Sir, if I able to crack cat or other exams it's because of you... Thank you for such a explanation with such a clarity... Thank you so much sir ji.... 🙏🌼
For those, who are trying to get answer 18 in question 34!/37 when we apply the second formula. 35!/37 = +1 35 x 34! / 37 = +1 Since the remainder for 35 / 37 is -2 so we have to alter our positive remainder in RHS to negative remainder to get a positive integer which is -36. 34! / 37 =-36 / -2 = 18 Tada
That's a wrong explanation, since 35!/37 = +1 therefore 35 * 34!/37 = 37K + 1 -2 * 34!/37 = 37K+1 34!/37 = (37K + 1)/(-2) Now we consider smallest value of K to be divisible by 2. so K = 1 therefore 34!/37 = 38/(-2) = -19 or 18 [using negative remainder]
Just Trying by second Formula of Wilson's Remainder Theorem Q. 34!/37 Sol. as we know that 35!/37 = +1 (34!*35)/37 = 37k + 1 34!/37 = (37k + 1)/35 .........(1) now solving RHS (2k + 1)/35 therefore, k=17 now putting 'k' in Eq. (1) (629 + 1)/35 630/35 = 18 - Final Answer
bro instead of that big process it also be done through this process 35!/37=1 34!*35/37=1 34!* -2/37=1 (here we got -2 because as we know 35/37 R=35 or -2) transposing -2 to rhs and solving rhs 1/-2*-1/-1 (here we multiplying 1/-2 with -1/-1 to get denominator positive value) -1/2 i.e 36/2 =18.
Rather solve using reverse euler. write 34!/37 as 35!/37=1. Then use reverse euler write 35!/37=(37k+1)/35 and solve for k, much easier. Stick to basics taught by sir only.
When solving the two questions 34!/37 and 20!/23, why you always started the number which was two ahead, for instance 36!/37 and 22!/23 respectively and not 35!/37 and 21!/23??
Sir in last question 17!/23 you have taken form as 23k-1 but you have said we can take both that is 23k-1 or 23k+22 but we use form as 23k+22 answer will get different please once can you say? Using form 23k+22/5=3k+2/5 At k=1 remainder will be 0
sir in factors-1 you have told that 1003 is the smallest 4 digit prime number but in this video you have told its not prime number, I am confused please help me to resolve this.
For some reason when I try to solve Remainder of (48)^(45) when divided by 35. I get correct answer as 13 if I use Chinese remiander theorem and the method explained by Ravi sir, but, when I directly apply Euler's remainder theorem here, I am getting wrong answer. How is that possible??
Firstly you need to check if X/B are both co - prime to each other and that they have nothing in common. After that you need to find out the Euler number of the denominator which is 35 here. if you solve directly by Euler it will be really difficult to diminish the powers which is why you might be getting an incorrect answer. Also, when we use chinese rem theorem we split the denominator into two prime numbers and then use Euler. ( 5*7) hope it helped.
17! = 17 x 16 x 15 x .....x 2 x 1 , 16! = 16 x 15 x 14 x .... x 2 x 1, so agar (17! / 16 !) => denominator and numerator ke 16! tk sb divide ho jayenge, that's why remainder 0 hoga. try any smaller number for example, (6! / 4!) => 720 / 24 => completely divides, that's why rem. is 0 in any situation where numerator ! > denominator !
@@maitrisinghai also, 1003 = 59 * 17 and 1001! = 1001 x 1000 x 999 x 998 x...... x 2 x 1, so imagine 1001! me ek 59 and ek 17 bhi aayega, that means numerator is multiple of 59 x 17, that means it is completely divisible, so rem. is 0
@@digvijayambule2754 rather solve using reverse euler. write 34!/37 as 35!/37=1. Then use reverse euler write 35!/37=(37k+1)/35, much easier. Stick to basics taught by sir only.
But why do we always have to multiply K by nearest no. Possible... Like in 34!/37.. we took 37(1)-1÷2...why can't we take 37(3)÷2 ... Just want to know the logic behind taking the minimum value of k possible..
To avoid one or more steps even after doing these much steps, suppose if you take k=3 then value will be 55 but it is still divisible by 37 then again you have to find remainder of 55/37 thats at the end will give you 18 as a remainder. So if you can avoid such one or more steps by just taking lowest value of K then who will do such stupidity to waste his/her time.
