Remainder Theorem Shortcut Technique

[@Raulmndl]

Thank you very much sir! the way you explained it's really easy to keep it mind without effort anytime. simply u make it very easy to us. do upload other parts of arithmetic! eagerly waiting

[@nandeeshgupta1157]

12^107/37

[@yagadasukrishna6448]

(2^4)/5 actually the remainder is 1 ,but when i follow your method it is 2 ..i cant understand why it is like this

[@dipanshuchouhan922]

@vinod sharmai also want this type of problem's solution

[@AmanKumar-si6jw]

@@yagadasukrishna6448 1 hi hoga try again

[@AmanKumar-si6jw]

@vinod sharma 1

[@invectus7171]

43^86=(40+3)^86 . 40^86 is divisible by 5 , so 3^86 =9^43 . 9^43/5 ,rem is -1 . so 5-1=4 .

[@aditigupta1796]

In ques2 at 2:46 👉( 2^20)/10 2^3 = 8 is near to 10 => (2^(3*6) + 2^2 )/10 => (8^6 + 4)/10 => Rem = 2+4 = 6 (2 has become +ve because of the even power)

[@IODell]

Thank you for your videos. At 5:27 you multiplied 3x2 to get the final remainder of 6. Was that to return 2^1 removed earlier? Please verify.

[@mr.artrauniyar]

Yes..

[@utkarshagrawal6051]

If 5^135 is divided by 7 then remainder is 2. Hint-multiply by 2 in both numerator and denominator then by simplify answer become 4. Now we want to divided by 7 not 14 so, in end we divided by 2 and finally answer become 2. (This doubt is for Arnab barman)

[@DollyDolphin]

What is the remainder when 444 ^444 ^ 444 is divided by 7 ? (GMAT Type Question)

[@ShikshitRajasthani]

4 ( 3×3×3/7 )

[@PoojaRani-qd7pw]

@@ShikshitRajasthani 6

[@heytikadeshmukh892]

At 11:36 there Is no need to find square of 43. Without any division also ans can be calculated. Correct me if I am wrong sir..

[@ambsjoshi]

Hi sir in ur previous part 1 2^99 /33 was solved in diff way and now 2^20/10 In other pattern can u plz compare both methods and focus on different pattern

[@ayushmaansatyam6911]

What is the remainder when 13 ^ 5 + 14 raise to the power 5 + 15 ^ 5 + 16 to the power 5 is divided by 29

[@ayushmaansatyam6911]

And soon plz

[@dipanshuchouhan922]

Sir if 5^540÷ 7=?,so what will be the remainder

[@amoghdattatri2731]

Very carefully and Nicely he has picked out all the easy questions in remainder theorm and sweetly explained it .. 👏👏

[@amandugar4229]

A question like 9^1000/17. Even if we do 9 square, cube, to the power 4,5 the difference with denominator doesn't show up as plus 1 or -1. So basically how to solve questions like this in which the difference isnt coming as plus one or minus one.

[@notananimenerd1333]

9^16 will leave remainder 1 when divided by 17

[@nitingarg3665]

6:45 iska ans toh 3 aana tha na 3^243/5=5-2=3

[@AyushmaanNargotra]

Thankyou sir. Pagal hogya hua tha mai iss concept ke chakro me. You cleared it very well. Thanks a lot

[@bharatipandey2728]

Sir your teaching style is excellent...... I got my answer..... Thank you sir

[@chaarugupta6327]

Sir in question 6, it is 5x9= 45 so why not remainder= -2?

[@pargatsingh11]

2^20/10 can be solved as (2^4*5)/10= (16 ^5)/10 therefore remainder is 6 I have made 6 at unit place because as sir has make diff in every question of 1 because 1 gives same result wtever the power is in the same way 5 and 6 also give the same resukt whatever the power is ..

[@arshiyaaadil9783]

Hello sir you have explained very clearly it is very easy to understand and remember the techiques.I Requested to give a few number of questions with direct answers but not eplanation it will be very helpful for us and we can practise more ,thank you sir.

[@sumanrana4083]

Calculate 3^287 % 23?

