1:36:22 Sir can this question be solved as follows ? The given expression 1^1997 + 2^1997 +...+1996^1997 is divisible by 1 + 2 ...+ 1996 = k. And k = 998 × 1997 ( Calculated by using Sum of n terms of AP). And this implies that 1^1997 + 2^1997 +...+1996^1997 is divisible by 1997
sir for hw question we can first prove that 1^1987 + 2^1987.....n^1987 is divisble by n + 1, since n+1 and n+2 are consecutive numbers their hcf to be 1 , hence proven
31:45 Divisibility of 48 - if the number is divisible by 3 and 2^4 then it is divisible by 48 i.e if number's last 4 digit is divisible by 16 and sum is divisible by 3 then the whole number is divisible by 48
For number to be divisible by 48 In the prime factorisation of number Power of 2 must be greater than or equal to 4 and power of 3 must be greater than or equal to 1
1:36:25 Yaha pe sir agar main 1¹⁹⁹⁷+2¹⁹⁹⁷+....+1996¹⁹⁹⁷ ko agar 1+2+3+...+1996 ka multiple Maan k agar 1+2+3+...+1996 ka sum n(n+1)/2 formula se nikal le toh woh 1997 se divide hojayega na toh isse toh solve hojayega na sir??
@@kumarisurily9812 sorry if ur a girl or a boy whatever . but plz help what can i do because i can't do anything. i want to know that if ur facing the same problem or not
@@soumendraacharya1168 hello, what is your name? My name is Mayank. I was also facing same situation in beginning. But, now I am not feeling like this because maine iski preparation me ek chij samajh Li hai ki quit nhi karni h chahe kitna hi difficult kyun na ho aur main laga rha aur lecture ko samjhne ki koshish krte rha phir. Mujhe jo problem aa rhi thi wo ye thi ki sir jis approach se question solve kar dete hain wo mere dimaag me aati bhi nhi thi. Phir maine, jab sir question solve karate usse pehle apna attempt Dene ki koshish krta 5-10 min answer aaye ya naa aaye. Isse hum question ko har different tarike se approach karte rhe aur dhire dhire samajh aane laga ki konsi approach se ye question banegi Bina jyada time lagaye. My suggestion to you- give up mat krna. Waise toh mera region south Bihar hai jahan cutoff 10 ke paas rahega saayad, tumhara region kya hai waise?
At 57.43 what if n+1^2 is in the form 121k-11 then( n+1)^2+11 would be divisible by 11 so you need to prove that (n+1)^2 will not be in form 121k-11 so how to prove this???
I see your comment multiple times, can u tell me can I clear ioqm if I start today (I have started number theory 5 days ago) (class 10th) please bro, it there are any possibility then how.???
Hw question ka ans yeh he kya ki 1^1997+2^1997...... Yeh number n+1 se divisible hoga x^odd+y odd ki identity se Ab n+1,n+2 consecutive number he and consecutive number are always comprime hence n+2 se divisible nahi hoga?? Iska directly n+2 se karke wala method koi batado kese karenge
Pair 1^1987 with n^1987, so: n+1 | n^1987+1^1987 n-1+2 | (n-1)^1987 + 2^1987 n+1 | (n-1)^1987 + 2^1987 Let E be the expression of the question We can conclude that (n+1|E) if n+1 divides E, when it is divided by n+2, it will give a remainder of 1 for all values of n
Sir Maine algebra ke saare lectures dekhe h and I am able to solve 50% questions of module but I skip inequality because I am unable to understand it and I started number theory.. Is it OK??? I'm in 10th
Pair 1^1987 with n^1987, so: n+1 | n^1987+1^1987 n-1+2 | (n-1)^1987 + 2^1987 n+1 | (n-1)^1987 + 2^1987 Let E be the expression of the question We can conclude that (n+1|E) if n+1 divides E, when it is divided by n+2, it will give a remainder of 1 for all values of n
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1:36:22
Sir can this question be solved as follows ?
The given expression 1^1997 + 2^1997 +...+1996^1997 is divisible by 1 + 2 ...+ 1996 = k.
And k = 998 × 1997 ( Calculated by using Sum of n terms of AP).
And this implies that 1^1997 + 2^1997 +...+1996^1997 is divisible by 1997
most of the questions are from pathfinder senior
Yes bro
Yes
Yes
Pathfinder Olympiad book?
And FIITJEE COMPENDIUM too
sir for hw question we can first prove that 1^1987 + 2^1987.....n^1987 is divisble by n + 1, since n+1 and n+2 are consecutive numbers their hcf to be 1 , hence proven
divisiblity rule of 48 is that the number should be divisible by 2power 4 and 3
31:45 Divisibility of 48 - if the number is divisible by 3 and 2^4 then it is divisible by 48 i.e if number's last 4 digit is divisible by 16 and sum is divisible by 3 then the whole number is divisible by 48
lecture achaa laga sahab.... 😂❤❤
For number to be divisible by 48
In the prime factorisation of number Power of 2 must be greater than or equal to 4 and power of 3 must be greater than or equal to 1
48 Ka divisibility Rule 2 Power 4 and 3, Power 1
31:48 Sir Divisibility rule of 48 is that the no should be divisible by 16 and 3
Sir... which is best Book for number theory??? Please! Suggest that book to buy??
