Averages 1 | CAT Exam Preparation 2024 | Arithmetic | Quantitative Aptitude

[@kishankumarkeshri9234]

00:04 Averages is an important topic in examinations and involves concepts of finding average of given numbers 03:11 The average of a series in an arithmetic progression (AP) is always the middle term. 06:07 Average of even number of terms 08:18 The average of an arithmetic progression (AP) can be calculated using the middle term of the series. 10:42 Finding the product of the 2nd and 5th terms of a given series. 12:59 The average of a series is the middle term when the number of terms is even and not part of the series. 15:27 The average of 143 consecutive odd integers is T-72. 17:53 The average of the series is 72. 20:10 Average of large integers with given terms and last term. 22:21 The average in an arithmetic progression (AP) is calculated by adding the first and last terms and dividing by 2. Crafted by Merlin AI.

[@Theo09854]

thank you, you are really doing amazing work. people who cant afford coaching can learn from you, its an example of humanity. may the force be with you!

[@YashVashist-gt1ed]

preparing foe cat too?

[@yes3635]

Did you recently started preparing for cat?? Is it possible to crack cat from Starting from scratch??

[@vinaygupta609]

@@yes3635 any thing is possible bro even i started 2 weeks ago

[@yes3635]

@@vinaygupta609 we're in same boat⛵

[@vinaygupta609]

@@yes3635 how much you have prepared

[@deveshyadav9451]

Best playlist on the internet if you want to understand aptitude conceptually. Thank you sir.🙏

[@sanjayk1286]

the patience for you to teach average........very great sir.....i wish i could work hard as you

[@bhooooklagi]

Another approach to AVG of 143 terms questions. .....P-4, p-2 , p , p+2 ,p +4.... 143/2=72.5 therefore 71 terms on either side. We find P71 taking P as first term P71 = P + 70*2= P+140 Similarly for last 67 terms ... N-4, n-2, n,n+2,n+4... 67/2 = 33.5 therefore 33 terms on either side n33= n+32*2 = n+64 Since both are last terms they are equal P+140=n+64 P= n-76

[@jatinsingh-qm1te]

nice method. Accuracy increases by this method

[@saisriponnuru9830]

Great way 👌👌

[@garlapatisaibhargavreddy4834]

Y ur multiplying with 2 sister

[@shivanijaiswal5712]

It is odd integer so it should be -/+1.... like that..??

[@AviatorBro]

143/2 = 71.5

[@rupashreenth]

Thank you so much sir. You are the best educator. You explain in such a way that anybody can understand the toughest topics. The way you have been giving us all the CAT related content & that too free of cost is just truly commendable. We will be forever grateful for your hard work sir. May God fulfill all your wishes 🙏

[@bhoomikamohan933]

Ravi Sir, if I make it this year I owe everything to you. Every bit of happiness, all that will ever come to me, shall belong to you first in all honesty. I might not be able to directly pay you back for the greatest part you’re playing in my journey; unaware and carefree of it, but sir I promise to you that I will follow your legacy forever. I promise to guide, help, teach and mentor anyone and everyone that might need my help in their journeys. I shall be a true Rodha student Ravi sir. Thankyou for every sigh of breathe you’ve taken to educate the world. Thankyou for making the world brighter and happier. 🌻

[@rishabhyadav8119]

OH wow!

[@surajsingh-ji5cw]

hey! its been 6 month i hope you have made it. i just want to know that is this whole series enough to prepare for quants? i will be gratefull if you reply.

[@mahimasinghal6983]

Did you clear cat with the help of these quantitative aptitude videos?

[@eventuallybored]

@@mahimasinghal6983This video has 99K views, do you think all 99K aspirants who watched these video got a seat in a Top B school ??? No but maybe a few of them got in, These videos are meant to clear your concepts and it's not different from what they teach you in paid coaching, there they charge you to make you understand these concepts and here you're getting it for free but neither of them guarantee you a seat in IIM so take advantage of these free lectures rest all is your hardwork

[@shashankshekhar5777]

@@eventuallybored correct

[@YusufMohiuddin_BAI_]

when t67 to t143 terms are 77 (143-67+1 = 77) then it should be 39 from back t110 to t72. why is it 38 at 21:38?

[@yuktatayi4801]

Have the same doubt. Can someone clarify regarding this?

[@bharatsharma3083]

when t67 to t143 terms are 77 (143-67+1 = 77) then it should be 39 from back t110 to t72. why is it 38 at 21:38?

