If (11)^ 27 + (21)^ 27 when divided by 16 leaves the remainder - Vidyadip

MCQ

If $(11)^{27} + (21)^{27}$ when divided by $16$ leaves the remainder

✓
$0$
B
$1$
C
$2$
D
$14$

✓

Answer

Correct option: A.

$0$

a
$a^n + b^n = (a + b) (Q (a, b) )$ if $n$ is odd

alternatively :

interpret from $(16 - 5)^{27} + (16 + 5)^{27}$

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