HCF LCM_7

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00:00:00you
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00:00:46by rather rather rather rather Sabir over Korat a rather high
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00:01:13Sir, yesterday there was no class, yesterday I was going to take the class, but the 3 million subscribers of our Rankest Gurukul family have been completed and there was a small celebration of it, so that's why I had to cancel the class yesterday.
00:01:29Earlier we said that the whole program will be over by 7 o'clock, but the program started at 7 o'clock and went from 7 o'clock to 8 o'clock, so that's why my brother had to cancel the class yesterday.
00:01:45Congratulations to all of you, congratulations to all of you, congratulations to all of you, congratulations to all of you, congratulations to all of you, congratulations to all of you, congratulations to all of you, congratulations to all of you, congratulations to all of you, congratulations to all of you, congratulations to all of you, congratulations to all of you, congratulations to all of you, congratulations to all of you, congratulations to all of you, congratulations to all of you, congratulations to all of you, congratulations to all of you, congratulations to all of you, congratulations to all of you, congratulations to all of you, congratulations to all of you, congratulations to all of you, congratulations to all of you, congratulations to all of you, congratulations to all of you, congratulations to all of you, congratulations to all of you, congratulations to all of you, congratulations to all of you, congratulations to all of you, congratulations to all of you, congratulations to all of you, congratulations to all of you, congratulations to all of you, congratulations to all of you, congratulations to all of you, congratulations
00:02:15to all of you, congratulations to all of you, congratulations to all of you, congratulations
00:02:45to all of you, congratulations to all of you, congratulations to all of you, congratulations
00:03:15to all of you, congratulations to all of you, congratulations to all of you, congratulations
00:03:45to all of you, congratulations to all of you, congratulations to all of you, congratulations
00:04:15So, when everyone's remainder is same,
00:04:18then two cases are formed.
00:04:20Case no.1, either the remainder is given.
00:04:22So, if the remainder is given here,
00:04:25then what do we do here?
00:04:27We minus it from the number here.
00:04:29For example, we minus it from here,
00:04:31minus it from here, minus it from here,
00:04:33minus it from here, and then take the HCF.
00:04:35And if the remainder is not given,
00:04:38then we quietly take these numbers
00:04:40and get their HCF.
00:04:42And who do we take them from?
00:04:43We take them from the difference method.
00:04:45So, this is 7897.
00:04:47After that, this is 8110.
00:04:49And after that, my brother,
00:04:51this is 8536.
00:04:53And from the difference method,
00:04:54take the difference of everyone.
00:04:55So, if you take the difference of this,
00:04:57then what will be the difference?
00:04:58103 and 110.
00:05:00My brother, what will be 200?
00:05:01It will be 213.
00:05:03Did you understand?
00:05:05103 from here and 110 from here.
00:05:07So, it is 213.
00:05:08If you see their difference,
00:05:10then it will be 426.
00:05:12After that, if you see their difference,
00:05:14then it will be 213.
00:05:15Now, this number 213,
00:05:17it divides this also,
00:05:19and it divides this also.
00:05:21This means, if we talk here,
00:05:23then the x that we were looking for,
00:05:25that what should be the number from x
00:05:27which gives the remainder
00:05:28when dividing everyone,
00:05:29then the value of x has come out to be 213.
00:05:32If you do not believe,
00:05:33then divide this from 213.
00:05:35See, the remainder that will come,
00:05:36divide it by this,
00:05:37the same remainder will come.
00:05:38Divide it by this,
00:05:39the same remainder will come.
00:05:40That is, whenever we are looking for x here,
00:05:42we are looking for the largest number,
00:05:45that what will be the number here,
00:05:47which if we divide everyone,
00:05:49then the same remainder will come.
00:05:51So, that number is always hcf.
00:05:54Whose?
00:05:55So, their difference.
00:05:57So, we took out their difference,
00:05:59and its hcf became 213.
00:06:02But, in the question,
00:06:03the value of x has not been asked.
00:06:04The sum of digits of x has been asked.
