Factorials 5 || Number Systems || Quantitative Aptitude || CAT Preparation 2024

Number System by Ravi Prakash | Quantitative Aptitude for CAT 2024
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[@dmitrov6464]

For 99! = 25 * 3 + 24 R(99!) = (4^3) * (3! * 24!) ---------1 Now since we need the rightmost non zero digit any way I can calculate rightmost non zero digit of 24! as 24!= 5*4 + 4 and further applying 2^a * a! * b! which will give me 6 . Therefore, 24! gives 6 Putting in -------1 we have R(99!) = 4 * 6 * 6 = 4 . HOPE THIS APPLIES FOR 98! as well. Any feedback is appreciated.

[@AJ-rh6bv]

Beautifully explained brother Got confused in these types of questions but u came with best approach 👍😀

[@dmitrov6464]

@@AJ-rh6bv Thank you for leaving such a nice comment. Have a good day.

[@Rajkumar-fe8sd]

Aap chutiye ho

[@Kastrom_]

King shit

[@vivekchaurasia49]

please open ur channel

[@anishchhabra6085]

Great video sir, I wanted to add that when we have numbers that are not closer to 100 and are far from multiples of 25, in that case, it will be lengthy to use the reverse methodology, I feel it will be easier to use the division by 5 formula until we get smaller factorials (in this case we need to remember 2^10 = 1024, this might n=be useful for higher power of 2).

[@Mayankkumar-oh3fn]

Beautifully explained

[@Rodha]

Thankyou . There are lot of free Quant Practice Sessions, Quizzes and LRDI Practice Sessions on Unacademy. Go to My profile in Unacademy ( Link is below ). Go to Special Classes. All are free classes there. 90 high quality LRDI sets, Quant Practice Sessions. Ravi Prakash unacademy.app.link/Hq8gYtZjjab

[@siddhichavan99]

thank you so much for these videos sir ... nobody on KZbin has given such generous coaching for CAT

[@rudransh_33]

hii, 12^4 ke unit digit 36 kaise aaya sir konse video ki baat kar rahe hai

[@sreyashroutray811]

to find the last 2 non zero digits of any larger no , should the changes be made similar to the last non zero digit .?

[@nawalp5631]

you are a godsend 😭🙏🏻 most useful classes i’ve ever gotten on the internet

[@rudransh_33]

hii, 12^4 ke unit digit 36 kaise aaya sir konse video ki baat kar rahe hai

[@nawalp5631]

@@rudransh_33 I think he's referring to the classes on "speed maths" that he has done (not sure tho),, basically since 12^2 is 144 and if u do 44×44 rq it'll be 167+1670 which has 36 as its last two digits, atleast that's how I understood it

[@lunaticgaming3281]

Bhai syllabus toh nhi change hua hai na CAT ka ye sab hai na??

[@sheshavchaurasia2431]

Sir from where to solve quiz ? like you mentioned in the end of this video. pls help

[@ManuSrivastava_]

Thank you so much sir.❤❤

[@dishasingh7482]

Thank you, sir.

[@suryavoroy3527]

How to derive that formula ? Any link to the same?

[@Saaha999]

Sir why did you take right most digit of hundred as 1 it should be zero ? Right!

[@letslivelife786]

Were can i find quizes that sir is mentioning

[@sadasivamsubramoniam5832]

Thank you so much sir

[@ritikagaddellu7938]

Sir can u please reupload the quizzes.. I can't find here

[@amrithbabu486]

Where will I find the quizzes sir?

[@divyamahajan2405]

Where can we find quizzes?

[@aviraljain9325]

please edit the title so that its easier to find on youtube, keep it like -Last digit and 2 digit of a factorial

[@sauravkumar268]

sir saurav here what would we do in last question scenario if the a!>4 .. it would automatically add one zero at the end

[@kshitijbalonie4361]

thankyou

[@FoodieFrenzy-lr6sk]

Where to find questions for practice?

[@akasht1278]

Can u help me to find last non zero digit of 268factorial? Sir

[@brindha6042]

sir do u have a telegram group for doubt clarifications

[@YuvrajSingh-pz7wt]

Did u have placement preparation course

[@omnishant3628]

Sir...in d last question....when u were solving for....24×21....u have taken 04 as last two digits....but...we r actually want....last 2 non- zero digits na....then y have u taken...0 there?

