How To Solve This Maths Olympiad Problem ? | Aman Malik Sir

This question is picked from regional maths olympiad
(666....6)^2 + (888....8) = ?
Given that the number of digits of 6 and 8 are 100 each in both the given expressions.
Solving Olympiad problems builds your question solving approach
This is a very interesting question from Maths Olympiad which will surely test your critical thinking skills.
Solving such questions will also train your mind to open up and go for in-depth and out of the box thinking.
Stay tuned with ‪@BHANNATMATHS‬ for more such interesting questions.
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#maths #mathematics #olympiads #amansirmaths #jee #jeemains #iitjee #jeeadvanced #olympiadmath #mathsolympiad

[@hetefoer9042]

Bahut beautiful question hai

[@atharva5177]

Another great problem explained by a great teacher

[@reyhanhozaifa4306]

A beautiful question and it's visualisation of numbers ... mind blowing sir

[@DeepakKumar-sb1tv]

This question gives us an inspiration that we should look at all the calculations according to the point of view of series .Indeed this is a fantastic calculation. Sir !

[@aliuzel4211]

Very nice 👍 Thanks.

[@RockyRanjan]

6^2+8= 66^2+88= 666^2+888= I asked Chatgpt to simplify these three terms, because i sensed there could be a pattern. Indeed there is. I use chatgpt because i appeared in IIT-JEE/AIEEE in 2007 and 2008

[@tushar9007]

Buddhe

[@ritojyotidebnath2023]

Sir, I solved a little bit different if I take 111...1 (100 times) = x then we can rewrite the sum as (36x^2+ 8x) = 4x((9x+1)+1) ( iwrote 9x+2 as this because it gives advantage when 9x+1 is written it becomes 1000...0(100 times 0s) and then the question is easy and simple manipulation gives result 444...4(200 times 4s)

[@Stockjuno]

Yus but mera 44444 201 times aaya ese

[@bide2505]

​@@Stockjunonope bro if you take 444× 1001 = 444444 like that you get 200 when you multiply (1000(with100times0) +1) I think this is where u got confused

[@gw_pavitra2331]

Still I have easier solution

[@Rahul.G.Paikaray27]

Beautiful PATTERNS and beautiful question

[@aravsharma7410]

Amazing sir keep this series always

[@sahityabishnoi8722]

Amazing question!

[@biswambarpanda4468]

Lovely.. Wonderful sir..long live

[@Avishek.Actuary]

Nicely explained 😊

[@pradeepbacchav5106]

Fantastic 🎉

[@sanjoystore9799]

Nice problem,thanks

[@poko__player1071]

Sir app to maths ke GOD ho, Apko mera pranam 🙏🙏🙏🙏🙏🙏

[@vl2893]

Very good sirji

[@Rajtechnical1811]

I respect you sir❤❤❤ your teaching style

[@muskanmedhavi.2951]

Great sir

[@Arsalanalisyed]

Zabardast!

[@MohammadSami-ul-lah]

Nice problem.

[@ravichilukalapalli1537]

Amazing

[@debaprasadhalder7982]

Excellent

[@naveenkhare1979]

Very nice problem and beautifully explained

[@drashokkumar9209]

Superb

[@BhapkarMathsAcademy]

Great

[@experimentingalgorithm1546]

Sir is question ko kaise solve krsakte hai? Limit x → 0 (x^x^x^x^.... n times) Is par ek video bana dijiye And agar aapke paas power tower k concept pe koi aur questions bhi hai to uspar bhi video laiyye

[@chirantanjod6914]

I just Did 6²+8 = 44 , 66² + 88 = 4444 and Got Answer 🙃 JEE walo ka Jugaad ❤

[@demoliryt269]

same it took me 10 sec lol

[@balasubramanianmanickam3067]

How you put this sum please explain me

[@chirantanjod6914]

@@balasubramanianmanickam3067 in question there's 100 times 6666.. and 888..... , Just take 6² and 8 1 time u will notice pattern ie 44 4444 444444 etc

[@balasubramanianmanickam3067]

@@chirantanjod6914 first of all thank for your explanation could you elobrote the explanation

[@NITINCHAUHAN964]

​@@chirantanjod6914RAM RAM JI 🚩❤

[@puravpatel226]

Greatest Approach

[@sungoswami7349]

Good question

[@rupamguria]

only one channel in youtube , that makes us creative , seriously 😎

[@vikashkumar96314]

Maza aa gya sir

[@shibasischakravarty5175]

sir jiiii maaza aa gaya ...love from odisha

[@ashutoshkumar9876]

Respect for Aman sir ❤

[@MegaSA08]

Amazing 😍

[@mr.unknown1070]

Ye to sequence and series se nikal jayega, inn numbers ko expand karke 1×10².... Karte karte expand kardo, fir GP ka sum laga do aur square kardo first num ko and second wale me add kardo.... it's that simple 😊

[@ShubhamYadav-pl2pe]

I salute you sir

[@venkateshsrao448]

Beautiful.❤

[@shubhojithalder-xp8hd]

Sir last me Jo pattern bataya wo mazedar laga

[@Rohanthakre59]

Bohot mast qs tha maja aa gaya ❤❤

[@redgamingshorts1264]

Sir what a teacher you are

[@shrinidhi3]

Nice

[@mdemrankhan2858]

Sir ki, bohot Maja aya❤❤

[@rcRaghu]

Maza aya 😀🙏

[@ParismithDey-tc4fb]

Amazing pattern is mind blowing

[@adarshkumaryadav3449]

beauty of every Olympiad problem is even though they would be solved by using maths and all but they all have a pattern or series to get the answerr without much calculation means just by observing the problem like sir explained in the last.