00:06:06So, the sum of digits,
00:06:08the sum of numbers,
00:06:10how much will we have here?
00:06:12So, 2 plus 1 plus 3,
00:06:13that is, we will have 6.
00:06:15Which option is there?
00:06:16So, 6.
00:06:17Which option is there?
00:06:18So, the option number is here.
00:06:201 is our correct answer.
00:06:22So, this small thing,
00:06:23my brother,
00:06:24I had to take you in mind.
00:06:26Sir, whenever we have to find
00:06:27the largest number,
00:06:29then we take the hcf of their difference.
00:06:31End of discussion.
00:06:32Okay, let's go.
00:06:34See the next question here.
00:06:35In the same way,
00:06:36you have been told here.
00:06:38And what was said?
00:06:39When we divide this number,
00:06:40this number,
00:06:41and this number,
00:06:42with a certain 3-digit number,
00:06:44then the remainder
00:06:45in every case,
00:06:46my brother,
00:06:47is the same here.
00:06:48So, now here,
00:06:49that number has not been asked,
00:06:50that remainder has been asked.
00:06:51That number has not been asked,
00:06:52my brother.
00:06:53What has been asked?
00:06:54So, the remainder has been asked.
00:06:55So, we said,
00:06:56okay, let's run and see.
00:06:58So, here also the same,
00:06:59my brother,
00:07:00what is to be applied?
00:07:01So, here you will take it out
00:07:02from the difference method.
00:07:03So, if you take it out from the difference method,
00:07:04then what will you say here?
00:07:05Then you will say
00:07:06Sir, see, it is 2,
00:07:07it is 3,
00:07:08it is 8,
00:07:09it is 8.
00:07:10This is the first number.
00:07:11It is 4,
00:07:12it is 3,
00:07:13it is 0,
00:07:14it is 9,
00:07:15it is the second number,
00:07:16it is 8,
00:07:17it is 1,
00:07:18it is 5,
00:07:19it is 1,
00:07:20it is the third number.
00:07:21If we take the difference here,
00:07:22then how much will the difference
00:07:23here be?
00:07:24So, if we talk about the difference,
00:07:25my brother,
00:07:26then it will be 1921.
00:07:27How much will it be?
00:07:28It will be 1921.
00:07:29Now, take out the difference
00:07:30and see.
00:07:31You take the difference of these,
00:07:32my brother,
00:07:33here it is 11 to 9,
00:07:34and here my brother has come to 4
00:07:37ok
00:07:38no problem
00:07:4011 to 3 is 8 and 7 to 4
00:07:42if you see their difference
00:07:44then it will be 1921
00:07:46now in question it is said
00:07:48that the number which is divided
00:07:50is done with the number of 3 numbers
00:07:52certain 3 digit number
00:07:54ok here
00:07:56the number which is divided is with 3 digit number
00:07:58if here I take the value of x
00:08:00here
00:08:02that this is the number which is dividing
00:08:04this and this and this
00:08:06and giving the same remainder
00:08:08then here we will be wrong
00:08:10why we will be wrong because our examiner
00:08:12has said that certain 3 digit number
00:08:14it should be a 3 digit number
00:08:16so it is not a 3 digit number from any angle
00:08:18so it is not a 3 digit number
00:08:20my brother
00:08:22so it means this is not the answer
00:08:24it will have some factor answer
00:08:26so it can be divided by 2, no
00:08:28it can be divided by 3, so you will say
00:08:30it can't be divided by 3
00:08:32after that the next prime number is 7
00:08:342 times 7 is 14
00:08:36and my brother
00:08:3852 will not be from 7
00:08:40after 7 if you see 11
00:08:423 and 10 will not be from 11
00:08:44if we see from 13
00:08:4652 will not be from 13
00:08:48after that my brother
00:08:50if we see from 17
00:08:52it will be from 17
00:08:54so if we divide it by 17
00:08:56so 17 times 1 is 17
00:08:58then 20 is here
00:09:00then 17 times 1 is 17
00:09:0251 is here
00:09:04so it means this is 3 digit or this is 3 digit
00:09:06so it means here it is fixed
00:09:08that x value will not be this
00:09:10x value will be this
00:09:12so many times what happens