[@anushkadalotra]

exactly same doubt

[@pavan_kumar_ch]

yes same doubt please reply sir

[@dishakabra16]

Exactly Same doubt

[@BaatonBaatonMein1]

Sir reply kero plzz ..doubts to clear kero

[@ankitagarwal4206]

at 11:35 he literally took less than 5 secs to solve it. insane speed 🔥🔥🔥

[@ArunKumarmauryaji]

HE uses a shortcut

[@meghasaha4279]

6:25 You said, when the terms are even, the average is not a part of series. So If I do average of 2, 4, 6, 8, 10 so the average is 6. Which is a part of series. Could anyone please explain this?

[@zoyakhan6557]

Because the no. of observation u're taking is odd.... If u take 2,4,6,8,10,12 then avg. is 7....which is not part of the series....

[@meghasaha4279]

@zoyakhan6557 Thanks Zoya. Got it.

[@36_parthshrimali84]

Last question is wrong, the A.P should be 1,3,5,7...,167 In question given is series and not sequence...

[@namansinghal8992]

I think I have an easier solution or alternative to the last question : t1+t143/2 = t72 = p Assume the last 67 terms as another AP (as sir said) now, t1+t67/2 = t34 = n Now, t143-t67 = t76 therefore, t76 + t34 = t110 = n I guessed this by myself because I found difference by 1 method tiresome to always remember

[@Enfant_Terrible_]

❤

[@josephrajanaind3328]

I salute your hardwork....sir.....keep doing

[@manditbanthia7057]

Where are you preparing for CAT?

[@MONIRULISLAM-wr9zt]

Starting to fall in love with quant for the 1st time in life after watching your videos. Just few weeks before I was the person who had this Quant Phobia. Basically I am weak in all the 3 sections, Quant, LRDI and Verbal too but mostly quant and LRDI section. But started to gain confidence now in Quant, Starting DI-LR soon. Hope I shall start liking and get confidence in that too. Thanks a lot @Ravi Sir for the amazing content that you made free for students like me who want coaching but currently can't afford it. Thanks a lot once again 🙏🙏🙏

[@interstingfacts1]

For which cat are u preparing?

[@Patel__Rudra1]

Can you share your experience of CAT preparation from rodha ?

[@bitanroy4602]

should i contnue with the videos sequentially or should i complete percentages first and then continue with averages

[@Lifeisagreat-l3g]

anyone can give exam easily and get IIM THANKS SIR ❤️👍

[@vineetsharma6514]

Am I the only one who finds the intro music too loud and irritating with earphones on ?

[@mukuleditzs]

Yes bro, intro irritates me like hell….

[@Krishna-vk8iy]

Shut up your dp is cute

[@bill_clinton_853]

Beggars can’t be choosers. When he gives free videos, just take it.

[@Sunatsky]

Seh lenge thoda ❤

[@sakinameman5554]

@@bill_clinton_853💯

[@rohinitighare2348]

in last 2 nd question , in which we got answer ( n-76) , why we subtract by minus 2 why not minus 1.

[@nimeshpatel807]

Because it is odd integers , and the difference between odd no is 2

[@ojasrazdan1982]

21:57 if we take avg for 76 terms and add avg for 67 term we should get P right?

[@tapashyajain5641]

sir i have a doubt. in 3rd question t76 you took it as t77 but then when you subtracted t110 and t72 it would be t38+1 i.e t39

[@Sprxhh]

same doubt

[@AmitThakur-eg8kb]

Sir, from t72 to t110 there are 39 terms, not 38 terms as you said , difference + 1 so 110 - 72 = 38 , so 38+1 = 39 and 39 *2 = 78 therefor p = n-78 should be the answer I think, please correct me If I am wrong.

[@msaisubbarajuvarma5406]

Bro 39 = total no. of terms , but not the u only have to go 38 terms back to get t72. Ex: from 1 to 10 there are a total of 10 terms , but when u want to go back to T1 u have to subtract (10-1)9 terms only ( only then 10-9 = T1 ) ( but u will not subtract 10 no. of terms that gives 10-10=0) .

[@36_parthshrimali84]

@@msaisubbarajuvarma5406 great 🔥❤️

[@pragatisaxena9317]

I think u r correct

[@pavan_kumar_ch]

@@msaisubbarajuvarma5406 great your bro clear explanation you save my time

[@samkitgandhi2084]

Hello Sir, I am really very thankful for all the learning resources you have provided. It really helped me a lot in uplifting my preparation to another level. Thanks a lot again Sir!!

[@rishi8246]

Brother I have created a group for cat aspirants on wp, my number is given in the about section of my channel...text me if you want to be added.

[@Banking_Preperation]

Hey, r u preparing for CAT?

[@Patel__Rudra1]

Can you share your experience of CAT preparation from rodha?

