Question

When the integer N is divided by 7, the quotient is Q and the remainder is 5. When N + 24 is divided by 7, the remainder is _?

Answer 1

@Hero

Answer 2

@Directrix

Answer 3

What is the remainder when 27 is divided by 7?

Answer 4

6, correct?

Answer 5

No. Remainder will be 1.

Answer 6

How come, Easy? Explain, please.

Answer 7

Whoops, I wrote the wrong number. 24 divided by 7 - the remainder is what?

Answer 8

3 would be the remainder.

Answer 9

Here's what I am thinking:

(n + 24) / 7 = n/7 + 24/7 --> Do you agree with that?

Answer 10

Yep.

Answer 11

(n + 24) / 7 = n/7 + 24/7

n/7 has a remainder of 5 (Given)

24/7 has a remainder of 3

What is the sum of the two remainders? @SHSAT-Help

Answer 12

5 + 3 = 8.

Answer 13

Though, that's not one of the answer choices.
The answer choices are:
4
3
2
1
0

Answer 14

Now, divide 8 by 7 to get the remainder when (n + 24) / 7 is divided by 7.

Answer 15

8/ 7 has what remainder?

Answer 16

One.

Answer 17

Yes.

Answer 18

That's the answer? o-o

Answer 19

Suppose n were 12.

Then, n/7 = 12/7 which has a remainder of 5.

So, what is the remainder when (12 + 24) is divided by 7?

36/7 has a remainder of what?

Answer 20

One.

Answer 21

So to answer these type of question, you can guess and check?

Answer 22

That is not a good technique. I gave that as an illustration of the "concept work" from earlier posts in the thread.

Answer 23

Oh yeah, that reminds me.
@Easyaspi314 don't give out answer without explaining. It's against the CoC, and people like me want to learn!

Answer 24

Oh. Let me review your steps for a few minute.

Answer 25

"Now, divide 8 by 7 to get the remainder when (n + 24) / 7 is divided by 7." I don't get that part.

Answer 26

@Directrix