00:09:14examiner himself is giving hint
00:09:16who you have to take as divisor
00:09:18if he will not give hint
00:09:20if he will not tell here
00:09:22whose value to take in divisor
00:09:24then you will never be able to get the remainder
00:09:26so to get the remainder
00:09:28it is important to know the correct divisor
00:09:30so here my brother
00:09:32it will not be answer
00:09:34it will be factor
00:09:36it will be 113
00:09:38it will be the biggest number
00:09:40after this also it is not like this
00:09:42after this also there will be many 3 digit numbers
00:09:44but they will be smaller than this
00:09:46and whenever we search
00:09:48here this word is given
00:09:50if it is not written here
00:09:52then you should write
00:09:54greatest 3 digit number
00:09:56instead of certain
00:09:58you can use maximum 3 digit number
00:10:00that is
00:10:02we will divide it with maximum 3 digit number
00:10:04and after that
00:10:06we will get the remainder
00:10:08after that whatever 3 digit number will come
00:10:10it will be smaller than this
00:10:12although it is not possible
00:10:14but still I am telling
00:10:16there is no other 3 digit number
00:10:18but still I am telling
00:10:20now this will be the number
00:10:22so if we divide this
00:10:24and this
00:10:26then we will get the same number
00:10:28so if this is asked in the question
00:10:30then this is the number
00:10:32and if this is asked in the question
00:10:34then take any one of these
00:10:36and divide it
00:10:38so here basically
00:10:40we got 2388
00:10:42we will divide it with 113
00:10:44and we will get
00:10:46226
00:10:48this is the answer
00:10:50ok
00:10:528 to 6 is correct
00:10:54then 113 to 1
00:10:56will be 113
00:10:58and here we will get 15 answer
00:11:00so remainder will be 15
00:11:02so in such questions
00:11:04two types of questions are asked
00:11:06and again I am putting
00:11:08this thing in your mind
00:11:10either your divisor is asked
00:11:12or remainder is asked
00:11:14if divisor is asked
00:11:16that what is the number
00:11:18and same remainder is coming
00:11:20so if divisor is asked
00:11:22then take their difference
00:11:24and understand that
00:11:26either it is a number or a factor
00:11:28and how to know
00:11:30whether to take this or that
00:11:32that will be given in the question
00:11:34if in the question
00:11:36there is no 3 digit number
00:11:38then we take 1921
00:11:40but it said 3 digit number
00:11:42this was not 3 digit number
00:11:44so we divided it in factors
00:11:461, 2, 3, 4
00:11:48while dividing
00:11:50I saw that it is
00:11:52dividing with 17
00:11:54in 113
00:11:56apart from this
00:11:58it will not divide with any other number
00:12:0018, 19, 20, 21, 22
00:12:02it will not divide with any other number
00:12:04it will divide with 17 and 113
00:12:06if it said 2 digit number
00:12:08then we take 17
00:12:10if it said 3 digit number
00:12:12then we take 113
00:12:14if it said
00:12:16113
00:12:18if it said
00:12:203 digit number
00:12:22then we take 3 plus 1
00:12:244 plus 1
00:12:265
00:12:28if it said
00:12:30remainder
00:12:32then we take
00:12:34115
00:12:36so the question is
00:12:38what will be the number
00:12:40and what will be the remainder
00:12:42that's it
00:12:44now
00:12:46in this question
00:12:48in next year
00:12:50both were asked
00:12:52here
00:12:54x was also asked
00:12:56what will be the number
00:12:58and what will be the remainder
00:13:00and then
00:13:02both were asked
00:13:04when 1062, 1134, 1112
00:13:06are divided by the greatest number
00:13:08x
00:13:10here
00:13:12the greatest number
00:13:14x
00:13:24that means
00:13:26first i have to find divisor
00:13:28then remainder
00:13:30I have to find the tangent
00:13:32and then
00:13:34subtract the tangent
00:13:36so in one question
00:13:38Now how we will do it?
