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4^¹¹ + 4^¹² + 4^¹³ + 4^¹⁴ is divisible by

Answer : Option C

Explanation :

Expression = 4^¹¹ + 4^¹² + 4^¹³ + 4^¹⁴

= 4^¹¹ (1 + 4 + 4^² + 4^³) = 4^¹¹ (1 + 4 + 16 + 64)

= 4^¹¹ × 85 which is exactly divisible by 17.