[@rahulpitale6253]

SIr where can i find quizes?

[@devanshupadhyay6314]

lecture 9 is not found ???

[@rudrakshkaushik8490]

Where we can find quiz?

[@sumitgupta1144]

How can we find the last non zero digit of 96!

[@Czapekdox3733]

Where to get assignment and quizez

[@rekhajain2535]

Sir why you take last digit of 100= 1

[@karthikmadhusoodanan7274]

rightmost non zero digit , right most non zero last two digits.

[@amishakatkamwar4509]

Preparing for 2022 cat Thank you sir

[@Dhruv0521]

what was your cat percentile?

[@owaowa8442]

how do you find the last 2 digits of x square? what concept is he talking about

[@Shifna678]

Should i can use this for Atc aai exam?

[@karunadhingra9630]

Where we find quizes

[@manahilarif3196]

best

[@travelvlogs9578]

Where is lecture 9

[@kumarikhushi280]

How we will solve last two digits of 25!

[@utkarshagrawal8136]

Questions are very nice, but i have a problem regarding the formula, sir plz tell me the origin of this formula means how formula come

[@kaushikipathak464]

Where can we find videos which sir said while calculating 144×144 ?

[@sajal_dey_]

please share the link if anyone finds!

[@cumulusmusic100]

Thank you Sir 🙏.

[@rupashreenth]

Thanks a lot sir ❤️

[@adityajaiswal9156]

Is that select citywalk in your background?

[@spkbusinessD--]

shivam kamat (8) 2-8-2021 Thank you sir 🙏

[@11nikX09]

please provide the link of your square concept

[@anureetjuneja2903]

I don't think we've covered the concept of squares, have we? Please send me the link of the video in case i've skipped any lecture

[@christendsouza5845]

Not found any video but the concept is like this. 150-144=6 So 6 square is last 2 digits.

[@gutsyrider2]

Where did we take 150 from

[@vasubansal4154]

But why we took 4 ..

[@rajsingh-km5ss]

N! = 5a + b nhi.... N = 5a + b then solve for R(N!)

[@marvel46743]

How the formula changes from 2power a into 4 power a?

[@ShivamVerma-cp4bk]

I'm not able to understand this concept

[@basundharabhattacharjee6053]

sir where can we find your quizzes? please let us know.

[@sunnyhotwheelss9883]

Exactly the same question here from me... Where can we get the quizzes!!!

[@arunadityarajjain1129]

@@sunnyhotwheelss9883 they provided quizzes on their website back when they uploaded these videos

[@rishitchatterjee4682]

unacademy

[@jahnavigannu2474]

How can I find the right most non zero digit for 67! ? According to ur process it is becoming very lengthy sir

[@saikartheek992]

May be the answer is 2

[@ankeshsingh2576]

Hey, 67 is a prime number so we can't break it into factors. Approach: 67=25*2+17 4^2*2!*17!=32*17! Now: 17!=5*3+2 2^3*3!*2!=8*6*2=96 put it there in place of 17! 32*17! =32*96 ___2 R(67!)=2 Ans

[@anureetjuneja2903]

The answer according to me is 4. R(67!)= 25(2) + 17. 17= 5(3) + 2 R(17!)= 2^3*3!*2! =8 * 6 * 2 = 6 => R (67!)= 4^2 * 2! * 6! = 4. Let me know if there's any error.

[@Raj-fc4bz]

@@anureetjuneja2903 Instead of 6! Just put 6 And check the answer

[@malaydas7689]

@@anureetjuneja2903 in last 4^2*2!*17!=6*2*6=2(ans) .last line you do a small mistake

[@rahulghosh5137]

Using the formula for R 2(n!) for getting the last 2 nonzero digits, I am getting correct results for all numbers except multiples of such as 25,30 etc. Please tell me what I am doing wrongly Ravi sir. Also how to use this formula quickly for larger numbers with a= 15,20 etc ??

[@buddha7092]

Same doubt.

[@tarunaninawe2968]

If we need to find out the last two non zero digits of 30! Then it becomes 5*6+0 Then in the next step will we take (5*6+0) or not?

