How to Solve Logarithm Questions in 10 Seconds...

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JEE Nexus by Unacademy

JEE Nexus by Unacademy

Күн бұрын

➡️ Logarithm One Shot :- • Logarithm Class 11 | O...
➡️ FOR CLASS NOTES and other important updates check the telegram channel: t.me/JEEnexus
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Dive into our latest KZbin tutorial for JEE Main & Advanced 2025 aspirants. Discover incredible shortcuts and techniques to swiftly solve logarithmic problems that appear in the JEE exams. Whether you're looking to speed up your math skills or seeking quick ways to tackle logarithm questions, this video is your ultimate guide. Perfect for JEE aspirants eager to enhance their efficiency and accuracy, our shortcuts will transform the way you approach logarithms. Don't miss out-boost your JEE preparation with these expert tips.
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#JEE #Logarithm #JEEMain #Maths #JEEMaths #Mathematics #Tricks #JEEMain2025 #JEEMains #JEEMains2025

Пікірлер: 285
@clone9762
@clone9762 4 ай бұрын
everybody is a gangster until the base of logarithm is variable
@IITIANANKUSH2026
@IITIANANKUSH2026 2 ай бұрын
Apply Base Changing
@auztenz
@auztenz 2 ай бұрын
Everyone gangster until the base of log is log it self ( i solved like this question in my rough book)
@eating-toppers
@eating-toppers Ай бұрын
everybody is a gangster until the base of the log is variable when the question is of inequality
@Manish-u8f
@Manish-u8f Ай бұрын
Everyone is being gangster here First go and practice questions so you don't need any short cuts .. By the way sir ne jo bataya that's not shortcut that rule..... Hume padhaya gya hai
@Happiness_aada
@Happiness_aada 4 ай бұрын
Tomorrow I have my class test log..and got this at right time 🔥❤️
@bharathiyakshatriya
@bharathiyakshatriya 3 ай бұрын
1:22 how 81 came sir please respond anyone
@aimbotanukesh
@aimbotanukesh 3 ай бұрын
​@@bharathiyakshatriya4:00 me achhe se dekh bahi🤖
@user-kl4ht2qm4g
@user-kl4ht2qm4g Ай бұрын
@@bharathiyakshatriya so basically they brought log from lhs to rhs so first 4^0=1 then 2^1=2 then 2^2=4 then 3^4 = 81 alr?
@shinchan____nohara
@shinchan____nohara 4 ай бұрын
sir 2nd question answer will be (-infinity, 2) U ( 3, infinity)
@kaliaiit
@kaliaiit 4 ай бұрын
I was waiting for someone to notice that. I have spoken right, but marked wrongly. Initially i thought to correct it, but then i thought, let's see if someone points it out... U were focussed and u found it....❤❤❤
@chimkennubbets6899
@chimkennubbets6899 4 ай бұрын
Exactly
@jaswanthkumarnaidualthi-yl7og
@jaswanthkumarnaidualthi-yl7og 4 ай бұрын
Ye kno he bhai ​@@kaliaiit
@sodabutnofizz1294
@sodabutnofizz1294 4 ай бұрын
@Afnaan-sd4ws bhai maine 3+4 ko 5 likh diya bc integer type question kyu exist karte hai jee mein
@sodabutnofizz1294
@sodabutnofizz1294 4 ай бұрын
@Afnaan-sd4ws riyal
@subarnodatta
@subarnodatta 4 ай бұрын
will be giving jee adv in 2 weeks sir.. is video ke har question 10 second me kar pa rha tha on my own sir (I paused the video and solved the questions within 10 seconds). This is all due to the help, support and mentorship of great teachers like you. Really thanks a lot. 🙏🏻🙏🏻🙏🏻🙏🏻🙏🏻🙏🏻
@subarnodatta
@subarnodatta 4 ай бұрын
@@wdivyankop pata hai bhai.. adv ke questions bhi easily ho jate hain.. achhe teachers ko appreciate karne me koi problem to nhi hai na 😁😁😁😁. Tumne bhi all the best for all ur upcoming exams. 🫂🫂🫂🫂
@Betterthanoutliers
@Betterthanoutliers 4 ай бұрын
​@@wdivyankop Board level ka question hoga, but akela yehi thodi aayega. Kisi question ke bich me aayega. Vha bhul gye to? Bro grasp everything you can in these 2 weeks. Adv acha jayega. All the best.
