CMA Foundation Maths | | L 4 | Dec 2026 & June 27 | CMA Pushkaraj Bedekar

Added: 2026-05-11

[00:00:12]Wait hello hello hello hello you are not sharing the link kar k kar kar which banana is not there very good afternoon everyone how are you all friends the link has come, see the link has not come yet. Did you come or not? Did not come.

[00:03:02]Wait wait wait wait he will come, I will tell him, it is not okay Himanshu, from where should he do his graduation? Open University or Regular College?

[00:04:00]Look, do it from a place where you don't have much burden of attendance etc. What's in it? Okay, okay, let's start. All set, all good. Okay friends, today I am going to cover the important part. There is a very high chance of questions coming on this in the exam. So, we are going to do such things today.

[00:04:34]Give a heading in your notebook.

[00:04:40]Shivam is asking Sir, did I clear CA in the first attempt? Everything happens to me in the first attempt, friend. Yes, I have never seen the second attempt.

[00:04:55][laughter] So write word problems in your notebook today.

[00:05:00]Very important friends.

[00:05:18]Wrote ok what do we do now? There is a high chance of questions coming on this in the exam. So we're going to have a lot of questions about it.

[00:05:24]So today we will ask some questions. I will ask some questions tomorrow also. First of all I will give you a question which will have about four sub questions in it.

[00:05:37]We may get different answers for all four questions. So you don't need to worry about that. Then write the question.

[00:05:46]Two numbers are in the ratio 2:3 Two numbers are in the ratio 2:3 full stop Find out two numbers If first question their sum is 70 70 Second question difference between their squares is one verified Third their LCM is 24 And fourth if five is added to each of them If y is added to each of them then ratio becomes 5:7 then ratio becomes 5:7 Okay so four different questions are given.

[00:08:10]Their answers may be slightly different. First of all let us see what is given? Look friends, what have you given? Two numbers are in the ratio 2:3. What is the ratio of numbers given? 2:3 So whenever such a question comes, there is 99% chance that we will adopt a method.

[00:08:28]That question will be solved in that way. So let's get started.

[00:08:30]Write let two numbers be 2x and 3x let two numbers be 2x and 3x Okay now why have you assumed 2x and 3x?

[00:09:00]Because what is the ratio of numbers given? 2:3 When we divide this, x x will cancel out and what will be the ratio?

[00:09:07]2:3 is simple. When the ratio is given as 2:3, assume the numbers. 2x and 3x If I say the ratio is 5:6 then what will you assume? 5x and 6x, so assume those numbers according to the given ratio. Equals OK. Now as soon as you assume these numbers, your first task in the question will be to find the value of x.

[00:09:33]But finding the value of x will not be the final answer.

[00:09:36]Final Answer: We have to find the value of 2x and 3x.

[00:09:39]But for that we will have to find the value of x. And for that I have given you different conditions in each question.

[00:09:47]What is that condition? We will solve the questions one by one. Let's see what question number one says, there sum is 70, sum means addition, so what will you write, 2x + 3x = 70, write 2x + 3x = 70, so 2x + 3x means what will it be, 5x equals 5x = 70 and then divide it by 5 here.

[00:10:22]So x = 70 / 5 so what is x equal to? 14 will come.

[00:10:31]But 14 is not the final answer. Yes friends, 14 is not the answer. 14 is just the value of x. What did I tell you at the beginning? What is our target?

[00:10:42]Finding the value of 2x and 3x. So let's find it.

[00:10:44]2x means 2 * 14 equals the value of x that we have calculated. So what will be the answer? 28 and 3x means 3 * 14 is 42, so our first answer will be 28 and 42, yes 28 and 42, the answer to the first question has come.

[00:11:15]Tell me, did you understand the first question completely? Did you understand? Ok.

[00:11:22]Now let us come to the second question. Seconds will do this with a little care. Let's read the second question.

[00:11:27]What is? Read.

[00:11:30]The difference between their squares is 125.

[00:11:34]Listen, when I told you it was even, you just did 2x + 3x. Now I have asked something different.

[00:11:40]What have you asked? Difference. Difference means you have to subtract. But whose difference should be taken? Difference between what?

[00:11:49]There Squares. So tell me how should I write it?