Path finder
A number which is divisible by 16 and 3 watt which number also divisible by 48
Divisibilty rule of 48=the number should be divisible by 16 and 3 then the number divisible by48 i am right sir
🎉❤😊
1:36:25
Yaha pe sir agar main 1¹⁹⁹⁷+2¹⁹⁹⁷+....+1996¹⁹⁹⁷ ko agar 1+2+3+...+1996 ka multiple Maan k agar 1+2+3+...+1996 ka sum n(n+1)/2 formula se nikal le toh woh 1997 se divide hojayega na toh isse toh solve hojayega na sir??
na bhai,1¹⁹⁹⁷+2¹⁹⁹⁷+......+1996¹⁹⁹⁷ ko 1+2+3 ....+1996 ka multiple ham assume nahi kar sakte
You can also think it as an arithmetic progression
Divisibility rules of 48=2^4and3
31:23 48 divisibility rule= 2⁴ se divisible ho, aur 3 se bhi ho
31:34 divisibility rule of 48 : the given number must be divisible by 2^4 and 3.
bro i am in 9 th getting many problems in this plz helpn
@@soumendraacharya1168First of all I want to know how did you know that I am boy not a girl.
BTW I am also in 9th class .😊😊😊
@@kumarisurily9812 sorry if ur a girl or a boy whatever . but plz help what can i do because i can't do anything. i want to know that if ur facing the same problem or not
@@soumendraacharya1168 hello, what is your name? My name is Mayank.
I was also facing same situation in beginning. But, now I am not feeling like this because maine iski preparation me ek chij samajh Li hai ki quit nhi karni h chahe kitna hi difficult kyun na ho aur main laga rha aur lecture ko samjhne ki koshish krte rha phir.
Mujhe jo problem aa rhi thi wo ye thi ki sir jis approach se question solve kar dete hain wo mere dimaag me aati bhi nhi thi. Phir maine, jab sir question solve karate usse pehle apna attempt Dene ki koshish krta 5-10 min answer aaye ya naa aaye. Isse hum question ko har different tarike se approach karte rhe aur dhire dhire samajh aane laga ki konsi approach se ye question banegi Bina jyada time lagaye.
My suggestion to you- give up mat krna.
Waise toh mera region south Bihar hai jahan cutoff 10 ke paas rahega saayad, tumhara region kya hai waise?
@@kumarisurily9812 odisha and i don't know cutoff can u tell me
sir in 8:12 why y, a, x need to be natural number, if I divide -6(y)by 2(x) then a must be - 3 , and they are not natural numbers.
Bro 2 is a natural no right?
No.
41:47 question starts
1:18:41 note
2:00:00
18:17 ----- 2^7
1:47:32 sir if we solve them directly than there result is 1897^n that is divisible by 1897 is this is correct?
Your teaching is fabulous sir
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At 57.43 what if n+1^2 is in the form 121k-11 then( n+1)^2+11 would be divisible by 11 so you need to prove that (n+1)^2 will not be in form 121k-11 so how to prove this???
I see your comment multiple times, can u tell me can I clear ioqm if I start today (I have started number theory 5 days ago) (class 10th) please bro, it there are any possibility then how.???
@@arsh_arora10 Just Do Geometry
Sir homework question ka solution bi upload kardo pls...
31:42 The no should be divisible by both 16 &3
Hw question ka ans yeh he kya ki
1^1997+2^1997...... Yeh number n+1 se divisible hoga x^odd+y odd ki identity se
Ab n+1,n+2 consecutive number he and consecutive number are always comprime hence n+2 se divisible nahi hoga??
Iska directly n+2 se karke wala method koi batado kese karenge
Bhai 1^1997 ko akela chod ke baki sab ko pair kar do to hamare paas (n+2)k + 1 ki form ka number aa jayega
Thus vo hamesha 1 remainder chodega
@@Lypheal oh yes thankyou 🙏🙏
Divisibility rule of 48 if number is divisible by 16 and 3
48 - number should be divisible by 16 and3
App bahut accha sikhate hai sahab 😊😊
46:24
1:37:06
1:59:38
sir 132 is divisible by 11
2^4 and 3
:N 2:00:00
Thank you sir
48 ka divisibility rule 16 and 3 Sai divisble hona chahiye
Bro lcm or hcf se hota hai divisibility test😂
Divisibility is quite interesting ❤
Sir ye ch padhne se phle konse ch pdhna needed hai? Koi or bhi bta do pls
2^4 and 3^1 are diided 48..... 31:33
Completed
when a number is divided by 48 it must have to divide by 16 and 3
Can we take 2,3 as divisor in the last question
Thank you sir 💗😌
18:14 if and only if last 7 digits are divisible by 128
Di visibility rule of 48 =2 ^4× 3^1
@Abhishek for all classes from 8 to 12
@Abhishek bhai sabka same syllabus hai
7.05 .Sir jab hum 20 ko 3 se divide karenge toh 2 remainder bchta hai toh sir 3 divisor toh hai magar factor nhi
48 if divisible by 8,3and 2
48=16 and 3
System 💫💥
38:22 if a/b then how b=0 ?
