72n + 16n - 1 किससे विभाज्य है (n ∈ N)?

  1. 64
  2. 49
  3. 13
  4. 25

Answer (Detailed Solution Below)

Option 1 : 64
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गणना:

S = 72n + 16n - 1

n = 1 के लिए 

S = 49 + 16 - 1 = 64

n = 2 के लिए 

S = 2401 + 32 - 1 = 2432 = 64 × 32, जो 64 से विभाज्य है। 

∴ विकल्प 1 सही है। 

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