[00:11:55]Speak, speak, speak. Yes. What all?

[00:12:00]Oh no, 22 8 and 42, this is over. That was the first question. Now this has no relevance to the real life of this second question.

[00:12:12]Well, you say 2x² - 3x² = 125. Is this what you also say? What do you say? That's it. Madam, this is what you say. What do you say? Or is it right or wrong? What we have written, is it correct or incorrect? This is correct.

[00:12:34]What do you think? feel right.

[00:12:39]What do you think about online students? What these face to face students are saying is it correct or incorrect? Is there any right or wrong in this?

[00:12:47]Some students have started answering online.

[00:12:55]What do you think? Is this correct?

[00:12:59]Some people are saying it is right. No, this is a mistake. I will not write like this.

[00:13:06]How much is the difference? 125 Now when you take the difference, will you subtract the smaller from the bigger or will you subtract the bigger from the smaller? Which is the smallest of the big ones, so which is the biggest? Is it 3x bigger or not? So you will have to take the bigger number first.

[00:13:25]If you write equal to 3x² like this, here it is the square of the wrong number, what is our number 3x, then we will have to take the square of its whole number, how can you take the square of just x, will you take the square of the whole number or not, you will take it, equal to it, then the bracket square of 3x, then which sign minus in the middle, then what will you write, tell me, the bracket square of 2x, do not write 2x², it is the square of the whole number. Is it or not? And do you understand how to write 125 as equal to?

[00:13:59]So do one thing, write it like this.

[00:14:03]This is wrong. Otherwise, later you will go to the exam and make the same mistake. Yes, if you have written this then it is wrong to say it. You will mark it with a star and then write the correct one.

[00:14:21]Yes Saloni absolutely yes Jashandeep absolutely right Vaishali is saying it will be plus oh how can it be plus madam she has said difference so difference means minus yes Surjeet you are absolutely right understood what you have written ok bracket of 3x 8 square means what will you write? What is the square of 3? 9 and x² x² - 2² 4 x² x² = 125 equals 9x² - 4x². 5x² 9 - 4 means 5x² = 125, divide this by 5.

[00:15:14]x² = 25. If equal then what will be the value of x? Square root π it can be plus or -π but on a temporary basis I will take phi for now.

[00:15:26]The value of equal good x is the first target achieved, right? What is the first target?

[00:15:32]Finding the value of x. Done. But is this your answer? No.

[00:15:37]What is our target? Finding the final value of 2x and 3x.

[00:15:40]So if we put 2 * 5 in it then the answer will be 10 and 3x means 3 * 5 then the answer will be 15 so the final answer is 10 and 15 understood, yes online students, many of you have already given the correct answer, some people made a mistake but tell me now is this question clear to everyone, face to face students, let me explain it completely to you also, so this mistake happened for the first time in the class, it ends here. That mistake should not happen again.

[00:16:12]After this you have to solve it correctly. Right?

[00:16:16]Yes Mahi Jain, if you take negative then the answer will come in minus. Equally, but right now I have taken positive on a temporary basis. But yours is correct. There is nothing wrong. Online students should give confirmation once. Are the first two questions clear to you? So if it is clear then I will move ahead. Yes it is clear, very good Guru is saying that 70% attendance is required in our college, then what can we do now, what should we do in college, I mean what can be done, we will have to go, then the rhythm is ok. Will have to look at options. There is an option in the exam, so you will have to go according to the option.

[00:17:15]Let's see what is the third question? Read. What is the third question? Their LCM is 24.

[00:17:22]Do you know the full form of LCM? What is the full form? Lowest Common Multiple. Least Common Multiple.

[00:17:33]Least or lowest, whatever you want to say.

[00:17:35]Ok? Now let's see how to write the LCM.

[00:17:41]Write 2x and 3x. Multiples of two means two that appear in the table.

[00:17:48]Do you know the table for two? Say it twice 2 * 1 = 2 yes say it. 2 * 2 = 4 2 * 3 = 6 2 * 4 = 8 Well done. 2 * 5 10 Very good 2 6 12 Well done, you know a lot, don't you?

[00:18:08]Tell me, will you find it difficult to understand three's table now?