00:13:41Whenever we talk about dividing a number by the largest number
00:13:44then we solve it by HCF method
00:13:47and HCF is also a difference method
00:13:501062, 1134 and then what?
00:13:531182. If we talk about difference
00:13:56then their difference will be how much?
00:13:59If we talk about difference here then it will be 72
00:14:02If we talk about difference
00:14:05then it will be 72
00:14:08If we talk about difference here then it will be 12 to 4 will be 8
00:14:11and 7 to 3 will be 4
00:14:14If we talk about their difference
00:14:17then their difference will be 24
00:14:20That means this is the only number
00:14:23which is dividing this and this
00:14:26or it is giving same remainder
00:14:29to all of them.
00:14:32So now we will not divide it by factor
00:14:35because if we divide it by factor
00:14:382x12, 3x8, 4x6
00:14:41then all of them are small and only this one is big
00:14:44So if it is big then there is no need to divide it
00:14:47That means x is equal to
00:14:5024
00:14:53Now in question it is said
00:14:56that if you divide all these numbers by this
00:14:59then what will be the value?
00:15:02So here we said that this 1062
00:15:05we will divide it by 24
00:15:084 times of 24 will be 96
00:15:11after that 102 will come
00:15:144 times of 24 will be 96
00:15:17and 6 will come
00:15:20Now what will this do? It will do the work of y
00:15:23You have x and you have y
00:15:27Friends, whose value is to be told? x-y
00:15:30So x-y means
00:15:33this is your x
00:15:36and this is your y. See the difference
00:15:3918 will come. Which option will be there?
00:15:42Which option will be there?
00:15:45We have made you do all the questions in divisibility
00:15:48We are just doing the revision again
00:15:51so that you can revise again and your speed and confidence will increase
00:15:55Come see question number 58. All the questions are there
00:15:58It is said in the same way
00:16:01If r is the remainder when each of this is divided by greatest possible number d
00:16:04then here the sum is asked
00:16:07Here x-y was asked
00:16:10so here x plus y is asked
00:16:13that connect the divisor with the remainder
00:16:16So I think you will ask this question yourself
00:16:19and this question is your homework
00:16:23So see the topic of divisibility
00:16:26We have taught you in divisibility
00:16:29You can see it
00:16:32Although I have told this in divisibility
00:16:35But we want you to answer this question
00:16:38When this, this and this are divided by the greatest number m
00:16:41Remainder in each case is n. What is the value of it?
00:16:44We are giving you 2 minutes to answer this question
00:16:47and in 2 minutes you can make it
00:16:50Tell me the answer of each child
00:16:53Tell me the answer of each child
00:16:56Answer me
00:17:20Answer in 2 minutes
00:17:50Answer in 2 minutes
00:18:20You have 30 seconds left
00:18:23Do it quickly
00:18:26Do it quickly
00:18:29Do it quickly
00:18:50Do it quickly
00:18:53Do it quickly
00:19:01Do it quickly
00:19:04Do it quickly
00:19:07Now lets see the question
00:19:10So let me show you what is said
00:19:13Lets see the question
00:19:16Lets see it
00:19:19here it is said that when we divide this number, this number and this number by the largest number m
00:19:24so you know that to find out the value of m we have to use the difference method
00:19:29so here it is 4546
00:19:32then here it is 5398
00:19:36and then here it is 6889
00:19:42so these are the three numbers
00:19:45and we divide them by the largest number m
00:19:48so how do we find out the value of m when we divide it by the largest number m
00:19:52so to find out the value of m we will apply which method
00:19:56so here we will use the difference method to find out the value of hcf
00:19:59if you apply the difference method here
00:20:02so here you will get 8-6-2
00:20:059-4-5
00:20:08and 13-5-8
00:20:11that's it
