A number leaves reminder 6 when divided by 10. What is the remainder when the number is divided by 5? Justify your reasoning.
1 and 2 can go into both without a remainder.
11.5
7.1667
7.1667
6
57
No number can satisfy these conditions: To have a remainder of 1 when divided by 6, the number must be odd (as all multiples of 6 are even and an even number plus 1 is odd) To have a remainder of 2 when divided by 8, the number must be even (as all multiples of 8 are even and an even number plus 2 is even) No number is both odd and even. → No number exists that has a remainder of 1 when divided by 6, and 2 when divided by 8.
301 is one such number.
24
7, 37, 67, 97, 127, and an infinite number of other numbers in this series (starting with 7 and increasing in increments of 30) have a remainder of 1 when divided by 6 and a remainder of 2 when divided by 5.
37
103
A multiple of 6 is any whole number that can be divided by 6 with no remainder. 1 divided by 6 is zero remainder one. Therefore, 1 is not a multiple of 6.
301
How about 13/7 = 1 with a remainder of 6 as one example
6