Remainders 7 || Number Systems || CAT Exam Preparation 2024 || Quantitative Aptitude
Number System by Ravi Prakash | Quantitative Aptitude for CAT 2024
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CAT PREPARATION 2024
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Пікірлер: 187
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 ...
@rajdebnath9681
2 жыл бұрын
Hey where I can get the quizzes bro????
@AniketKumar-ew3ns
2 жыл бұрын
@@rajdebnath9681 he posted it 3 years ago in community tab , you won't find it
@rajdebnath9681
2 жыл бұрын
@@AniketKumar-ew3ns from where to practice it now??
@amazingwonders6926
10 ай бұрын
Did u get into any IIM?
these lectures are really a blessing for my CAT 2024 preparation ❤
your videos are so addictive
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.... 🙏🌼
@Endever10
23 күн бұрын
Have you cracked it?🤔
Congrats for 100k sir
Really loved your intro music Sir.. great job. Thank you
@sayandeepdas8129
4 жыл бұрын
Awesome teaching style. Loved it!
@bhoomisingh3291
3 жыл бұрын
Lol
Now my concept is clear remainder should be always less then denominator.......... I did not visit -1 concept 😍
@heshamahmad4101
6 ай бұрын
bro remainder word ka matlab hi wahi hota hai..
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
@devanshupadhyay6314
3 жыл бұрын
thank u bhaiya ✌✌✌
@shankarsaraswat5149
3 жыл бұрын
rather solve using reverse euler. write 34!/37 as 35!/37=1. Much easy, stick to basics taught by sir only.
@Eth_com
Жыл бұрын
Thanks man
@princewable6854
Жыл бұрын
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]
AMAZING CONCEPTS SIR THANK YOU SO MUCH SIR
I solved 34!/37 directly by using 35!/37=1. Then going ahead.
thaaanks sir ji!!!
Thanks
Thank You So much sir
Thanks sir
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.
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??
@skarde6969
Жыл бұрын
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.
Thank you sir 🙏🏻
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.....
Thank you so much sir
Thank you Sir🙏
thankyou sir
Can anyone tell where i can get the questions which sir provides ??
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??
@1morerep491
3 жыл бұрын
by taking 35!, are you getting 18?
@sanchitsinghal3111
3 жыл бұрын
Yes
At 2:25 17!/16! Remainder should be 17,as everything will cancel out in the numerator except 17.
@Kalptaru16
8 ай бұрын
That is multiple not remaiinder
where is the quiz link sir is talking about in his videos
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
@saikishore6986
5 ай бұрын
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.
happy teachers day sir . and sir aapko jitna thankyou bolu ootna kam hai .
@Endever10
23 күн бұрын
Apki snap I'd?🤧
Sir, I used the other form ((p-2)!/p) to get the answer. But I am somehow unable to get it! Please explain...
@nitinparashar8977
5 жыл бұрын
Post the question.. in Sir's WhatsApp group
@niteshverma8027
4 жыл бұрын
i got it by using (p-2)!/p
@965vaibhav
4 жыл бұрын
@@niteshverma8027 cam you please explain
@ankitranjan9757
4 жыл бұрын
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
@mrunalmisal6896
4 жыл бұрын
@@niteshverma8027 how??
Who come here after recommendation from shweta Arora😇😇
@0007CD
3 ай бұрын
Tu hi bhai mujhe toh friend ne kiya reconmended
While solving for k in (23k-1)/-5|R = 0, why did we ignore negative sign of -5?
@parassingh9393
Жыл бұрын
Time = 27:00
@shashagaming4076
Жыл бұрын
Sign won't make any difference. For simplicity, just keep - sign to use in the end.
Sir, why we took 36!/37 Remainder. Can't we take 35!/37 because we know the remainder of this also which is +1.
@digvijayambule2754
3 жыл бұрын
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
@ammanscorpion03
3 жыл бұрын
yes, we can. the answer will be same.
@shankarsaraswat5149
3 жыл бұрын
@@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.
Sir in last question why didn't we take -5 as denomination for 23k-1?
Sir wher is the quiz
Hello sir, kindly clarify my doubt. The digital sum of 1003 is 4, then why it is not a prime number?
