If "d" divided by 7 has a remainder of 1, which of the following divided by 7 has a remainder of 6?
the choices are:
1. d-6
2. d-5
3. d-4
4. d-3
5. d-2
differences of ±7 leave the remainder unchanged. That means that since we want to increase the remainder by 5, we can either add 5 or subtract 2 (add 5 and subtract 7) from the number.
d-2
To find the answer, we need to determine which option, when divided by 7, leaves a remainder of 6. Let's go through the options one by one and check if they meet this requirement.
Option A: Divide A by 7, and check if the remainder is 6.
Option B: Divide B by 7, and check if the remainder is 6.
Option C: Divide C by 7, and check if the remainder is 6.
Option D: Divide D by 7, and check if the remainder is 6.
Option E: Divide E by 7, and check if the remainder is 6.
To do this, we can use a simple approach. We know that "d" divided by 7 has a remainder of 1. Therefore, any number that is 5 more than "d" would leave a remainder of 6 when divided by 7.
So, option E must be "d + 5" since we want to find a number that gives a remainder of 6 when divided by 7.
Therefore, the correct answer is option E.