Plz could u explain by expanding (21)!/23 how do we get the remainder as +1. here u have used the formula directly but it would be better if the example on it would me illustrated and explained. that is the proof of how wilsons rem theorem yields -1 and +1
This theorem belongs to higher mathematics, no need to know from where the formula came. If still curious to know go online and find your answer. If you understand, explain to me too😀
@@Aryan.MadaanVlogs Actually remainder of 36!/37 is -1 as we all know, but we can say it as sentence viz. A number ( 36! ) When divided by 37 gives -1 as a remainder then definitely you can write it as the number 36! is a factor of 37K - 1, because at a particular very high value of K 37K - 1 gives you 36! Or if you want to completely divide 36! With 37 you have to add 1 into 36!.
If anyone is able to find the quiz/practice questions can you please share the link. On unacademy where sir has mentioned I can only find the concept videos on remainders.
Apart from the formulae. Withing 36!, There is no 37. As 37 is prime , it has no factors . So , the 37 when divides 36!, It gives a remainder of -1. For instance , Just like remainder of 6/7 is -1 .
I know how you get 17 as remainder. What does 17! Mean ? 17x16! Right or 17 times 16! Now if you divide 16! With 17times 16! Definitely your answer will be 0, because 16! Divides 17! Totally 17 times without leaving any remainder. If still not understand tell me what is the remainder of 10/2. Now your answer should be 5, is it ? No because 10/2 = 5×2/2, just cut the 2 with 2 and you get 5 as a remainder, according to you. No we must not cut the numbers.
@@Endever10 how will you identify if i am lying or is it true?? Like why don't you keep your focus on the reason u r here on this channel...m sure to study nit wasting time on someone's 'truth of life.'
@@priyakocher_spmc3509 IT DOESN'T MATTER TO ME IF YOU ARE LYING OR NOT I SIMPLY ASKED YOU A QUESTION. And i am not wasting time here just because you are older than me it doesn't mean to ask you something I am wasting time I asked you cause maybe you are more experienced than me you can help me in scoring good percentile in cat. But Ig that we'll never know.
All the advance level quiz questions I have discussed in free classes at Unacademy. Just follow from following link. th-cam.com/video/qkJvIwZGw-k/w-d-xo.html You need to put invite code - RAVIRODHA
Who says ? I got 17 as an answer by applying Wilson's theorm. Here are the steps :- First find the remainder of 98!/101 which is 50. But you can't use 50 so use K form which is 101K + 50. So remainder of (97! × 98)/101 = 101K + 50. Or (97! × -3 )/101 = 101K + 50 Or 97!/101 = -(101K + 50)/3 Find the value of K which is 2 So 97!/101 = -252/3 or -84 or 17.
Every video of yours is giving me motivation for CAT ...and it's really amazing to see the most talented person...please don't stop vedio ...
Hey where I can get the quizzes bro????
@@rajdebnath9681 he posted it 3 years ago in community tab , you won't find it
@@AniketKumar-ew3ns from where to practice it now??
Did u get into any IIM?
these lectures are really a blessing for my CAT 2024 preparation ❤
Sir, if I able to crack cat or other exams it's because of you... Thank you for such a explanation with such a clarity... Thank you so much sir ji.... 🙏🌼
Have you cracked it?🤔
your videos are so addictive
For those, who are trying to get answer 18 in question 34!/37 when we apply the second formula.
35!/37 = +1
35 x 34! / 37 = +1
Since the remainder for 35 / 37 is -2 so we have to alter our positive remainder in RHS to negative remainder to get a positive integer which is -36.
34! / 37 =-36 / -2 = 18
Tada
thank u bhaiya ✌✌✌
rather solve using reverse euler. write 34!/37 as 35!/37=1. Much easy, stick to basics taught by sir only.
Thanks man
That's a wrong explanation, since 35!/37 = +1 therefore
35 * 34!/37 = 37K + 1
-2 * 34!/37 = 37K+1
34!/37 = (37K + 1)/(-2)
Now we consider smallest value of K to be divisible by 2. so K = 1 therefore
34!/37 = 38/(-2) = -19 or 18 [using negative remainder]
@@princewable6854 jod bro
Just Trying by second Formula of Wilson's Remainder Theorem
Q. 34!/37
Sol.
as we know that
35!/37 = +1
(34!*35)/37 = 37k + 1
34!/37 = (37k + 1)/35 .........(1)
now solving RHS
(2k + 1)/35
therefore, k=17
now putting 'k' in Eq. (1)
(629 + 1)/35
630/35 = 18 - Final Answer
bro instead of that big process it also be done through this process
35!/37=1
34!*35/37=1
34!* -2/37=1 (here we got -2 because as we know 35/37 R=35 or -2)
transposing -2 to rhs and solving rhs
1/-2*-1/-1 (here we multiplying 1/-2 with -1/-1 to get denominator positive value)
-1/2 i.e 36/2
=18.
