• 2 months ago

Category

🐳
Animals
Transcript
00:00you
01:01Jai Hind friends. Welcome to your own family.
01:04How are you all? Tell me.
01:06Mishresh Ma, Shravan Kumar, Avinash Kumar, Prashant, Meena,
01:10Eritrea Ghose,
01:13Ayan Sarkar.
01:15How are you all? Tell me.
01:17Are you enjoying reading HCA Philosophy?
01:20Tell me.
01:22Good evening. Good evening. Good evening.
01:25Good evening. Good evening. Good evening to everyone.
01:27How are you all? Tell me.
01:29Good sir.
01:30It's good.
01:31It's enjoyable.
01:33Hello, brother. Hello, hello, hello.
01:36I am fine.
01:38Great!
01:39As you all know, in this HCA Philosophy series,
01:43the questions I have put up are of high level.
01:46And these questions of high level will take up a lot of your time.
01:51It will take some time for you to ask your questions.
01:54Okay?
01:55But once you learn all these questions,
01:58then you will be able to answer my questions very easily if you sit for any one day exam in India.
02:05Yesterday we got a comment from a student that Sir, I am enjoying a lot but it is taking time.
02:10If you think that it is not possible to get sweets in both hands at the same time,
02:16if you want to improve yourself then it takes time to get better.
02:20For example, when you ride a cycle, there is a big difference in learning in the first 2-20 days.
02:28It is the same thing if I finish a topic in 2 classes or 10 classes.
02:33It is obvious that the more time we give, the better you will get.
02:38So we don't have to take a lot of time.
02:40But yes, we have to take the right time for that topic.
02:45So that we can give you mastery over it and you can do the post-mortem of that topic in a good way.
02:54Aditya Raj asks, did you have a 4.30 class today?
02:57Yes, I had a 4.30 class today.
02:59Yes, I had a 4.30 class today.
03:01So let's move ahead and see the questions.
03:06Read what is said in the following questions.
03:09Read what is said in the following questions.
03:11Say something on NTA.
03:13See, I am making a video for NEET exam.
03:16And very soon you will get the video on my channel Aditya Ranjan Talks.
03:23So you must have seen my channel Aditya Ranjan Talks on YouTube.
03:28And there are a lot of motivational videos on it.
03:31So we are making a video on NEET on that channel.
03:34And you will get to see it soon.
03:37Sir, where should I give a mock test of maths?
03:39Sonia ji, we have not given a mock test of maths in your application.
03:43We have given a mock test of maths in your application.
03:47So why do you need to go somewhere else?
03:49You can apply a mock test of maths from your application.
03:52Do you understand?
03:54Ok.
03:56Ok.
03:58Very good.
04:00Very good.
04:02So let's move ahead and see all the questions.
04:07So we have done question no. 47.
04:09See what is said in question no. 48.
04:12In this question, it is said that the sum of LCM and HCF of two numbers is 4956.
04:19And this is the sum of LCM and HCF.
04:24Then it is said that those two numbers have the ratio 11 and 16.
04:28Then it is said that those two numbers have the ratio 11 and 16.
04:32So what is the difference between the LCM and HCF of a number?
04:35This is such a lovely question.
04:37This is such a lovely question.
04:39You can't even imagine it.
04:41You can't even imagine it.
04:43In this question, it is said that the sum of LCM and HCF of two numbers is 4956.
04:45In this question, it is said that the sum of LCM and HCF of two numbers is 4956.
04:47But the data is given by LCM and HCF.
04:49But the data is given by LCM and HCF.
04:51So how will we do it?
04:53So how will we do it?
04:55First, let's talk about two numbers.
04:57This is of 1.
04:59And this is of 2.
05:01The ratio between them is 11 and 16.
05:03The ratio between them is 11 and 16.
05:05So this value is 11x.
05:07And this respect to this border is 16x.
05:09So this ratio between them is 11x.
05:11Now I have to write LCM here.
05:13Now I have to write LCM here.
05:15Now I have to write LCM here.
05:17Which means what If we write GCMB diagram on two sides of board.
05:19which means what If we write RCMB diagram on two sides of board.
05:21No 7 staff will be gone.
05:23No staff will be gone.
