 I just keep your mics on mute so that we can talk okay otherwise it will be echoing a lot okay welcome to the first centymar of the session guys I hope you're doing good you're safe and enjoying your quarantine life so we have lots of people joined today so across all the NPS is NPS branches we have people joining in here so that's really amazing so you will get a chance to interact with all the people across the you know NPS okay great so yes naffle also naffle people are also there's all ninth graders of Bangalore city the brightest people here are here so let's try to you know enjoy and use your talent to work on some problems and then yeah so yeah there are protocols there are some rules in this game so the first rule is no one talks amongst yourself cross discussion of any problem is not allowed sorry we have to maintain some kind of you know protocol otherwise it will be very difficult to run the session okay so there are a few protocols all of you anyways know those who are interacting with me so you have to say yes yes or no no how by saying why why why why is why is yes right so all of me give me a thumbs up by saying why so whenever you want to say why you'll have to say you know you have to let's say yes you have to say why so when you want to say no you have to say N right so how do you say that is N right and the other protocol is whenever you are answering any question so you have to mention the question number that is one slash whatever or one yes so everyone has another another very cool okay so you have to put your mic on mute otherwise it will be difficult for me to run it okay so remember maybe many a times what happens is you my mistake the mic is kept on mute or whenever you come back after logging in you know after logging out let's say so again your mic is on mute okay so once again I'm saying first of all welcome everyone second is we have some protocols some rules of the game the rules are whenever you understood anything and I asked whether you understood you have to say why right so just let's do a demo all of you type why right so why means yes so that's the you know because I am not able to see you so hence your reactions are only through your text okay next when you have to say no for example if I ask the question a whether you understood no they have to say and and and many a times many a times because of the flurry of messages which you know which pass through so let's say if you if I did not notice on any one of yours you know responses so when the messages stop what you can do is you can always retype your okay so again so as I request you keep requesting you please keep everyone on okay so everyone has to be on mute mode always now I some technical issues might be there so it will settle down it at times it is because of the internet variation speed variation and things like that so don't worry everything anyways is recording just in case if you miss something do not worry and you will get the sessions you know recording and all that but he has tried to be in the game as much as possible because during first few sessions we'll try to calibrate that is you know we'll see how you are responding and this is that we also have a system of making a leaderboard on the go so hence hence all of you you know must answer your you know queries very patiently and carefully and you know it's not about any competition over here enjoy the session in terms of let's say you know there's another opportunity for you to interact with your peers and you know different approaches of problem-solving and mostly we will avoid teaching anything here because you know we have any ways doing in the morning sessions this will be primarily dedicated only to problem-solving so you know you will be solving different types of problems right now it is an mcq mode there will be few questions which will be not in mcq mode so in that case you'll have to write also so that we will you know graduate as we go ahead we'll see how we can do that so all of you are ready so I understood you have to keep your mics on mute all the time if you re-log in please check whether your mic is inadvertently left as unmute so that you know the lot of echo okay so I believe all of you have started doing number system at you know in every every batch we have discussed number system so what I am going to do is we are going to solve a few problems some some problems maybe you know a little easier one in the sense since this is a warming up session in terms of you know this is the first session of our cure since in the very first session we really don't want to get into a very high level of questions and problems all of you I believe would be having a piece of paper or in fact as I have suggested to my people and since those people who are attending with me that you must have a small logbook or you know a notebook where you put your dates on that you know put your date on the you know on the book right you haven't written in a month don't worry now you'll write more so get our notebook and put the date and now you will be solving one by one so here you go so whenever you are you know and you see the question the thing is you will have to uh mention your answer right so right now uh for the first few sessions we'll just see if we can really because there are lots of people so when we create leaderboard it takes some time so hence you have to give us that time and hence to register your answer you have to say one a one b one c one d like that