Who come here after recommendation from shweta Arora😇😇
Tu hi bhai mujhe toh friend ne kiya reconmended
Who came here after ... ........
Best of luck for cat
Congrats for 100k sir
Now my concept is clear remainder should be always less then denominator..........
I did not visit -1 concept 😍
bro remainder word ka matlab hi wahi hota hai..
Rather solve using reverse euler. write 34!/37 as 35!/37=1. Then use reverse euler write 35!/37=(37k+1)/35 and solve for k, much easier. Stick to basics taught by sir only.
Really loved your intro music Sir.. great job. Thank you
Awesome teaching style. Loved it!
Lol
At 2:25 17!/16! Remainder should be 17,as everything will cancel out in the numerator except 17.
That is multiple not remaiinder
Sir sikhaya hua waste na jane de dost😅😂
When solving the two questions 34!/37 and 20!/23, why you always started the number which was two ahead, for instance 36!/37 and 22!/23 respectively and not 35!/37 and 21!/23??
by taking 35!, are you getting 18?
Yes
Sir in last question 17!/23 you have taken form as 23k-1 but you have said we can take both that is 23k-1 or 23k+22 but we use form as 23k+22 answer will get different please once can you say?
Using form 23k+22/5=3k+2/5
At k=1 remainder will be 0
thaaanks sir ji!!!
Sir i request you to say loudly or change your microphone
Congratulations on 366k❤😅💯
Thanks
4:00 10:00 13:00 15:00 19:00 24:00
thankyou sir
I solved 34!/37 directly by using 35!/37=1. Then going ahead.
sir in factors-1 you have told that 1003 is the smallest 4 digit prime number but in this video you have told its not prime number, I am confused please help me to resolve this.
Arey.. achhe se dekho last waala. 1009 I told prime number
@@Rodha yes sir I have again watched it now I am clear about it. Thank you 🙏😊
Thank You So much sir
happy teachers day sir . and sir aapko jitna thankyou bolu ootna kam hai .
Apki snap I'd?🤧
While solving for k in (23k-1)/-5|R = 0, why did we ignore negative sign of -5?
Time = 27:00
Sign won't make any difference. For simplicity, just keep - sign to use in the end.
wilson's theorem(very imp)
for (n-2)! use reverse euler theorem!
for (n-3)! by n where n is prime ,the remainder is (n-1)/2
Sir in last question why didn't we take -5 as denomination for 23k-1?
Sir, I used the other form ((p-2)!/p) to get the answer. But I am somehow unable to get it! Please explain...
Post the question.. in Sir's WhatsApp group
i got it by using (p-2)!/p
@@niteshverma8027 cam you please explain
R(20!x21/23)=23k+1
R(20!/23)= (23k+1)/21
solving RHS
R(2k+1)/21)=0
therefore k=10
hence, 23x10+1=231
R(20!/23)=231/21=11
@@niteshverma8027 how??
In The first example you gave of 16!/17!, remainder is 16! Or 16?
16!
16
Sir, p-1 factorial by p =-1 then 22!/23=-1or +22
Then... 22*21*20*19*18*17!/23 =22 (remainder) ..I m missing something... Can anyone tell me.....
For some reason when I try to solve Remainder of (48)^(45) when divided by 35. I get correct answer as 13 if I use Chinese remiander theorem and the method explained by Ravi sir, but, when I directly apply Euler's remainder theorem here, I am getting wrong answer. How is that possible??
Firstly you need to check if X/B are both co - prime to each other and that they have nothing in common. After that you need to find out the Euler number of the denominator which is 35 here. if you solve directly by Euler it will be really difficult to diminish the powers which is why you might be getting an incorrect answer. Also, when we use chinese rem theorem we split the denominator into two prime numbers and then use Euler. ( 5*7) hope it helped.
Sir for 17!/23 isnt it 23k-11
what if denominator is not a prime number???
Sir do we really need to remember all these theorems and methods?
I can't understand one thing that
How 20!/23 remainder is 11
And how do we know that
This is Wilson's theorem
@@Rodha but sir in Wilson theorem p-1!or p-2! Is the concept
Can anyone tell me that how 17!÷16! gives zero remainder and not 17 ????
Also how 1001! Is completely divided by 1003
han vahi tho merko bhi smjh nahi aaya
17! = 17 x 16 x 15 x .....x 2 x 1 , 16! = 16 x 15 x 14 x .... x 2 x 1, so agar (17! / 16 !) => denominator and numerator ke 16! tk sb divide ho jayenge, that's why remainder 0 hoga. try any smaller number for example, (6! / 4!) => 720 / 24 => completely divides, that's why rem. is 0 in any situation where numerator ! > denominator !
