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JEE Previous Year Question

$The remainder when ((64)^{(64)})^{(64)} is divided by 7 is equal to$

Topic: JEE PYQ

Answer: D. Full step-by-step solution below.

A $4$
B $6$
C $3$
D $1$

Correct answer: D

Solution

(d) 64^{64} \Rightarrow (63 + 1)^{64} = 63 λ + 1 64^{64^{64}} \Rightarrow (63 + 1)^{64^{64}} 63 λ_{1} + 1 Required remainder when divided 7 is 1.

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