@BraddysReagent
@BraddysReagent 4 ай бұрын
@@Betterthanoutliers bhai last days mei kya krna hai
@Betterthanoutliers
@Betterthanoutliers 4 ай бұрын
@@BraddysReagent Padhna hai
@BraddysReagent
@BraddysReagent 4 ай бұрын
@@Betterthanoutliers ok
@User-ash0
@User-ash0 4 ай бұрын
is there any one like me who just wasted his class 11th by making plans. can you tell me how i recover it, please.
@user-kq2pi8cf3t
@user-kq2pi8cf3t 4 ай бұрын
Make another plan
@weo9473
@weo9473 4 ай бұрын
​@@user-kq2pi8cf3t🗿
@User-ash0
@User-ash0 4 ай бұрын
@@user-kq2pi8cf3t which one
@shivanisuraj6425
@shivanisuraj6425 4 ай бұрын
Here’s ur solution Stop planning and start studying 😂😂😂 It’s not too late u can still study All the best Stop wasting time
@ashivsinghpathyal5327
@ashivsinghpathyal5327 4 ай бұрын
I am in 11th now what mistake I should make this year?
@shutoshkumar144
@shutoshkumar144 4 ай бұрын
Bhai 🎉 bahut achche se samjh aa gya hai
@Anish-yd3qg
@Anish-yd3qg 4 ай бұрын
1:35 Sir 2nd question ka b correct hoga
@Karan_k1888
@Karan_k1888 3 ай бұрын
Sir ne ans correct bola but likh kuch or diya
@frasperclip
@frasperclip 3 ай бұрын
@@Karan_k1888 nhi b hi hona chahiye
@piratesteam176
@piratesteam176 2 ай бұрын
Bhai yhe dudh rha tha m
@user-tc4sy8yu6l
@user-tc4sy8yu6l Ай бұрын
Same​@@piratesteam176
@JustAnIdiot6969
@JustAnIdiot6969 9 күн бұрын
⁠@@frasperclip he said the same thing as you. sir spoke the correct answer but ticked option a by mistake listen to his words.
@prajvalsripati1775
@prajvalsripati1775 4 ай бұрын
Thank you Arvind sir for this video, please continue this series for all chapters in math.
@V_Ayush_Bharadwaj
@V_Ayush_Bharadwaj 4 ай бұрын
Thankyou Bhai please make more videos like this sir please 🥺
@flick_playz8675
@flick_playz8675 Ай бұрын
6:30 answer is 4×2=8???
@Pheonix_Editz17
@Pheonix_Editz17 5 күн бұрын
Thank you bhai ❤ Lots of love ❤
@Mentosezindagi.
@Mentosezindagi. 4 ай бұрын
Real hero Mera Bhai proud of you sir ❤🎉
@AdityaRanjan2008
@AdityaRanjan2008 4 ай бұрын
Thank You Bhai... Great explanation ❤
@BshdHdhdje
@BshdHdhdje 3 ай бұрын
I think that these log questions are really very easy.......I am from pakistan and i used to watch his lectures ,i cant really understand all of that stuff but i watch it till the end so i could understand a bit of it but every time i close the vedio with a mocking smile for myself ..........but today i watched the thumbnail and i just solved the question at 1st glance 😅😅
@unlimitedknowledge3986
@unlimitedknowledge3986 4 ай бұрын
Sir As i was struggling in this really helped me a lot thanks mere bhai ❤
@JEEnexus
@JEEnexus 4 ай бұрын
Which one you liked the most?
@unlimitedknowledge3986
@unlimitedknowledge3986 4 ай бұрын
The jee advanced question u made very easy ❤
@Kusuma_kumari.136
@Kusuma_kumari.136 4 ай бұрын
Thank you Bhai 😊 very helpful..