or two a two b two c two d right so just a demo so for example three b how will you write three b right three b so yeah question number three b like that so what we'll do is we will see who answered first the first five uh answers are taken into consideration and the leaderboard is prepared like that and we'll publish the results we're trying to do it live as well there is a mechanism but right now in the first session we are not doing it but then we will be creating a leaderboard as well so all of you are ready shall we proceed so give me a why if you are ready okay very good so here you go guys the first question of the centre mark first you know first session of our first session of this session is this which of the following is not a composite number by the way there could be many many you know more than one correct also so hence this is not a regular mcq so please so once again which of the following yes so i'm sunaina here i can't see your screen well uh sunaina you have to just re-log in here there's you know um you have to just re-log in and come back you know so no problem we'll wait come on just re-log in because it happens because of fluctuating internet okay yeah so which of the following is not a composite number guys so what is your answer so there are multiple all are not not a composite number all are not a composite number okay a b c d okay all many many of you so hence your answer has to be one a b c d like that so don't say all in all whatever whatever is the uh the answer is as in you know which whichever combination you feel you'll just write one a b c d one a b c one b c d whatever no other comment okay okay now so answer i will discuss later and then we'll you know your view first register your answer post that i will discuss the problem so all registered done so whenever i say done so i will write done and after that that will not be registered okay so you i'm giving you one more minute register all your answers once you register i will say done and then that will not be registered so hence okay so still people are writing okay okay okay now anyways now i will say done so one is done after that uh no answer will be registered okay done so one is done okay now see the answer is so answer is which of the following is not a composite number so zero and one are definitely not a composite number they are not neither composite nor prime so but then they definitely satisfy the um you know criteria that they are not composite number so zero is not definitely one is not definitely because one is neither composite nor prime two is prime three is prime so none of them are composite numbers so those who have said all a b c d okay yep so you understood so this is from your eighth grade or maybe you know before that also right so the first answer is all are not composite okay next which of the following is not a prime number so which of the following is not a prime number again it could be more than one correct okay so hence choose your options very very carefully choose your options very very carefully which of them is not a prime number okay so hence yeah register your register your now there are so many people so hence i will not be able to do it online so for that we have to activate our online uh little board thing but never mind so yes yes so i'm now saying all of you have registered so two is done okay so two done now after that no more registrations okay so which of the following is not a prime number is zero or prime guys what is the prime number what is the prime number a prime number first of all has to be a natural number so zero is out of that boundary so zero is not a prime number for sure one is not a prime number for sure why because the definition of prime number says there has to be two factors one the number one itself and factor and the number itself right so zero and one zero and one doesn't fit into that criteria so rule out two definitely all of you know is the lowest possible prime number so two is definitely a prime and ten is not a prime it's a composite because there are factors one two five and ten yes guys those who have kept your mic on mute please try to put it on mute always on mute okay yes now is it okay so very good question number two is done i hope all of you have done correctly this is the third one so here is a different question maybe you have not seen this so take your time and answer which of the following oh sorry there's a there's a grammatical mistake so you just rule this out which of the following cannot be an even number cannot be an even number so take your time and then then right okay so many people are already responding there could be more than one correct so please take care that yep cannot be an even number so many people are around c and d so thankfully no one is saying a and b so they are very clear that a and b are not going to be an even number okay okay okay 30 seconds more 30 seconds more register your responses register your responses okay okay fair enough fair enough compulsory or chance did i didn't understand monisha what did you mean yes no in any case they should not be in any case that's what when we say cannot be so can it be or cannot you know it cannot be so it cannot be an even so you have to find out which which case it cannot ever be an even number okay guys so here your time ends and three is done right so there's a marker three is done now now your time is over guys it's next time always right first so you need to just register