Question
Download Solution PDF179 x 172 x 173 ని 17 చే భాగించగా వచ్చే శేషం ఎంత?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFఇవ్వబడింది:
179 x 172 x 173 ని 17 చే భాగించగా వచ్చే శేషాన్ని కనుగొనండి.
ఉపయోగించిన సూత్రం:
మోడ్యులర్ అంకగణితం యొక్క లక్షణాన్ని ఉపయోగించి:
(a x b) mod m = [(a mod m) x (b mod m)] mod m
గణన:
179 mod 17 = 179 - (17 x 10) = 179 - 170 = 9
172 mod 17 = 172 - (17 x 10) = 172 - 170 = 2
173 mod 17 = 173 - (17 x 10) = 173 - 170 = 3
⇒ 179 x 172 x 173 mod 17 = (9 x 2 x 3) mod 17
⇒ 54 mod 17 = 54 - (17 x 3) = 54 - 51 = 3
∴ సరైన సమాధానం 3వ ఐచ్చికం.
Last updated on Jul 22, 2025
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