[@elcucuy2236]

we will break it as 5*5 + 3

[@justloveme28]

3?

[@gorangvishnoi7657]

25*1+5

[@saptarshidas488]

Yes u take it as (5*6+0), so last non 0 digit of 30! will be 2^6 * 6! which is 4*2 = 8

[@nikitaprajapati7628]

We just have to do :- 12⁵×5!=32(last two digits obtained from 12⁵)×12(last two digits obtained from 5!=84(last two non zero digits obtained from multiplying 32 & 12). So basically 84 are the 2 non zero digits of 25!

[@AdityaSharma-gf8zs]

17:10 I don't know this concept. Can anyone explain it to me or send a link where I can understand it ?

[@chhavitarak]

Please let me also know

[@tariqahmad2895]

sir, in this ques. you give ans. last non zero digit but ques says that right most non zero digit

[@AV-qz2jp]

ek hi baat hai bhai, it goes from left to right. = first to last.

[@dheerajkumar4487]

Sir, how are Arun Sharma's books for practice?

[@AbhishekKumar-he8zw]

If one has sufficient time, Arun Sharma QA is good to go with.

[@shreyakapoor7698]

what about finding lasr digit for 98! ?

[@saptarshidas488]

It will be 0 right? 98! must have trailing zeroes

[@Gautam_OG]

5:00 8:00 13:00 18:00

[@rupalichaudhary7128]

Sir how rightmost non zero digit of 100 is 1?

[@sunilrathod9709]

For example for 200 it is 2 For 4500 it is 5 They are asking for right most non zero digit

[@Mlaw0]

sir 13:00 right most digit of 100 is 0 so why you take 1 instead of 0

[@jayeshranjan4413]

Non zero digit brother.

[@Abhishekkumar-ww9rn]

Can anybody explain how 100 became 1 at 12:28 ?

[@RAHULDAS-nc2fp]

last non zero digit of 100 is 1 (by omitting the last two zeroes)

[@Abhishekkumar-ww9rn]

@@RAHULDAS-nc2fp thnk uh 😄

[@AayushKumar-mj6wb]

how 100 became 1

[@taherlokhandwala1811]

Please explain how is rightmost digit of 100 is 1....

[@KritiBhaskar-yk7gr]

same question i want to ask

[@vashishtjha1176]

Sir i don't understand anything😩🥺

[@akshatmishra7110]

how do we calculate for 98! ? at last we get, 100! = 98! x 99 x 100 and the , 4 = 98! x 9 x 1

[@hariharans6372]

Then wouldn't the answer be in fraction

[@saptarshidas488]

Just do 25a + b then

[@ptmohankumar]

Would be 6 as 9*6=5[4].

[@bhuwan._.]

100 ka 1 and 99 ka 9 kaise aaya . Please explain?

[@adityaagarwal8850]

@@ptmohankumar why would we multiply 9 by 6?

[@tanmaydhapodkar]

sir what will be the last two digit in 37! i got 92 is it correct

[@095shrutiomar5]

No

[@rohanshetty20]

Sir I am having trouble with questions where a base of number is changed to octa or binary. How to solve their factorials please help. Q) A number n! is written in base 6 and base 8 notation. Its base 6 representation ends with 10 zeroes. Its base 8 representation ends with 7 zeroes. Find the smallest n that satisfies these conditions. Also find the number of values of n that will satisfy these conditions.

[@Saaha999]

Can you plz tell my answer

[@somyadhoundiyal6372]

In the question of rightward non zero digit of 99! How is the R(100)= 1 instead of 0 Pls tell

[@sauravkumarsoni6488]

Because we have to take rightmost non zero digit and by omitting zeroes we get 1. Hope you get it.

[@somyadhoundiyal6372]

@@sauravkumarsoni6488 Thank you It's clear now 👌

[@sudhanshumishra3063]

​@@sauravkumarsoni6488no sir I am unable to get this ....can you please elaborate this?

[@agnipeshdyt7289]

video k last part mein to sir 5a+1 ka hi istamal kiya baki jo 5a+2 , 5a+3....5a+b tak to istamal nahi kiya....waisa ek example dikha dijiye plssss

[@garimatak5478]

Kuki waha b=1 h

[@shrushtiyadav]

Can some one tel me why 3*4 factorial he has taken

[@Pverma0]

When ??

