Inequalities 4 | CAT Preparation 2024 | Algebra | Quantitative Aptitude

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  • Опубліковано 11 кві 2019
  • Advance Algebra by Ravi Prakash | Quantitative Aptitude for CAT 2024
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КОМЕНТАРІ • 110

  • @raviprakash6021
    @raviprakash6021 5 років тому +294

    ERRATA : ------ Hi all, at 13:05 kindly cancel that "2001" on RHS with full LHS .. So answer would be "1" instead of "2"

    • @techacumen1677
      @techacumen1677 4 роки тому

      Rodha.in is not working nor the app of rodha!..

    • @voice4192
      @voice4192 4 роки тому

      Thnxx sir

    • @ananthua321
      @ananthua321 3 роки тому

      Thank you sir

    • @aadityasinha
      @aadityasinha 3 роки тому +1

      Thank you sir that's all I'm thinking

    • @janmejaypanda5414
      @janmejaypanda5414 2 роки тому +1

      sir that i understood but how 1/1001+1/1002+1/1003........+1/3001 is > than 1. because the above in above statement thesign greater than is facing opposite side

  • @devanshurathoria142
    @devanshurathoria142 10 місяців тому +3

    Sir thank you for explaining such an hard topic in an easy way i was struggling with inequalities for long time but once i watched all your video on algebra in the end i was completely a different person and i had to say you are master of maths teaching

  • @shivanshimathur9146
    @shivanshimathur9146 Рік тому +4

    Can never thank you enough for all the efforts that you put in for us sir. If possible sir please upload the trigonometry videos again they are much needed!

  • @ayushagrawal5691
    @ayushagrawal5691 3 роки тому +1

    Your video is very useful. The way you explain the concept of inequalities is good. Thanks

  • @dikshabansal9837
    @dikshabansal9837 3 роки тому +1

    Great videos sir! Really appreciate what you are doing.

  • @binnapaul2126
    @binnapaul2126 2 роки тому +43

    Sir, AM-GM-HM concept makes solving questions so much faster. Thank you. Also a humble request, please do upload trignometry videos again

    • @unconventionalgurl
      @unconventionalgurl 2 роки тому

      Where are trigo videos 🥲🥲🥲!!!

    • @shubhanshisinghms7745
      @shubhanshisinghms7745 2 роки тому

      @@unconventionalgurl Did you find it?

    • @chirayuchaplot7161
      @chirayuchaplot7161 2 роки тому +1

      @@shubhanshisinghms7745 no videos for Trigno ...you can refer to some other material

    • @sarthakagarwal8532
      @sarthakagarwal8532 Рік тому

      @@chirayuchaplot7161 yess

    • @lokeshagarwal2449
      @lokeshagarwal2449 Місяць тому

      Hey I'm a little confused with HM and Gm, I mean for example at 5.30 and at 16.00 why did he choose GM and not HM cause they were reciprocating terms right ? could you pls help me. Thank You in advance.

  • @AmanJainBCP-
    @AmanJainBCP- 3 роки тому +1

    That was really helpful..thank you.

  • @deevakela3534
    @deevakela3534 4 роки тому

    Thanks! Helped a lot.

  • @yashasharma9963
    @yashasharma9963 3 роки тому +2

    Really helpful session, Sir.

  • @Shivam_General_Fitness
    @Shivam_General_Fitness Рік тому +1

    Thanku sir

  • @user-te7po7ng9n
    @user-te7po7ng9n 11 місяців тому +5

    At 13:05, sir you made a mistake as in LHS 1001+3001/2 = 2001 which gets cancelled by 2001 in RHS and gives 1 not 2,,,,, although your answer is right:)

  • @Tuuuuusssjjjjjjnrnfnnfnfn
    @Tuuuuusssjjjjjjnrnfnnfnfn Рік тому +1

    super concepts sir!!!

  • @saikatmandal8610
    @saikatmandal8610 4 роки тому +1

    Great video.

  • @cumulusmusic100
    @cumulusmusic100 11 місяців тому +1

    Thank you Sir🙏

  • @anujjain9499
    @anujjain9499 2 роки тому +1

    superrrr video sarr..lob u

  • @tonymartial1211
    @tonymartial1211 2 роки тому +8

    the questions and the thought process involved are pure class! And you sir, you are classic!!

  • @PoojaSharma-yr3vu
    @PoojaSharma-yr3vu 2 роки тому +1

    Thank You !!!!

