 Hey, good evening people. Can you all hear me? Good evening to everyone. Welcome to the center, guys. I hope all of you are doing fine. My voice is not that great today. So pardon me for that. Okay, so what's the code code is here? And, uh, right? So the code and the code and the link is there on the screen. Okay, now all of you have to mute your mics. Put your mics on mute. Okay, please subscribe here. See Krish is doing his publicity. Okay, already for, you know, so, uh, today's centimar will be very crucial in view of the upcoming test on Sunday. Can't hear me. Okay. Hello. Can you hear me, guys? All of you. So all the questions which are there today will give you a good practice of the upcoming test. So, and please take it very seriously. And, uh, again, as usual, there will be traps laid in the questions. So you have to be very, very cautious. Is Sunday test compulsory? Compulsory is a good word. Mining away. I don't know what I'm, uh, okay, never mind. Uh, yeah, so hence as we have been doing, there will be questions will be, it will be, um, tracking you towards wrong answers. Options will be very close. And, uh, laying traps for innocent kids. Yes, I know. So perhaps we will be trapped now. More will be free later. Okay, mute. Why only 60 people? Why do you mind? You know, let only serious people be there. It's good. More serious contenders. You guys are more serious. So it's better. So serious people serious about mathematics or quizzing should be there. Okay, that's nice. Okay, fair enough. So we'll start in two minutes. Exact. So those who want to change their devices, mobile phones to laptops, laptops to mobile phones. Five more. Why? Yeah, you know, it's let's let's follow the time. Strictly so that we can end our quiz strictly by nine. Okay, no. No problem. Those who want to join later, they can join. There's no problem. But everyone should be on time. Okay, by the way, today happens to be the birth anniversary of, let me see if you can see that. So today happens to be the birth anniversary of whom? Fine man. Okay, so yes. Oh, no, yesterday. It was one day late. So it was yesterday. Very, very famous. I don't know if you know this guy. Very, very famous professor. Right. Richard Phillips. Fine man. So those who want to pursue physics later on on, at least still grade or those who want to pursue physics, Olympiad and things like that. So you have to go through his lectures. We used to each act. He was a student from MIT, graduated in 1939, Second World War around that time. Then Princeton University, 1942 PhD. Yep, just see he has got so many awards. Okay, so very, very famous. He used to teach at Cornell, then Caltech. Very famous professor. Okay, do read about him. Right. So yes, so I think we should, we can start now. Okay, all, all ready, all ready folks. May the force be with you. The best person win. Okay, start. So here we start again. One piece of advice. Stay calm. Don't panic. Read the question. Read the options properly. Many a times you'll have to go through multiple options together for marking it correctly. Okay, so always remember these tests are these, this is a practice for not only your knowledge level, but your temperament as well. So here you go. Three, two, one, start. Very easy question. First question is warming up. So you should be able to do easy. Right. So all warmed up now. Let's see. Let's see how many of you got it correct. We'll check. Too easy becomes too difficult at times. Ha ha ha. I will keep on playing with your psyche. Pizza. Okay, let's see. Let's see. All 73 got it. Correct. Oh my God. So shall we move? So I am just waiting for everyone to vote so that I don't need to wait for so long. Pizza. Okay, pizza, pizza, pizza. Let the result come first. Then pizza. Okay. I know what mistake you have done. Everyone's done, but I don't see that thing. Everyone's has voted kind of a thing. Everyone has not voted so far. All done. Can we proceed? Oh, anyway, 30 seconds. Let's talk. I know most of you have got it. Trap in question. See, Pranavaz has got the trap. Great. Sensing a trap now. See, in 18 seconds from now, you will get to know you have done the biggest blender of your life. Okay. Okay. Right. Now you are going to see that. Oh my God. What happened? Oh my God. Everyone has got it correct. Oh, that's nice. No one got, no one got into the trap. Very good. Very good. But still 5 plus 4 plus 4. Why? Anyone wants, anyone wants to see today's, today's theme is trap. So be, be, be careful. Okay. There was no trap. Okay. So hence I'm telling you today's theme will be trap. Anyway, so anyone wants an explanation here. I don't know why. So but this should be very, very clear to everyone. Where is that? Yeah. So this was the first question. It is simply root 4 is 2. So there was no nothing to be, you know, I don't know. These people 5 plus 4, either they miss clicked or there was some issues. Anyways, let's go to the next question. Before that, the first leaderboard. Okay. Pranav is supreme. Supreme is which school? Pranav. Great. Oh my God. Oh my God. Can you see that? Can you see on the left hand side? These scores, these scores. Can you see that? That's so cool. Nice. I just wish it continues like that. Okay. Great