Modular arthimetic equation with multiplication

44 Views Asked by At

Given

(−414×−916)mod12=Y

Identify which one of the following options does NOT give an equivalent expression to that above ?

0

(6+8)mod12

48 mod 12

14 mod 12

I expanded the brackets so

1) -414 * -916 = 379224

379224/12 = 31602

31602 x 12 +0

A = 0 x 12 + 0 (?) I thought it wasnt this answer cos there was no mod in it...

B (6+8) mod 12

= 14/12 = 1 x 12 +2

C 48 mod 12 = 4 x 12 +0

D 14 mod 12 = 1 x 12 +2

1) I am confused as to the difference between B and D

D is stated as the right answer...but I am unsure why

1

There are 1 best solutions below

1
On

HINT: $$(-414)\cdot(-916)=379224=12\cdot 31602$$