[@shauryajayswal4191]

Sir can you please solve this question : 39^150 / 7

[@UPSC-fy6ct]

Cyclicity of 3 is 4... 86/4 remainder is 2...so 3^2=9 9/5..remainder is 4 Answer is 4

[@ranitbhattacharyya3800]

sir in that question 43^86/5 .Why shall we take square of 43 ? simply we can divide 43 by 5 remainder +3 =+3^2*43 whole divided by 5 =-1^43=-1 then 5-1 =4

[@rahulhooda1001]

what is the remainder when 3^1000(3 raised to power 1000) divided by 23

[@ravitompaki1209]

Bahut achi explanation sir...thank you very much...I can understand when I first time seen your videos sir ...thank u

[@deepikaagarwal8374]

2 power 20and divided by 10 hai to iska answer +2 aa raha hai Kyoki 2²°= 2 ki power 5×4 lika sakte hai agar hum ese karte hai to 32⁴/10 Jaise sir ne bataya hai ushke accroding karte hai to 10×3=30 so remainder hoga +2 Agar jo jo meri baat se agary hai vo like kare and commnet kare

[@CompassionateIAS]

2²⁰= 1048576 Divided by 10, you will get 6 remainder

[@dhruvilpurani4806]

@6:12 how it is 242 ?? if you write as 3^2*141 ???

[@edifylearnsmart6927]

Right. it's actually 3^2*141= 282 but the answer is correct. here powers does not matter except for checking the sign of remainder. I hope it helps you to understand.

[@nitingarg3665]

@@edifylearnsmart6927 it should be 3^2*121*3^1=3^243

[@edifylearnsmart6927]

@@nitingarg3665 yep u are right that is what I mentioned that his calculation is wrong but the answer is right cause in this method of finding remainders the power doesn't matter until it's a negative number.

[@ashvtamahajan8045]

In question 39 power 42 divided by 10 , -1 comes as remainder.. will it not become 1 due to even power ??

[@manishdagar3617]

Sir thanks for yr guidelines but we are still confused at some points when to use which trick

[@sarvagyaprasad6603]

U r right

[@saisuhasreddy]

Yes sir I am getting confused in some problems

[@entrozone9680]

Yes sir same with me to

[@baranmalyabhattacharjee202]

What is the remainder when 15 to the power 400 is divided by 800?

[@aditigupta1796]

Sir, can't we consider difference of 2 as near to the denominator ??

[@ambreshgupta9141]

sir ager hum 2^20/10 iss ko hum asisa kyu nhi kr sakta hai like 8^6*4/10=-2, 10-8=2 answer is 2 kyu nhi ho sakta hai plz tell me

[@jagannathgaidhani5333]

Sir, u made some Qs so complicated 2 ^ 20 => (2 ^ 5 ) ^4 / 10 => 2 ^ 4 /10 => 6 remainder 43 ^ 86 / 5 = 3 ^ 86/5 => (3 ^2 ) ^ 43 /5 => -1 ^ 43 => -1 + 5 => 4

[@manindranarala9836]

Sir ea tho same type Ka hai (5^70+7^70)/74

[@manindranarala9836]

Sir ea bathao

[@TY-xq7zn]

2^4 divided by 3 gives remainder of 1 as 2^4 =16 and 16 divided 3 gives remainder 1 but according to your trick remainder should be 2 as 2^4/ 3 gives remainder of -1 , it cant be answer so subtract it from 3 get 2 Confused

[@smritimadheshia7530]

it was a very usefull video. Go with further example then u will get to understand easily

[@mdshafikansari1599]

We can easily solve que 6 simply writing (45-2)^86 and further (-2)^86/5....so simple..

[@albertfranklin434]

When 25732 ^1234 is divided by 11,the reminder obtained is :

[@animeshkumar6216]

Can you compare the solution of 3^60 divide by 28 in 1st lecture and solution of 51^25 divided by 13 in 2nd lecture ? Which one is correct ?

[@lightbrowser7943]

Hi Sir, very nice concept, please let me know which equipment are u using for this video. Thank you sir.

[@arupsingh345]

Sir, the types of questions u mentioned in this video is sufficient for IBPS PO pre / clerk or not.. Sir plzz suggest.. I show all these sessions of reminder theorem.

[@javedqureshi6450]

2:02 agar square 24 hota to +1 remainder hota ya 13+1"" 14 remainder hota????? Please tell me

[@gyanaranjanmohanty2608]

Qureshi Artist remainder is always smaller than divisor. If you take 14 remainder, you can again divide it with 13 and then get r=1.

[@arpanasingh3048]

Sir plz solve this question-: What will be reminder when 27^400 is dividing by 25.

[@bhavneetgrover1363]

What is the remainder when 5^91 is divided by 91?