[@p.navaneeth1746]

Right most non zero digit of 49!

[@ashutoshchavan8320]

4

[@Raj-fc4bz]

@@ashutoshchavan8320 Hi I'm not able to solve by reverse way

[@bharatibharati5260]

Sir for19! The last non zero digit is 4 but according to your formula I'm getting 2,kindly help me in this regard, thank you

[@rohanshetty20]

Rightmost digit in 19! Is 2. I literally multiplied and checked.

[@bharatibharati5260]

@@rohanshetty20 tq

[@shivi5031]

@@rohanshetty20 and 19! Right most 2 non zero digit is 24 ?

[@mukundmishra49]

sir what about 97!? i m getting 4=R(97)*16 =>0.5=R(97!) how to do this,if anyone is reading this comment please consider this question and answer

[@kankanaki4368]

same doubt

[@venkatasureshtelu2242]

R(99!) = R (98!) X 99 => 4 = R(98!) X 9 Then, R (98) = 4/9 ??? Please clarify.

[@immortalgaming958]

We have to find r 99 not r 98 bro ....u have found r98 😀

[@bhuwan._.]

100 ki jgh 1 or 99 ki jgh 9 kaise aaya . Please explain?

[@arunitajha7065]

rightmost of 100 is 1 . how???? pls tell sir.

[@Rodha]

rightmost non zero digit

[@priyahazarika8804]

Anyone please help. Me to find rightmost last two non zero digits of 67

[@justinthomas7520]

I'm getting 04 as the answer. If it's correct please reply back. Thank you

[@zeelkariya7784]

Sir mere pas sirf 70 days hai cat ki preparation ke liye to arun sharma ki books acchi rahegi ya fir koi aur book suggest karo na sir ..

[@deepanwitasahu1863]

Have you started preparation recently?

[@zeelkariya7784]

@@deepanwitasahu1863 yes

[@deepanwitasahu1863]

@@zeelkariya7784 can you please tell me your strategy?

[@zeelkariya7784]

@@deepanwitasahu1863 me sare subject me main main topics clear kar rahi hu jisme se jyada questions aate hai like quant me arithmetic ,algebra , geometry

[@zeelkariya7784]

@@deepanwitasahu1863 If you know the other strategy which is more helpful than plz share with me

[@utkarshtripathi2600]

(12:54) Sir but what if say R(49!) Is asked, If we take R(50!) = R(49!) × R(50), rightmost of 50 is 2 and rightmost of 50 is 5, and we cannot divide 2 by 5 to get the rightmost of 49!. Sir then how to solve such qns?

[@poojaaprmar359]

Will you pls last two digits of 32! ?

[@KiranKumar-dv3qs]

56

[@sudhanshukumarsingh8628]

What’s the explanation for 4*(3! 2!)

[@sudhanshukumarsingh8628]

How it came

[@abhiloypaul6954]

By formula

[@The-Indian-Identity]

can we do the same method for 79! using 80! which is equal to 80*79!?

[@p.navaneeth1746]

Last non zero digit of 25! Is 5*5+0 12^5*5!*5*5+0 32*20*25=16000 What I will consider sir 16 or either 00 But exact answer is 25 Exact and is not coming according to your concept sir

[@p.navaneeth1746]

Exact answer is not coming sir

[@charishmakolli3603]

You have written 25 in 5a+b form.. So R(N!) Becomes 2^a.a!.b?! But you have calculated for 12^a.a!.(5a+1) Check it

[@BNN_00]

15,511,210,043,330,985,984,000,000 --- value of 25! So, right most non-zero is 4. And if you use the method that shown in video then also you will get 4 as ans.

[@ShivamVerma-cp4bk]

Some one help me

[@jitendramahajan5368]

sorry 77! right most digit as per your calculation was 8 but actually its not 77 145,183,092,028,286,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 it should be 6. R we doing correct way?

[@sunilrathod9709]

Tera 77! Answer hi galat hai..8 is right answer

[@vinodluhana9776]

who is watching this videos in mobile?