effort guys. Very good. Now it is there already. Ashish. Don't worry. It's recorded. Okay. Now the trap. Warming up done. Now the trap literally guess Rudra Ditya says first. I think because if people came first and that much face on. Okay. All of us first. Okay. Good. So I hope you're solving this question. Most of you have already done it. That's nice. Very good. Very good. Very good. Very good. Very good. I am again telling you today's end of the hour will be very much helpful in the upcoming test. So please stay very, very seriously on that. The questions are going to be. Don't worry. That's not going to happen. But then okay. So last 17, 16, 15, 14, 13, 77 people. There are more people I think now. So how many are playing? I think some people are playing around the globe. They don't know that we are playing together. Okay. Fair enough. So okay. Here is the score. That's nice. Most of you have done it correctly. So that's good. But then few people haven't been able to. Anyone wants an explanation to this? Anyways, I will explain. So which one of the following is incorrect? This is this was super easy. This is wrong. This is not us. They are not similar, right? They are different. Only thing is, only thing was you have to just make this, you know, just check this. So how to check this? So this was three to the power of one upon three. And this is five to the power of one upon five. So hence what do we need to do? Take LCM of the orders. This is order three sir. This is order five sir. So LCM is 15. So this will be simply five upon 15. And this one is five to the power three upon 15. Clearly three to the power five, which happens to be 343 is greater than five to the power three, which is 125. Right. So if you compare this one, what is it? Three to the power five to the power one by 15. Please remember this technique. So three to the power five is 243. I'm sorry. Oh my bad. Thanks for correction. What did I know? Right. So and this is one upon 15. Correct. So three to the power five is 243 243 and five to the power five, three is 125. So clearly 243 is greater than one. Okay. So this is correct. Second one is not. So hence option A. So let's see any shuffle now. Okay. So now people have started taking different, different amounts of time, but still very close. That's nice. That's nice. Okay. Okay. Let's go to the next now. Be ready. Be ready. Warming up number three. You know what? Don't be paranoid here. You don't need to. You don't need to have confidence in your, on your knowledge. That's the agenda. However, disturbing the world appears. Don't, don't worry about the world. Okay. Very good. So last 30 seconds, I hope most of you have already marked it. I think this is super cool, super easy problem. Now that you have been doing so many problems of these kinds should not be an issue. Okay. World is very disturbing. Believe me. Okay. Pranav has already seen the world. That's nice. Okay. No problem. No problem. Last 10 seconds more. Last 10 seconds more. Okay. Here. Confused. Don't, don't worry. It's very, very simple answer. Okay. Okay. Here you go. Oh, that's something that actually hurts me more than anyone else. Why this? Why this? Right? Why you should be like that? Okay. Any X? Monisha, simple sir. Why X Raghav Pandey? We'll add up to a simple sir. What is root 80? Simple sir. Simple sir. You know, simple and compound sir. Did we not discuss simple and compound sirs? What is root 80? Root 80 is 16 times 5 and root 45 is 9 times 5. Okay. Correct answer is A. So hence it is 4 root 5 plus 3 root 5, which is how much? 7 root 5. And if you want to see, this is 7 square into 5, right? Is this a simple sir? No, it's a compound sir. Why it is a compound sir? Because there is 19 a prime number. This is different. This is 9 plus root 19. So this is not a, can't be simple. This one is a pure integer, pure integer, 5 minus 4, 1, right? So hence this is not, not C. Why are you, why did you do this? Why? What happened to all those who have marked it? That means, guys, the intention is not to make it, make you super over conscious. Don't do that. Relax. That, you know, understand now, now what is pressure? How mind the thing, don't you have hit that final six to win the World Cup? Remember, real life situation. Okay. Never mind. So next question, don't do that. Okay. Stay focused. Stay calm. So this is the new, but top 10 people did not do any mistakes. So that's fine. Okay. So, but a little bit of shuffling. Anyways, good. Nafla are ahead now, right now. Okay. Let's, let's go to next question. Stay calm. No trap. Now I'll reverse it. So you guys are getting too overwhelmed by whatever I'm saying. No trap. Stay calm. Very simple question. Very simple question. But stay calm. Look for the signs. Signs is where you will make it wrong. Look for the signs. Again, hinting, giving you hints. Look for the correct sign. Read the question twice. No problem. See, the intention is to make you all aware of what you're doing. By the way, I just had a, this thing, I wanted to do a general awareness quiz. Are you guys up for it? Will you be interested in such kind of a quiz? So general awareness quiz, which will be based on household items. So questions will be based on household