Factorials 4 || Number Systems || Quantitative Aptitude || CAT Preparation 2024

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Number System by Ravi Prakash | Quantitative Aptitude for CAT 2024
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CAT PREPARATION 2024
How to Prepare for Quantitative Aptitude
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Комментарии : 235

@AWSFan Год назад

54! means 3 extra 3's are multiplied, which means power of 3 should be 26, not 25 at 8:34

@Tusharbharti3887 6 месяцев назад

because 3 ^2 =9*6 =54 so that's why adding 2 power

@copyright1621 6 месяцев назад

@@Tusharbharti3887what about 3*2 for 6

@harshadnotmehta 4 месяца назад

that should make it 3^26 then. in the next question as well

@ultimatefoodfam9228 4 месяца назад

We take only the square or cube thing to consider whether 3 will come 2 times or one time as 9x6=54 , 9 is 3^2 that's why only 2 3's will be added

@paritoshkumar1762 4 месяца назад

@@ultimatefoodfam9228 no he's right 54 is 3x3x3x2 thus 54! will have 3 to the power 26 which is a three extra than 53! Which only has 23. Sir did a small mistake

@divyahappy2050 4 года назад

To those who want to know why we are multiplying by 4,is because..the first (1) trailing zero is added in 5! i.e after (1*4)! And next trailing zero(2trailing zeros )are added after 9 factorial.. i.e after (2*4)8!..so it's a constant practice that we multiply the no of trailing zeroes with 4 to find approximately after which number we need to check

@Prajjwal_Agnihotri 2 года назад

Thanks!

@adityaagrahari6163 2 года назад

Thanks!

@rajusfoundationforcbseiit3026 Год назад

I don't know where does this intelligence come from

@suryavoroy3527 Год назад

Thanks a lot for enlightening us, Divya!

@valentino-no1gy Год назад

Thankuu

@IneffableIshan 4 месяца назад

The amount of dopamine released when you solve a problem by yourself is much higher than smoking an entire cigarette.

@abirraj2475 3 дня назад

xhet!!!!

@vipulmishra1335 3 года назад

To all those who are wondering, always multiply the power of prime no by prime no-1, you'll get the approx idea of where the exact no will lie,and thank you sir your class is very much helpful you're donating your knowledge here.

@Anas_fazil Год назад

I didn't get you bro

@vaishnavia5585 9 месяцев назад

Thank you so much

@AdityaRaj-cz9og 9 месяцев назад

@@vaishnavia5585vaishnavi. Which year are you preparing for?

@vaishnavia5585 9 месяцев назад

@@AdityaRaj-cz9og For this year

@AdityaRaj-cz9og 9 месяцев назад

@@vaishnavia5585 what is you academic profile?

@abhishekjha2384 2 года назад

sir you are best i am preparing for cat2022 by yours lecture.... Thank you so much .....😊

@rashitiwari6592 2 года назад

We are same dude👍

@deepnayak255 2 года назад

Same here bro! All the Best

@sourabhkumar8853 2 года назад

Today I also started preparation. All the best guys. 👍👍👍👍👍👍👍

@sauhardyarit3124 2 года назад

Hey bro i am also preparing for cat22

@sauhardyarit3124 2 года назад

Plss ping up all

@divyanshuranjan5239 3 года назад

Great 🔥🔥 best course on RU-vid

@akankshadandage4973 Месяц назад

The best playlist for CAT! Hats off sir!

@rupashreenth 2 года назад

You are the best teacher sir. Thanks a lot🙏

@madhupurnade3496 4 года назад

Thank you. Very effective classes.

@jithins7085 4 года назад

Excellent video... Pls never delete i

@sanjayk1286 3 года назад

great video with perfect explanation

@rishiagrahari4212 9 месяцев назад

For all those wondering at 3:10 i think sir wanted to say that from 1 to 10! 3 will have a power of 4(approx) and then from 11 to 20! 3 will have a power of 8(approx) and continuing this pattern 3 will have a power of 20 between 40 and 50! 1-10! 3⁴ 11-20! 3^8 21-30! 3^12 31 to 40! 3^16 41 to 50! 3^20

@tradesandstories5902 5 месяцев назад

11-20! will contain 3^4 only and just like other 21-30!, etc etc, otherwise your value of 3^4 will go total of 60 rather being a total of 20

@namo9340 2 года назад

Thank you sir for such great videos

@adarshsachan7151 4 года назад

Thank you rodha . Please keep it up.