05:25and 16
05:27you can take that
05:29so this will be 11 x 16
05:31will be 176
05:33and this is x, so this will be this
05:35so the lcm of these two numbers
05:37will be
05:39Khushi ji says
05:41I didn't understand, so you start
05:43I didn't even start teaching
05:45I didn't understand, this is amazing
05:47you have written a particular comment
05:49that I didn't understand
05:51and repeat
05:53and as soon as I start teaching
05:55I will delete it
05:57tell me what have you taught
05:59what have you written, I didn't understand
06:01tell me
06:03this is amazing
06:05it's a small thing
06:07in numbers it is said
06:09that in those numbers there are 11 and 16
06:11so take the first number as 11x
06:13and the second as 16
06:15if we talk about lcm
06:17what happens in lcm
06:19we take the common
06:21so this is lcm
06:23if we talk about hcf
06:25so in hcf we take only that number
06:27which is common in both
06:29so here
06:31who is common in both, so x
06:33so we will take x here
06:35this is highest common factor and this is lowest
06:37common factor, so if we
06:39talk about these two numbers
06:41so their lcm will be this much
06:43and their hcf will be
06:45x
06:47now what is said in question
06:49so in question it is said
06:51the sum of lcm and hcf is this much
06:53so if we see here
06:55so in lcm
06:57if we add hcf
06:59what will be the result
07:01so here 4, 9, 5, 6
07:03my brother will come
07:05now you know the value of lcm is this much
07:07and my brother
07:09value of hcf is this much
07:11however I will tell you in a small line
07:13there is no need to do so much drama
07:15my brother is not here
07:17I have always told you
07:19my brother that
07:21see here in question
07:23what is given to you and
07:25what is asked to you
07:27what is given to you and what is asked to you
07:29so if you see in question
07:31here 4, 9, 5, 6 is given
07:33this is one data
07:35so this is my brother 4, 9, 5, 6
07:37and whose value is this
07:39so you will say here
07:41this is sum and whose sum is this
07:43of lcm and hcf
07:45so this is sum of both
07:47so if you add this
07:49so what is the value of this
07:51value is 177x
07:53and what is asked to us
07:55so my brother here
07:57what is asked to us is very simple
07:59that what will be the difference
08:01between them
08:03so subtract 1 from 176
08:05so it will be 175
08:07so this much is asked
08:09so this is very simple
08:11many students are asking
08:13why did you take x
08:15my brother don't take
08:17if you don't take x
08:19things will be easier for you
08:21don't take x
08:23world will not change
08:25nothing will happen
08:27then your 1 will come
08:29so you will say
08:31176 plus 1 is 177
08:33and 176 minus 1
08:35is this much
08:37because in this way
08:39you are taking x
08:41so my brother what happens here
08:43whenever we change the ratio
08:45to variable
08:47we stick a value
08:49we stick a variable
08:51if it is 11 then we make it 11x
08:53if it is 16 then we make it this much
08:55lcm takes common number
08:57and includes non-common number
08:59hcf takes only common number
09:01and ignores the rest
09:03what is given in question
09:05is sum of both
09:07so if you add 1 in 176
09:09and what is given in question
09:11is difference of both
09:13in this way your x and x will be cut
09:15this is of no use
09:17my brother
09:19now if you cut it
09:21how many times it will be cut
09:2328 times
09:25so my brother
09:27if you cut 4956
09:29and that too
09:31with 177
09:33so here it will be 2 times
09:352 x 7 is 14
09:37and this is
09:393 x 7 is 34
09:415 x 4 is 1
09:439 x 5 is 4
09:45if we see here
09:478 x 7 is 56
09:498 x 7 is 56
09:51and 5 x 7 is 61
09:53as I said in 28 times
09:55so my brother
09:57how many times it will be cut
09:5928 times
10:01my brother
10:03and here
10:05you just have to multiply
10:07and give your answer
10:0928 x 5 is
10:1114
10:1328 x 7 is
10:15196
10:17and in 196
10:19if we add 14
10:21210 x 0 is
10:2321
10:2528 x 1 is
10:2749
10:29this is our answer
10:31option no. D for Dev Sena
10:33if you wanted you could have used
10:35digital sum
10:37you could have made this question
