Question

Determine whether the congruence is true or false. 12 ≡ 10 mod 5

Answer 1

Answer:

The given congruence is false.

Step-by-step explanation:

Given : Expression $12 \equiv 10 \mod 5$

To find : Determine whether the congruence is true or false ?

Solution :

The congruence is in the form $x\mod y\equiv r$

where, x is the dividend

y is divisor

r is the remainder

So, We find  $10 \mod 5$

We know, 10 is completely divide by 5 and we get quotient is 2 and remainder is 0.

$10 \mod 5=0$

As $0\neq 12$

Therefore, The given congruence is false.