once your first response is anyways counted and even if you try to correct it that will not be counted you can you know type in your answer but hence hence i'm saying you have to be correct please be correct while you are now take your time no need to hurry so even if others are doing it fast no worries you take your time your idea should be get it correct first improve your accuracy will work on speed later on okay that's question number three for you next question number four which of the following is more than one maybe answers are more than one is correct more than one can also be correct which of the following is more than one oh so people are pretty smart in fast here that's really amazing that's really really amazing very good take 30 seconds 30 seconds more so this is a very simple answer so now you guys are warmed up i believe you should be able to now you know run okay very good so your 30 last 10 seconds so those who want to register you know all these questions will have catch guys so hence read the question very very carefully and then answer so which of the following is more than one okay okay fair enough so your question number four is now done okay so done question number four is done yes answer is 200 percent because 10 percent 50 percent 100 percent all are 100 percent is equal to one hundred upon 100 10 percent is you know it is 0.1 50 percent is 0.5 and 200 percent is more than one so it is two right this is two this is one this is one this is 0.5 and this is 0.1 fair enough so those who are mobby they are correct or did i discuss this question yes this question i did not discuss answer i will discuss now clearly this is not an even why because there is a factor of two you can take a two common and hence it is never ever even whatever is the value of n it will never be even sorry it will uh sorry it will always be an even i'm sorry it is always it is always an even always an even because it has a factor of two same logic here it is always an even right always and it is i've already stated that it is a positive integer if n was any other rational number or something like that then you would have questioned it but since n is the positive integer so 24 n plus 10 is always even now here is where the doubt comes right 29 and if you see i can take n come 29 common and i can write n plus 2 is it right 29 n plus 2 here is where the doubt arises this is certainly not even this is an odd number this odd number why because 10 multiplied by multiplied by any number is an even number 10 multiplied by any number is an even number and hence if you subtract one from it you will get an odd number correct but here if n is even let's say n itself is even for example if n is four right what will happen then the entire thing will become even right if n is odd n is odd let's say n is three then this becomes odd because then in that case it will be 29 into five odd so here there's a possibility of this being an even as well as an odd so hence i had asked cannot be an even but this can be even what is the condition n has to be n has to be even in that condition in that condition this will be an even number no i'm saying cannot be even number it it should not be an even number so there are cases where this will be an even number okay so hence answer is b okay fair enough next question number five ready question number five and here is the question so take your time don't you know get tempted and you know jump on to the conclusion take your time read the question carefully because there will be nuances in the question also okay here you go and always remember more than one can also be correct next question here is it here it is now if omega this sign is called omega if omega means per 500 it's not percent per 500 then which of the following is equal to 45 percent let me see who answers this first okay so sorry of answers there very good very good 30 seconds 30 more seconds to go okay very good very good all of you have to mention the number question number otherwise i will not be able to keep track okay very good very good very good so here is your time n so five is done right five done okay very good those who have said 225 omega is correct so answer is b 225 why because what is percent so 45 percent is 45 upon 100 and now you have to convert it into the base of 500 that is right the denominator is 500 per 500 you have to calculate correct so here you see the 100 is going to 500 how many times five times so similarly if you have to get a equivalent fraction you have to multiply five times 45 so five times 45 is 225 and hence this answer is correct very good can be right so hence you know and omega by the way is a greek letter greek greek letter okay greek letter later on you will see it will be yes yes resistance it will be good anush so later on it is going to be symbol for resistance okay question number five done good good good going good going guys next let's go to question number six number of integers between minus 129 upon 25 and plus 129 upon 25 are again read the question carefully all of you are wrong all of you are wrong so first answer comes from abhishek read the question carefully mihi card here question number six answer is so now you were learned what did you do wrong here all of you just blindly jumped on to the question thinking that it is a typical all of them are correct no okay so yeah in a way yes but then number of integers right you have to be the precise number right number of integers between