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

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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This question belongs to Arithmetic Ability Number System

Number System

?

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

A) 4 B) 5 C) 0 D) 2 E) None of these

Answer & Solution

Correct Answer: Option C

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

Question posted by Examveda

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Subrat Das 3 years ago

please read the question carefully before attempt to answer .

Gaurav Singh 7 years ago

BUT HERE POWER IS NOT SAME SO HOW WE USE THIS FORMULA IN THIS QUESTION ?

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