@subhosdg7126
@subhosdg7126 3 ай бұрын
In 11th and i did the second question of log.... It obv took me much time... But yeah(not showing off)... Btw great explanation sir... M
@KAPILGUPTAIITM007
@KAPILGUPTAIITM007 4 ай бұрын
Hostel me baithkar sir ke lectures dekh kr jee ke din yaad aagye😊 Love u Bhai ❤Nd All the Best everyone for your Adv
@jaswanthkumarnaidualthi-yl7og
@jaswanthkumarnaidualthi-yl7og 4 ай бұрын
Where r u now
@ommpradhan2799
@ommpradhan2799 4 ай бұрын
Thanks bhai continue this series till jee advance .
@abishekkp2951
@abishekkp2951 4 ай бұрын
Still there are some more tougher questions in logarithm so please make part 2 also
@KollaHimabindu
@KollaHimabindu 4 ай бұрын
Bro took the most easiest log question and saying log is easy
@JEEnexus
@JEEnexus 4 ай бұрын
Dear, if you do this question properly, then u need to take care of domain of all the logs involved, but the shortcut here is telling that in the case discussed, there is no need of that, and hence its saving a lot of time. U will understand this if you have studied log PROPERLY. Best wishes, shera ❤️
@VyomGautam-ce6hr
@VyomGautam-ce6hr 4 ай бұрын
Log is easy I solved Mc sir sheet
@KollaHimabindu
@KollaHimabindu 4 ай бұрын
Sir with due respect I think I said correct still i am not convinced
@KollaHimabindu
@KollaHimabindu 4 ай бұрын
​@@JEEnexus.
@KWTHER_
@KWTHER_ 4 ай бұрын
​@@KollaHimabindubrother I think u need to increase ur awareness level too dnt be a fool man
@SubhaDhar-lp7bn
@SubhaDhar-lp7bn 3 ай бұрын
isme shortcut kaunsa tha sir..these are basic manipulations only that you are claiming as shortcuts
@adityaa3235
@adityaa3235 4 ай бұрын
Mera Bhai Mera Bhai ❤😊 Bhai please tell ki Jee 2025 walo ke liye series kab shuru hogi 😔 please reply bhai , eagerly waiting I am dependent on you and dost for preparation.....❤ Love you @JEENexus
@akshatthakur1619
@akshatthakur1619 4 ай бұрын
Thank you so much bhai❤
@theashow3387
@theashow3387 4 ай бұрын
bhai please make some tricks on calculus jo question k beech me use hoti hain for advance
@pradeepsahoo2268
@pradeepsahoo2268 3 ай бұрын
YOU ARE A GENIUS THANK U SIR U RESTORED MY CONFIDENCE
@rogrudra4044
@rogrudra4044 3 ай бұрын
Sir ye log ki property hi hai ek tarah se
@sarthakgarje8516
@sarthakgarje8516 4 ай бұрын
In that jee advanced 2018 question, just put (log2 9) = t and the question is over
@vishu4074
@vishu4074 2 ай бұрын
Ashish sir ne btaya th 😂
@ShreyanshSingh-k5z
@ShreyanshSingh-k5z 3 ай бұрын
Sir Jee adv 2018 question that you have solved is wrong because as you solved question in 2 parts in 1st part you got answer 2 but in 2nd part your answer is 4 and there you have to multiply both 2 and 4 which you didn't notice and atlast your answer is 4 which is wrong the correct one is 8
@rudrakshrai9056
@rudrakshrai9056 4 ай бұрын
at 6:55 it should be 4*2 = 8 right (final answer)
@BeKnowledgeable-321
@BeKnowledgeable-321 Ай бұрын
Yeah bro
@parthdivyansh50m60
@parthdivyansh50m60 4 ай бұрын
Love you mera bhai ❤❤❤❤
@Happiness_aada
@Happiness_aada 4 ай бұрын
Sir recently discovered this channel...Now only I came to 11th class glad I found you from starting,excited to watch your live sir❤️ maybe unacademy ka course bhi lelu aapke liye
@JEEnexus
@JEEnexus 4 ай бұрын
what do you like the most about this channel?
@weo9473
@weo9473 4 ай бұрын
​​@@JEEnexus Chem Beast 💪 and Mera Bhai ❤
@Iamarealdiamond3
@Iamarealdiamond3 2 ай бұрын
(a)^loga(N) is not a trick. It is the property of logarithm and it is already given in cengage. Jee adv 2018 logarithm question was based on this property.