@@maitrisinghai also, 1003 = 59 * 17 and 1001! = 1001 x 1000 x 999 x 998 x...... x 2 x 1, so imagine 1001! me ek 59 and ek 17 bhi aayega, that means numerator is multiple of 59 x 17, that means it is completely divisible, so rem. is 0
How can we take positive remainder in last question as 9 it should be 14
how is remainder 18 ?? 36/2 completely divides so remainder is 0 but why we take 18 ??
We are not taking remainder of 36/2 only simply dividing it
Can we all CAT aspirants make a what's app group, in which we can share our problems and try to solve them.
Give your suggestions...
@@amanchaudhary8332 :D
Is there a group or not?
@@anuj4200 no, there is no whats up grp.
@@ranjanagehlot9631 ok
@@parmoksha where is that???
What is answer of 58!-38!
Is 53!/59=30 sir please reply or give heart if i am right
Thank you Sir🙏
Where are the quiz questions sir?
Thank you so much sir
for question 17!/23
23k+11/9 = 5k+2/9 = therefore k=5 nd ans is 3 is it wrong??
You have to put the value of k in 1st equation (23k+11/9) not in 5k+2/9.
Hello sir, kindly clarify my doubt. The digital sum of 1003 is 4, then why it is not a prime number?
what has the digital sum got to do with prime number?
Thank you sir 🙏🏻
Sir, why we took 36!/37 Remainder. Can't we take 35!/37 because we know the remainder of this also which is +1.
It will become +1/-2 so we have to convert +1 into -ve remainder which is -36 (1-37) so ans will be same but to get the formula 37k-1 he is using that
yes, we can. the answer will be same.
@@digvijayambule2754 rather solve using reverse euler. write 34!/37 as 35!/37=1. Then use reverse euler write 35!/37=(37k+1)/35, much easier. Stick to basics taught by sir only.
@3:47 the remainder will be 28 or 28!
Sir please reply!:-)
The remainder is 28 not 28!
sir in which video you have said that 1001=13k, 1003=17k etc etc, actually i couldn't able to find it i am following this whole playlist
Factors 1
@@Rodha yes sir i get that now actually i am following your whole playlist and factors are after remainder thats why
17!/16! Remainder is 17??
Because 17!/16! = 16!*17/16! It's remainder is 17 I think??
Value is 17 its corect but rem.is 0.which he is talking about ..remainder..
0
@@RaviSharma-cp2fm ok thanx
I also have same doubt .
@@RaviSharma-cp2fm 17/16! gives 17 as a remainder na? Please explain sir
how -60/23= positive rem 9?
negative remainder is -14 so positive rem will 23-14=9
But why do we always have to multiply K by nearest no. Possible...
Like in 34!/37.. we took 37(1)-1÷2...why can't we take 37(3)÷2 ... Just want to know the logic behind taking the minimum value of k possible..
To avoid one or more steps even after doing these much steps, suppose if you take k=3 then value will be 55 but it is still divisible by 37 then again you have to find remainder of 55/37 thats at the end will give you 18 as a remainder.
So if you can avoid such one or more steps by just taking lowest value of K then who will do such stupidity to waste his/her time.
@@anilbhai1652 Thanks for the explanation.
where is the quiz link sir is talking about in his videos
Sir wher is the quiz
Can someone explain if remainder is in positive term how do we find the negative remainder am confused
Watch the first video for Remainders.
Subtract the divisor from positive remainder, you will get the negative remainder.
damn i have already completed 20 videos of yours without any break
Ya, But how can you!?
Seriously without break!😁
What are you preparing for BTW!?
Bhai approx 9-10 hr cont.👍🏻
17! / 16!, remainder should be 17 right? Please help me.
17 will be answer to this question ... the remainder will be 0 because 16! will get completely cancelled
Almost every video is having sound issue
wilson remainder theorem
Can anyone tell where i can get the questions which sir provides ??
Where i missing concept?
thankyou sir
Can any one explain how 34! Becomes 34!×35×36
At 21:23 how the positive remainder is 9 plzzz explain me
23-14=9
I'm stuck In 24:00
Plz could u explain by expanding (21)!/23 how do we get the remainder as +1. here u have used the formula directly but it would be better if the example on it would me illustrated and explained. that is the proof of how wilsons rem theorem yields -1 and +1
This theorem belongs to higher mathematics, no need to know from where the formula came.
