Question
Download Solution PDFजब 179 x 172 x 173 को 17 से विभाजित किया जाता है, तो शेषफल ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
जब 179 x 172 x 173 को 17 से विभाजित किया जाता है, तो शेषफल ज्ञात कीजिए।
प्रयुक्त सूत्र:
मॉड्यूलर अंकगणित के गुण का उपयोग करके:
(a x b) mod m = [(a mod m) x (b mod m)] mod m
गणना:
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
∴ सही उत्तर विकल्प 3 है।
Last updated on Jul 21, 2025
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