Question

When y is divided by 6, the remainder is 4. What will be the remainder if y-6 is divided by 3 ?

a. 0
b. 1
c. 2
d. 3
e. 4

my answer is b. 1 , but teacher give me the answer is d. 3 , I don't understand, anyone can explain

Answer 1

I agree with you.

Dividing by 3 can never give a remainder of 4.

Answer 2

Y is divided by 6, the remainder is 4, so I think 6x6+4=40 , so y=40

40-6/3
=34/3

remainder=1

Answer 3

y can be any number 6x+4
so, y = 3(2x)+3+1
= 3(2x+1) + 1

so, when divided by 3 it leaves a remainder of 1.

Answer 4

so, the teacher give me the wrong answer?

my answer is right