@Aaryangupta2112
@Aaryangupta2112 4 ай бұрын
6:50 answer is 8 4 is wrong
@rudrakshrai9056
@rudrakshrai9056 4 ай бұрын
yep, someone noticed at least
@RishabhMaheswary
@RishabhMaheswary 26 күн бұрын
😂 it's 8 only The thing is that he didn't multipled 2 and 4
@KartikeySharma-uq5vf
@KartikeySharma-uq5vf 3 ай бұрын
Jee advanced 2018 ka question ka answer 8 hai
@AnshPathak2005
@AnshPathak2005 4 ай бұрын
Wow...the short trick was superb ❤
@HarshVardhan-wx7fw
@HarshVardhan-wx7fw 4 ай бұрын
Sir you said that the shortcut will only work for the inequation greater than 'D' and base should be greater than 1. What if it is given that the inequation in less than 'D' [ < D ] and base is smaller than 1. And sir one more request please make a shortcut video for modulus inequations....
@DeepakPatil_07
@DeepakPatil_07 4 ай бұрын
In maths how to revise like a pro before weekly, monthly, part syllabus, full syllabus test
@thepawdrechannel2490
@thepawdrechannel2490 4 ай бұрын
Thanks a lot Sir🤩
@Arjuncd3112
@Arjuncd3112 4 ай бұрын
Mere Bhai i am currently in class 10th which book i should prefer for class 11 maths i want to crack jee advanced i had already watched your vedantu elite videos it is very helpful to me Because of You I will join unacademy by class 11th You are my All Time Maths Favourite teacher Mera bhai ❤😊
@Shantanukumar483
@Shantanukumar483 4 ай бұрын
#Thanks Bhai mujhe ise ki jarurat the😊😊 thanks a lot Bhai ❤#mera bhai mera bhai# 🤍💚🧡💙❤️
@ShashankShekhar-rg4py
@ShashankShekhar-rg4py 4 ай бұрын
Sir is this video was on short tricks These are pure concepts except 1-2 tricks..😕
@piyushjain7687
@piyushjain7687 4 ай бұрын
love you sir/bhai 11th mei aaka log ka one se dekh ke bahut se qn bann gaye the ab 12th mei 1% bhi log se darr nhi lagta 💗💗
@Life_Sanatani_
@Life_Sanatani_ 3 ай бұрын
Logarithmic properties ko trick bata rahe ho sir waah😏
@JARH1057
@JARH1057 4 ай бұрын
Sir Can i attempt jee advance 2025 without 75% criteria? @JEEnexus
@VarshaPandrapragada-vv8pz
@VarshaPandrapragada-vv8pz 2 ай бұрын
I cant believe i just solved some jee advance questions😵 thanks sir 🙏 you made life easier
@TheJugx
@TheJugx 2 ай бұрын
not all advanced questions r tough.. some mains questions are harder than some advanced prob
@AnoopKumar-lc5cd
@AnoopKumar-lc5cd 4 ай бұрын
Bhai ek doubt tha.. Agar maine class 11 partial sahi ki hain aur class 12 Mein thoda right track Mein Jaa rha hu ya nahi yein kaise pata lagega??
@Anoneymeeruti-vt8jz
@Anoneymeeruti-vt8jz 4 ай бұрын
Bhai love you ,, teeno method seekh gya m 💞💞
@JEEnexus
@JEEnexus 4 ай бұрын
God bless you, ab ye implement me krna shera.
@Anoneymeeruti-vt8jz
@Anoneymeeruti-vt8jz 4 ай бұрын
Haa bhai bilkul implement karunga ​@@JEEnexus
@khyatikelaiya867
@khyatikelaiya867 4 ай бұрын
Thank you 😊
@sakshamgoel5613
@sakshamgoel5613 4 ай бұрын
Sir 2026 walo ke liye video kab la rahe ho
@techthinker2584
@techthinker2584 2 ай бұрын
Hey sir please please ek graph transformation pe advanced ke lia video bnai please thodi lambi video bnaiyaga lagbhag 3 ghante ka please
@priya_makeupartistt
@priya_makeupartistt Ай бұрын
Thank u so much Bhaiya.....pls shar more tricks and of all chps in maths
@CRAFTWITHME554
@CRAFTWITHME554 Ай бұрын
Thanks sir very easy to learn ❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤
@Samarthwillibecomeiitian
@Samarthwillibecomeiitian 3 ай бұрын
1:27 correct ans is b and not a
@theFuture.IITIAN
@theFuture.IITIAN 4 ай бұрын
This teacher can solve in 10s he is a really a g.o.a.t. 🎉
@Anantsharma12i-lp5ql
@Anantsharma12i-lp5ql 4 ай бұрын
Love you mere bade bhai!! , i was just revising logarithm.