[@mwsuman5707]

Sir maza aagaya ❤❤❤❤❤

[@jopylee8472]

Maza aya..

[@experimentwallah8783]

Love you sir

[@RitobrotoMarick]

Sir 2 last step mey kya binomial theorem laga sakta hu?

[@blackninjaytbs9714]

Best math teacher ever

[@adityamishra3285]

Bawal sawal....❤

[@bhadruveerabhadrappa2050]

Sir please aap aise question lekar aavo🎉

[@IHTFP]

Very interesting sir, love from bihar

[@Rahul.G.Paikaray27]

💯💯💯💯

[@tusharkumar8410]

Beautiful ❤❤

[@anishbanerjeee7840]

sir i am facing problem in solving modulus function questions ... please suggest me something

[@anirbanbhattacharya160]

Niceee

[@HARSHSHARMA-db9oh]

Maza aagyya sir mjhe to pehle laga isme to kuch 12th ka hi funda laga hoga but mai 11th me hokar bhi samajh paya kyunki mmaine thodi si gp padhi thi love it

[@Abl0smart]

Tq sir i love mathematic

[@vengish6243]

Maja aaya ❤❤

[@user-lb4hu1fq5l]

maza aaya

[@physicslover3043]

Maja agaya sir

[@SonuKumar-nc7wy]

sir kya is problem mein gp ka concept laga sakte hai kya

[@goingtoroast3394]

Op question dil cho gaya ❤

[@divyakumar8147]

I did it myself I love sequences and series thanks sir

[@OpPhilo03]

Aaj pahali bar apaka solution dekhe bina mujhase ye question ban gaya. Apane ek Barr kaha tha sir ki Pattern pakadana seekho question ka. Aur is Barr mai pakad le gaya😊

[@softtechplus383]

Easy question

[@UjjwalTalks531]

Sir ye jo apne last me trick bataya wo sabhi numbers par apply hoga kya sir ya fir 6 and 8 ke case me hi apply hoga Please it's my last doubt😢😢 Thank you sir❤❤

[@physicsShow]

Best math teacher I have ever seen in my entire life. ❤❤❤❤❤❤

[@ayenpatel3738]

gb sir se padhe ni ho bhai

[@marvelentertainmentwala8214]

sir aaram se solve ho gya love u 444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444

[@incoop3334]

Solved in first try and 3 minutes. Very easy

[@Rgy369]

Sir, I also got the answer // it was same as your 2nd method ☺❤

[@cRaF1]

Sir what is the place value thing

[@bornalirakshit7059]

East or west, aman sir is the best

[@mohandaskandukuri4625]

Bring questions related to adv also😊❤❤❤❤

[@sonjoysk5]

nice

[@iritk09]

Mza aa gya🙂

[@ritadas4718]

If we take 4/9(10**100-1)common then after rearranging it will be in the a**2-b**2 format And it will be more easy

[@Rahul.G.Paikaray27]

🔥🔥🔥🎯🎯🎯🔥🔥🔥

[@dharmveersingh7492]

❤❤

[@ritabratachakraborty6313]

One more way of doing this can be - 66^2 = 4356, 666^2 = 443556 and so on. Hence 6666666...100 times^2 = 44...99 times355... 99 times6. And if we add 888...100 times to this the answer will quite visibly be 444...200 times

[@GursewakSingh-jz1wi]

Yeah bro! But it is lengthy aa we have first calculate the squares of 66,666 to recognise the pattern

[@soon-ys2ui]

I also solve like this why .. and it is also not much lengthy justa little multiplication thing

[@dileepverma1296]

Maja aagya🥰🤩💥

[@abhishekmeena5267]

Maza aaya😂🎉

[@biplabgarai2486]

Two functions ka product ka kise graph mein plot kar sakte hai Ushka video bhi le aayie Example-x/sinx

[@Villen871]

Kaise le sakte hai

[@mr_chaudhary6536]

How to improve maths for jee

[@Sashi3445]

❤❤❤❤

[@ashutoshyadav6942]

Majo aa gaya

[@richagautam732]

sir almost same question appeared in jee advanced 2023 there also a gp was formed and the question was solved...by the way sir you are the best

[@shivx3295]

i also solved it using the same concept as you

[@ToanPham-wr7xe]

😮

[@dolfindino7430]

Fucking awsome problem 😮 Sir keep on doing these problems daily

[@BESTmovies-dy7qb]

i did this question by long way take common 6 and 8 respectively. further taken 11...1, 100 times common from both expression and by observing pattern i got an expresssion like[11111....1]100 times multiply with [100...01] 101times and got[444....4]200times.

[@Mr.28foryou]

Beutiful 💜

[@jharnataneja7807]

from which book?

[@OmChouhan-ps6sk]

sir is series me aur problems lao na

[@mathx.SB_2004]

4444.... 200 times😊🎉❤👍

[@user-fb8jc7pc6h]

Sir ek help kar doge Sir ek assi video banado jismai particular topic or chapter par 100 ya 200 questions ho Taki wo chapter ya topic ache se AA jaye

[@GiteshMishra121]

Sir aapke lectures abhi bhi pw app par available hai🙂🙂...

[@balasubramanianmanickam3067]

Sir please solve jee main pyq from2019 to 2023 with short tricks jee advanced 2013 to 2023