What will be the remainder when (265)4081+ 9 is divided by 266?

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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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PYST 1:SSC CGL 2023 - Quantitative Aptitude(Held On:14 Jul 2023 Shift 1)
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Detailed Solution

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Calculation:

(265)4081 + 9 is divisible by 266

⇒ (266 - 1)4081+ 9

Now when divided by 266, 

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

Remainder from first fraction will be (- 1)4081and + 9 from second fraction

Remainder as whole = - 1 + 9 = 8

∴ Remainder when (265)4081+ 9 is divided by 266 is 8.

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