00:20:12apply the difference method here 9-8-1
00:20:1518-9-9
00:20:177-3-4
00:20:19nothing else will be left
00:20:21if it is 6-5 then you will get one more
00:20:25if you want to take the difference of 11-2 then you will get 9
00:20:29and 8-5 is 3
00:20:32and 14-8 is 6
00:20:35now here this number is not dividing this number
00:20:40and this number is not dividing this number
00:20:42so we have to break it
00:20:44understood
00:20:45many people think that it will be the value of m directly
00:20:48and this is their mistake
00:20:50whenever you want to find out the value of m
00:20:53so this divisor will be there
00:20:55if it is not dividing the difference
00:20:58then how will the remainder give the same value
00:21:02it is not possible
00:21:03it is not possible
00:21:06so we will break it
00:21:07and while breaking it we try not to divide it by the largest number
00:21:11we will divide it by the smallest number of 3
00:21:14so it can't be divided by 2
00:21:17so if it can't be divided by 2 then we will divide it by 3
00:21:21and if we will divide it by 3 then we will divide it by 2, 1, 3
00:21:25we try to divide it by the largest number
00:21:28so this is not big and this is big so we will divide it by this
00:21:31if it divides this and this
00:21:34then it is the same number
00:21:36it is the value of m
00:21:38and if it can't divide the difference of this
00:21:41then we will try to divide it by the largest number
00:21:43we will divide it by the largest number
00:21:46so you will say that
00:21:47200 is 4 times 8
00:21:4913 is 4 times 52
00:21:50it is completely dividing
00:21:51200 is 7 times 1400
00:21:5313 is 7 times 91
00:21:55it is the same number
00:21:56and which number is this?
00:21:58it is the number of m
00:22:00so it is said that when these numbers are divided by m
00:22:04then we get the remainder n
00:22:06so it is the number of m
00:22:08we divided it by m
00:22:09so who is that number?
00:22:10it is the number of m
00:22:11now after that
00:22:13if you are dividing it by m then you will get this
00:22:16take out the remainder
00:22:17so what did we say here?
00:22:18we said here 4, 5, 4, 6
00:22:21so whom do we have to divide here?
00:22:22we have to divide it by 213
00:22:24so if we will divide it by 2
00:22:26then it will become 446
00:22:2914 to 6 will become 8
00:22:31and this will become 86
00:22:34now you understand the thing
00:22:37we have written it correctly
00:22:39so you will say that 213 is 20 times 446
00:22:45and in total we have 86
00:22:47now the remainder that is left
00:22:49then whose work will it do?
00:22:50it will do the work of n
00:22:51whose work will it do?
00:22:53it will do the work of n
00:22:55now what is said in the question?
00:22:562m minus 3n
00:22:57so if it is said in the question
00:22:59and it is requested
00:23:00then we will do the same work
00:23:01it is said sir
00:23:02value of 2 into m
00:23:04so what is the value of m?
00:23:05it is 213
00:23:06and from that minus what to do?
00:23:08value of n
00:23:09and that is also 3 times n
00:23:10so what will be 3 into?
00:23:12it will become 86
00:23:13it is a very simple question
00:23:15it is 426
00:23:16and from that minus 3, 6, 18
00:23:188, 3, 24 and 25
00:23:2016 to 8 will become 8
00:23:2211 to 5 will become 6
00:23:24and this is 168
00:23:29did we give any option here?
00:23:33did we do any mistake here?
00:23:368, 3, 24
00:23:37so this is correct
00:23:40there has been a mistake
00:23:41the divide has been wrong sir
00:23:42let me see once
00:23:44we have written 45, 46
00:23:45for 213
00:23:46my brother here
00:23:483 into 2
00:23:49oh, oh, oh
00:23:50there is a problem
00:23:51there is a mess
00:23:51there is a lot of mess here
00:23:53there is a problem
00:23:53there is a problem
00:23:54there is a problem in the divide
00:23:56wait a second brother
00:23:57there is a problem in the divide
00:23:59ok
00:23:59how is there a problem in the divide?