right so here you understand you understand where you went wrong most of you when you said d you are you are accustomed of typical questions yes so hence now i'm saying question number six question number six is done and the answer is answer is 11 okay answer is 11 not minus 4 to 4 minus 5 to 5 right so this lie this answer like the concept of number line so you have a number line you have you might have studied this the questions will not be direct guys so hence you have to be ready so hence here is 0 minus 129 upon 25 or 129 upon 25 will be 5 point something for whatever it is it is greater than 5 right so here is 5 here is 129 by 5 25 whatever is the value i'm not interested and here is minus 5 and here is minus 129 upon 5 this is based on where are the number placed on the number line now between these two numbers how many integers are there guys minus 5 minus 4 minus 3 minus 2 minus 1 and then 1 and then 2 and then 3 and then 4 and then 5 so answer is 11 so hence most of you jumped onto this and then you got it wrong again again saying these questions will be not straightforward please read the question twice you know and then answer okay so here is next question take a deep breath calm calm down read the question and then go for it question number seven guys is here on your screen number of rational numbers between the same two numbers are read the options once i told you it could be more than one correct told you it could be more than one correct so hence read the answers also so don't just jump on 30 seconds more 15 more register your answer so once you have registered you're you're done i wish you can't change it even if you have enough patience to count you will not be able to count but you know because because it will never okay anyways i'll i'll i'll this i'll share the answer with you anyways so your time is up and question number seven is done okay seven is done answer infinitely many so most of you have correctly said it it is definitely fixed not fixed in number not fixed in number you can't really have a 2000 numbers between minus 129 and 20 you know all these two given numbers this is not there by because there are infinitely many points between any two points is it so if you if you see the number line this is zero so let's say this is minus 129 upon 25 and this is plus 129 upon 25 there are millions and billions and trillions of you know points between these two points a and b so you can't really count so hence many for sure but can be counted is wrong you can't count them limited but cannot be counted is also wrong there's no limited unlimited numbers right so infinitely many is the right answer okay so ready let's go to question number eight and now this is not an mcq you have to tell me the answer so we have to find out numbers which are equally spaced read the question equally spaced between five by nine and two by three you just not you can't just really put any five numbers that will be easy you have to give five numbers which are equally spaced so now the intensity of the questions will start increasing from here on so equally spaced is the catch please please take care of this i hope all of you are clear on what equally spaced is equally spaced is this that if you have two numbers here and here the five numbers which you are going to put should be equally placed like that the distance between all of them should be equal okay so this must be equal to this must be equal to this must be equal to like that so here i have shown five you have to insert yes you have to get five numbers i hear i've shown four one two three and four so these are the two numbers a and b you have to insert only one anuya five five you have to so here is the first fifty one fifty two fifty three fifty four fifty five by ninety okay so this is one answer i'm getting okay so krishna is saying something and that looks interesting so okay good very good very good okay and there are lots of people arushi also is coming with thirty one by fifty four so lots of people are six by nine seven by nine eight by nine ten by nine eleven by nine no sorry that's wrong nikita okay fifty one by ninety fifty two by ninety all of them are doing like that okay so two types of answers are coming thirty by fifty four i think thirty by fifty four will not be included because thirty by fifty four itself is five by nine okay good so lots of people have seventeen by thirty looks a little okay we'll see okay so fair enough all of you have done it all of you've done it if anyone has any answer please register please register okay so lots of people are saying fifty one by ninety fifty two by ninety and all that okay okay now fair enough thank you thank you so here you go yes yes now so question number what was that eight eight is all done all of you have done yes eight is now done over okay no more answering no more answering okay thanks so guys hence i told you equally spaced is very important that means whatever you are saying so one definitely you know one answer definitely is the minimum possible answer is whatever many people have said thirty one by fifty four and all that that looks correct why and how to solve this so uh five by nine and two by three so first of all make the denominator common it will be six upon nine is it correct so five by nine and six upon nine right so the two numbers are five by nine and six by nine right now you have to insert how many five numbers five numbers between them whenever such thing happens what you do is