Question
Download Solution PDFखालीलपैकी कोणत्या संख्येला 11 ने भाग जातो?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFगणना:
11 ची विभाज्यता कसोटी
ही कसोटी सांगते की दिलेल्या संख्येला केवळ 11 ने निःशेष भागले जाऊ शकते जर विषम स्थानावरील अंकांची बेरीज 0 किंवा 11 असेल.
(1) 97174
सम स्थानावरील अंकांची बेरीज = 9 + 1 + 4 = 14
विषम स्थानावरील अंकांची बेरीज = 7 + 7 = 14
फरक = 14 - 14 = 0
फरक 0 असल्याने, 97174 ला 11 ने भाग जातो.
(2) 56923
सम स्थानावरील अंकांची बेरीज = 5 + 9 = 14
विषम स्थानावरील अंकांची बेरीज = 6 + 2 + 3 = 11
फरक = 14 - 11 = 3
फरक 11 चा गुणाकार नसल्यामुळे, 56923 हा 11 ने भाग जात नाही.
(3) 63962
सम स्थानावरील अंकांची बेरीज = 3 + 9 + 2 = 14
विषम स्थानावरील अंकांची बेरीज = 6 + 6 = 12
फरक = 14 - 12 = 2
फरक 11 चा गुणाकार नसल्यामुळे, 63962 हा 11 ने भाग जात नाही.
(4) 17295
सम स्थानावरील अंकांची बेरीज = 1 + 2 = 3
विषम स्थानावरील अंकांची बेरीज = 7 + 9 + 5 = 21
फरक = 3 - 21 = -18
फरक 11 चा गुणाकार नसल्यामुळे, 17295 ला 11 ने भाग जात नाही.
∴ 11 ने निःशेष भाग जाणारी संख्या 97174 आहे.
Last updated on Jun 25, 2025
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