items. We'll do it on a Sunday. Right. Household items. Yes. Questions questions will be, you know, seeing whether you have just to give an example. Okay. Example is how much voltage is there right now in your electrical sockets? So someone is saying 240, someone. Yeah. Good. 220. Right. So things like that. Well, you know, are you aware of all these things? So, okay. So very good. Okay. Not bad. Most people have done it correctly, but then 50% of you have not, not got it correctly. Why would happen? Anyone X here? What happened guys? Right. They go. Reciprocal of root five minus two was one upon root five minus two. And you have to simply rationalize it one upon root five minus two. How do rationalize rationalizing factor is this root five plus two. Is it? So what is it? root five plus two and divide by five square minus two square. Okay. So this is nothing but root one into root five minus minus two. Am I right? This is what they are asking. So a root five. So what is the value of a? What is the value of B? Minus two. Okay. So what is this? Total one into minus two B. Okay. Right. So do not let that happen. Okay. Forget about the prime minister. You guys are going to be the prime minister next. So come back. Please math, not prime minister. Next. This is the leaderboard. Okay. Some bit of shuffling. That's nice. Cool. Okay. Let's go to the next question guys. Said questions are easy. You are messing it up because you're not paying attention properly. Now careful, careful. Again saying careful. Don't rush through. Take your time. Solve it. Found answer. Solve it again. Get it correct. There is no fastest finger first in exams in at least your next two years. Solve it. Solve it again. Check the steps. There is no there is no what is a pleasure more than getting it correct. Even if you're fastest. No problem. You might go. You might become slow later on. But if you're accurate, the slow buildup of confidence will take you there. No worries from a take time. I'm telling you take time. 9th grade is long enough. Don't worry. Take time, but get it correct for God's sake. Get it correct. All fastest finger first will give you enough tricks to mark it correct in the exam. So don't worry about it. But then obviously someone who doesn't know anything cannot win the race. You have to know something. So hence we are insisting continuously that we accurate first. Speed we will give you. Don't worry. You will get the seed. Usain Bolt would not win the race just in one trial. See Anush now you know all these things pain a lot. So don't do that. I keep on saying don't do that. Yeah, general awareness should be fastest finger. Why don't you think so? Okay, so answer is good. Most of you are correct. That's nice. That's nice. But okay, so here very easy question. It was again again to see whether you are conscious or not cautious or not five to the power n by two is 625 which is five to the power four. Is it so n by two is four. Right and is equal to eight. And the question was signed out cube root of eight is to hardly 10 seconds. Right. Okay, very good. Let's see who okay. Now you understood how it was done. Right. Okay, every quiz will be fastest singer. Very good. Nice. Okay, let's go to the next question guys. All set again. Same instruction. Don't rush. No, don't say all of you are really intelligent. It's that you are too much tempted to get it correct. And hence you're making mistakes. That's it. There is no problem in understanding. There is no problem in knowledge, but to what do you say tempted to get it right at the very first attempt without much of a pain and effort, please put in effort when it is required. No, you'll get it right. So it says one upon two to the power 2020 minus one upon two to the power 2019. Okay, is it going to get K into two to the power B. So you have to find out K plus B. Yes, anything could be there. Yes, you never know. Let me see how many of you are really aware of your surroundings. It could be weird. You know, so know every room of yours, including the bathroom. Okay, so questions would be from there as well. Okay, fair enough. Okay, so this is also unsure. Yes, why don't require to solve it is very, very easy. You know all that. Confused. Okay, never mind. Yes, general awareness quiz link will be sent when the quiz is ready. So I have compiled the questions. Let me see how many of you are really aware about your surroundings. Okay, no problem. I will solve for all of you. See, I am giving you very simple questions, but then somehow, since it is not matching your regular convention questions, where is variable a? So that was why did you require a? Okay, so this was the question. And it was very simple question, guys. One upon two to the power 2020 and minus one upon two to the power 2019 is equal to one upon two to the power 2019 taken as common. And this one is one upon two minus one. Yes or no? Is it understood? Did you understand this step, guys? All of you, those who had asked, isn't it? That's it. Game over. So this is one upon 20 to the power 2019 into half minus one is minus half. So dear friends, this is one upon minus two to the power 2020 2019 into two is 22 to the power 20. So I didn't understand that step where you