you simply multiply the denominator by five plus one or whatever is the number of numbers you have to insert multiply that by five plus ones right so hence you have multiplied both numerator and denominator so if you multiply denominator you'll get fifty four and if you multiply the this thing numerator you'll get thirty at one end and here if you see if you do the same thing it will become thirty six and fifty four so those who are saying about fifty fifty one by ninety and all that they are not equally spaced they are definitely between the two numbers that is five by nine and two by three but they are not equally spaced equally spaced means the gap between the numbers should be same should be same okay so I have to insert five so just let me say or let me take this number thirty six by fifty four little little you know away so thirty six by fifty four and I have to find one two three four five clearly if you see now it's very very obvious that thirty one upon fifty four is one away right one unit thirty two upon fifty four thirty three upon fifty four and thirty four upon fifty four and thirty five upon fifty four all of them are equally spaced isn't it the gap between each one of each each each gap is equal to one upon fifty four each gap is one upon fifty four long one upon fifty four long one upon fifty four long so hence that was the question that was the question so any other thing will not satisfy the only thing you can otherwise do what I've done is you can you know increase the denominator equally so let's say if you double it yes you have to I'm saying these are this is the you know this is a starting point and yes Mika you have to reduce it into the the simplest form but then the many of them who are you know so the first number has to be thirty one by fifty four right okay and then so these are the numbers you can simplify them to get the simplest form okay is that okay so hence other answers will not be correct other set of answers let's say if you don't want these kind of numbers you want another set you could have simply doubled the denominator to let's say 108 so what would happen this will become 60 and here this will become 72 upon 108 now you can have a gap of two yes you can yes you can definitely you can Sunaina no problems in that but then you have to have the now if you see this will be 62 upon 108 then 64 upon 108 then 66 upon 108 then 68 upon 108 then 70 upon 108 all of them are again equally faced see the criteria was this you can make the denominator or whatever you want but the criteria has to be fulfilled equally faced is that okay so this was question number eight guys let's go to question number nine which one the following is always true so let me highlight because you guys are reading the question very very superficially so hence always true for two numbers a and b where a is greater than b the idea of variety of answers are coming depends on a and b oh my god okay now there was a there was a catch here and okay two are true okay okay take your time take your time and a c a okay okay so here is your so last 15 seconds register your answers register your answers nine a okay so here is your time up and i am writing time up nine is done nine is done okay nine is done a greater than b yes so clearly first two options are ruled out if you didn't notice first two options are not correct yes now season is saying man now a is not greater than b a sorry a is greater than b so how can this be true not true because it says b is greater than something which is greater than a right so this is not true is that true then this is not true this cannot be a is a is given to be greater than b it is not equal to be in any case so this is also not true this is also not true now if a is greater than b then can a be greater than a plus b by two so can this be possible all but then this is the question was always true always true okay what if a is one b is zero then it is true for this one let's say what is any any this you know one number any one number uh yeah so that's what the question was right so hence for the third one if a is let's say one and b is zero there is no mention whether it is a positive quantity non-zero quantity or whatever so i can take whatever right a one b zero only criteria should be a should be greater than b correct and it is satisfying and if i somehow prove that this is this doesn't work so you know so hence yes so now that that was a catch so none of them so this is definitely not correct why because this will be false zero is not greater than one by two so this is definitely not always true so all these are ruled out now can it depend on a and b can can i do something where where a being greater than b can become let's say b can become greater than a plus b by two this is also not possible ever not possible you know how is how is that not possible right now you can take some values and see but this is algebraically provable that is not possible so if the number is negative that's that's something interesting okay okay if the number is negative which number so both the numbers are negative how does it how does it matter because you know we have a greater than b so there also one is greater than b so b will never be greater than a plus so okay so let's say c is greater than c here now see the proof b is greater than a by two plus b by two i can write that on the right hand side now if you if you take this b by two here on the left hand side what will it become it will become