Geek3610 Geek3610
  • 24-08-2019
  • Mathematics
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Determine whether the congruence is true or false.
12 ≡ 10 mod 5

Respuesta :

pinquancaro pinquancaro
  • 28-08-2019

Answer:

The given congruence is false.

Step-by-step explanation:

Given : Expression [tex]12 \equiv 10 \mod 5[/tex]

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

Solution :

The congruence is in the form [tex]x\mod y\equiv r[/tex]

where, x is the dividend

y is divisor

r is the remainder

So, We find  [tex]10 \mod 5[/tex]

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

[tex]10 \mod 5=0[/tex]

As [tex]0\neq 12[/tex]

Therefore, The given congruence is false.

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