जब (x17 + 1) को (x + 1) से विभाजित किया जाता है, तो शेषफल कितना प्राप्त होगा?

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SSC CGL 2023 Tier-I Official Paper (Held On: 25 Jul 2023 Shift 3)
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  1. x
  2. x - 1
  3. 0
  4. 1

Answer (Detailed Solution Below)

Option 3 : 0
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Detailed Solution

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दिया गया है:

भाज्य = (x17 + 1)

भाजक = (x + 1)

प्रयुक्त अवधारणा:

(an + bn), (a + b) से विभाज्य है, जहाँ n विषम है।

गणना:

(x17 + 117), (x + 1) से विभाज्य है।

इसलिए, शेषफल = 0

∴ सही उत्तर 0 है।

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