do 2019 as common common thing. So never mind. Let me solve it here. So once again, once again, there will be questions like these. So, you know, there is full worksheet on the latest platform, please solve. So hence what I'm saying is one upon two to the power 2020, right? minus one upon two to the power 2019 can be written as by our knowledge two into two to the power 2019 minus one upon two to the power 2019. Correct? Is that okay? I hope this is clear. So this is one upon two into one upon two 2019 minus one upon two 2019. So one upon 2019 seems to be common in both the terms, right? So one upon two to the power 2019 common, what is left half minus one, right? And then this is one by two to the power 2019 one by two minus half minus one is minus half. So this is minus one into two to the power 2019 into two to the power one, which is minus one to the power 20 to the power 2020, which is one of minus one into 20 to the power two to the power minus 2020. Isn't it? And what was asked k plus b? What is k minus one? What is b minus 2020? So hence answer is those who had asked now it's clear. Is it clear now? Okay. Yes. Very good. So please, otherwise you could have done in another another way also. So what you could have done is multiply the second part by two. So this will become 2020. If you multiply divide the second term by two, correct? Then you could have taken one upon two to power 2020 common and one minus two. Okay. Again, you'll get the same answer. I hope this is understood by all. You are getting intimidated by big numbers. That's it. Please, please embrace these. Right. Don't, don't panic by big numbers. Don't see because I told you in my J exam, the first question was half a para long, but answer was only one word. Okay. Half a para long. Guys, don't, don't, don't talk about something else. Talk about questions here. I will give you more websites to visit more interesting ones than these. Now listen, what I'm saying is in our J exam, the first question was half a page long answer was one word and it carried four marks for one word. People just left that word, left that question thinking that there is too much to do and they just missed four marks, very easy four marks. Yes. Since, you know, people will play tricks like that onto you. Never mind. So here is the leaderboard and this is the, oh, there is some shuffle. Okay. Okay. No problem. Maintain the pace and keep it up. Next question guys. Here on your screen again, they come. There is some bit of change in the regular the way these questions are asked. Some change has been introduced. So please solve using pen and paper. You can't guess it. You won't be able to guess it. So hence I'm giving you a hint. One upon root over n plus one plus root over n is equal to root over n plus one minus root n. Use that too long if you don't know that trick. Otherwise, it's 15 seconds long. The trick is one upon root over n plus one plus root over n. I will repeat slowly, but let the question be over. Lots of people have got it wrong. I know, I know your problem. I told you that I have changed something. Okay. I told you, right? Anyways, three parts in such questions, what to do? Quickly break them into three parts. One upon root two plus one. If those people who remember last class also last centerman, we discussed this. This is this is clearly directly can be written as root two minus one. Isn't it? Is it why? Because I told you this is what the hint was I told you so many times hint. Can't you see the same thing happening over here? So this will be root three minus root two. Can't you see same thing happening? But with a change, there was the change and where you have made a mistake. Right? If you solve this, it is one upon root three minus root four. So hence it will be minus one upon root four minus root three. Correct? And hence it will be minus one root four plus root three. And hence it will be minus two minus root three. Right? So hence minus root three minus two. So add all. So minus root three minus root three minus root two minus root two minus one minus two is now you understand you would have lost. Most of you have lost it because if I would have given you the original question was this the original question was this. Right? And I changed the sign. Right? Yeah, look, making Pratik understood. No, last step. Once again, first two step is clear to everyone. They are a check here. First two. Yep. Now I am telling you this thing is this. Right? Root three minus root four. And root three minus root four has to be written like that. Minus one by root four minus root three because you have to put it like this. No. N plus one first. Yeah, just a minute. Just a minute. Let me explain. Then this. So if you rationalize the denominator, you will get this. Okay. And then if you open it up, you will get minus two minus root three. So this is the third term. Add to the existing ones. You will get minus one and minus two only. So answer is minus three. Okay. So next question. Let's see. So hence see most of you have got it one. Here is where you have made a mistake. No, don't don't say like that. Do sad. Don't be not the age to be frustrated. If at all someone has to be frustrated, it's me because I'm teaching