[@sameerdhingra3086]

In the last question 1. Series will be a, a+2 , a + 4 .......... a + 284 P = a +(a+284) / 2 = 2a + 284 /2 P = a + 142 ( Equation 1 ) 2. 2nd series will be a + 152 , a + 154 ,......... a + 284 n =( a+152) + (a + 284) / 2 n = a + 218 ( Equation 2 ) a = n- 218 ( Equation 3 ) Put Equation 3 in Equation 1 P = n - 218 + 142 P = n - 76 Ans

[@adityapal2207]

As there are odd integers danger difference must be of one digit not to decide and four thirty eight digit difference

[@stutiverma3196]

Sir what about percentage more video?

[@ElectroFrntic]

Thats what you can expect from free classes😆😆

[@ElectroFrntic]

@Sim Sidhanti from arun sharma books

[@Rahulbajaj561]

Here: kzbin.info/www/bejne/mJrKdJWBmrqDhZY

[@urmilagarg9948]

15:49

[@aswathyr755]

In the question... Avg of 7 consecutive even intergers is 36.... Why didn't we take a only as the first integer instead of a+2... As a is also an even number

[@preranarai]

These videos are so helpful, thank you so much ❤️

[@PAPI_VASI_Spotter]

Sir!, How you senses that even consecutive integers will always have a gap of 2 it can also be in gap of 4,8, 12 and so??

[@rishi8246]

Bro consecutive means - ek ke bad ek

[@Swarnimshow]

thank you sir gonna watch all the playlist and score good marks in cat lets go

[@anjalikapoor4123]

Thank You so much sir for all the hardwork! You make every concept crystal clear. #dontgiveup

[@YashVashist-gt1ed]

cat?

[@kaliprasad_1069]

sir plse upload more videos of percentage

[@NarutoUzumaki-wm7sj]

How did we get that super hard second-last question (for a beginner) but the last question was a total freebie... lmao

[@YuvrajSingh-sy6mj]

Sir, why u have only completed age related questions of average there are ratio, speed time based question also?

[@Trading_Content]

Sir i am get confused P=t72 . T76+T143=109.5 so avg is t109 & t110= n And if n is not a part of A.P how we calculate? n-2,n-4...

[@adityakeshari7648]

it will start from t77, (difference +1 )....i.e.(t143 - t67 + 1) = t77

[@-HASHI..KI..JWALA-]

Sir practice question kaha mile gai

[@sameera1057]

Thank you sir,the video was really helpful

[@ridhakm2952]

Thank you sir,These classes helps a lot!❤

[@Saisomeone]

bro calculated 32*38 in like 1sec 🤐🤐

[@shiny5336]

thank you sir for explaining !!

[@shubh4293]

Are all the videos are in correct order because after percentage 3 average has come and percentage 4 is after some videos

[@atiksheikh1469]

Where can I get this type of questions for practice.

[@KhushisinghwithReyanshsingh]

Sir I couldn't understand this that if the there are consecutive odd integers then how come their average is even a even number ...hoping for your reply sir

[@supriyas97]

Odd+odd=even

[@ganeshnaik6503]

How did he just solve 32*38 without writing down anything? How do I get that good?

[@aakashdinkar8096]

It's 2*8 =16 and 3*(3+1)=12 => 1216 Same way u can do for 31*39=1209 42*48=2016

[@AmanKumar-js6bx]

@@aakashdinkar8096 sum of unit digit of both is 10. whenever u observe no. like this. (i) find avg i.e. (32+38)/2=35 (ii) Now, (35-3)*(35+2)=35*35-3*3 done

[@AmanKumar-js6bx]

watch speed math lectures to get a better understanding

[@arjunpratap1700]

use vedic maths

[@antaraghanti6908]

@@aakashdinkar8096 59*47?

[@Pranav-kg2fx]

can anyone explain what's the difference between term & an odd Integer if 143 consecutive odd interger is 1,3,5,7,9........................143 and T1 = 1, T2 = 3 , T3 = 9 then average of last 67 term should be T6 = 11

[@sparshmundhada9440]

If you are assuming the first term of AP as 1 and since the common difference is 2 your last term cannot be 143 it must be 285. So the value of your 143th term would be 285. 143 is the position and 285 is the value. This is the difference. Hope it helps ❤

[@nidhigupta7606]

Hi ,How we can get complete course ??

[@sudeepreddy3093]

likewise when am counting backwards shouldn't it be 38+1=39 terms like from 110 to 72

[@hamSo47]

Those aren't the number of terms, those are the no. of terms you are going back.

[@user-lo3xi9xq9v]

In 14:03 the series can also be a 27,30,33 na sir ?