00:24:01like if we do here earlier
00:24:03when we write the double of 213
00:24:05so this will become 426
00:24:07ok
00:24:0814 to 6 will become 8
00:24:104 to 2 will become 2
00:24:11this is over
00:24:12then after that
00:24:131 times of 213
00:24:14my brother here will be 213
00:24:16ok
00:24:17so here if we minus
00:24:18so this will become 3
00:24:19and 73
00:24:20this number of 73
00:24:22this will be left
00:24:24and whatever will be left
00:24:25that will work for us
00:24:26so it will work for n
00:24:28so in the answer
00:24:29my brother here
00:24:29according to the demand
00:24:30we have to go
00:24:31we have to double m
00:24:33and my brother
00:24:34we have to multiply n by 3
00:24:35so what will be the double of m?
00:24:37so we will say
00:24:382 times of 213
00:24:39you do here
00:24:40and after that
00:24:41multiply n by 3
00:24:42means 3 times of 73
00:24:44so if we see here
00:24:46so we will say
00:24:48this will become 426
00:24:50and this will become 219
00:24:52ok
00:24:53if we see here
00:24:54so how much will be the difference?
00:24:56it will be 207
00:24:57option number C
00:24:58this will be our correct answer
00:25:00so it was a normal question
00:25:02there was no problem here
00:25:03so what we have to find here
00:25:05that number
00:25:06which is dividing
00:25:08so we call it m
00:25:09and the second thing
00:25:10which we will find here
00:25:11is that
00:25:12remainder
00:25:13so if we talk about remainder
00:25:14so it will become our n
00:25:16and after solving in this way
00:25:18our option number C will remain here
00:25:20ok
00:25:21now see here
00:25:22what was said in question number 60
00:25:24read it
00:25:25it was said
00:25:26let the least number
00:25:27which when divided by this much
00:25:28leave the same remainder
00:25:29means
00:25:30let the least number
00:25:31which when
00:25:32divided by
00:25:334
00:25:346
00:25:3510
00:25:3615
00:25:37leaves in each case
00:25:38same remainder
00:25:39to be n
00:25:40the sum of digits
00:25:41n is
00:25:42I had told you
00:25:43that
00:25:44see there are two things
00:25:45one here is
00:25:46that number
00:25:47find it
00:25:48which is dividing
00:25:49everyone
00:25:50means
00:25:51at one place
00:25:52we find the divisor
00:25:53and at one place
00:25:54my brother
00:25:55here it is
00:25:56that find that number
00:25:57which after dividing
00:25:58by so and so
00:25:59so and so
00:26:00so and so
00:26:01numbers
00:26:02so and so
00:26:03so and so
00:26:04so and so
00:26:05so and so
00:26:06so and so
00:26:07so and so
00:26:08so and so
00:26:09so and so
00:26:10so and so
00:26:11so and so
00:26:12so and so
00:26:13so and so
00:26:14so and so
00:26:15so and so
00:26:16so and so
00:26:17so and so
00:26:18so and so
00:26:19so and so
00:26:20so and so
00:26:21so and so
00:26:22so and so
00:26:23so and so
00:26:24so and so
00:26:25so and so
00:26:26so and so
00:26:27so and so
00:26:28so and so
00:26:29so and so
00:26:30so and so
00:26:31so and so
00:26:32so and so
00:26:33so and so
00:26:34so and so
00:26:35so and so
00:26:36so and so
00:26:37so and so
00:26:38so and so
00:26:39so and so
00:26:40so and so
00:26:41so and so
00:26:42so and so
00:26:43so and so
00:26:44so and so
00:26:45so and so
00:26:46so and so
00:26:47so and so
00:26:48so and so
00:26:49so and so
00:26:50so and so
00:26:51so and so
00:26:52so and so
00:26:53so and so
00:26:54so and so
00:26:55so and so
00:26:56so and so
00:26:57so and so
00:26:58so and so
00:26:59so and so
00:27:00so and so
00:27:01so and so
00:27:02so and so
00:27:03so and so
00:27:04so and so
00:27:05so and so
00:27:06so and so
00:27:07so and so
00:27:08so and so
00:27:09so and so
00:27:10so and so
00:27:11so and so
00:27:12so and so
00:27:13so and so
00:27:14so and so
00:27:15so and so
00:27:16so and so
