 + 7 + 4 + 4 + 1 = 18, ला 3 ने भाग जातो.
विषम स्थानावरील आणि सम स्थानावरील संख्यांच्या बेरजेमधील फरक = (2 + 4 + 1) – (7 + 4) = –4.
-4 ला 11 ने भाग जात नाही.
म्हणून, ज्या संख्येला 33 ने निःशेष भाग जातो ती 25080 आहे.
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