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1. The remainder , when (22225555 + 55552222) is divided by 7, is

Solution:
an + bn is always divisible by (a + b) when n is odd.
So,
(22225555 + 55552222) is always divisible by (2222 + 5555) = 7777
And 7777 is multiple of 7,
so (22225555 + 55552222) is divisible by 7

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