[@nikitaprajapati7628]

Me & most of us

[@prashantchaudhary5944]

Bhai kitta percentile bana

[@mangaworld1651]

Kya krna hai yeh jan ke apko

[@kimjongunvevo]

Washing machine 🤚

[@Adeshsrivastava]

​@@kimjongunvevo Induction

[@alexandersupertramp3415]

99=25*4+(-1) How's that ?

[@poulamidas6559]

(25×4=100)-1=99

[@KanhaiyaKumar-xb4vy]

Ur given number is not working...

[@raviprakashicfaitech]

9555020070

[@utkarshagrawal8136]

@@raviprakashicfaitech hii

[@rajeevkumar-ti7zm]

Is there a sectional cut-off in CAT ??

[@abhishekraj-vj1ic]

YES FOR IIM IT IS THERE

[@mukeshsahufilms]

can anyone solve last 2 non zero digit of 31!

[@Pverma0]

According to my calculation It's 80

[@bhooooklagi]

What is the rightmost nonzero digit of 98! If we do it with the near to 100 concept then I am stuck here : R(100!) = R(98!) * 100*99 // 4= R(98!) *1*9 // R(98!) = 4/9 ? Kindly resolve?

[@rohanshetty20]

Exactly what I was thinking. Kindly help sir !

[@rohanshetty20]

And the thing is I Googled 98! value and it is 6. 4/9 is not equal to 6 so idk we must be missing out something.

[@anilbhai1652]

@@rohanshetty20 As we all are know, the teaching style of sir is too good, but in this topic sir didn't done their homework properly. To grab this concept soulfully, just visit the video. Here is the link. 👇 kzbin.info/www/bejne/fKCYoJyDnrGSgK8

[@anilbhai1652]

As we all know, the teaching style of sir is too good, but in this topic sir didn't done their homework properly. To grab this concept soulfully, just visit the video. Here is the link. 👇 kzbin.info/www/bejne/fKCYoJyDnrGSgK8

[@harshukrishnan.4906]

Don't go with near to 100 concept it doesn't work sometime

[@EE_PallaviRai_]

from where do we practice questions after this

[@Rodha]

TIME MATERIAL or QUANTUM CAT Book

[@faraznadeem7918]

At 11:42 ( can anyone explain, how come its 100! = 99! *100)

[@avishasrivastava5530]

100! can be written as 99! * 100 ( 100! is nothing but 1*2*3---------99*100)

[@swatimishra6806]

Please explain

[@nabisumpalal]

Didn't understand 😅😅😅

[@sukanyabaliarsingh204]

Where is the extra derivation video tho?

[@abhishekgaurav7786]

sir i think 6 is the last most digit in 99!

[@AbhishekKumar-he8zw]

Absolutely!

[@chhavitarak]

No ..the answer is 4 only

[@ambujmehrotra]

2023 cat

[@vishusingh3097]

Sir in my book it says that to find the number of zeroes in a factorial value we have to find the pair of 5*2 and u says that we have to look only on the no of 5 to find the trailing zeros .... Plzz sir rply my query I m really confused...

[@ashutoshchavan8320]

Numbers of 2 will always be greater than numbers of 5 .... so you will have to only check for 5 because the no of pairs will depend on 5's

[@vishusingh3097]

@@ashutoshchavan8320 Thanqq for your rply mr. And thanq for solving my confusion 😊❣️

[@vishusingh3097]

@@ashutoshchavan8320 hy mr... I have question for u ... Here u getting wrong. My question is find the consecutive zeros at the end of the following:- 57×60×30×15625×4096×625×875×975

[@vishusingh3097]

In this question no 5 is greater than no of 2 . So here this concept become wrong...

[@ashutoshchavan8320]

@@vishusingh3097 sir the concept is for finding zeroes of factorials😅 not for any random multiplication of numbers!

[@_pratik_koli9417]

16:53 4; is 7 why you take 24 there 🤯🤯🤯🤯

[@vinukartikpillai8]

4! is 4*3*2*1 = 24

[@ShekharSingh-fr3sh]

4:14 why didn't you factorise it? Is it a mistake? Because according to the formulae, it should be split in factors

[@bharathharshan3437]

he is only taking the last digit of every factorial(units place).

[@ShekharSingh-fr3sh]

@@bharathharshan3437 got it, thank you☺️