जब (265)4081 + 9 को 266 से विभाजित किया जाए तो शेषफल क्या होगा?

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SSC CGL 2023 Tier-I Official Paper (Held On: 14 Jul 2023 Shift 1)
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  1. 8
  2. 6
  3. 1
  4. 9

Answer (Detailed Solution Below)

Option 1 : 8
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गणना:

(265)4081 + 9, 266 से विभाजित किया जाता है

⇒ (266 - 1)4081 + 9

अब जब 266 से विभाजित किया जाता है,

\( (266 - 1)^{4081}\over 266\) + \(9 \over 266\)

पहले भिन्न से शेषफल (- 1)4081 तथा दूसरे भिन्न से +9 होगा

पूर्ण शेषफल = - 1 + 9 = 8

∴ (265)4081 + 9 को 266 से विभाजित करने पर शेषफल 8 होगा।

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