72n + 16n - 1 is divisible by (n ∈ N):

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

Answer (Detailed Solution Below)

Option 1 : 64
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NDA 01/2025: English Subject Test
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Detailed Solution

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Calculation:

S = 72n + 16n - 1

For n = 1

S = 49 + 16 - 1 = 64

For n = 2 

S = 2401 + 32 - 1 = 2432 = 64 × 32, which is divisible by 64

∴ Option 1 is correct

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