@rahulsarkar1240 3 года назад

Great lecture.

@aindriladey2077 Год назад

making my prep easier thank you sir

@amritraj3946 5 лет назад

Sir, wouldn't 54! Add three 3's? Because it's 9x6. Two 3's in 9 and One in 6?

@Rodha 5 лет назад

Thanks for your replay we will look at it in between you can be part of our QA forum in WhatsApp and pagalguy here are the links chat.whatsapp.com/HQQvw5IWFHz4IwLbS7pojS www.pagalguy.com/discussions/cat-2019-rodha-youtube-channel-daily-quant-lrdi-practice-group-47280044828263/47376730231692

@kannanvenkatraman942 4 года назад

Rodha hi sir, I am unable to join this group as it is full.

@kashishthakur9577 4 года назад

Yes you are correct it will be 3^26 Not 3^25

@sadhamukkashiam6735 4 года назад

Send the new link. This link is revoked

@shubhampriyadarshi5584 4 года назад

i was also thinking the same in 54 factorial

@harshgoel9912 4 года назад

54 factorial contains 26 threes

@medhapatil1372 4 года назад

Thank you sir. Your tutorials are very helpful. All concepts are clearly explained.

@udaykumarravada8820 3 года назад

Sir, for trailing zero concept we are multiplying with 4 because generally the first skipped zero occurs at 24! and even that 1 skipped continously occurs for next 4 multiple of 25, 50 ,100 and at 125 now it becomes 2 skipped zeros and so on. Is this is the reason why we are mutltiplying with 4?

@theoneandonly4479 2 года назад

Sir but, 54 factor is 3 raised to 26, have you taken approximation

@poojakhattar4241 4 года назад

best explaination

@wheat_ish 2 месяца назад

amazing

@dishasingh7482 2 года назад

Thank you, sir.

@vtpai 2 года назад

For which factorial has 95 trailing zeroes , you can also check the power of 5, coz power of 5 gives the idea of trailing zeroes rt?

@ManuSrivastava_ 2 года назад

Thank you so much sir.❤❤

@saikartheek992 4 года назад

54! Contains 26 3's

@piyush4153 3 года назад

Yes bcoz 3 cube 27 multiple is there.. anyway but answer is same..45 to 53

@hitarthshah2939 3 года назад

Yes..exactly

@piyush4153 3 года назад

Yes exactly

@LaxmanDone11 3 года назад

@@piyush4153 I think Ans will be 6value then (in Q1)

@yashsagar173 2 года назад

@@piyush4153 didn't understand this multiple concept when sir explained that it will be a multiple of this but not this....

@cumulusmusic100 9 месяцев назад

Thank you Sir 🙏

@sadasivamsubramoniam5832 2 года назад

Thank you very much sir

@yadukrishnan7383 3 года назад

Thank you

@mehak485 Год назад

Can someone plz explain in ques 3 how did we get to know that we have to consider 54 onwards?

@anishchar4282 Год назад

Thanks sir 🙏🏻

@ashishsirowa5333 Год назад

anyone here preparing for cat 2023???

@kshitijbalonie4361 4 года назад

thankyou

@MaxwellNaradd 10 месяцев назад

Happy Teachers Day Sir!

@kamalkishorebajaj143 3 года назад

Sir Im planning to join your unacademy course. Before joining i just wanted to know whether the live lectures are recorded and saved on my unacademy account? Because Im currently doing a job and it is not possible for me to have 100% attendance. Also if i have certain doubts on particular topic will i get personal assistance or something? And are you from mumbai?

@KrishchinaBasu 3 года назад

Did you?

@gaminguniverse7459 3 года назад

@rodha sir plz explain the Question no 3 in this video guys anyone help me why 95×4 why not other no I need full logic what is reason ??🙏🙏

@sanketkapadi3009 3 года назад

54 contain 3 3's.. 9*6= 3^2 * 3*2

@justinthomas7520 2 года назад

In the 2nd Que, I'm getting answer as 24 values. And 2^25 multiple is from 30! onwards. Please Someone Clarify my doubt. Thank you

@anishchhabra6085 5 месяцев назад

Another way to solve Question 5 (95 trailing 0s), the method is hit and trail, we can 1st check for 500!, then reduce the number to get the final answer, this is how I solved this question.

