Question

When a certain number, r, is divided by 8, there is a remainder of 7. What is the remainder when x is divided by 4?

a) 0
b) 1
c) 2
d) 3

Answer 1

The remainder when x is divided by 4 is 3 (d).

Step-by-step explanation:

To find the remainder when x is divided by 4, we can use the fact that when r is divided by 8, there is a remainder of 7. Since the remainders repeat in cycles of the divisor, we can write r as 8a + 7, where a is a whole number. To find the remainder when x is divided by 4, we substitute r = 8a + 7 into the equation x = r0, where 0 is the divisor. So x = (8a + 7)0 = 7, which means the remainder when x is divided by 4 is 3 (d).