b by two is greater than a by two isn't it b by two is greater than a by two that means b is greater than a which is false which is false because a was greater than b right so this will always be right so it will not depend on a and b either so hence none was correct so I was just trying to see whether you actually so this is a welcome to the another welcome to this world especially those who are going to write olympiads and all please be mindful there could be a question which doesn't have a right answer or they it might not be correct so even if you prove that it is not correct prove that the statement is wrong even if you are asked to prove the otherwise you will be rewarded or awarded with relevant or you know reasonable amount of marks so hence come out of the mode of that everything has to be so hence challenge each and everything whatever is coming your way okay ready for the next question ready give me a thumbs up all of you we are halfway down very good very good let's go to question number 10 guys yeah now what oh sorry this is the same question sorry question of 11 yeah which of the following statements are true which of the following statements are true again read the care more than one could be correct so hence please please please read the question and then comment take your time read the questions correctly i i saw one one one okay now now i'm getting my answers very good very good very good this mb is not now after you take some time to actually settle down first you jump on to conclusion then you're taken so you now understanding your trend right so you have to control that now people are saying yep very good very good any others 10 15 15 more seconds guys 15 more seconds to go right write your answers write your answers quick quick quick quick quick last seven seconds and and and and and so done question number 11 is over so you can stop mentioning your 11 is done now if you see all of you started with all are correct which is a wrong option why because you rightly pointed out later on that this is not true this is not true because if you see you don't need to actually so those people who started calculating you should have acted smart what do you what do you need to do you just cover these three digits last three digits right right so it is approximately 18 upon 19 right it is definitely closer to 1 and 2.8 right 18 upon 19 so 19 times 9 if you see is 171 so that means 17 upon or 17.1 upon 19 is 0.9 guys and this number is on the right side of this 17.1 by 19 so how can it be closer to 0.8 it will be closer to 1 so you don't need to Bishop Jairaj don't do that please that's not allowed anything which is spamming is not allowed please let's maintain the protocols no spamming guys okay so this is this is untrue this is definitely true 11 by 19 you see you can see is closer to 0.6 because it's 0.57 approximately okay okay and hence one by six is closer to minus one very clear you can you know draw the number line and you can see this so this is zero this is two and this is minus one and where is one by six it is here so this is one so here 0.16 approximately that so clearly this gap is much more than this one so hence this is true so the answer is A and C right so those who have marked A and C is correct let's go to question number 12 read the question carefully again read at least twice enough and Shruti are standing on five by six that is that is the number line we're talking about number line they are standing on five by six point okay on a number line are enough jumps 5.5 units along the positive direction and Shruti jumps three units in the negative direction which of the following statement is or are true okay so people are writing there yeah very good come on come on come on come on okay so there are lots of similar answers nice to see that very good very good very very good very very good good so last 15 seconds to you 15 14 12 13 sorry then 12 11 10 9 8 7 6 5 4 3 2 1 and stop so here is question number 12 done okay no no one can wait yeah sorry next time so 12 is done no more answers and the answer to question number 12 is B and C okay so those who have got B and C so Shruti will not cross zero right so this is our you have to find out true statement this is false because Shruti will cross zero right so Shruti will definitely cross zero why because if you draw the number line again this is zero and someone started from fifth this is one or let me draw longer number line here okay this is zero this is one two three four five and then six like that and then minus one minus two minus three like that right so hence from zero and this is fifth of five by six this is five by six isn't it if this is one this is five by six so our nerve jumps five point five units so hence clearly if you add five point five to it it will cross five right and in fact it will cross six as well it will cross six as well so here is six it will cross six okay so Arnav will not cross six is false Shruti will now Shruti has taken three units jump right so hence from here so she will be somewhere here but the question is Shruti will not cross zero is wrong Arnav will not cross zero is is true because Arnav goes towards the right of zero Shruti will cross minus one is correct because she is crossing minus one and Arnav will not cross six is zero because he is crossing six so hence B and C are correct okay so B and C very good guys those who have responded time for question number 13 December representation of five times 