  • @muhammedfasil9036
    @muhammedfasil9036 3 роки тому +1

    Thanks 👍

  • @tanmaydey3008
    @tanmaydey3008 2 роки тому +1

    Thank You Sir

  • @AnshuKumaryadavB
    @AnshuKumaryadavB Рік тому +1

    Thank u sir ❤️

  • @janvar796
    @janvar796 10 місяців тому +2

    thers a small error in14:00 ,actually the values will be greater than 1 itself not 2, 4002/2 function is not performed in the method

  • @GokulJS-vb2rd
    @GokulJS-vb2rd Рік тому +2

    So , i have a doubt . @16:27 we found the minimum value of the equation divided by x+4 as 25. o will the minimum value be same when we use the formula 4ac -b2/4a to find the minimum value and substitute x =-b/2a in the equation x+4

  • @BCFSreehariRaman
    @BCFSreehariRaman Рік тому +1

    Sir, how are we selecting the comparison.... ie whether to compare AM with GM or HM.......
    In 15:53 , on what basis are we comparing AM with GM

  • @user-te7po7ng9n
    @user-te7po7ng9n 11 місяців тому +2

    Sir have you added trignometry series??? Becoz i'm unable to find it in the playlist......

  • @harshchauhan7346
    @harshchauhan7346 3 роки тому +4

    Please upload basics of trigonometry videos sir

  • @avilashbardhan2949
    @avilashbardhan2949 3 роки тому

    what s means by when numbers r equal, AM >GM

  • @vishwajeetbarnwal8880
    @vishwajeetbarnwal8880 Рік тому +1

    I Think Modulus is missing in the inequalities topic

  • @yashrajdixit9812
    @yashrajdixit9812 11 місяців тому

    I don't get the thing that how we can take 25.5^50 as (50+1)/2 and 50! as (1x2x3___x50) ^(1/50) can you please explain sir?

  • @ArjunSingh-id8jn
    @ArjunSingh-id8jn Місяць тому +1

    16:33 cant we use x+1/x in (k+13+36/x))min
    ????

  • @sandhyahirwani229
    @sandhyahirwani229 2 роки тому

    Sir please upload basics of trigonometry videos

  • @lokeshagarwal2449
    @lokeshagarwal2449 Місяць тому

    at 5:11 shouldn't it be AM and HM? I mean there is addition and reciprocal right ? can anyone pls explain why GM and not HM ?

  • @restyletime4918
    @restyletime4918 6 місяців тому

    sir please upload trigonometry videos again sir , you are our god

  • @sudhanshushekhar4710
    @sudhanshushekhar4710 11 місяців тому

    Where is modulus in this playlist????

  • @garimasahu193
    @garimasahu193 Рік тому

    Sir videos are very helpful. I am preparing through your videos only. Just need questions for practice please suggest source for material.
    Thank you❤️

    • @bhavanrana1123
      @bhavanrana1123 Рік тому

      One telegram you can find alot of free material for practice

  • @hariharangc7788
    @hariharangc7788 4 місяці тому

    16:24
    sir , instead of taking (k + 36/k) if we take (k + 1/k) and (1/35k) separately then we would get its value as 2 only .. assuming k is a very large number ( 2 + 0.000000... ) = 2
    then final answer woud have been 13+2 =15 only

    • @prateekbirthal9649
      @prateekbirthal9649 2 місяці тому

      if k is a very large number, then k+1/k won't be equal to 2. It is only equal to 1 when k=1. You can't take two different values of k.

  • @tanvinimbalkar6977
    @tanvinimbalkar6977 9 місяців тому

    Y can't we take k+1/k =2 and then add 36 bcoz x+1/x is 2 right?

  • @sandhiyaj7354
    @sandhiyaj7354 10 місяців тому

    How come tan & cot is 1?

  • @shubhamunhale5762
    @shubhamunhale5762 5 років тому +3

    can anyone please provide me the link of "basics of trignometry" video.

    • @harshitshah6724
      @harshitshah6724 4 роки тому

      Yes please do provide the link for basics of trigonometry video

  • @priyamraid
    @priyamraid Рік тому +2

    at 9:30 and 12:10 sir has used AM formula as 1st term + last term / 2 . I have one doubt that it shall be N*[1st +last term]/2 bcoz if we consider here Am as sum of an AP with common diff of 1 than my stated thing holds true .
    Pls help me if some one got me .