10:39with digital sum
10:41so there was nothing in the question
10:43you just had to use presence of mind
10:45and if you would have used that
10:47then this question would have been
10:49solved in a short time
10:51as I said we will make
10:53difficult questions easy
10:55just be patient
10:57let's move on
10:59let's move on
11:01let's see the next question
11:03in the question
11:05the LCM of 165, 176,
11:07385, 495 is K
11:09and when we
11:11divide LCM
11:13with HCF
11:15we get P
11:17so here we have P
11:19so basically first of all
11:21you have to find value of K
11:23and K is
11:25LCM of all these people
11:27what are the numbers of LCM
11:29165, 176, 385,
11:31495
11:33so I said my brother
11:35Pankaj Goswami
11:37where did
11:39177 come from
11:41so Pankaj brother you know this much
11:43whose value is given
11:45we divide with that
11:47so read this value Pankaj brother
11:49in English, in Hindi
11:51what is this value
11:53sum of LCM and HCF
11:55we have to add LCM and HCF
11:57so this is 176 and this is 1
11:59so how much we have to add both
12:01177
12:03so what is the value of this
12:05so 177
12:07so from whom we divided it
12:09so 177
12:11so what is asked Pankaj brother
12:13so difference between LCM and HCF
12:15so here 176 and 1
12:17so what is the difference of 175
12:19so from whom we will multiply
12:21so from 175
12:23so whose value is given
12:25multiply
12:27that's it
12:29now come
12:31so first of all it is said
12:33what I have to take out of these numbers
12:35I have to take out LCM
12:37so let's give some information about these numbers
12:39so this is our 165
12:41this is our 176
12:43after that here 385
12:45after that here
12:47how much will be 495
12:49if we see here
12:51what is said to us
12:53so
12:55so
12:57so
12:59so
13:01so
13:03so
13:05so
13:07so
13:09so
13:11so
13:13so
13:15so
13:17so
13:19so
13:21so
13:23so
13:25so
13:27so
13:29so
13:31so
13:33so
13:35so
13:37so
13:39so
13:41so
13:43so
13:45so
13:47so
13:49so
13:51so
13:53so
13:55so
13:57so
13:59so
14:01so
14:03so
14:05so
14:07so
14:09so
14:11so
14:13so
14:15so
14:17so
14:19so
14:21so
14:23so
14:25so
14:27so
14:29so
14:31so
14:33so
14:35so
14:37so
14:39so
14:41so
14:43so
14:45so
14:47so
14:49so
14:51so
14:53so
14:55so
14:57so
14:59so
15:01so
15:03so
15:05so
15:07so
15:09so
15:11so
15:13so
15:15so
15:17so
15:19so
15:21so
15:23so
15:25so
15:27so
15:29so
15:31so
15:33so
15:35so
15:37so
15:39so
15:41so
15:43so
15:45so
15:47so
15:49so
15:51so
15:53so
15:55so
15:57so
15:59so
16:01so
16:03so
16:05so
16:07so
16:09so
16:11so
16:13so
16:15so
16:17so
16:19so
16:21so
16:23so
16:25so
16:27so
16:29so
16:31so
16:33so
16:35so
16:37so
16:39so
16:41so
16:43so
16:45so
16:47so
16:49so
16:51so
16:53so
16:55so
16:57so
16:59so
17:01so
17:03so
17:05so
17:07so
17:09so
17:11so
17:13so
17:15so
17:17so
17:19so
17:21so
17:23so
17:25so
17:27so
17:29so
17:31so
17:33so
17:35so
17:37so
17:39so
17:41so
17:43so
17:45so
17:47so
17:49so
17:51so
17:53so
17:55so
17:57so
17:59so
18:01so
18:03so
18:05so
18:07so
18:09so
18:11so
18:13so
18:15so
18:17so
18:19so
18:21so
18:23so
18:25so
18:27so
18:29so
18:31so
18:33so
18:35so
18:37so
18:39so
18:41so
18:43so
18:45so
18:47so
18:49so
18:51so
18:53so
18:55so
18:57so
18:59so
19:01so
19:03so
19:05so
19:07so
19:09so
19:11so
19:13so
19:15so
19:17so
19:19so
19:21so
19:23so
19:25so
19:27so
19:29so
19:31so
19:33so
19:35so
19:37so
19:39so
19:41so
19:43so
19:45so
19:47so
19:49so
19:51so
19:53so
19:55so
19:57so
19:59so
20:01so
20:03so
20:05so
20:07so
20:09so
20:11so
20:13so
20:15so
20:17so
20:19so
20:21so
20:23so
20:25so
20:27so
20:29so
20:31so
20:33so
20:35so
20:37so
20:39so
20:41so
20:43so
20:45so
20:47so
20:49so
20:51so
20:53so
20:55so
20:57so
20:59so
21:01so
21:03so
21:05so
21:07so
21:09so
21:11so
21:13so
21:15so
21:17so
21:19so
21:21so
21:23so
21:25so
21:27so
21:29so
21:31so
21:33so
21:35so
21:37so
21:39so
21:41so
21:43so
21:45so
21:47so
21:49so
21:51so
21:53so
21:55so
21:57so
21:59so
22:01so
22:03so
22:05so
22:07so
22:09so
22:11so
22:13so
22:15so
22:17so
22:19so
22:21so
22:23so
22:25so
22:27so
22:29so
22:31so
22:33so
22:35so
22:37so
22:39so
22:41so
22:43so
22:45so
22:47so
22:49so
22:51so
22:53so