00:27:17so and so
00:27:18so and so
00:27:19so and so
00:27:20so and so
00:27:21so and so
00:27:22so and so
00:27:23so and so
00:27:24so and so
00:27:25so and so
00:27:26so and so
00:27:27so and so
00:27:28so and so
00:27:29so and so
00:27:30so and so
00:27:31so and so
00:27:32so and so
00:27:33so and so
00:27:34so and so
00:27:35so and so
00:27:36so and so
00:27:37so and so
00:27:38so and so
00:27:39so and so
00:27:40so and so
00:27:41so and so
00:27:42so and so
00:27:43so and so
00:27:44so and so
00:27:45so and so
00:27:46so and so
00:27:47so and so
00:27:48so and so
00:27:49so and so
00:27:50so and so
00:27:51so and so
00:27:52so and so
00:27:53so and so
00:27:54so and so
00:27:55so and so
00:27:56so and so
00:27:57so and so
00:27:58so and so
00:27:59so and so
00:28:00so and so
00:28:01so and so
00:28:02so and so
00:28:03so and so
00:28:04so and so
00:28:05so and so
00:28:06so and so
00:28:07so and so
00:28:08so and so
00:28:09so and so
00:28:10so and so
00:28:11so and so
00:28:12so and so
00:28:13so and so
00:28:14so and so
00:28:15so and so
00:28:16so and so
00:28:17so and so
00:28:18so and so
00:28:19so and so
00:28:20so and so
00:28:21so and so
00:28:22so and so
00:28:23so and so
00:28:24so and so
00:28:25so and so
00:28:26so and so
00:28:27so and so
00:28:28so and so
00:28:29so and so
00:28:30so and so
00:28:31so and so
00:28:32so and so
00:28:33so and so
00:28:34so and so
00:28:35so and so
00:28:36so and so
00:28:37so and so
00:28:38so and so
00:28:39so and so
00:28:40so and so
00:28:41so and so
00:28:42so and so
00:28:43so and so
00:28:44so and so
00:28:45so and so
00:28:46so and so
00:28:47so and so
00:28:48so and so
00:28:49so and so
00:28:50so and so
00:28:51so and so
00:28:52so and so
00:28:53so and so
00:28:54so and so
00:28:55so and so
00:28:56so and so
00:28:57so and so
00:28:58so and so
00:28:59so and so
00:29:00so and so
00:29:01so and so
00:29:02so and so
00:29:03so and so
00:29:04so and so
00:29:05so and so
00:29:06so and so
00:29:07so and so
00:29:08so and so
00:29:09so and so
00:29:10so and so
00:29:11so and so
00:29:12so and so
00:29:13so and so
00:29:14so and so
00:29:15so and so
00:29:16so and so
00:29:17so and so
00:29:18so and so
00:29:19so and so
00:29:20so and so
00:29:21so and so
00:29:22so and so
00:29:23so and so
00:29:24so and so
00:29:25so and so
00:29:26so and so
00:29:27so and so
00:29:28so and so
00:29:29so and so
00:29:30so and so
00:29:31so and so
00:29:32so and so
00:29:33so and so
00:29:34so and so
00:29:35so and so
00:29:36so and so
00:29:37so and so
00:29:38so and so
00:29:39so and so
00:29:40so and so
00:29:41so and so
00:29:42so and so
00:29:43so and so
00:29:44so and so
00:29:45so and so
00:29:46so and so
00:29:47so and so
00:29:48so and so
00:29:49so and so
00:29:50so and so
00:29:51so and so
00:29:52so and so
00:29:53so and so
00:29:54so and so
00:29:55so and so
00:29:56so and so
00:29:57so and so
00:29:58so and so
00:29:59so and so
00:30:00so and so
00:30:01so and so
00:30:02so and so
00:30:03so and so
00:30:04so and so
00:30:05so and so
00:30:06so and so
00:30:07so and so
00:30:08so and so
00:30:09so and so
00:30:10so and so
00:30:11so and so
00:30:12so and so
00:30:13so and so
00:30:14so and so
00:30:15so and so
00:30:16so and so
00:30:17so and so
00:30:18so and so
00:30:19so and so
00:30:20so and so
00:30:21so and so
00:30:22so and so
00:30:23so and so
00:30:24so and so
00:30:25so and so
00:30:26so and so
00:30:27so and so
00:30:28so and so
00:30:29so and so
00:30:30so and so
00:30:31so and so
00:30:32so and so
00:30:33so and so
00:30:34so and so
00:30:35so and so
00:30:36so and so
00:30:37so and so
00:30:38so and so
00:30:39so and so
00:30:40so and so
00:30:41so and so
00:30:42so and so
00:30:43so and so
00:30:44so and so
00:30:45so and so
00:30:46so and so
00:30:47so and so