@thecuriouskid4481
2 ай бұрын
what has the digital sum got to do with prime number?
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.
@ShekharSingh-fr3sh
2 жыл бұрын
You are doing the same comment on every of his video. Hope you have find it and please share if that is.
@supriyas97
Жыл бұрын
it's on unacademy
Sir for 17!/23 isnt it 23k-11
In The first example you gave of 16!/17!, remainder is 16! Or 16?
@shreyvarma9375
3 жыл бұрын
16!
@komaldane9319
2 жыл бұрын
16
Sir do we really need to remember all these theorems and methods?
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..
@anilbhai1652
4 жыл бұрын
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.
@vedanthonrao977
4 жыл бұрын
@@anilbhai1652 Thanks for the explanation.
in 34!/37 how can u write the remainder as 37k-1? it is not matching with the formula
@sanidhyasetu6480
4 жыл бұрын
yes
@aryanmadaan4434
4 жыл бұрын
check out in the previous video remainder form as divisor is 37 therefore it has been written as 37k-1
@anilbhai1652
4 жыл бұрын
@@aryanmadaan4434 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!.
@aniketprakash265
3 жыл бұрын
This is matching with formula,because we write the number divide by 37 leaves remainder-1
wilson's theorem(very imp)
@suryavoroy3527
Жыл бұрын
for (n-2)! use reverse euler theorem!
@suryavoroy3527
11 ай бұрын
for (n-3)! by n where n is prime ,the remainder is (n-1)/2
Sir i request you to say loudly or change your microphone
wilson remainder theorem
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...
@swapnilpurkait9635
4 жыл бұрын
@@amanchaudhary8332 :D
@anuj4200
3 жыл бұрын
Is there a group or not?
@ranjanagehlot9631
3 жыл бұрын
@@anuj4200 no, there is no whats up grp.
@anuj4200
3 жыл бұрын
@@ranjanagehlot9631 ok
@nikitaprajapati7628
3 жыл бұрын
@@parmoksha where is that???
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.
@Rodha
6 ай бұрын
Arey.. achhe se dekho last waala. 1009 I told prime number
@gauravagrawal2826
6 ай бұрын
@@Rodha yes sir I have again watched it now I am clear about it. Thank you 🙏😊
for question 17!/23 23k+11/9 = 5k+2/9 = therefore k=5 nd ans is 3 is it wrong??
@Eth_com
2 жыл бұрын
You have to put the value of k in 1st equation (23k+11/9) not in 5k+2/9.
What is answer of 58!-38!
Can someone explain if remainder is in positive term how do we find the negative remainder am confused
@mansidabhi6016
Жыл бұрын
Watch the first video for Remainders.
@AbhishekSingh-jj8fx
Жыл бұрын
Subtract the divisor from positive remainder, you will get the negative remainder.
Can anyone tell me that how 17!÷16! gives zero remainder and not 17 ???? Also how 1001! Is completely divided by 1003
@maitrisinghai
5 ай бұрын
han vahi tho merko bhi smjh nahi aaya
@sohammhatre433
3 ай бұрын
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 !
@sohammhatre433
3 ай бұрын
@@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
Where i missing concept?
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
@Rodha
11 ай бұрын
Factors 1
@chandrabhachatterjee2472
11 ай бұрын
@@Rodha yes sir i get that now actually i am following your whole playlist and factors are after remainder thats why
I can't understand one thing that How 20!/23 remainder is 11 And how do we know that
@Rodha
Жыл бұрын
This is Wilson's theorem
@preran67492
Жыл бұрын
@@Rodha but sir in Wilson theorem p-1!or p-2! Is the concept
shivam kamat (21) 03-9-2021 thank you sir 🙏
Is 53!/59=30 sir please reply or give heart if i am right
4:15. 21 factorial / 23 ka remainder 1 kaise hua can somebody plzz explain me
@bhargaviagrawal7216
3 жыл бұрын
It is according to the second formula: remainder of (n-2)! / n = +1
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
@anilbhai1652
4 жыл бұрын
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😀
quiz link pls !!
damn i have already completed 20 videos of yours without any break
@truptinarkhede4850
3 жыл бұрын
Ya, But how can you!? Seriously without break!😁
@truptinarkhede4850
3 жыл бұрын
What are you preparing for BTW!?