[@abhayshukla099]

Bcz of consecutive odd integers (gap should be of 2)

[@PrinceYadav-ek5hp]

Thank you so much rodha classes ❤❤❤

[@Someone-yg9bx]

Bhai cat 23 de rhe ho?

[@saiaravindm.2459]

Completed Done🎉

[@executorgamer9987]

What does it mean to find 'P' in terms of 'n'? I don't seem to get this. May be as a result, i don't understand why P= n-76 i.e., what is even being gained after finding this expression?

[@akaannshaa]

Did you understand the question now ? If yes then please tell me

[@tanyagarg1897]

thankyou so much sir for your hardwork

[@kiran-bj4ji]

in last question, why he considered diff as 2??

[@arsalanrafi5747]

i think bcoz consecutive odd numbers are given in ques

[@ankitthakur8279]

P= N-76 OR P=N +76 is the answer? I got P= N +76 as the answer... please correct me if I am wrong...

[@pritishjoshi2144]

Bro mera bhi n+76 h

[@kumarishubhi6601]

What is the the meaning of the last part of the question in 2nd last question i.e., finding P in terms of 'n'?

[@Hooodie123]

it means u have to find P from N

[@snehaagarwal734]

your voice is not audible clearly but apart from that the content you provide is very useful.

[@tushar47]

Sir I have doubt if we take 24,28,32,36,40,44,48 product of 2nd and 5th is 1120 also BTW it also depends on given options also...

[@aagamshah1858]

yes exactly, why you considered the difference as two ?

[@abhayshukla099]

Consecutive even integers that's y..

[@shinchanfactcards2442]

Sir from where i can found questions on this topic

[@oneday.atatime]

Thank you Sir 🙏

[@VINAYAKPANCHAL-kx8jt]

Thank you so much sir❤

[@breezeblitz]

Can someone tell me what is even and ord

[@progatidas3291]

Sir 38*-2= -76 Then it will be n-(-76) I.e., p=n+76

[@AshokKumar-lv3hn]

First how can P be more than n if these are 143 consecutive odd integer?? Second n is nothing but 110th term of the sequence and we are required to find 72th term thats y we are subtracting 76 from 110th term i.e. n to get the 72th term.

[@madhuribeniwal1060]

How can he find that the difference between the no's is 2 in last question

[@songoku-jx3cb]

But sir is it always the case that a series with even number has avg which is not part of the series . Because if we take 2,4,6,8,10 . The avg is 6 which is indeed part of the series .

[@ananya7687]

Hyy by the even numbers he meant the number of numbers not the individual number is even or not

[@songoku-jx3cb]

@@ananya7687 but avg of 2,4,6,8,10 is 6 and it is part of the series .

[@ananya7687]

@@songoku-jx3cb yaa it is the part of series because the number of numbers is odd (5)

[@ananya7687]

I will give you an another example find the average of 2,4,6,8,10,12 here the number of series is (6) and it is an even number so the average won't be the part of series ... The answer is 7

[@songoku-jx3cb]

@@ananya7687 ok, thanks a lot . I finally understood it .

[@loopimpact]

Good concept sir

[@RashiYadav-c2l]

can anyone tell me how did we assume that the difference between each term is 2 in the t143 question? im confused.

[@divyajain6183]

It's given in the question that the series is of consecutive odd integers (like -3,5,7,9) here the difference is of two between them so in that series it will also 2

[@bubu.chuche]

in the last question we can also use as 143-77=66 and 66 divided by 2=33 and then again adding 77+33 will give us our middle term of 77 and 143 which is 110 (ps: ik its long but works but again its not any formula i just used lil bit of dimag and if there is any formula out there idk)

[@dineshmisra5563]

Sir, Sorry! but i don't understand how the difference between 10 to 20 is =11? it should be 10 only. hello People, you can also answer if you want.

[@makeyourlifeeasy9619]

10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20 these are 11 terms now, so we have to start from 11 on wards not 10

[@shibani2903]

But where is Averages 3 class????

[@pragatisaxena9317]

If we subtract n-76 then answer will be 34 will come but p is =72 can anybody explain?

[@aparajitakashyap444]

t110 is the no. of term and not the term itself so you cannot directly subtract it from 76

[@baluedits1906]

T143+77=120 143+77/2=60

[@nikhilpant6428]

Sir , How can you write t1+t143 = t144 ? Explain please !

[@raghavkumar670]

Bro when we take need to find average and series is in AP we take first and last term and divide it by 2.