@JEEnexus
@JEEnexus 4 ай бұрын
god bless you.
@chess_fornite6865
@chess_fornite6865 4 ай бұрын
Second question ka opt B hoga aapei galti sei A mark krdiya...
@bommisettisreesahith3609
@bommisettisreesahith3609 4 ай бұрын
bro In 2nd question why did take 81
@AnkitBhaskar-wg1zz
@AnkitBhaskar-wg1zz 3 ай бұрын
Greater than equals to pa kaam karegi ya nahi ??
@Happiness_aada
@Happiness_aada 4 ай бұрын
Unacademy ka jee course Start hogaya hai? Kaise hai?
@Gulshansingh-sr7hd
@Gulshansingh-sr7hd 2 ай бұрын
You are awesome sir love you ❤
@sonimishra588
@sonimishra588 3 ай бұрын
Thank you so much sir ❤❤❤
@Sreyanchakraborty
@Sreyanchakraborty 4 ай бұрын
I was literally solving the question on the thumbnail before watching the video😂
@Education-35
@Education-35 4 ай бұрын
Bhai jab se RRR series start hue thi tab se too Aap ne ham JEE 2025 Waaloan ko akele hee chod diya hai 😥😥😥 Bhai jin aspirants ki 11th class achi gyi hai 🙂🙂🙂 Vo bacche 12th ke saat saat 11th ko kaise revise kare Kisi ek chapter ko bhi lekar bhetta huo too kafi time lagta hai Jiske karan 12th hilne lagti hai 😓😓😓
@JEEnexus
@JEEnexus 4 ай бұрын
Kal tumhare liye 1st session aa rha hai. Bridge session. First attend it. Uske baad time nhin lagega zyada...beat wishes shera...❤️
@Education-35
@Education-35 4 ай бұрын
@@JEEnexus 🥲🥲🥲
@jaswanthkumarnaidualthi-yl7og
@jaswanthkumarnaidualthi-yl7og 4 ай бұрын
​@@JEEnexusShera?
@pushkarkulkarni9922
@pushkarkulkarni9922 2 ай бұрын
Sir thank s tomorrow my exam you help
@NamanGoyal69
@NamanGoyal69 4 ай бұрын
Thank you bhai ❤❤
@gamingrishabh
@gamingrishabh Күн бұрын
But sir greater than equal aa gya tb bhi thora
@kanukie_
@kanukie_ 4 ай бұрын
Areh babu yeh toh esy tha 😔
@KartikKumar-if9qd
@KartikKumar-if9qd 3 ай бұрын
1:46 ye jee adv ka q h tk sir ne ise brain teaser diya tha 😲
@harshitsahu8170
@harshitsahu8170 4 ай бұрын
2nd wale ka b hoga sir
@DeekshaKumari-rx5mb
@DeekshaKumari-rx5mb 3 ай бұрын
Thanks a lot ❤❤
@obro-cartoons1352
@obro-cartoons1352 4 ай бұрын
Berozgar logon like thoko😢😢
@M1HS05
@M1HS05 4 ай бұрын
That's not any trick this is basics 😑😑😑
@KollaHimabindu
@KollaHimabindu 4 ай бұрын
True bro
@AmanKumar-1
@AmanKumar-1 3 ай бұрын
Thank a lot to you bhai
@dharmendraksharma1461
@dharmendraksharma1461 2 ай бұрын
Main ak teacher hun apka pdane ka trick best hai bhai ❤❤❤❤
@Nanthanbatman
@Nanthanbatman 4 ай бұрын
We need in english
@sushmatiwari7405
@sushmatiwari7405 4 ай бұрын
Thanks sir (bhai) test ke pehle sahi video mil gyi
@Shantanukumar483
@Shantanukumar483 4 ай бұрын
Bhai aapse preparation ko lekar kuchh baat karni thi kya kari😭😭
@ZaidHaque1306
@ZaidHaque1306 4 ай бұрын
guys pehla question me x²-5x+6 wale ka B hona chahiye na ??