    • @IIM_life_by_Divya
      @IIM_life_by_Divya Рік тому

      yeah actually same doubt here

    • @harshitsharma8972
      @harshitsharma8972 Рік тому +5

      @@IIM_life_by_Divya actually AM = (Sum of all terms)/N , therefore, if d=1 then AM = [N(N+1)/2]/N = (N+1)/2 Only, ie (first + last)/2

  • @amansaxena7976
    @amansaxena7976 11 місяців тому

    Why he is solving the Number system question in inequalities .....

  • @pen4466
    @pen4466 14 днів тому

    16:27 shouldn't (k×36/k)^1/2 => 6 and not 12??

  • @shubhamthakur7299
    @shubhamthakur7299 Рік тому +5

    A HUMBLE REQUEST COULD YOU PLEASE UPLOAD THE TRIGNOMETRY VIDEOS AGAIN
    YOU ARE THE BEST!

  • @nandyalajagannathsravan53
    @nandyalajagannathsravan53 3 роки тому

    @Rodha sir can you please share the link of trigonometry video......

  • @gowthamdhanasekaran3908
    @gowthamdhanasekaran3908 3 роки тому +6

    Any one helps me on when to use AM and GM and when to use GM and HM?

    • @Rodha
      @Rodha  3 роки тому +17

      AM involves Addition, GM involves multiplication, and HM involves reciprocals.

    • @lokeshagarwal2449
      @lokeshagarwal2449 2 місяці тому

      can you pls tell me why at 16.10 we are using GM and not HM

  • @shradhavyas3713
    @shradhavyas3713 3 роки тому +2

    Sir please inform the videos that you've deleted. We can't buy unacademy subscription. Let us know the topics so that we can search it from somewhere else

    • @Rodha
      @Rodha  3 роки тому +8

      No videos are deleted. @Shradha

    • @pavithran5515
      @pavithran5515 3 роки тому +1

      @@Rodha is 7 videos enough for inequalities sir??

  • @sainandipati4171
    @sainandipati4171 2 роки тому +2

    Sir 1 to 50 are in AP so AM is calculated. But 1 to 50 are not in GP then how can we calculate GM

    • @suryaprasanth5719
      @suryaprasanth5719 Рік тому

      Sum of n natural nos is (n+1)/2

    • @savyasachi6767
      @savyasachi6767 Рік тому

      Since 1 to 50 is in AP so he used 1st+last term/2. That was his point.

  • @rohangajare8718
    @rohangajare8718 Рік тому

    13:05 mistake

  • @snehan4504
    @snehan4504 3 роки тому

    Can anyone explain how (K.36/k)1/2 is 12?

    • @viveksinghchauhan1930
      @viveksinghchauhan1930 3 роки тому +1

      k/k=1 sqrt of 36 is 6 and after multiplying 2 on both sides we'll get 12

  • @muvvalalaxman4581
    @muvvalalaxman4581 Місяць тому

    @13:05, If a=1/1001 then in H.M formula 1/a=1001 (reciprocated) but sir kept unchanged,why??

    • @ShifaArabi
      @ShifaArabi 9 днів тому

      a is not 1/1001, a= 1001, otherwise AM wouldn't be ryt.

  • @anshbhakta826
    @anshbhakta826 2 місяці тому

    what are you doing at 13:00 ?? how can AM of all these numbers be (1001+3001)/2 ? The AM is (1001+ 1002 + 1003+ ........ + 3001)/ 2001 ? is'nt it?

    • @Ashx321
      @Ashx321 2 місяці тому +1

      a shortcut method is there.
      (1st and last term)/2 to get the AM of a sequence

  • @shristisingh2500
    @shristisingh2500 Рік тому

    At Question in 10:50 , its written 50! to the power 1/50 . Shouldn't it be power 1/2 ? Plz answer.

    • @shubhangsinha9616
      @shubhangsinha9616 11 місяців тому +1

      Okay So the answer is no. If you look at Formula of GM you'll realise that the square root of power in GM depends upon the number of terms . Since there were 50 terms the power will be 1/50.

