If N = (243 + 253 + 263 + 273) is divided by 102, then find the remainder.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 0.
N = (243 + 253 + 263 + 273)
⇒ N = 13824 + 15625 + 17576 + 19683
⇒ N = 66708
Now,
⇒ N/102 = 66708/102 = 654
Hence, it is completely divisible by 102 so, the remainder will be zero