you all. So hence I have to do something. Don't worry. We get you out of this. Okay. So here is the next. Now I will not say anything to you in this question. Please don't kill the question. Kill the question. No, no, no other talk please. If you have done it, just stay silent. Stay calm. 100 seconds. Okay. So now very good. Let me see my performance here. That's nice. But still people have see those, those people, seven people have just guessed it. Simply guessed it. Yes. Just to remind you in all the exams, there will be questions where useless information will be deliberately given. Useless information. This is useless, totally useless information. Not needed at all. Right. Not needed at all. So what do you need to do? Identity simply root six minus root four root six plus root four is root six square minus root four square. Right. And then this one is root six square minus root three square. Okay. So this is six minus four into six minus three six. Okay. Got it. So hence what is the learning? Just because some information is given, it need not be relevant. Okay. So hence please be careful. Right. So don't accept things on phase value. Please question it. Why and see if it is okay. Why info given just to confuse you. That's it. Deliberately. Guys, let's maintain the decorum of the quiz. If you're not interested, you can go out. No problem. But let others be focused. Okay. New, new question. Next question. Be ready. Let me see how many of you can solve this. The last three questions will be challenging. So the question says two upon one plus root two plus two upon root two plus root three plus two upon root three plus root four plus similar pattern goes on till two upon root 80 plus 81. Take your time. No worries. But you will be able to do that. We have just now solved a question. Don't prompt people. Let everyone, everyone can do it. Everyone can do it. Okay. No problem. So now, oh, see mixed response. Few people, but then good that majority of you were correct. See. Okay. Here, here, here, all attention here. Now I told you in such questions, what do you need to do? You have to separate them and write if you, if you see two upon one plus root two is nothing but two. And you have to write like this. You have to rationalize basically. So how do we rationalize root two plus one? I have to write it like that. Why? Again, one upon root over n plus one plus root n is equal to root over n plus one minus root n again and again, again and again. Right. We are using this. So this simply will become two times root two minus one agree or disagree. Two upon root two plus one will be two times root two minus one. All of you agree. Yes. Tell me. Yes. If you agree. Why? Give me, give me, come on. Thumbs up. If all of you agree that and if you don't agree, you can do this root two plus one and rationalize using the rationalizing factor. You will see it is nothing but root two minus one upon one. Similarly, if you check this thing, you will get two times root three minus root two. Okay. Similarly, if you check this thing, you will get root two two times root four minus root three. Now do you see the pattern? That is two times root two minus one plus two times root three minus root two plus two times root three might root four minus root three plus so on and so forth keeps on going. And then finally, two times it will be root root 81 minus root 80. Right. Now this root two, this root two will go. Right. Two times root two, two times root two will go. Right. This root three, this root three will go. Right. Keep going, keep going. Ultimately, this will be lost. Okay. What is left? This and this. Right. So hence it is two times root 81 minus root one or one. Right. Which is two times nine minus one. Which is okay. So in such questions, what to do? No, learn these things first. So learning is there will be some intimidating expression. Okay. Yes, it has to be. So now you guys are you why do we want to stay where we are? We need to upgrade ourselves. So hence, you know, these, these type of questions will be there, which will be challenging. So hence, what is the learning in this question? What is the message? Message is, please remember root over n plus one plus root n is equal to root over n plus one minus root n bar bar every time I'm saying this. Why? Because this will be going to be with you a lot many times, lot many times also root over n plus one minus root over n is equal to root over n plus one plus root n. This you can treat it as another identity. Okay. So this is going to be used so many times, so many times in your life can be extended. No, no. Right now let's finish this quiz first, Krish. Is that okay? Please be very, very careful about all of these. Okay. Next. Let's see after this. How do we solve this question? Now you know how to solve such question, Naina. Be observant is first thing. Observe because there is something question. Don't maths may don't, you know, really think that it will be only a conventional mechanical problem. You fit in this formula, you get the result. Then that's not mathematics, my dear. Even if you get it wrong, now you know the pattern, right? What kind of how to recognize patterns. So don't take it like that. Okay. So next time