If still curious to know go online and find your answer. If you understand, explain to me too😀
Thank you so much sir.❤❤
in 34!/37 how can u write the remainder as 37k-1? it is not matching with the formula
yes
check out in the previous video remainder form as divisor is 37 therefore it has been written as 37k-1
@@Aryan.MadaanVlogs Actually remainder of 36!/37 is -1 as we all know, but we can say it as sentence viz. A number ( 36! ) When divided by 37 gives -1 as a remainder then definitely you can write it as the number 36! is a factor of 37K - 1, because at a particular very high value of K 37K - 1 gives you 36! Or if you want to completely divide 36! With 37 you have to add 1 into 36!.
This is matching with formula,because we write the number divide by 37 leaves remainder-1
6
Where are the quizzes in FB group?
Sir what if denominator is non-prime?
Then go with Euler
quiz link pls !!
If anyone is able to find the quiz/practice questions can you please share the link. On unacademy where sir has mentioned I can only find the concept videos on remainders.
You are doing the same comment on every of his video. Hope you have find it and please share if that is.
it's on unacademy
Plz can someone solve 37!/41
how is 1001!/17*59 leave no remainder?
1001! = 1*2*3*4...............*1001
this would include both 17 and 59 and wouldn't leave any remainder
4:15. 21 factorial / 23 ka remainder 1 kaise hua can somebody plzz explain me
It is according to the second formula: remainder of (n-2)! / n = +1
Why 36! /37 gives us -1??
Can anyone explain?
Apart from the formulae.
Withing 36!, There is no 37.
As 37 is prime , it has no factors .
So , the 37 when divides 36!, It gives a remainder of -1.
For instance , Just like remainder of 6/7 is -1 .
@@shaktiray9370 Thanks!!
Aawaz kitna Kam aata hai 😭😭😭
shivam kamat (21)
03-9-2021
thank you sir 🙏
17!/16! Remainder is 17?? I too have the same doubt sir. Could u help me understanding this?
I know how you get 17 as remainder.
What does 17! Mean ?
17x16! Right or 17 times 16!
Now if you divide 16! With 17times 16! Definitely your answer will be 0, because 16! Divides 17! Totally 17 times without leaving any remainder.
If still not understand tell me what is the remainder of 10/2.
Now your answer should be 5, is it ?
No because 10/2 = 5×2/2, just cut the 2 with 2 and you get 5 as a remainder, according to you.
No we must not cut the numbers.
@@anilbhai1652 hello sir, how come 16! completely divisible by 17! Please explain this
@@vasudhaverma8098 hi dear, 17! Mean 17 times 16! as 17! = 17x16x15x14x13.... X1
Or 17! = 17x16! Right .
So (17 x 16 !)/ 16 ! = 17.
@@anilbhai1652 But sir as you say still i got 17 as a remainder not zero
@@vasudhaverma8098 17 is a quotient not a reminder
Sir I can't understand how (p -2)!/ P is plus 1???
If you can't understand simple equation😊 how are you planning to crack cat🤔
@@Endever10 before replying pls see that was of 2 yrs old comment! Now i am in my college by scoring enough!!
Wish the same for you.
@@priyakocher_spmc3509 how much percentile you scored and which clg you are in? I mean where are you placed at? And plz don't lie😊
@@Endever10 how will you identify if i am lying or is it true?? Like why don't you keep your focus on the reason u r here on this channel...m sure to study nit wasting time on someone's 'truth of life.'
@@priyakocher_spmc3509 IT DOESN'T MATTER TO ME IF YOU ARE LYING OR NOT I SIMPLY ASKED YOU A QUESTION. And i am not wasting time here just because you are older than me it doesn't mean to ask you something I am wasting time I asked you cause maybe you are more experienced than me you can help me in scoring good percentile in cat. But Ig that we'll never know.
Where is the god damn quiz?
All the advance level quiz questions I have discussed in free classes at Unacademy. Just follow from following link.
th-cam.com/video/qkJvIwZGw-k/w-d-xo.html
You need to put invite code - RAVIRODHA
Thanks sir
Is it useful for upsc
Why the Wilson's rule is not applied on this question : 97! / 101?
Who says ?
I got 17 as an answer by applying Wilson's theorm. Here are the steps :-
First find the remainder of 98!/101 which is 50.
But you can't use 50 so use K form which is 101K + 50.
So remainder of (97! × 98)/101 = 101K + 50.
Or (97! × -3 )/101 = 101K + 50
Or 97!/101 = -(101K + 50)/3
Find the value of K which is 2
So 97!/101 = -252/3 or -84 or 17.
Bro 98!/101 remainder is 49
Bro 101 is not a prime number