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

[@hetefoer9042]

Bahut beautiful question hai

[@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 !

[@reyhanhozaifa4306]

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

[@atharva5177]

Another great problem explained by a great teacher

[@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

[@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

[@biswambarpanda4468]

Lovely.. Wonderful sir..long live

[@ashutoshkumar9876]

Respect for Aman sir ❤

[@poko__player1071]

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

[@chirantan69iitb]

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

[@chirantan69iitb]

@@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]

@@chirantan69iitb first of all thank for your explanation could you elobrote the explanation

[@NITINCHAUHAN964]

​@@chirantan69iitbRAM RAM JI 🚩❤

[@Avishek.Actuary]

Nicely explained 😊

[@bornalirakshit7059]

East or west, aman sir is the best

[@sahityabishnoi8722]

Amazing question!

[@Rajtechnical1811]

I respect you sir❤❤❤ your teaching style

[@aliuzel4211]

Very nice 👍 Thanks.

[@rupamguria]

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

[@aravsharma7410]

Amazing sir keep this series always

[@pradeepbacchav5106]

Fantastic 🎉

[@rewantx247]

Beauty of mathematics 🎉❤☺😍

[@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 😊

[@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

[@Rahulrks01]

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

[@Irodov_gaming777]

ye question humare class mai karaya gaya tha sequence and series chapter mai

[@shishirjha4219]

Maine general analysis se solve kar liya Pehle i checked 6^2+8=44 isme 6 aur 8 ke 1 digit the aur answer 44 aya 2 digit ka Fir maine dekha (66)^2 +88 iska value aaya 4444 aur isme 6 aur 8 ke do digit the aur answer 4444 aya jisme 4 digit hai Agar is sequence ko analyze kare tab (666...100times)^2 +(888...100 times) ka answer (44444....2×100times) ayega. Aise questions me itna lamba solve karna (jaise sir ne kiya) buddhimani nhi hai balki apna general thought process se karna eak bahut hi better option hai this saves a lot of time

[@harshrajjadhav940]

What you did is good in exam. But in practice one must know the real solution as well.

[@harshrajjadhav940]

Even sir did your analysis in the end.

[@dolichakraborty6020]

that's not how math works , have you ever heard about moser's circle problem ? if not, then you should go and check you will get my point.

[@naveenkhare1979]

Very nice problem and beautifully explained

[@ajal3025]

Sir m to log lekr kr rha tha aur kahi aur hi pahuch gya 😂

[@physicsShow]

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

[@ayenpatel3738]

gb sir se padhe ni ho bhai

[@puravpatel226]

Greatest Approach

[@redgamingshorts1264]

Sir what a teacher you are

[@shibasischakravarty5175]

sir jiiii maaza aa gaya ...love from odisha

[@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.

[@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❤❤

[@vl2893]

Very good sirji

[@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

[@muskanmedhavi.2951]

Great sir

[@sanjoystore9799]

Nice problem,thanks

[@Rohanthakre59]

Bohot mast qs tha maja aa gaya ❤❤

[@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😊

[@MohammadSami-ul-lah]

Nice problem.

[@biplabgarai2486]

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

[@akadeadshot4995]

Sir (6(10*100+10*99..........10*0))*2 Aisa karke phir GP ke sum ka formula laga De similarly 8 wale ke like bhi aisa kare to answer aa raha hai

[@priyanshumisra471]

200 or 199 as subtracting one from 10^anything reduces digit count by 1

[@sylvainlavelle3783]

I was wondering the same, but the number is 1 and 200 zeros. So it is a 201 digits number. After substraction it is a 200 digits number. For example 10²-1=99.

[@debaprasadhalder7982]

Excellent

[@marvelentertainmentwala8214]

sir aaram se solve ho gya love u 444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444

[@shubhojithalder-xp8hd]

Sir last me Jo pattern bataya wo mazedar laga

[@balasubramanianmanickam3067]

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

[@sungoswami7349]

Good question

[@blackninjaytbs9714]

Best math teacher ever

[@dictatorakshay369]

Sir, please ye question solve karke dikhao. (Ye maine khud banaya hai) A^3 - B^4 = C^2 And A+B=C Find A, B, C

[@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.

