Question

If n\equiv 63\mod 60 then what is the residue of n modulo 6?

Answer 1

any guesses?

Answer 2

not really? *smiles dumbly*

Answer 3

one hint is \(63\equiv 63\text{ mod } 60)\)

Answer 4

so n could be 63...

Answer 5

i have to say it is a little weird to say that \(n\equiv 63( \text { mod }60)\)

Answer 6

it is the same as saying \(n\equiv 3( \text { mod }60)\)

Answer 7

just making sure but by residue they mean...?

Answer 8

remainder when you divide

Answer 9

gah! I'm so stupid *pounds forehead against the keyboard* XD

Answer 10

not too hard when you know what the question is right?

Answer 11

heehee :D

Answer 12

numbers that are congruent to 63 mod 60 are
3, 63 , 123 , 183 , ...

Answer 13

so the residue is 3?