23.5 percent is come on yeah so first answer is here Monisha is already Monisha is okay Harsh Rishabh good Tanvi Siddhan Janvi Hansika Pradyuman Tarun very good Krish very good Rishad Nitya everyone is writing very good this was an easy one now a new topic so hence easier one easier one very good very good last 15 seconds for all of you 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 and stop so here you go 13 is done right and the answer is answer is definitely D very good very good very good definitely a dy because five into 23.5 percent is 23 by 100 and this is nothing but if you do the calculations it becomes how much if you see 117.5 divided by 100 which is 1.17 good so question number 13 was easy question number 14 here is the question number 14 easy one quick one quick this could be done quick yes people are good at calculation so these are very easy ones easy one easy one easy one come on come on quick all of you must must register your answer must register your answer yes very good to see that all of you are participating so well really heartening heartening to say okay so 231 by 165 is the answer I know people are also saying a and all uh check again is it is clearly not less than one it is it is greater than one this is not true it cannot be less than one it is greater than one so so hence now your time's up and this is 14 done okay 14 is done right so clearly if you see this number 231 you don't need to calculate also you can figure out 231 and 165 very close numbers not that distant so 165 into 2 if you see is how much 330 right so not even twice right so this and clearly 231 is 165 so you know numerator is greater than denominator so these are ruled out anyways ruled out right and this is too bigger number why because if you it is greater than 10 isn't it and if you see it would be 231 if you see 1650 by 165 is 10 so definitely this is also ruled out because here instead of 1650 you had only 231 so you can eliminate also but otherwise the the formal ways you have to reduce how so 231 and 165 both are multiples of three if you see more are multiples of three as well as seven no not seven three for sure so if you see three seven and 21 is seven and there it is three five and five and then 11 so seven upon five and seven upon five is clearly 1.4 so other way also you could have done this right so 14 oh I didn't yeah anyways so now question number 15 to all of you here is the question now don't get intimidated by the numbers which are there Sunaina so you have to be so all these sessions are to make you aware of your you know aware of your mistakes so that's the that's the only there is no competition no you know the intention is not to let you compete and come first and second all that is okay but the major intention is that all of you should be careful should be aware should be able to read questions properly and know where you make mistakes right so now the answers are one upon yeah 15 15 which of the following will have terminate terminating right it should end it should end yeah it should terminate which of the following will have terminating decimal representation 15 question number 15 and I told you more than one can be correct so so so no you can't take Monisha sorry next time right so it's it's that's that's the message guys when you are answering be careful when you're answering be careful read the question read the options all the options see and the advantage of mcq is definitely that you know when it is only one correct then it becomes much easier but exams like jay advance are notorious for giving you multiple choice answers so more than one could be correct so you please get accustomed to this kind of testing right so hence don't let anything go without checking okay okay okay okay now your time stops here so hence you have now 15 done okay so I'm writing I'm writing 15 15 done right 15 done 15 is done okay so now answer those you know we have actually you know you know that yeah guys now pay attention to the solution answer is these three one two three they have terminating decimal representation terminal decimal not D not D D is not why the presence of three is creating the trouble yeah so you know that any number of the form of one upon two to the power m and five to the power n correct yes correct me Sean so you have discussed this kind of a number always will have terminating representation terminating decimal terminating decimal okay why because they will you know you can complete the powers of 10 year and you'll get a decimal representation so if you see terminating this this is power of five so you know only five is there I think one two so if you if you take this denominator what is that that is three one two five right this number is five into three one two five actually this is 625 is five to the power four so five and six this is five to the power six if you see isn't it check five to the power six isn't it five to the power six is how much is it yes no five into five into five into five into five into five into five into five into five yes this is five in five to the power six so ends five to the power six can be written as two to the power zero into five to the power six so it fulfills this condition and n this is not terminating decimal similarly here 4250 can be written as as 6250 can be written as 3125 into 2 which is 5 to the power 5 into 2 again this form so hence this will also have a terminating decimal this will also have a terminating decimal and this so anyways