Question
Download Solution PDF238 - 29 को 22 से विभाजित करने पर कितना शेषफल बचेगा?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
हमें 22 से भाग देने पर 238 - 29 के शेषफल को ज्ञात करना है।
प्रयुक्त सूत्र:
मॉड्यूलर अंकगणित का उपयोग करते हुए, हम गणना करते हैं:
(an - b) mod m
गणना:
23 ≡ 1 (mod 22), क्योंकि 22 से भाग देने पर 23 का शेषफल 1 बचता है।
⇒ 238 ≡ 18 (mod 22)
⇒ 238 ≡ 1 (mod 22)
अब, (1 - 29) mod 22 की गणना करते हैं:
⇒ (1 - 29) ≡ -28 (mod 22)
⇒ -28 ≡ 16 (mod 22) (क्योंकि -28 + 22 = -6 और -6 + 22 = 16)
∴ शेषफल 16 है।
Last updated on Jan 23, 2025
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