Q. The remainder when $(3 2^{32})^{32}$ is divided by $7$ , is

2096 283 Binomial Theorem Report Error

A

$2$

19%

B

$4$

36%

C

$6$

30%

D

$5$

16%

Solution:

$(3 2^{32})^{32} = 3 2^{1024} = (28 + 4)^{1024}$
$= 4 +$ a multiple of $28$ .
$= 4 +$ a multiple of $7$ .