@yamrajoli3834 3 года назад

sir in 54 factorial there are 3^ 26 3's i get but in tutorial you write 3^25 how??

@Bihari2214 Год назад

Sir according to me there is a one mistake on time 10:50 factorial of 54! Is 3²⁶ am i right sir please reply @rodha

@karthikmadhusoodanan7274 3 года назад

concept on - factorial to higher power !

@siddhiverma6951 3 года назад

consider sir made an error, can it be concluded that n

@ayushiagarwal3558 2 года назад

Sir , in the last question of n! = 62 zeroes. Two trailing zeroes should be skipped when power 3 is added? So 250! should be 5^61. Please comment

@kimjongunvevo 3 месяца назад

Yes

@nehasinghkumari6831 Год назад

Sir factorial of 45 is 3 to the power 22

@ahanks9894 Месяц назад

sir! i have a doubt in the 1st question you solved - it was asked how many values can N take if N! is a multiple of 3 raised to 20 but not 3 *25 , so you considered no.'s btw'n 45! and 54! but 42!, 43!, 44! are also a multiple of 3 raised to 20 right? so the no. of values should be 12.

@rishabkumar8951 3 года назад

Sir aapki video me CAT ki preparation ke baad bhi topics of Jada cover Kar rakha hai ???

@roshnisomani6118 2 года назад

The exception of 4 in the first Question, When we take n = 4, n-1! = 3! = 6 so 6 is not divisible by 4. i.e. n-1! is not divisible by n then how come it is an exception?

@supriyas97 2 года назад

Roshni, Yes it is not divisible by 4 It is an exception because sir has mentioned that only prime numbers can be considered as it will not be divisible. Since 4 is not a prime number but still it is not divisible, it is mentioned there as exception. All other composite numbers are divisible

@keshavrateria4385 Год назад

At 19:32 , can the question be solved by finding the factorial having 5^95?

@AayanamAnirudh 4 месяца назад

what u mentioned is the question, except there is no direct method of finding which factorial has 5^95

@soumendramohanbagchi8207 11 месяцев назад

I am a bit confused in 54! three 3's will be added right? So it should be 26 instead of 25? If anyone knows please clarify. Thanks.

@aniarahman4062 9 месяцев назад

You're right. It is 26. It was mistakenly written 25 instead of 26

@Kripamaurya2.0 Год назад

Sir in first question 54! Contains 3 ke power 26 not 25 because 54 contains 3 ke power 3 i.e.27 contains still your answer is correct

@AKASHKUMAR-li7li 3 года назад

Audio quality needs to be enhanced

@vtpai 2 года назад

Hi, isnt highest power of 3 in 54! 26??

@Rodha 2 года назад

Yeah. By mistake yaar. Videos were Recorded between 2 am & 5 am. U ll find few such stupid mistakes. Nevertheless, , focus on concepts :)

@madhumitharajinikanthan1007 2 года назад

@@Rodha No worries sir. You are doing great. Just please don't delete any uploaded videos and keep adding new stuffs 🥺

@mahimapawansachdev2872 4 года назад

Sir if possible could you please provide some practice questions sheet

@jainamhemanee1125 4 года назад

Have you got it?? I have just started watching videos...So, asking.

@nileshkumarsingh9139 Год назад

How can 54! contain 3^25 ? It comes out to be 3^26. I think sir has done some mistake in question number 2.

@shrutichugh847 4 года назад

Correct the last question

@ayushverma5382 3 года назад

3:42 there are more three in 21! to 30!

@HadesBTC 3 года назад

Its just an estimation,it can me more also less 3 also.

@spkbusinessD-- 2 года назад

shivam kamat (7) 2-8-2021 thank you sir 🙏

@X-Review Год назад

Preparing for CAT 2023 is it sufficient for me and please suggest some books for practice

@ShivamVerma-cp4bk Год назад

❤

@aniketsingh9155 Год назад

A little mistake in the very first question in 54! =3 to power 26 it was not 3 power 25

@comedyspot8938 2 года назад

Where can we get notes

@TKSingh-sn9pd 4 года назад

sir what's your question

@gyayakjain4059 11 месяцев назад

Sir why it take difference +1

@rithikabalakrishnan6076 4 года назад

Sir I can't understand that why we should ×4??

