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Gwar [14]
3 years ago
12

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

Mathematics
1 answer:
dolphi86 [110]3 years ago
8 0

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.

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