@AmanKumar-so6kg
@AmanKumar-so6kg 4 ай бұрын
You are the best sir 😍😍❤
@shutoshkumar144
@shutoshkumar144 4 ай бұрын
2:32
@DeepakPatil_07
@DeepakPatil_07 4 ай бұрын
Vote for more vedios like this
@DBROS-xt1or
@DBROS-xt1or 4 ай бұрын
THANKYOU SIR
@SharthakGupta2
@SharthakGupta2 28 күн бұрын
Sir advanced wale que ka ans 8 hh
@Charita-123
@Charita-123 4 ай бұрын
Tothe bait Gaya udne vaale the thankyou Bhai make more videos like this
@supershaun2932
@supershaun2932 2 ай бұрын
At 1:33 wrong answer tick kiya hai
@AbhijitKumar-cb6wb
@AbhijitKumar-cb6wb 4 ай бұрын
6:00 only legends know it took 20 seconds to complete 10 seconds 😂 no offense love you bhai❤❤
@Rock79220
@Rock79220 4 ай бұрын
Sir pls take the cinversion lecture for bhishma batch also pls sir pls sir
@ronakpahuja7277
@ronakpahuja7277 2 ай бұрын
Sir agar ham - common leke greater than bna de So ye applicable hoga ?
@7RU7H-k1l
@7RU7H-k1l 4 ай бұрын
Waah bhai maza aagya
@KartikeySharma-uq5vf
@KartikeySharma-uq5vf 3 ай бұрын
Ya Sara question log ki identity per base hai yahi to Karta hai question karta sama Ismay shortcut kaya hai
@prakharsingh8746
@prakharsingh8746 4 ай бұрын
Sir ne 2nd question me answer B ki jagah galti se A tick kardiya hai
@yuvrajkhera238
@yuvrajkhera238 4 ай бұрын
Thanks I REALLY WANTED THIS VIDEO ❤❤❤
@JEEnexus
@JEEnexus 4 ай бұрын
Which topic do you need in the next video?
@Aiims_lover1111
@Aiims_lover1111 4 ай бұрын
Differenceation​@@JEEnexus
@shutoshkumar144
@shutoshkumar144 4 ай бұрын
Thanks bhai,Next video about the differentiation​@@JEEnexus
@OmKumarJainHariom
@OmKumarJainHariom 3 ай бұрын
Love you sir ji
@AryanSingh-nd9rt
@AryanSingh-nd9rt 4 ай бұрын
Mera bhai ❤❤
@govindaiahnvg6998
@govindaiahnvg6998 4 ай бұрын
Sir the only request is please speak more in English because was watching this channel from tharun speaks and i thought this would be in english medium but it is hinenglish please sir do it in english medium
@shaarvinrampurkar326
@shaarvinrampurkar326 2 ай бұрын
Sir, 6:48 mein answer 8 hoga
@TheJugx
@TheJugx 2 ай бұрын
do parts mein nikala h... 2x4
@shaarvinrampurkar326
@shaarvinrampurkar326 2 ай бұрын
@@TheJugx kidhar 2 parts hai?
@TheJugx
@TheJugx 2 ай бұрын
@@shaarvinrampurkar326 2 tetms hw power ke sath Sr unn donno alag se solve kra h Dekh right side ki trf and then other at left
@KamleshSahu-hy9hb
@KamleshSahu-hy9hb 4 ай бұрын
How greater than 9 and 81??? In 1st and 2nd ques... on rhs?!
@sunilbairwa12
@sunilbairwa12 4 ай бұрын
Sir where are your studing centre
@Rahul_Singh1729
@Rahul_Singh1729 4 ай бұрын
Done ✅
@SARIMIFTAKHARSIDDIQUI
@SARIMIFTAKHARSIDDIQUI 4 ай бұрын
Please provided for modulus
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