@govindrituraj1816
2 жыл бұрын
Bhai approx 9-10 hr cont.👍🏻
At 21:23 how the positive remainder is 9 plzzz explain me
@ranjithamurugavel1973
2 жыл бұрын
23-14=9
how -60/23= positive rem 9?
@parthgilra6956
3 жыл бұрын
negative remainder is -14 so positive rem will 23-14=9
Sir what if denominator is non-prime?
@jatinyadav5311
2 жыл бұрын
Then go with Euler
how is 1001!/17*59 leave no remainder?
@rishitchatterjee4682
3 жыл бұрын
1001! = 1*2*3*4...............*1001 this would include both 17 and 59 and wouldn't leave any remainder
Can any one explain how 34! Becomes 34!×35×36
4:00 10:00 13:00 15:00 19:00 24:00
Where are the quizzes in FB group?
Thank you so much sir.❤❤
17! / 16!, remainder should be 17 right? Please help me.
@J._._._._._._J903
11 ай бұрын
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
Is it useful for upsc
Why 36! /37 gives us -1?? Can anyone explain?
@shaktiray9370
3 жыл бұрын
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 .
@ranjanagehlot9631
3 жыл бұрын
@@shaktiray9370 Thanks!!
Plz can someone solve 37!/41
@3:47 the remainder will be 28 or 28! Sir please reply!:-)
@jitendrasoni7793
3 жыл бұрын
The remainder is 28 not 28!
Sir I can't understand how (p -2)!/ P is plus 1???
@Endever10
23 күн бұрын
If you can't understand simple equation😊 how are you planning to crack cat🤔
@priyakocher_spmc3509
23 күн бұрын
@@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.
@Endever10
22 күн бұрын
@@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😊
@priyakocher_spmc3509
20 күн бұрын
@@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.'
@Endever10
20 күн бұрын
@@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.
17!/16! Remainder is 17?? Because 17!/16! = 16!*17/16! It's remainder is 17 I think??
@RaviSharma-cp2fm
4 жыл бұрын
Value is 17 its corect but rem.is 0.which he is talking about ..remainder..
@kanandnaik5677
4 жыл бұрын
0
@nancyjain6259
4 жыл бұрын
@@RaviSharma-cp2fm ok thanx
@mayankmalik9818
4 жыл бұрын
I also have same doubt .
@spandanareddy4912
4 жыл бұрын
@@RaviSharma-cp2fm 17/16! gives 17 as a remainder na? Please explain sir
Why the Wilson's rule is not applied on this question : 97! / 101?
@anilbhai1652
4 жыл бұрын
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.
@AdityaKumar-ez4pr
Жыл бұрын
Bro 98!/101 remainder is 49
@Ankit-mp9gf
5 ай бұрын
Bro 101 is not a prime number
I'm stuck In 24:00
17!/16! Remainder is 17?? I too have the same doubt sir. Could u help me understanding this?
@anilbhai1652
4 жыл бұрын
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.
@vasudhaverma8098
3 жыл бұрын
@@anilbhai1652 hello sir, how come 16! completely divisible by 17! Please explain this
@anilbhai1652
3 жыл бұрын
@@vasudhaverma8098 hi dear, 17! Mean 17 times 16! as 17! = 17x16x15x14x13.... X1 Or 17! = 17x16! Right . So (17 x 16 !)/ 16 ! = 17.
@vasudhaverma8098
3 жыл бұрын
@@anilbhai1652 But sir as you say still i got 17 as a remainder not zero
@anilbhai1652
3 жыл бұрын
@@vasudhaverma8098 17 is a quotient not a reminder
Where is the god damn quiz?
@Rodha
3 жыл бұрын
All the advance level quiz questions I have discussed in free classes at Unacademy. Just follow from following link. kzread.info/dash/bejne/o59-2KuwiqrdXc4.html You need to put invite code - RAVIRODHA
Aawaz kitna Kam aata hai 😭😭😭