@zzzz6038 3 года назад

Basically it's a trick to solve these type of questions.🙂

@wholeworldishere7924 2 года назад

In 1st question how hiw 50 !come

@khushikhandelwal6811 6 месяцев назад

From where to practice such questions ?

@bhallos_baus Год назад

I have a question.. Please solve anyone.. Is there any solution where N! have 3power20? If so what is N.

@ShubhamKumar-ne2uh 9 месяцев назад

no.

@15_samirparihar6 Год назад

But sir highest power of 3 in 54! is 26 why did you took it as 25 ?

@kartikrai9134 3 года назад

U r a teacher in unacademy right?

@Pranalitalavia 2 года назад

I did not understand a single question. can anyone help of how he divided the factorials in co prime numbers?

@Rodha 2 года назад

See again :)

@supriyas97 2 года назад

check part 1 of this chapter

@amantiwari1916 3 года назад

14:30 in 28! = 2^24 not 25

@manuputtaplur5330 4 года назад

54! =3^26 sir!!

@amantiwari1916 3 года назад

Exactly!!

@blwndr22 6 месяцев назад

8:58 isn't 54! factorial has 3^26?

@charukataria3156 3 года назад

Find the least number n such that no factorial has n trailing zeroes, or n + 1 trailing zeroes or n + 2 trailing zeroes. pls help......................

@arpanapatel7925 2 года назад

N will be 153 ..just watch previous video for that..u will get it

@kishenguha7261 4 года назад

Hi sir, i have doubt that in the Q2 at the final why is that 1 is added to the difference of the two?

@vamshicatprep9441 4 года назад

Bro see here how many numbers are there from 1 to 10. We know it is 10 but it can be obtained by (10 - 1) +1. So number of numbers from i to j is (j - i) + 1

@kishenguha7261 4 года назад

@@vamshicatprep9441 thank you so much bro

@mallutechygirl 4 года назад

Else u can do 54!-28!=26 no need to add 1 here 1 number will not be included and we don't need 54! So answer will be rit

@sourabhranjan5295 3 года назад

@@kishenguha7261 bro at 9:50 why sir had taken 25 to check the 2 factorial as 2 isn't divisible by 25?

@1981soni 4 года назад

Please clarify the concept why multiply by 4

@ruchipandey877 4 года назад

To check the trailing zeroes we multiply by 4

@siddhanthvinod3931 3 года назад

@@ruchipandey877 why is it multiplied only with 4 why not 3 or any other number

@sjsthomasnick3002 3 года назад

@@siddhanthvinod3931 There's a proof for why we are multiplying by 4, which if needed sir told he will explain it in a separate video.

@rajasahebroy5454 9 месяцев назад

54! is 3^26 , how is it coming 3^25?

@sairajeshdonkana9410 4 года назад

Watch in 1.5x the video is slow

@amisharawat3566 3 года назад

Sir why you did 8+1 in first question???

@prakashdesai4126 3 года назад

Because we have to consider all the factorials from 45 to 53. So when we take difference 45 will get excluded so we have to add 1. (If you are confused just count like 45,46,47,48,49,50,51,52,53 == 9)

@preacher00000 2 года назад

18:27 trick

@amaansayeed6614 3 года назад

11:00 Sir why did u add 1 here?

@ayushbhargava1062 3 года назад

9 VALUE ARE THERE 45,46,47,48,49,50,51,52,53 We need to count from 45 to 53 So 53-45=8 plus 1 (that is 53)

@preacher00000 2 года назад

11:09

@Gautam_OG 2 года назад

11:00 17:00 20:00 23:00

@fAiz-zo9od 3 года назад

sir why we didn't take 41 in first question I didn't get that

@amantiwari1916 3 года назад

Becz we have to find factorial which has 3 is to power 20 ..but in factorial 41 the no. Of 3 is 18 ....

@mayank2029 5 месяцев назад

sir galat maal fukrei ho app 54! mai 3 ki power 25 kaise hogyi ? Please elaborate

@bhavyaaggarwal8558 Год назад

21:33 you made a mistake in finding no.of 5 in last there should be 4 not 1

@shromona5 4 года назад

Sir, 54! is adding three 3s, resulting to 3^26 for 54!