[00:18:10]3 * 1 3 3 * 2 = 6 3 * 3 = 9 3 * 4 = 12 You know this much, very good boy, write this Ishaan is asking, why did we take only 3 and 2 numbers? Hey, where is your attention?

[00:18:35]This number has been said to be 2:3 earlier, so you must have just joined the logic of 2x and 3x in the beginning and then you have come here and are asking the question, this was told in the beginning. You look carefully at what I am saying. To listen well. Yes Dankesh, all the best, what is written, now tell me, multiples of two and multiples of three, what are the common multiples in this, common is six and 12. But what does LCM mean? Least. Least means the smallest. So which one is the smallest? It's six. Now listen to me carefully.

[00:19:19]When you write LCM, you will write it for 2x and 3x. We have to write not just 2 and 3, what do we have to write, 2x and 3x, so you will write the LCM of these 2 and 3, what was the result, 6 and this x has to be written as it is, do not forget it, okay, so it has to be written as it is, okay. But LCM is given in the question.

[00:19:51]How much have you given? Say.

[00:19:54]24 so write 6x = 24 equals what? Isn't it? This LCM value is given in the question.

[00:20:05]equal then what will be the value of x? Say. Will four come? Divide by six here. Isn't it? Four has arrived. But finding the value of x. This is not our final target.

[00:20:17]What is your target? Finding the value of 2x and 3x.

[00:20:22]So put the value of x.

[00:20:24]2 * 4 8 3 * 4 12 So what will be your answer? Have you understood 8 and 12 completely?

[00:20:47]Aditya Choudhary is saying the answer is 4 and six.

[00:20:50]How did four and six come about, friend? My 8 and 12 are coming brother.

[00:20:57]Yes 8 and 12 8 and 12 Seemanta is asking what is the LCM? How to get it out? Hey, this is written, isn't it brother?

[00:21:16]These people do not pay attention. Where is their attention focused? I do n't know this. The number which comes in the multiples table is written here, is n't it, the table of two, the table of three, the least number is written here, and x has to be written, is it or not, Khushi Malik, that's what I am saying, I am asking you to write the least common multiple, there is a reason behind it, you have to write something in maths, you will only see, there is no bhajan playing here, you have to practice with me, yes no, do not message on the WhatsApp number, what have I written, right? Did you understand how to calculate LCM?

[00:22:09]This could be a cut. You did it, brother. 24/6 cut it, right? 6 * 4 = 24 and what to cut? How did 24 come about? I am asking. Hey hey, do n't you pay attention, people? Why do n't these people pay attention? Hey, it's in the question, you crazy guy. What is the question saying? You are not even reading the question. Their LCM is 24. Hey, it is given, it is given in the question.

[00:22:31]Now you said you will say you said only 24.

[00:22:34]Hey, I have asked the question. You will not appear as 24 in the exam instead of 24. Something different will come. Pay proper attention to reading the question.

[00:22:41]When will you learn? Pay attention. I explained to you why people don't pay attention Himanshu yes it is written tell him tell Sundar what is Sundar what is it sun danger sun danger or what is Sundar written I don't know his name yes tell him he has given it in the question yes I am not paying attention to it yes let's move ahead let's read the fourth question what is written?

[00:23:24]5 is added to each of them.

[00:23:28]Tell me what have we assumed about our numbers? Why is 2x and 3x assumed to be equal to 2x and 3x? They will ask these questions. Tell me why did you do it? The ratio given in the question is 2:3. So do n't ask this later. Where did 2x and 3x come from?

[00:23:43]He has assumed that. Isn't it? Yes, I have assumed 2x and 3x.

[00:23:47]What is there to do in both of them? Have to add fi. So tell me what will be the numbers? 7x is speaking. Hey, it will remain 2x + 5 only. Does it have an x ​​in it? Does it have five?

[00:23:58]No, then how will the ad happen? Hey crazy guy, you are very good at maths, we will have to work very hard on you. Isn't it? So 2x + 5 = 3x + 5 is added to each. So you will not do anything to this 2x + 5. If it had remained like this, it would not have remained 7x.