CAN ANYONE PLEASE TELL ME HOW TO SOLVE THE HOMEWORK QUESTION..(JUST GIVE THE SHORT-SHORT HINTS,LIKE HOW TO APPROACH AND SOME STEPS :).. THANKS....
Where are the practice questions
Where r the prctc qustns
Pair 1^1987 with n^1987, so:
n+1 | n^1987+1^1987
n-1+2 | (n-1)^1987 + 2^1987
n+1 | (n-1)^1987 + 2^1987
Let E be the expression of the question
We can conclude that (n+1|E)
if n+1 divides E, when it is divided by n+2, it will give a remainder of 1 for all values of n
@@8523hineshnyati
Thanks for the explanation.
The no. Should be divisible by 16 and 3.
Sir kuch ques ko ham principal of mathematical induction se prove Kar sake hai ??? Plz reply sir.....❤❤❤❤❤
Sahi kaha Bhai Maine bhi aisa socha tha
Sir 7 se divisibility rule kya hota hai please bata dijiye
double the unit digit and subtract from the rest of the number. repeat. and if the last no is 0 or a multiple of 7 then it is divisible by 7.
Sir i am in class 9 it is for class 9 or any other class sir please tell me
Sir Maine algebra ke saare lectures dekhe h and I am able to solve 50% questions of module but I skip inequality because I am unable to understand it and I started number theory..
Is it OK???
I'm in 10th
BRO SAME THING
I M ALSO IN 10TH
FROM WHICH PLACE YOU ARE
Bro module kaha p h IOQM batch ki??
@@HereGupta you are in udaan batch
@@abhaypandey2452 you are in udaan batch
Bhai same case
Algebra me sab ban ja raha hai almost
But I am not interested in inequality 🥲
Sir
Ioqm me saari class ke baccho ka paper same aata hai
Maine kabhi diya nhi
Pehli baar hai❤
yes
What is solution for home work problem sir
Please upload lecture on app on the given timings.
Best teacher ❤ love from skylord
41:12
1 39:41
Is number theory easiest in IOQM ?
Yes😅
1:59:46 plz someone tell this
Pair 1^1987 with n^1987, so:
n+1 | n^1987+1^1987
n-1+2 | (n-1)^1987 + 2^1987
n+1 | (n-1)^1987 + 2^1987
Let E be the expression of the question
We can conclude that (n+1|E)
if n+1 divides E, when it is divided by n+2, it will give a remainder of 1 for all values of n
31:46 .... Sir 48 ka h 16 and 3
Sir app P full screen nhi aa rhi
IOQM batch k kisi bhi lecture per !!
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Update karo app ko..
i guess number theory is one of the most important topic for IOQM
16 3
Sir live class kab hota ha
1:59:00 please solve this
18:19 128 ka last ka 12 digits divible hon chahiye
kaunsi class ka hai ye
Nice
this is For class 9
Dear brothers and sister can anyone tell me what is IOQM
Maths olympiad
There will be questions on mathematics only
Class 8 - 12 eligible, but same paper
Bhai....iska form kb fill krna h
Does anyone knows where are the modules of IOQM batch???
Have sahib ji hmm Kah rate the ki plz sequence and series Kara dijiye
Sor I can't think hw question is should be easy
best lecture sir
Proof of divisibility rule of 11??
for which class is for this????
please reply anyone????
10 to 12
8-12
@@lucky-to3tiim in 7th gra-
23:42
Sir hindi midium wale ko dikat ho rahi hai caption unavailable hai sir uska kai upay bataeye
Play at 2x speed (TRANING CAMP vaale)
Yes
Did you complete both lec
31:37 2⁴×3¹
Who is here for ioqm traing camp goday lectures
Pathfinder vikas tiwari supremacy
Sir homework problem bi hogaya
Kon kon class 9th ka hai 😊
Main
Sir you ar bmna
31:45 4:08 4:10
sir kuch samaj nahi aya
Bhai aga tum naye ho tho kuch samaj nahi ane wala double dekho vedio ko yeh Olympiad aisa hi hai
Any one from BANGLADESH 🇧🇩🇧🇩
Kon Kon 2024 me doosri baar dekh raha hai
Me
Pls pin my comment sir😅😢❤
aagya puraana teacher ab sir khaye ga
just
joking
Nahi padhna toh bhag ! 🗿
Just joking