you should be able to and I'm telling you there is an exam. Take your time. Take full 90, 90, 80 seconds, but please solve it correctly. I don't get proper sleep if more than 15% people get it wrong. So for my sake, take your time and solve. Oh my God, such harsh statements. Arushi, you guys, if you, if you guys will say like that, I am more shattered. Don't do this to me, please. This is this question is based on comparison of serves. We did this. We did this in our classes. Okay. Thankfully, most of you are getting getting it correct. Then most of you are not able to solve also. Okay. Here is the question. How to solve in such questions. Don't really go option by option. Not a good strategy. First see all of them are same. Yes, all, all the three, there are three elements. One, two, three. And in all the questions, all the questions, they are, they are repeating, right? So how do we compare serves? You have to take the first of all, write it like this, one upon four, one upon two, one upon three. And then how, how do we compare? We compare by taking LCM of the order. What is the LCM of the order? What is the LCM? LCM of the order, guys, is 12 very good. So hence we have to convert all the powers of it, all the orders into 12. So can I write, so hence this is six to the power three, one over 12. This is two to the power six, one over 12, four to the power four, one over 12. Okay. Six to the power three is two, one, six, 36 times six, one over 12, two to the power six is 64, one over 12, four to the power four is 256, one over 12, right? So hence which one is the smallest, right? So this one is the smallest, right? Then which one? This one. So next comes this one, right? So hence this is the only one which is, is that understood or not? There will be questions of similar nature in your exam. So hence I'm asking you again, all of you are clear, those who could not understand now it is clear. Tell me guys, clear? I will again repeat if you are not, you know, so again, you know, we can, there's a video on the Learnist platform also on comparison of certs. Please have a look at that. Okay. Fair enough. So let me see who has performed. Okay. So most of you are getting it correct only the top, within the top 10 people are okay. Fair enough. No problem. Let's go to the next question. You just need to do one. In fact, options are very, very, what do you say? Direct. You can solve it in the reverse direction. So last five, four, three, two, one. Okay. Okay. Oh no. What? Why? That means finding square root is still, still creating trouble for most of you, right? Square root. You have to find out the square root. Yep. So forget about this. Take one. What did, what did we explain in the class? Let 19 minus eight root three be root A plus root B whole square. There are two, two, three ways of doing it. Two, three ways of doing it. Do we not discuss this in the class? Did it, did we, or did we not discuss this? Right? So hence, what is it? 19 minus eight root three is equal to what? A plus B plus two root AB. So many times we have done. Please go to darkness. There is a full fledged worksheet only on finding square roots. Please do that. Okay. And you will never get trapped again in your life, but please do that. Now, what is it? A plus B is 19. We did this so many times. A plus B is 19. And what is root AB then? So, oh, sorry. I have to use minus here, not plus minus because it was minus, right? So hence minus, minus. So, and the second thing is sorry, this one minus eight root three is equal to minus two root AB, like that minus two root AB, isn't it? Is this clear? If it is not clear, please let me know. And this is nothing but four root three is equal to AB. So 16 into three is equal to A, sorry, root AB, so AB. So AB is equal to 48 and A plus B was 19. So it is 16 times three is 19 and 16 into three is 48, right? So hence 19 minus eight root three is root 16 minus root three, which is four minus root three. 19 minus eight root three is four minus root three, correct? Similarly, you don't need to do this. There was only a change of sign, so it will be simply four plus root three. Guys, here, here, here. Focus again. No cross chatting. Four plus root three plus four minus root three is eight. Yes, yes, any more explanation to this? Yes, those who could not get it now, now you got it. So what was the question? Question was finding this square root of this thing and we have, Bharat could not get it once again. Root over 19 minus eight root three, let it be root A plus root B. Let this root A plus root B, then square both sides, right? So this is 19 minus eight root three is equal to A plus B plus two root B. That means A plus B can be written as 19 and two root, sorry, this was minus again, I made the same mistake. Yep. So two A and two root AB was equal to eight root three. So this will give me root AB is equal to four root three. Squaring both sides, you will get AB is equal to 16 into three, which is 48. Now AB is 48 and A plus B is 19, right? So hence A is 16 and B is 18. So three into three, 48. So that means A is 16, B is, right? So root 16 minus root three was the square root of the first one. So four minus root three, okay? So four minus root three. So this