@abhishekbharti704 4 года назад

you are right it is 3*3*3*2

@shobhitraj9641 4 года назад

But it wont change the answer I guess

@abhishekbharti704 4 года назад

@@shobhitraj9641 it is changing the answer thats why i have written this comment...if you have a solution to my doubt do clarify here or send a solution with proper explanation at my email id : abhishek.bharti704@gmail.com Your help will be highly appreciated friend !

@AnadiSankritya 4 года назад

@@abhishekbharti704 bro it's not changing the answer as 3^26 is also a multiple of 3^25, so we need to stop the counting at 53! anyway.

@abhishekbharti704 4 года назад

@@AnadiSankritya please send a detailed solution in this comment thread or to my email id: abhishek.bharti704@gmail.com ...Its highly confusing what you are saying...

@yamrajoli3834 3 года назад

at 9:41

@crushthebrain Год назад

Sir can I score well in cat 2023 through these lectures

@mrinalb3972 Год назад

@Thedemonofhonesty Год назад

first sum samaj ni aaya

@harsh_raj5708 14 дней назад

SIR IN A Q3 481 BHI TOH HO SAKTA HAI

@ruchi_034 4 года назад

Sir 28! Has 2*24 not 2*25 ..its 30! Onwards Which has 2*25

@anilbhai1652 4 года назад

You are doing something wrong, till 26! You have 23 times 2 right. If you multiply it with 27 means 27! Which is not contain any two or 27 is not a factor of 2, So no mean to do this, next we go for 28! But if closely look into this 28 = 2x 2x 7, means now you have two times 2. Hence you have 23 times for the 26!, And after 28! You just got two more 2, than number of 2 becomes 23+2 = 25.

@ruchi_034 4 года назад

@@anilbhai1652 okh thnxc

@anuragchaturvedi9102 4 года назад

Dear sir how can we solve highest power of 9 in 99 !?

@lavanya4430 4 года назад

3^2=9 Highest power of 3 in 99 is 48 48÷2=24 The highest power of 9 in 99 is (9)^24 I.e.., (3^2)^24

@bhargavhazarika734 4 года назад

@@lavanya4430 i think its 3^22?

@nikitaprajapati7628 4 года назад

Yah it's 24

@anantvajpeyi2774 3 года назад

Yes it is 24

@kamalkishorebajaj143 3 года назад

Just find power of 3 in 99! and divide the answer by 2. Since 9 is 3*3.

@charukataria3156 3 года назад

What is the highest power of 12 that divides 54!? pls help........

@shivangi1523 2 года назад

12=2^2×3 54! = 2^50 (highest power of 2 in 54!) 54! = 3^26 (highest power of 3 in 54! ) So, the highest power is always decided with less power (i.e 3^26) Hence, highest power of 12 in 54! Factorial is 12^26. Hope this helps :)! Edit - if you're not satisfied plz ask someone else again cuz on google the ans is different!

@charukataria3156 2 года назад

@@shivangi1523 actually on google the answer is correct

@charukataria3156 2 года назад

In this we divide 50 because 12 is divisible by 2×2×3 so there are two times 2. So the power of 2 is 25 and power of 3 is 26 we always consider lower ones Hence the answer is 3^25

@shivangi1523 2 года назад

@@charukataria3156 ok thanks, but we need to find highest power of 12 here, so it would be 12^25 . BTW thanks I'll look into it 🙂 Also it's 54! Not 50! The reason power of 25 is confusing me.

@charukataria3156 2 года назад

@@shivangi1523 bro 54! = 2^50 (highest power of 2 in 54) this 50 is divided by 2 because 2 is having 2 power And the answer would be 12^25....

@shreyakapoor7698 4 года назад

Sir Kindly share the whatsapp group link

@flipthescript-surojitdas7529 3 года назад

Which whatsapp group?

@kalammalik8998 5 лет назад

sir why 95 multiply by 4 . pls tell me

@amirraza2645 4 года назад

because it gives the approximate factorial value....

@siddhanthvinod3931 3 года назад

@@amirraza2645 but why specifically multiplied with 4 why not any other number

@sonacollegeofartsandscienc9247 3 года назад

@@siddhanthvinod3931 see first of all when 5 comes a zero occurs. So 95 ×2 gives u 190. Where 190 has only 46 tr.zeroes. then multiply with 4. Then 380 which has approx of 94 tr zeroes. Since the hishest power value of 5 is equal to the tr zeroes. So he is making the factor to get 95 tr zeroes.