[@shubhamwaghmare262]

Sir you said avg of odd no is always part of series but in case of 12consevutive odd no's 30 is not part of the series also t6 and t7 can be 27 and 33 also whose avg is also 30

[@Amankumar-gy1ts]

If no. Of terms are even then avg may not be part of series here no. Of term is 12

[@sidhantpatra1652]

He did not say avg of odd no is part of series, instead he said average of odd number of terms is a part of series In the question no of terms is even so, it's not a part of the series

[@manshigupta6529]

Sir, what if there is more than two figures? 1. Chetan purchased two dozen mangoes of one variety@₹6, 4 dozens of @₹7, 1 dozens mangoes @₹9 per dozens respectively. What will be the average cost per dozen of mangoes purchased by Chetan?

[@keshavbhardwaj3962]

cost of 2 dozen = 6x2=12rs cost of 4 dozen = 4x7=28rs cost of 1 dozen = 1x9=9rs so, 7 dozen mangos = 49 then, avg. cost per dozen mango is 49/7=7rs

[@NiharKunder]

AP = Arithmetic progession

[@prasanthwalls2218]

Your the doing really great sir

[@dip_08]

Amazing question

[@akashtredia1048]

Plss answer anyone. I want to do more questions like this where I get type of question

[@PrasunKumar-om6pd]

cant we take the difference of 4 the middle term question. Why does it have to be 2 only.

[@prateekmaithil]

because they are odd integers

[@ashishhchopraa694]

ek question ni aya samajh i having a DOUBT ON THAT HOW COULD I clear my doubt sir reply immediately.... thank u

[@Rodha]

telegram group, facebook group.

[@tumjeetogeofficial]

I love you so much dear beloved sir,... Your videos are Like sanjeevni to me .🙏 One request sir I'm unable to find out the Videos on Blood relation sir, if they are plse help sir .. I will be highly thankful to you

[@Rodha]

I ll record & upload

[@GAURAVKUMAR-jh4oq]

Thank u so much sir, love u❤

[@vishalshah333]

Sir Could you share the telegram link

[@monishkumarchaluvadi1978]

Any one can provide questions for practice

[@himaniarora4539]

I can’t find the 4th video for percentage. Pls help

[@progatidas3291]

I don't think there is a fourth video for percentage

[@sanketbhattad4926]

they haven't uploaded it yet i think

[@khalihussain995]

Yea I too feel the same I guess they have deleted it

[@vinaygupta609]

search amit surana cat he completed all topic of percentages

[@Rahulbajaj561]

He has actually uploaded it, It's just that he forgot to add some videos in the playlist, Search it manually in the youtube search bar. kzbin.info/www/bejne/mJrKdJWBmrqDhZY (Ik this might not be relevant to you after a year, I've commented for other viewers who'll be watching this video in the future)

[@aakashchauhan8036]

Grt explanation sir❣️💥🌟

[@meetMeetsWorld]

Odd number Wale no. Ka half kyse nikalte h samjh nahi aa raha - like 93 , 793 , 435 ,

[@subhajitchowdhury4625]

Divide by 2

[@arunitajha7065]

Is calculator is allowed in CAT ?

[@swatibisht4572]

Yes

[@ArambhHaiPrachand99]

@@swatibisht4572

[@ShreyashPatil1811]

Thank you for Everything sir❤️

[@kishori3683]

Sir plzz upload the fourth or another video of percentage. I stuck while solving questions.

[@divyanshupatel2326]

Can some1 explain y it’s t110 n not t109

[@atharvkulkarni2256]

sir how did you do 32*38 mentally?

[@subhashinijanakiraman1018]

35*35-3*3

[@supriyas97]

@@subhashinijanakiraman1018 check speed maths video in playlist

[@Gautam_OG]

22:00

[@_cat_aspirant_99.9percentile]

Thank you guruji ❤

[@ManishChaudhary-t3r]

why are we assuming a gap of 2 in all questions?

[@AASAM777]

Consecutive numbers

[@ManishChaudhary-t3r]

@@AASAM777 Ooh ok thank you so much, bro.

[@ArambhHaiPrachand99]

@@ManishChaudhary-t3r 😉😊😇

[@amananshuman4558]

u r awesome god bless u sir

[@lakshmi8906]

Can anybody explain how he calculated 32*38 so fast?

[@harsh_karwa]

Watch his Speed Math episode 5

[@pritishjoshi2144]

32(40-2)

[@piyushsoni2642]

Sir calculator are allowed in cat exam

[@foodiecuisine]

On screen calculator not physical calculator

[@shreyaagrawal6567]

You didn't give any formulas of AVERAGES before starting any questions... Without formula it is not easy to solve

[@Rodha]

There is no formula. Just sum/total number of quantities

[@tanayamohite2758]

hello sir how can we contact u ??