[@mdemrankhan2858]

Sir ki, bohot Maja aya❤❤

[@drashokkumar9209]

Superb

[@jeeadvance9360]

Simple gp problem

[@davisgeorge7926]

The problem with the Indian education system is that they don't tell you if there is a practical application in trying to solve this question, if there is any

[@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

[@bhadruveerabhadrappa2050]

Sir please aap aise question lekar aavo🎉

[@IHTFP]

Very interesting sir, love from bihar

[@risingrelic]

This question is also in Esaral jee module... Thoughness

[@BhapkarMathsAcademy]

Great

[@ParismithDey-tc4fb]

Amazing pattern is mind blowing

[@ravichilukalapalli1537]

Amazing

[@inquisite_Krish]

Sir from 666... I take 6 common and multiply and divide by 9 than it gives 6/9 times( 10 ki power 101 minus 1) than similarly solving 8 like this my answer is coming 4 201 times Sir what is the mistake in my solution

[@inquisite_Krish]

Sir please explain it

[@pratiknair2481]

sir i opened (6666...6)^2 and added it to (888...8) and got answer in 3 micro seconds😀👍

[@adityamishra3285]

Bawal sawal....❤

[@MegaSA08]

Amazing 😍

[@ShubhamYadav-pl2pe]

I salute you sir

[@Arsalanalisyed]

Zabardast!

[@divyakumar8147]

I did it myself I love sequences and series thanks sir

[@AnkitKumar-vm4ly]

My inspiration sir

[@mwsuman5707]

Sir maza aagaya ❤❤❤❤❤

[@vikashkumar96314]

Maza aa gya sir

[@RitobrotoMarick]

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

[@nitrrstudent]

JEE advanced 2023 mein aisa hi ek question thaaa

[@rcRaghu]

Maza aya 😀🙏

[@JaswantMahananda-we6mb]

Sir I am in 9 class and have also solved this in first attempt but without using geometric progression

[@Aniket-x8x]

Sir x^x^x^....infinity=2 and x^x^x^..... infinity=4 both have same answer as root 2,how it is possible can you explain please

[@goingtoroast3394]

Op question dil cho gaya ❤

[@incoop3334]

Solved in first try and 3 minutes. Very easy

[@Rahul.G.Paikaray27]

💯💯💯💯

[@experimentingalgorithm1546]

Solved in the first try But didn't use GP just opened the series and took 4×111.....1 common and simplified it

[@champu823]

Lol same here

[@amitsinghbhadoriya6318]

Thanks 🎉

[@nirmanthakur9109]

I gave this answer by using mathematical induction

[@gamertechaayush9808]

What about 1/10-1

[@venkateshsrao448]

Beautiful.❤

[@sougatanaskar4714]

Sir this is a problem of S.N Dey math book which is avilable in English

[@KnowLedgeDonor]

This question is in cengage algebra exercise 5.5

[@mathx.SB_2004]

4444.... 200 times😊🎉❤👍

[@yuvrajsingh-b5o]

this type of question appear my 11th half yearly i am serious but that was 6+66+666+6666........... they both seem similiar this can be done by taking 6 coomon an d multiply by 9 and writwe 9 as 10-1

[@pedrojose392]

I am from Brazil. Let do it for n digits, in stead tô 100. [6*(10^n-1)/9]^2+8*(10^n-1)/9= 4*(10^2n-2*10^n+1)/9+4*(2*10^n-2) =4*(10^2n-1)/9 This is a number with 2*n digits 4 in decimal numbers. As n=100 x=444..444 with 200 digits

[@AbhinavRaj-d3w]

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

[@nirmanthakur9109]

444...4 (200 times) my answer

[@babujimitra7920]

Very beautiful... bus ek hi baat hai, Don ko pakadne se v mushkil hai screenshot lena, speed slow karke o to le liya, aage aisa khubsurat sawal ke intezaar....

[@Abl0smart]

Tq sir i love mathematic

[@studypoint4you283]

O sir i m you big fan and today first , just i think like your second method and then find the final answer is 444....200times L❤ve y❤u sir.

[@ДенисГолуб-о6ь]

you are drawing the system icon incorrectly. he is upside down

[@cRaF1]

Sir what is the place value thing

[@kushagrasinha4828]

a/9(10^n-1)❤❤ Sachin sir 😅

[@raj51246]

Hehe 😂❤

[@aryankushwaha7028]

Sir ham isko alag tarike se kiye hai or ose bahot ashani se or bahot khubsurti se hoa hai

[@shrinidhi3]

Nice