What will be the remainder when (265)4081+ 9 is divided by 266?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 8.
(265)4081 + 9 is divisible by 266
⇒ (266 - 1)4081 + 9
Dividing the value by 266
⇒ (266 - 1)4081/266 + 9/266
The remainder we get,
From the first fraction = (-1)4081 = -1
From the second fraction = 9
Remainder from (265)4081 + 9 = -1 + 9 = 8
Hence, 8 will be the remainder when (265)4081 + 9 is divisible by 266.