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There is a rule that says "If a/b = c with remainder d, then bc + d = a480ocean wrote:When 10 is divided by the positive integer n, the remainder is n-4. Which of the following could be the value of n?
a. 3
b. 4
c. 7
d. 8
e. 12
Answer is C
In this case since n-4 is a remainder n-4 must be non-negative.Brent Hanneson wrote:There is a rule that says "If a/b = c with remainder d, then bc + d = a480ocean wrote:When 10 is divided by the positive integer n, the remainder is n-4. Which of the following could be the value of n?
a. 3
b. 4
c. 7
d. 8
e. 12
Answer is C
In other words, we can "build/recreate" a with the other information.
For example: 17/5 = 3 with remainder 2
We can build/recreate 17 as follows: (3)(5) + 2 = 17
Here we are told that 10/n = k (some integer) with remainder n-4
We can "build/recreate" 10 as follows: nk + (n-4) = 10
Simplify: nk + n = 14
or n(k+1)=14
Since n and k+1 are both positive integers, then n must equal 1, 2, 7, or 14Only 1 of those (7) appears in the answer choices.
100% correct - the answer must be either 7 or 14 to make n-4 a positive remainder.In this case since n-4 is a remainder n-4 must be non-negative.
So n>=4. So n must be 7 or 14. Is this correct or not?
Yes, what you said is definitely true. For those of you who want to solve this with the options given, you can eliminate the first option straight away as n>=4.ven4gmat wrote:In this case since n-4 is a remainder n-4 must be non-negative.Brent Hanneson wrote:There is a rule that says "If a/b = c with remainder d, then bc + d = a480ocean wrote:When 10 is divided by the positive integer n, the remainder is n-4. Which of the following could be the value of n?
a. 3
b. 4
c. 7
d. 8
e. 12
Answer is C
In other words, we can "build/recreate" a with the other information.
For example: 17/5 = 3 with remainder 2
We can build/recreate 17 as follows: (3)(5) + 2 = 17
Here we are told that 10/n = k (some integer) with remainder n-4
We can "build/recreate" 10 as follows: nk + (n-4) = 10
Simplify: nk + n = 14
or n(k+1)=14
Since n and k+1 are both positive integers, then n must equal 1, 2, 7, or 14Only 1 of those (7) appears in the answer choices.
So n>=4. So n must be 7 or 14. Is this correct or not?
I feel for such questions, we should simply plug-in to quickly identify the right choice. As mentioned by others, choice a can be ruled out as the reminder can never be a negative number.480ocean wrote:When 10 is divided by the positive integer n, the remainder is n-4. Which of the following could be the value of n?
a. 3
b. 4
c. 7
d. 8
e. 12
Answer is C
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