Question

What is the remainder when the sum 1⁵ + 2⁵ + 3⁵ + 4⁵ + 5⁵ is divided by 4 ?

Answer 1

Correct Answer - Option 2 : 1

Concept Used:

Divisibility rule of 4:

A number is divisible by 4 if its last two digits are divisible by 4

Calculations :

Remainder when 1⁵  divided by 4 = 1

Remainder when 2⁵ or 32 divided by 4 = 0 

Remainder when 3⁵ or 243 divided by 4 = 3 

Remainder when 4⁵ or 1024 divided by 4 = 0 

Remainder when 5⁵ or 3125 divided by 4 = 1 

Remainder = 1 + 3 + 1 = 5 

Remainder when 5 divided by 4 = 1 

∴ Option 2 will be the correct answer.