is given in that form 2 to the power something 5 to the power something okay so this is also terminating but this has a 3 in it so not a terminating right clear to everyone yeah sorry no problem Rishabh next time guys no problem don't get disheartened lots of questions next question number 16 now you have done this already very very simple straight forward quick five second answer five second answer less than that yes very good very good quick yep five second answer right this is there is no big deal very easy very very easy very very easy come on so I give only 15 seconds for this because it's very very easy problem so 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 stop and answer is or let's say this is done 16 16 done 16 no problem you just see even if you're facing lag no what you do is type you will not be able to see it type and just push it will come as a record it don't worry it happens at times it happens at times see you know so you know there's lots of classes go on family so it happens at 10 don't worry when you are not able to see anything just type and press enter it will get recorded it will you know come at the same time don't worry okay fair enough so answer is answer is answer is this answer is answer is 31 upon 99 and why is that we have learned it already that this particular number is 0.315 pure form guys mute mute mute mute always mute once Mike is unmuted yeah anyways so 0.31 bar this is direct method is how to do that remove the decimal and write the number 31 and then in the denominator write as many nines as many were the repeating digits so your number of repeating digits are 2 so I will write so like that right and you know that if it was 0.41 bar what will this be 0.41 bar is 0.41 bar is what is this answer 41 by 99 very good just remove the decimal count the number of repeating digits and so 313 decimal bar is how much 313 decimal yeah 313 by 999 very good intelligent lot right very good you know this already okay here comes the 17th question 17th this is none question number 17th okay okay let's try it right keep on keep answering all of you put forth your answers no worries okay all of you saying a someone is saying see someone is in none no one is saying D no one is even talking about D okay now 17 a 17 a 18 no okay okay so now last 10 seconds 10 9 8 7 5 4 3 1 0 no worries whether you could answer or not no worries it's for learning guys no worries don't worry about whether you could type the answer or not okay stop each time no problem no problem are we will take care don't worry so forget about she keep the technical things aside okay don't worry guys it happens because lots of you lot of you are there so hence it will happen it will settle down don't worry now focus here now no more no more answering no more answering stop you can stop now okay now listen to the you know the solution or let's discuss the solution now here here all of you yeah tell me whether you know it's a it's a rational number or is irrational number if it is rational say r if it is irrational say I rational or irrational it's a it's a rational number it's a very much rational number because it is 3123 3123 3123 is repeating so it's actually 0.3123 bar okay it's actually 3123 bar it's a rush very much a rational number and we know that to convert this into a p by q form you have to simply count the number of 9s how many digits are there four digits after that symbol which are repeating so this is the thing so clearly this is true p by q form I said right p by q form so this is also true but then then I have not mentioned here that p by q gcd has to be one and all that right and yes if you reduce it it will also come down to this okay so this also is correct this also is correct if it was mentioned reducing simplest form simplest form then then this would be correct right so p by q p there's no mention of what is p and q right yes lowest is the but this is also correct but this certainly is not correct certainly is not correct because there is one nine missing over here and then here it has been you know reduced or one factor of three has been reduced but that three factor of three has not been taken out from this okay okay okay so last question of the evening I had few more but never mind last question of the evening 18 which of the following is a mixed repeating decimal form okay okay okay okay okay 18 18 18 18 forget about lag Rishabh just write the answer and click enter it we come to us anyways we are receiving the answers don't worry you might not be seeing that in your chat box but we are receiving the you know we are receiving in one second we are receiving some 10 15 answers okay what happened just a minute just a minute guys nothing nothing just stop no I didn't stop anyway just a minute nothing it just happened I think that stops stop this thing is still on start piece the screen no guys system is not crash relax relax relax anyway your time of responding to the question was getting ended so yes it's pretty visible pretty visible yes guys so time is there he's not speaking only relax relax please be prepared for the physics round day after tomorrow okay yeah he's not speaking relax make our best of luck for you sound is not coming to show us okay guys I am addressing to you on behalf of the shark whatever might be the reason this is uncle you'll hear the same voice on Thursday at similar timings good night keep yourself safe stay in home okay so bye bye good night good night good night please