$4^{61} + 4^{62} + 4^{63} + 4^{64}$ is divisible by

3

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10

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11

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13

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Solution

The correct option is C $10$
$(4^{61} + 4^{62} + 4^{63} + 4^{64}) = 4^{61} \times (1 + 4 + 42 + 43) = 461 \times 85$
$= 4^{60} \times (4 \times 85)$
$= (4^{60} \times 340)$ ,
which is divisible by $10.$

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