[@rohit2660]

why did you closed the comments in part 1 video

[@dhruvilpurani4806]

3^243 hai to aap use (3^2*141)*(3^1) kaise kar sakte hai??

[@prince43917]

Bhai baise bhi 3 hai tho direct le sakte hai fhir bhi itna solve kiya kyo

[@SandeepKumar-hw1vf]

ye (3^2*121)*(3^1) aise hoga

[@sunilkumar-st2yz]

Nahush Agra use totient method

[@sushantdash7479]

visit educlub 4u

[@shubhamkarandkar429]

galti se huwa hai approach sahi hai and answer bhi sahi (writing mistake thi )

[@surajdev1186]

Q2 could have a better solution if you write 2^20 as 16^5 here we get 6 reaminder after divide by 10

[@littlebratgaming1082]

(3¹⁹⁶+4¹⁹⁷+5¹⁹⁸)÷197 than what is the remainder sir ?

[@prabhatrathi8940]

You are doing really awesome. It's just need some time for people to come across you and follow you in millions.

[@toxicstatus8246]

Find the reminder when 7^23 is divided by 8 solve the problem please

[@raushanbharti7181]

U solve 43^86÷5=4 and 39^42÷10=9 in this -1 should be convert into 1 because -1^42=1 According to u,43^86÷5 should be 2..There is a lots of confusion so plzz make it clear...U solve every ques in diff. Way even ques r of same type

[@omarkhan2642]

In question 2- wen you divide 5 by 2 the remainder is 3 and not 2.

[@SUDHANSHUKUMAR-cw8lv]

(2^100)/101 and (23^45+13^45)/18 find the remainder of both .sir please give me the solution of both .

[@mhnsrj]

nice simplification but sir question6. me 43ka square 1849 solve karna kya jaruri hai...if simple 3*3=9

[@gautambhutia9648]

Nice Video, very helpful for beginners

[@annusharma137]

Sir apne jo 39 ki power 42 divided by 10 ka remainder nikala tha wo glt h pichle video me Iska answer 9 ni 1 ayega kiyuki power even h na ki odd

[@saivamsithanneru]

Are you sure the answer is 1?

[@yagadasukrishna6448]

(2^4)/5 actually the remainder is 1 ,but when i follow your method it is 2 ..i cant understand why it is like this

[@MOVIES-WORLD323]

what is the remainder when 1!+2!+........ 100! is divisible by 15 ?

[@snehaviswanath1370]

Hello sir! Will you be doing any videos on NABARD Grade A and B for 2017 preparation techniques ?

[@robinpegu5329]

When 3^247 is divided by 17 then what will be the remainder? Sir how to use the trick in this question?

[@vikaskumar-yw9ww]

3^24 ÷5 me sidhe 5se bhag dekr kyu ni . -2 bachta aur ans 5-2=3 aata

[@vikassingh9266]

sir apne ek q bataya tha jaise 2 power 100 diveded by 3 on solving the above get remainder -1 while substracting 3 get final reult 2 which is wrong plz give another method

[@hemanthnadhvinnakota281]

43 p 86/5 , here 5*9=45 so -2 then 5-2=3 remainder 3 ? please explain this.

[@barunsarraf8863]

in the previous video part 1, u mentioned that (39^42)/10 which gives -1 but it is 10-1=9 but according to second video which is a even power it should be 1 because of 42...why is it wrong then?

[@ManjitSingh-cr7ht]

1 hai bhai remainder 9 nai h

[@sanchitbhargava7738]

Use Cyclicity formula as well, will make these things much easier where diff. is huge.

[@AlamgirMollickBabla]

Before video. You do (power of39 is 42)÷10 = remainder 10-1=9. But here power is even . The answer should be 1. Plz see every thing

[@salim9956]

Find the remainder 723^243+318^243 divided by 17

[@randhirkadam3757]

Find remainder when 51 ^203 is devided by 7? ..plz show me how to solve it ..

[@lalitjain1828]

If power is considered then why the remainder of 39^42/10 is 9 in place of 1 in previous video ?

[@Awadhpalsinghyadav_official]

Sir how to solve 73+75+78+57+197 is divided by 34 ..

[@knowledgeispower7687]

Sir ,141×2 =282 hota hai jab ki hamko 242 bana na hai ...Ques 3 . Reply sir answer thik hai mgr power 121 hoga...odd number hai power 121,141 iss liye chal gaya

[@sayalijadhav2466]

Sir how can we solve this ,What is remainder of 15^241 divided by 143

[@yingyang_.]

