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The remainder when 784 is divided by 342 is :
Answer & Solution
Correct Answer:
Option
B
784 = (73)28 = (343)28
Now, (xn - an) is divisible by (x - a) for all values of n
∴ [(343)28 - 1] is divisible by (343 - 1)
⇒ [(343)28 - 1] is divisible by 342
⇒ (784 - 1) is divisible by 342
⇒ On dividing 784 by 342, we get 1 as remainder.
Now, (xn - an) is divisible by (x - a) for all values of n
∴ [(343)28 - 1] is divisible by (343 - 1)
⇒ [(343)28 - 1] is divisible by 342
⇒ (784 - 1) is divisible by 342
⇒ On dividing 784 by 342, we get 1 as remainder.
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