[00:24:17]Online students are saying, what is 7x 7x? Does not happen. If there is only fi here then this ad would not have been like this. You just have to write like this. 2x + 5 3x + 5 Then read further what is written in the question? Yes. Fi is added to each of them. Read further.

[00:24:37]The ratio becomes 5:7 ratio, so what will you do with it? Will divide. What does it mean when it calculates the ratio? Divides. Isn't it? Equal to 5:7 Yes π / 7 written equal to. Now what is the first target?

[00:24:57]Finding the value of x. Tell me what should I do? Yes. Well done. Well done.

[00:25:00]You will take it from here and from here.

[00:25:05]Take it equally. Multiply 7 * 2x + 5 = 5 * 3x + 5.

[00:25:16]What is 7 * 2x?

[00:25:20]Yes, 14 x 7 numbers will be multiplied.

[00:25:24]What is 7 * 2x equal to 14x + 7 * 5? 35 ok? What is equal to 5 * 3x? What is 15x + 5 * 5? 25 is correct. Write.

[00:25:42]You have given a good answer. Look, Shlok Gupta is asking. Someone please explain this to Shlok Gupta.

[00:25:48]How did 5/7 come about? I am asking.

[00:25:52]Hey Shlok Gupta, where is your attention? [laughter] Hey, don't you read the question?

[00:26:01]What do I say first? You read the question.

[00:26:04]Explain this to Shlok Gupta, hey online student, how can I explain this, yes he doesn't even read the question, yes okay, tell me further, yes what should I do next, tell me what should I do next, should I take the term of x here, what is it, and take 25 here, okay, okay, is 35 - 25 = 15x - 14x equal, correct? So what is 15x - 14x? x 1x means x and 35 - 25 10 this is half the work done.

[00:26:44]This is not the complete answer. Now what will we do next? You want to find the answer to 2x and 3x, right? So how much will 2 * 10 mean? 20. The value of x is 10.

[00:27:00]3 * 10 means 30, so what will be the final answer? Did you understand 20 and 30? Yes Mohit, you have completed it completely. You are smart brother. Now what can we say, right? Please teach us a little too. Yes yes equal Kalam Heer Nidhi Kusum is correct Vishwa Jasdeep Very good Ritesh Very good Kanishka Soumya Ragini Nidhi Very good Harsh Very good Correct answer Ayush is asking whether this type of questions will be there in the exam? No, just jokingly, I was getting bored at home so I came here to pass time with you. Isn't it? So I am getting you to do something. I am crazy, am I not? Hey hey friend, will it stay? I am not passing time like this. Isn't it?

[00:28:24]Ok. Let's collect it till here. Let's move a little further. Now we have done four questions. Made four different ones in one question. Let's write equal next.

[00:28:44]Angles of a triangle are in the ratio Angles of a triangle are in the ratio 2 3 5 full stop Find out all angles Find out all angles Okay now guys what is the ratio of ah angles of a triangle given? 2:35 So tell me what would you assume three angles to be?

[00:29:42]Write 2x 3x and 5x Let three angles be 2x 3x and 5x Let three angles be 2x 3x and 5x written Okay, in your childhood you have heard a property about triangle, what happens to the angles, what is its condition, what happens?

[00:30:19]What would happen? She is talking about the Pythagoras theorem. Madam is an expert in mathematics, so she is talking about Pythagoras theorem. No, we don't need so much advance. We need basic basic things. Friends, please tell me the basics. Yes Sapna, absolutely Moksha, correct Aditya, yes Mohit, correct and leaving aside some Pythagoras theorem, some right angle, obtuse angle, acute angle, these big things, meaning the incarnation of Ramanujan, are talking a little big here. No, I do n't want to talk about such big things. I have to talk simple things. We are talking about a very simple isosceles triangle.

[00:31:05]Look, Isosilis, here such things are going on that Aryabhatta Sharma should go. Oh no, look, I am talking about BPT theorem here. Hey madam, no, we want simple. What is the sum of all the angles of a triangle? 180 That's all I need. I do n't need any more, we are small people. Isn't it? Look sir, this Aryabhata Ramanujan has come to beat him. Isn't it? No, I will not go so far ahead, I will do only as much basic small things as I understand. Yes what?