00:30:48so and so
00:30:49so and so
00:30:50so and so
00:30:51so and so
00:30:52so and so
00:30:53so and so
00:30:54so and so
00:30:55so and so
00:30:56so and so
00:30:57so and so
00:30:58so and so
00:30:59so and so
00:31:00so and so
00:31:01so and so
00:31:02so and so
00:31:03so and so
00:31:04so and so
00:31:05so and so
00:31:06so and so
00:31:07so and so
00:31:08so and so
00:31:09so and so
00:31:10so and so
00:31:11so and so
00:31:12so and so
00:31:13so and so
00:31:14so and so
00:31:15so and so
00:31:16so and so
00:31:17so and so
00:31:18so and so
00:31:19so and so
00:31:20so and so
00:31:21so and so
00:31:22so and so
00:31:23so and so
00:31:24so and so
00:31:25so and so
00:31:26so and so
00:31:27so and so
00:31:28so and so
00:31:29so and so
00:31:30so and so
00:31:31so and so
00:31:32so and so
00:31:33so and so
00:31:34so and so
00:31:35so and so
00:31:36so and so
00:31:37so and so
00:31:38so and so
00:31:39so and so
00:31:40so and so
00:31:41so and so
00:31:42so and so
00:31:43so and so
00:31:44so and so
00:31:45so and so
00:31:46so and so
00:31:47so and so
00:31:48so and so
00:31:49so and so
00:31:50so and so
00:31:51so and so
00:31:52so and so
00:31:53so and so
00:31:54so and so
00:31:55so and so
00:31:56so and so
00:31:57so and so
00:31:58so and so
00:31:59so and so
00:32:00so and so
00:32:01so and so
00:32:02so and so
00:32:03so and so
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00:32:05so and so
00:32:06so and so
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00:32:11so and so
00:32:12so and so
00:32:13so and so
00:32:14so and so
00:32:15so and so
00:32:16so and so
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00:32:18so and so
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00:32:20so and so
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00:32:24so and so
00:32:25so and so
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00:32:27so and so
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00:32:30so and so
00:32:31so and so
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00:32:37so and so
00:32:38so and so
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00:32:40so and so
00:32:41so and so
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00:32:43so and so
00:32:44so and so
00:32:45so and so
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00:32:47so and so
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00:32:50so and so
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00:32:55so and so
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00:32:57so and so
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00:33:00so and so
00:33:01so and so
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00:33:04so and so
00:33:05so and so
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00:33:09so and so
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00:33:11so and so
00:33:12so and so
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00:33:21so and so
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00:33:27so and so
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00:33:29so and so
00:33:30so and so
00:33:31so and so
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00:33:34so and so
00:33:35so and so
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00:33:40so and so
00:33:41so and so
00:33:42so and so
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00:33:45so and so
00:33:46so and so
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00:33:50so and so
00:33:51so and so
00:33:52so and so
00:33:53so and so
00:33:54so and so
00:33:55so and so
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00:34:00so and so
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00:34:11so and so
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