In the last question, why have we taken the half of 12n + 8? Shouldn’t we say that a number 12n+8 will be of the form 6k+2, and with 30, the possible remaineders are 2, 8, 14, 20 and 26?
Because the question asks “what could be the remainder when half the number is divided by 30?”. Your answer would be fine if it had asked for the original number to be divided by 30.
Yes A, there is. All the posts on a given topic are tagged, so if you go to the tag cloud at the side of the blog and click on, say, remainders, you will end up here: https://cat100percentile.com/tag/remainders/ and will find all the relevant posts together. Just scroll to the bottom and start reading from there!
It is amazing what you have done with this blog! Thank you so much. I feel like thanking you on each and every post, but then thought it would be a disturbance (notifications) considering your quick replies. Thank you for all the previous posts and the coming ones as well.
CAT-holics 
You can’t imagine how useful this stuff is ??? Thanx guys….
You’re welcome Adi, glad to help 🙂
J
Really helpful 🙂
In the last question, why have we taken the half of 12n + 8? Shouldn’t we say that a number 12n+8 will be of the form 6k+2, and with 30, the possible remaineders are 2, 8, 14, 20 and 26?
Because the question asks “what could be the remainder when half the number is divided by 30?”. Your answer would be fine if it had asked for the original number to be divided by 30.
regards
J
Hey J,
Thanks a lot for taking the effort to create this. Just wanted to confirm if there was a follow up post on this with more advanced remainder theory.
The next post appears to be one on root words. Many thanks for your time and help.
Rgds,
A
Yes A, there is. All the posts on a given topic are tagged, so if you go to the tag cloud at the side of the blog and click on, say, remainders, you will end up here: https://cat100percentile.com/tag/remainders/ and will find all the relevant posts together. Just scroll to the bottom and start reading from there!
regards
J
It is amazing what you have done with this blog! Thank you so much. I feel like thanking you on each and every post, but then thought it would be a disturbance (notifications) considering your quick replies. Thank you for all the previous posts and the coming ones as well.
You’re welcome 🙂 And no need to like each and every post either, just enjoy them (and get a good score)!
regards
J
This is really helpful….only one thing I can say is THANK YOU so much “J”.