[00:31:41]Sum of all angles of a triangle equal to 180 so write its addition equal to 180. Ok. What is 2x + 3x + 5x? How much will 2 + 3 + 5 be? 10x ok? So write 10x equal to 10x = 180 correctly.

[00:32:16]So what is x equal to? Divide 18 by 10.

[00:32:20]18 equals but this is not the final answer. The value of x is reached. Half the work is done. Now we have to find the angles which we have assumed?

[00:32:32]Calculate 2x, 3x and 5x. Put the value of x.

[00:32:36]2 * 18 36 will it come, right? How much will 3 * 18 equal to 54 and 5 * 18 equal to? 90 36 54 90 Yes Why do you want to cut? Why will he cut? Hey, this is your answer, there is no need to do anything further. If you calculate the ratio again then do the same thing again. Yes, why would he return it anyway? Yes.

[00:33:17]36 54 and 90 Yes online students you are right. Tell me, have you understood this completely till now? If you have understood then tell me it is clear. Then I move ahead.

[00:33:31]Who is Yas? Yes it is clear very good yes done okay let's do the next question yes we will do the questions from the book wait wait wait wait wait wait let me write two more questions and I will make you write two more questions then we will do the questions from the book okay ages of son and father are in the ratio 1:4 ages of son and father are in the ratio 1:4 full stop next 5 years ago five years ago the ratio of their ages was 1:7 full stop find out their present ages.

[00:35:33]Find Out Their Present Ages. Meaning, their current ages have to be found out. Ok? It is very important. These types of questions are meant to be favorites. You might have seen such questions in your childhood also. Isn't it? So let's see.

[00:35:44]Your childhood memories are fresh. Our memories of yesterday are not fresh. He said, where do you bring out the childhood memories? Isn't it sir?

[00:35:52]You say anything. Isn't it? We don't remember yesterday.

[00:35:55]What did we do? Isn't it? Let us go.

[00:35:59]Yes. What is the ratio of father's age to son's age and father's age given? 1 4 So what will their edges assume?

[00:36:10]1x means x and 4x so let's get started.

[00:36:14]Let there be present ages be Let there be present ages be x and 4x Let there be present ages be x and 4x Okay, tell me what does 5 years ago mean?

[00:36:50]Well, what does 5 years mean?

[00:36:52]What happens 5 years ago? 5 years ago. So what would Sun's age be 5 years ago? His current age is x. Yes.

[00:37:02]x - 5 very good, it will be less than 5 years, that will have to be subtracted, what is the current age of the father, we have taken 4x, so 5 years ago that too will be less than five, so 4x - 5, these are the ages of 5 years ago, x - y and 4x - 5, now what is the ratio of these, 1 7 means this is equal to 1 / 7 5 years ago, that means 1/7 5 years ago, what is the first target?

[00:37:33]Finding the value of x. What to do? Cross multiply. Ok? Do it.

[00:37:43]7 * x 7x - 7 * 5 35 The right side will remain the same as 4x - 5 * 1. Take the term 4x - 5x on one side. Numbers on the other side 7x - 4x = 35 will go to the right side 35 will be plus 5 minus 7x - 4x 3x = 30 so x equals to how much will come out to be 10 we will divide by three half the work is done x has become 10 but their present age now son's age was taken as x only so that will come out to be 10 years father's age 4x means how much will come out to be 4 * 10 means 40 so 10 and 40 this is the answer we should not do -5 we will do -5 their ages of 5 years ago will come out what have you asked us present ages 10 and 40 yes Ashu if you had said after 5 years then we will add it definitely we will have to do plus it means first we will do subtraction after after means later we will do plus then 10 and 40 yes correct it is added everyone come and I am going to make you write one last question then we will do question from the book but first tell me this Did you understand the question?

[00:39:11]This is a very complicated question. Should I tell you? The next Mohit is saying that x is coming to -10. Hey, the age of the son is -10 years, have you ever seen in life that someone's age is -10 years. Isn't it?

[00:39:41]You have gone to your previous life, friend. Isn't it?

[00:39:44]Now you have started talking about your past life.

[00:39:50]Come in this birth, come in this birth, come in the present, right friends, write the next question, a number is increased in the ratio 3:5, a number is increased in the ratio 3:5, what would be the value of what would be the value of 120 after increment after increment is an easy question.