    • @tanmaybhatt8749
      @tanmaybhatt8749 7 місяців тому

      we can geometric mean of any series or it has to be GP beacause of 1 to 50 numer are not GP@@shubhangsinha9616

  • @user-cs8kr3uo5z
    @user-cs8kr3uo5z 9 місяців тому

    why are we using GM instead of HM at 16.26

    • @lokeshagarwal2449
      @lokeshagarwal2449 2 місяці тому

      I have the same doubt, did anyone help you figure out ? if yes pls let me know

  • @samadkhan681
    @samadkhan681 3 роки тому +1

    I cant find basics of trigonometry video...can you please help🥲🥲

  • @dikshadeogade1082
    @dikshadeogade1082 4 роки тому

    (K+36/k)min, here k is in reciprocal. Can't we put min value of k=2 therefore it would become 36+2=38 ?

    • @adithya8
      @adithya8 4 роки тому +1

      A number and its reciprocal. Min value of k/36 + 36/k is 2.

    • @debarghadas4382
      @debarghadas4382 4 роки тому

      No,

    • @hiteshsuneja9810
      @hiteshsuneja9810 3 роки тому

      same doubt.... can anyone explain?

    • @Bong.motivation999
      @Bong.motivation999 3 роки тому +1

      No...you can't write like this . because ... Their coefficient not 36.. it's has to be 36 in both k.... We can write 36k + 36/k = 2 not k+36/k =2

    • @agrim8863
      @agrim8863 2 роки тому

      No

  • @ritikagaddellu7938
    @ritikagaddellu7938 2 роки тому

    Aisa koi video sir ka he hi nahi basic of trigonometry.. Sir aise hi bolte he.. R else he deleted it🙂🙂

  • @adithya8
    @adithya8 4 роки тому +2

    Sir, at 13:13 when you did HM, in the denominator shouldn't the terms be 1001 + 1002 + .... 3001 instead of 1/1001 + 1/1002 + .. 1/3001.

    • @karanshrivastav9748
      @karanshrivastav9748 4 роки тому

      he has already answered

    • @anujjain9499
      @anujjain9499 2 роки тому

      Wah bete...oscar doon kya??

    • @adithya8
      @adithya8 2 роки тому +15

      @@anujjain9499 It was a genuine doubt at the time. Pls consider getting a life and not reply to a 2yr old comment. Thanks :)

    • @Dev-jp4rn
      @Dev-jp4rn 7 місяців тому

      ​@@adithya8 bro from which college you did your mba?

    • @adithya8
      @adithya8 7 місяців тому +1

      @@Dev-jp4rn xlri brother.

  • @academics7471
    @academics7471 5 років тому +3

    At 13:05 How can 2001 cancel 3001+1001 ? I can't find any logical explanation? Can you please explain it?

    • @raviprakash6021
      @raviprakash6021 5 років тому +20

      Hi, it's a small human error :) .. actually whole LHS should be cancelled with 2001.. so it's should be 1 instead of 2 on RHS finally

  • @Shivamkumar-qh8rc
    @Shivamkumar-qh8rc 9 місяців тому

    at @13:47 idc HOW HE IS CANCELLING 1001+3001 WITH 2001

    • @rupdasgupta2855
      @rupdasgupta2855 6 місяців тому +1

      1001+3001 = 4002 which is dividible by 2001 😂

    • @kavyapande4886
      @kavyapande4886 5 місяців тому +1

      ​Then how 2 ? Should be greater than 1, no? ​@@rupdasgupta2855
      Edit: if any idea about trigno Material pls let me know

    • @Tusharbharti3887
      @Tusharbharti3887 19 днів тому

      @@kavyapande4886 i think the answer should be opp....

  • @vinayrj2766
    @vinayrj2766 3 роки тому +2

    This guy is teaching all topics other than inequalities.. 🤨

    • @Rodha
      @Rodha  3 роки тому +15

      These are under inequalities only :)

    • @vinayrj2766
      @vinayrj2766 3 роки тому +2

      @@Rodha Sir ur teaching is good but..first u have to teach basics after that u can go for advanced questions

    • @Rodha
      @Rodha  3 роки тому +9

      @@vinayrj2766 from the first class, it's as basic it can be . Watch in a serial order

    • @alokekhandelwal4894
      @alokekhandelwal4894 3 роки тому +2

      Actually sir in other platforms they teach smthing different in inequalities and their basics are also different

    • @adityathapa870
      @adityathapa870 Рік тому

      bhsi book le kaar phad le or buy unacademy subscripstion kitna padayaga banda yotube mai aur bhi jagah padata hai yeh banda