one will be four plus root three, four minus root three plus four plus root three is eight, clear? So let's see the standings now. Okay, so lots of people could not get it this time. Okay, next. Last question of the day. So that says easy, too easy. So closing questions should be easy, no. I hope you have not done the same mistake which you did last session. Oh, everyone is saying easy now. That's fine. Good. Good to know that then. Very good. But still many people have bought it wrong. Oh my God. Oh, people are saying easy and then still. Oh my God. I told you you would do the same mistake which you did the last time. It was to find out root x and not x. You are supposed to find out root of x and all of you have found out x. So after so many reiterations and reiterations and reiterations anyways. So what you need to do is you need to square both sides. Right. So if you square, you get x plus 12 here. And here you will get root x square plus four plus two into two into root x. Okay, so x plus 12 is equal to x plus four plus four root x. So x x goes this four goes from here becomes eight. So root x is two and you found out x four. Most of you have done this same error exact same pattern of error. Right. Now you understand mission. All those who have understood now what is the problem? Where does the problem lie? All of you know knew this. You could have, you know, if someone would have asked you x, you could have easily said four. But then your focus is totally on to find out expression. Please read the question. How, you know, I've repeatedly, hi Ram. Exactly for me also like hi Ram. All of you know this. I don't hate anybody. Come on. See, you will thank me later. I'm telling you. You will thank me later that now you are, you know, more aware, more alert, more alert and your number of errors will come down significantly. I'm devil incarnate. Oh my God. Such, such, you know, I guess I'm getting this this evening. Okay. No problem. Right. Never mind. Never mind. Uh, no, no, no, nothing of that sort guys. But the agenda is to make make all of you alert and attentive. Otherwise, your whatever talent you have, you will miss the, you know, this thing. So please, I know where intend to show you or, you know, see you in a bad light or something. You guys are all smart. Right. So hence, so hence, please bear with me. I will what, however much you hate me, I will be trapping you. Thanks for me. Thanks buddy. Thanks. So I will be trapping you again and again so that after six months time, you will always be, you know, all of you will make me proud and make your parents proud, make your school proud, all of you. Okay. So don't worry. Here is the final, final, final. Okay. So this is the final one. Thanks. Thanks. Thanks. Oh my God. Gents. Wow. Wonderful. Again. Gents is on top. So it seems, you know, people will start doubting that I give you the answer key beforehand. So all my quizzes you are on the top position. That's nice. Very good. Very good. So congratulations to Jayant, Parth, Abhishek, Srijan, Rishabh, Shivam, Manisha, Pratham, Nishant and Prateek. Very good guys. Those who have participated, I am very thankful to all of you. You guys are learning. Don't worry. Don't lose hope. Slowly and slowly, you will move up. I will make you move up. Don't worry. Okay. Kisna, Prateek, Jayant. Ask Jayant now. Why are you asking me? Right? Do you think I would be, you know, kind of falling for right here? Okay. Never mind. Okay. So I hope you learned something else. The idea was all these questions which I have given to you. They will definitely help you in the upcoming exams, not only exams. Please try and understand where you are getting wrong. That's the only, in my opinion, all of you are able to go to the last step. And in the last step, you are just missing it by a biscuit. So hence again, urging all of you to stay calm and, you know, be alert. So hence our general awareness quiz. Go around your home, household, see what is there around, talk about, you know, know about fridge, air conditioners, cookers, kitchen utensils, what is there in, you know, plumbing circuit or your electrical circuit, all those things, there will be questions based on that. Your toothbrush, your toothpaste, your detergent, your... This quiz will be solved. Sunday. Sunday is a good day. Sunday evening. Okay. Take care, buddies. Good night and have a nice sleep tonight. See you, Indra Nagar. So, this Sunday. Yep, sorry. So, what is next Sunday? This Sunday, yes. You don't know what? Can we do it next Sunday because we have a, we have an exam in US. You don't need to prepare for that quiz. It's just to see where do you, you know, it's just like a discussion and this thing. So don't worry. Don't attack me. Everywhere. Subject is general awareness. How do you know about your household? Sunday. Sunday. So what time? So what is next? Next centrum hour would be, I think, I will just check guys. Okay, sir. It will be chemistry mostly. Chemistry. So what time on Sunday? What time do you want? Evening? Seven. Um, so could we do it at this time? I have some classes before that. No problem. Okay. Done. Eight to nine. Centrum hour time. Okay. Yes, sir. Okay. Fantastic. Bye. Take care. All the house, yes.