[00:41:13]Understand it well and comfortably. Two-one steps will be dealt with in one step. This is the question. It is a simple question. Look what it is?

[00:41:22]What did you say? Look, read from here to here. The number is increased in the ratio 3:5, meaning if the original number is three, then how much did it become? It became five. So let's assume that first you gave me three apples to eat. Then you increased it.

[00:41:41]How much did you do? If you made it into a pie, it means you gave me two extra apples. So if the number is increased in the ratio 3:5 then we will assume that if 3x is the original number then what will be the new number? The new number will be equal to 5x.

[00:42:05]So what question have you asked? What would be the value of 120 after increment? So if the original number is 120 then what will it become? You must have read the unit ray method in your childhood, right?

[00:42:18]How to do cross multiplication?

[00:42:21]Multiply like this and divide like this. So new number = 120 * 5x / 3x some cancellation is happening. What is happening?

[00:42:38]Cut x. Make it 120 * 5/3. See how much it comes.

[00:42:45]600 by 3 is 200, this is your answer.

[00:42:48]Simple. Ok? So write this properly in your notebook like this. There should be no confusion later.

[00:42:54]Very simple. Yes.

[00:43:00]200 is the correct answer. Right.

[00:43:25]Sagar, it is simple, in place of 3x now the new number is 5x, how much will 120 become if increased in this ratio, that's all. There is no complication in that.

[00:43:37]Simple.

[00:43:42]Hey, if I gave you ₹5 instead of ₹3, then how much will I give you instead of ₹120? That is such a question.

[00:43:53]Equally done. Ok. Let's do some questions from the book.

[00:43:56]You have to solve it.

[00:44:06]Here is page number 51 of mine, it will probably be five or six pages ahead of yours. Okay, just do as you did, do the same question number three. Whatever you have done now is the same, same good SB nice to see you type the same, just do it the same, which 284 is he saying so, okay let's see what the rest of the people say, yes online students are saying that D option will come.

[00:45:07]Well, tell me how did you do it? The number has increased to 5:9, so how is it written? If 5x becomes 9x then this will be 1580.

[00:45:16]Question mark cross multiply divide then cut 1580 * 9x / 5x x 1580 * 9 / 5 2844 Option D is coming see is it yes it is done last question for the day one last question for today simple question number two do A option ok on online many of the students have told A option.

[00:46:43]Two numbers are in the ratio 7:9 there sum is 288 so two numbers are in the ratio 7:9.

[00:46:50]What did you assume about the numbers?

[00:46:53]What did you assume about the numbers? What did you assume?

[00:46:57]He is saying that he did not do anything. 7x 9x Hey, how many questions did you get asked today? Yes.

[00:47:02]What will you write its meaning? How much edition is given?

[00:47:07]288 let's do 7x + 9x how much 16x = 288 divide it by 16 how much will come 288 / 16 tell me how much is coming did you get 18 but what is the question asked than which number is smaller now tell me which one will be smaller between 7x and 9x just have to find 7x. So 7x means 7 * 18, right? 18 was the answer, so how much will 7 * 18 be? 126 means option A, if a bigger number was asked then we would do 9x.

[00:47:53]Both asked, both will calculate. Isn't it? 126 Option A So whatever happened today was explained well for sure.

[00:48:05]Yes online students please give me confirmation once.

[00:48:11]Is it clear to everyone, have you understood completely whatever happened today?

[00:48:19]Sure yes explained very good yes all clear nice yes it is clear very good very good ok yes Mohit bhai please check that part again Dev thank you Nikita please check that part again.

[00:49:11]Ishaan is saying that the Maths class should be conducted for 2 hours. If you combine maths and stats then that stat will be yours and automatically it will become that much.

[00:49:24]What is your name? I am asking. Hey Pushkar Raj Baker, I told you on the first day that you have just joined.

[00:49:29]Come on friends, see you in the next class.

[00:49:32]When will we meet now? See you on Monday. Isn't it? Till then keep up your good studies.

[00:49:37]Practice it well. Isn't it? Will you do it? Yes. You should solve this without looking at it after going home. Ok? Let us go. Okay, bye bye friends.