First find phi of 143 which is phi(11)×phi(13) = 120 From Euler's Theorem we can know that 15^120 congruence 1 mod 143 15^240 congruence 1 mod 143 15^241 congruence 15 mod 143 Then the answer will be 15

[@premanshdewangan]

in the question ((7^9)-4)/7 , using an example of 14 is the only way to solve this que ? coz there r soo many other multiples of 7 from which the answer is not coming. (only with some specific numbers)

[@manishgusain8274]

sir in qsn 2 2^20/10 is same as 2^19/5....so remainder should be same.....so why you multiplied by 2.....( remainder should not change as both mean the same....correct me if i am wrong

[@ashishbharti6165]

thx sir.very useful ..but plz explain us if some que came like what's the rem.when 2 raise to the power 9 divided by 5..

[@onkarsubba2137]

You made me understand very clearly thanks a lot sir,,, some more difficult question plz.....

[@anishimishra7456]

find the remainder when 73+75+78 is divided by 34

[@summervalley1]

all these questions can be solved orally in 10-15 seconds using Euler's theorem , you are just making it lengthy this way.

[@souravsharma7285]

Guys ..sir ki pehli video mei ek question hai 39^42/10 , uska answer 1 aayega , sir ne by mistake 4 likh diya hai , because power jo hai wo even hai ....wha comments turned off hain isley yha pe likha...

[@BhumikaSingh-f1g]

Pls solve 2^39 divided by 39 by sir's method....

[@bazega3328]

i have seen most of your videos and they are amazing but can make one more on remainders showing how to get remainder if we write a series of numbers and divide it by some numbers (eg. if we write 1to 29 side by side i.e. 12345....26 and divide it by 9, what will be the remainder?). waiting for your reply and next videos!

[@DhanushRayan]

1

[@prasanthireddy952]

nice explanation sir i want full aptitude problems sir

[@vijayalakshmias5989]

How can I solve the problem that is to find the remainder when 16^53 is divided by 7

[@murlidharsingh7781]

Sawan when a number divided by any number the remainder should be less than divisor how it can happen that when we divide 5 by 2 ki power 5 ki power 25 then it then it will be remember reminded 6

[@ashishvats7812]

Q1) 7^45 divided by 47 Q2) 8^900 divided by 29 plzz sir give me the solution

[@vaibhavnandan8072]

Sir plz Sol (3 ki power 7 ki power 11 )divide by 5 . What is remainder ?

[@sonalsingh4330]

The least remainder when 17^30 is divided by 5 is

[@vipulgour1608]

Hi sir Please solve this question and I already try but can't solve this and also provide the solution Please ! What is the remainder when the no 4444^4444 is divisible by 9 ? 1. 4 2. 6 3. 7 4.8

[@shashankmishra3020]

Sir what's the reason behind 3/10 remainder 3 and 4/7 remainder 4

[@NITESHKUMAR-pr6gi]

sir 32 per power 32 fir power per power 32 ko 7 se divide karne per reaminder kya hoga ? please solve it is .

[@sunitasingh-rr9cz]

great sir what is remainder of 32^32^32 when it is divide by 7.

[@AJsahu96]

1

[@paraschauhan3400]

find remainder when 29 to the power 21 is divided by 17

[@rahulkushwaha7604]

What will be the remainder when 18^19^20 is divided by 100 ?

[@hemarani5795]

Sir when we divide 5^200 ÷ 7 what will be the remainder please tell??

[@vikasbajpai3013]

sir the answer of (19^77)/7 is 4 how it is?please tell.

[@nikhilkumarch3258]

ans is 3 not 4

[@biswaranjanrath604]

sir pz tell what is the shotcurt to solve the below qustion what is the reminder when 11^13-13^11 is devided by 143

[@biswaranjanrath604]

pz solve it and this type of qustions

[@bunnyashok8343]

question 7:sir 3/5 remaider 3 bhola aap pehle in this one you are simplyfying

[@apurvasrivastava3739]

9÷5 reminder is 4 but 9^2÷5 is 1 why power are creating difference

[@amitkumar-cs4ms]

Sir 1- 27^27/100 2- 3^40 / 11 how to solve this

[@mehuljindal1444]

At 5.01 minutes should not the remainder be 3?? Instead of 2????

[@princeejain6929]

Sir please solve some more subractions equations which is not divisible by denominator..

[@ashithakanai4316]

How slove that types question ...what remainder when 3^32is divide by79