#6 Remainder Theorem (Part 6) | Fermat's little theorem - Remainder in 5 sec if divided by prime no
To make you understand Remainder Theorem thoroughly , we have brought 12 video lessons of 15 to 20 minutes each and this is the 6th lesson in the series.
Watch Remainder Theorem (Part 4), here - • #4 Remainder Theorem ...
Watch Remainder Theorem (Part 5), here - • #5 Remainder Theorem ...
Understand the entire NUMBER SYSTEM here - • Number System
We are solving the remainders for the following problems -
1)2^90 is divided by 89
2) 39^22 is divided by 7
3) 17^433 is divided by 109
4) 12^114 is divided by 17
5) 659 is divided by 11
6) 30^100 is divided by 17
After watching the entire series of 12 video lessons on Remainder Theorem, you will understand -
1) How to find remainders?
2) The concept of negative remainders?
3) Theory of common factors?
4) Fermat's Little Theorem
5) Euler's Totient Theorem
6) Wilson Theorem
7) Application of Binomial theory to find remainders?
𝐓𝐨 𝐤𝐧𝐨𝐰 𝐦𝐨𝐫𝐞 𝐚𝐛𝐨𝐮𝐭 𝐮𝐬:
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this channel really needs a million subscribers ! thank you so much sir, I wasn't able to understand the fermat's algorithm due to its notation but you made it really easy !
@aptitude360.online
2 ай бұрын
I hope you learned from it.
sir you are great you made me understand this thing very easily
Awsm understanding sir
Very clear❤
Thank you so much Keep doing the good work ☺️
@aptitude360.online
Жыл бұрын
Thanks Nehal for learning with us.
very nice class
Thanku so much sir This video is gonna be very helpful for my tomorrow's viava
@aptitude360.online
2 жыл бұрын
Which examination you are preparing for Garima. Please let your friends know about our channel if you like the content here.
Thanks sir
Thankyouuu !!!
Can we take numerator as a prime and denominator as a composite. (as both were coprime to each other)
Thanks
Thank you sir 🙏
@aptitude360.online
Жыл бұрын
Thank you so much Krishan. Please invite your friends on the platform too.
At 19.50 power is 114 not 144..
@aptitude360.online
Жыл бұрын
Hi Rajan, there may have been the mistake. But I hope that you liked the content.
@rajaroychowdhury6396
Жыл бұрын
Same problem,remainder 2
@064sundarampan8
4 ай бұрын
It should be answer 8
I've never seen such type of video's.... i liked so much.... my all confusion is now cleared
@aptitude360.online
Жыл бұрын
Thank you Ajay. I hope you will Crack Your exam. Please go to Arithmetic and Number System playlist. These video lessons are fantastic. And, help us grow by sharing our lessons with your friends.
What is the relevance of fermats rule if we can solve all this question with the help of Euler's remainder theorem as well
@aptitude360.online
Жыл бұрын
Hi Avnish, I would say that Fermat's theorem is the subset of Euler's theorem. In speed based test, Fermat's is helpful but in exams like CAT, XAT and GMAT Euler's is helpful.
20:03 mein question kya hae aur answer kya hae?
Thank you sir 🙏🏼
@aptitude360.online
Жыл бұрын
We hope that you have seen all the videos on Remainder theorem.
@RamIndlaS
Жыл бұрын
@@aptitude360.online yes sir
@RamIndlaS
Жыл бұрын
@@aptitude360.online your shortcut methods and your explanation is excellent sir....these methods are very helpful to my preparation once again thank you very much sir 🙏🏼
In the last example, you've made 17 to 16..but the answer will be same in either case.. b'coz 168*169 /17 will be -1*-1., by the concept of negative remainders, so the product will be +1... Well, i think this is a silly mistake from your side..
Base - prime number Power - base-1 Num and den should be coprime. Remainder is always be 1
@aptitude360.online
Жыл бұрын
Bingo...You explained it so well.
@hope_is_music277
Жыл бұрын
Thank you sir for all your efforts., you are an awesome teacher! Pls continue to post such conceptual videos.
I have applied the negative remainder theorem for the problems you explained, but it gives a different remainder. how can I know which one needs to apply?
@aptitude360.online
3 ай бұрын
Will you please send us the questions where you are teying to apply this
at 24:04 he seems to switch the denominator from 17 to 16 by mistake?
@sachinkachhava7672
2 жыл бұрын
yes
excellent video
@aptitude360.online
2 ай бұрын
Glad you liked it! Naveen
If 12¹¹⁴ is divided by 17 then the remainder will be 8
Why did you make 30 to 13 and 17 to 16 in the last problem sir?
@rishabhsingg803
Жыл бұрын
Because 17 divided by 30 remainder will be 13
Sir @ 18:58 the question you did was different from that was printed on the screen. That being the case won't the remainder be 8 for the question 12 ^114 divided by 17 ?
@aptitude360.online
2 ай бұрын
Yes Deepthy,, it was an unintentional mistske. But I hope that you understood the concepts
@deepthysusanjays8610
2 ай бұрын
@@aptitude360.online yes sir. The concepts were very clear. Thank you so much
Sir how you take 12^114 as 12^144
@sachinkachhava7672
2 жыл бұрын
by mistake
I wish I could understand what you are saying! :(
If p isn't a prime number then how can we solve it? Like 2020^2020/12=?
@priyanshukumar-zn3jl
2 жыл бұрын
You can make it's factors in prime
@crusader8331
Жыл бұрын
12- 3*4
@OHIOGYATTRIZZLER
Жыл бұрын
What is the answer?
Using Fermat's Thm: Find the remainder when 2^1111 is divided by 11.
18:14 yaha pe question pe 12^114 hain,,na ki 12^144....
Nycc
chawlian e mari hn basic bhhhhht pechy le gy hooo
144 nhi hai sir 114 hai
@aptitude360.online
Жыл бұрын
Hello Dhannu, it is 144. It may have been done by mistake. But, I hope that you learned the concept.
@sassyceo3825
2 ай бұрын
@@aptitude360.onlinesir can you tell the answer for this ?
Sir Urdu main best smaj at hy please
@sunilkumarpradhan.4376
2 жыл бұрын
Tum kaho toh...Arabi mein padha dein..??
@mashraf7575
2 жыл бұрын
@@sunilkumarpradhan.4376 Han ye to aur v best hy
Thank you sir
@aptitude360.online
Жыл бұрын
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