22:55so
22:57so
22:59so
23:01so
23:03so
23:05so
23:07so
23:09so
23:11so
23:13so
23:15so
23:17so
23:19so
23:21so
23:23so
23:25so
23:27so
23:29so
23:31so
23:33so
23:35so
23:37so
23:39so
23:41so
23:43so
23:45so
23:47so
23:49so
23:51so
23:53so
23:55so
23:57so
23:59so
24:01so
24:03so
24:05so
24:07so
24:09so
24:11so
24:13so
24:15so
24:17so
24:19so
24:21so
24:23so
24:25so
24:27so
24:29so
24:31so
24:33so
24:35so
24:37so
24:39so
24:41so
24:43so
24:45so
24:47so
24:49so
24:51so
24:53so
24:55so
24:57so
24:59so
25:01so
25:03so
25:05so
25:07so
25:09so
25:11so
25:13so
25:15so
25:17so
25:19so
25:21so
25:23so
25:25so
25:27so
25:29so
25:31so
25:33so
25:35so
25:37so
25:39so
25:41so
25:43so
25:45so
25:47so
25:49so
25:51so
25:53so
25:55so
25:57so
25:59so
26:01so
26:03so
26:05so
26:07so
26:09so
26:11so
26:13so
26:15so
26:17so
26:19so
26:21so
26:23so
26:25so
26:27so
26:29so
26:31so
26:33so
26:35so
26:37so
26:39so
26:41so
26:43so
26:45so
26:47so
26:49so
26:51so
26:53so
26:55so
26:57so
26:59so
27:01so
27:03so
27:05so
27:07so
27:09so
27:11so
27:13so
27:15so
27:17so
27:19so
27:21so
27:23so
27:25so
27:27so
27:29so
27:31so
27:33so
27:35so
27:37so
27:39so
27:41so
27:43so
27:45so
27:47so
27:49so
27:51so
27:53so
27:55so
27:57so
27:59so
28:01so
28:03so
28:05so
28:07so
28:09so
28:11so
28:13so
28:15so
28:17so
28:19so
28:21so
28:23so
28:25so
28:27so
28:29so
28:31so
28:33so
28:35so
28:37so
28:39so
28:41so
28:43so
28:45so
28:47so
28:49so
28:51so
28:53so
28:55so
28:57so
28:59so
29:01so
29:03so
29:05so
29:07so
29:09so
29:11so
29:13so
29:15so
29:17so
29:19so
29:21so
29:23so
29:25so
29:27so
29:29so
29:31so
29:33so
29:35so
29:37so
29:39so
29:41so
29:43so
29:45so
29:47so
29:49so
29:51so
29:53so
29:55so
29:57so
29:59so
30:01so
30:03so
30:05so
30:07so
30:09so
30:11so
30:13so
30:15so
30:17so
30:19so
30:21so
30:23so
30:25so
30:27so
30:29so
30:31so
30:33so
30:35so
30:37so
30:39so
30:41so
30:43so
30:45so
30:47so
30:49so
30:51so
30:53so
30:55so
30:57so
30:59so
31:01so
31:03so
31:05so
31:07so
31:09so
31:11so
31:13so
31:15so
31:17so
31:19so
31:21so
31:23so
31:25so
31:27so
31:29so
31:31so
31:33so
31:35so
31:37so
31:39so
31:41so
31:43so
31:45so
31:47so
31:49so
31:51so
31:53so
31:55so
31:57so
31:59so
32:01so
32:03so
32:05so
32:07so
32:09so
32:11so
32:13so
32:15so
32:17so
32:19so
32:21so
32:23so
32:25so
32:27so
32:29so
32:31so
32:33so
32:35so
32:37so
32:39so
32:41so
32:43so
32:45so
32:47so
32:49so
32:51so
32:53so
32:55so
32:57so
32:59so
33:01so
33:03so
33:05so
33:07so
33:09so
33:11so
33:13so
33:15so
33:17so
33:19so
33:21so
33:23so
33:25and what was that question?
33:27there were two types of questions
33:29that when there is a number here
33:31which divides big people
33:33and same remainder comes and different remainder comes
33:35so here I have taught two concepts
33:37if you know
33:39then
33:41if you don't know then
33:43I will revise that concept
33:45what used to happen here
33:47two types of concepts came out
33:49one here same remainder came out
33:51and
33:53one here same difference came out
33:55there was a concept of same remainder
33:57and
33:59there was a concept of same difference
34:01now what was the concept of same remainder
34:03and same difference here
34:05I will explain that also
34:07so in the question it was said
34:09same remainder and different remainder you can say
34:11so in the question it was said
34:13suppose there is a number
34:15260
34:17if we divide it by d
34:19then r remainder will come
34:21if we leave 2 to 1
34:23you can take anything
34:25if there is a number 460 or 420
34:27if we divide it by d
34:29then r remainder will come
34:31so first thing here in the question
34:33is to say d or r
34:35one question was
34:37there were two types of questions
34:39in same remainder
34:41one where remainder is given
34:43and one where remainder is not given
34:45so I will bifurcate that also
34:47in same remainder
34:49suppose there were two cases
34:51and two cases were
34:53one where r value was given
34:55and one where
34:57r value was not given
34:59and one where r value was not given
35:01and one where r value was not given
35:03and one where r value was not given
35:05I will explain all the examples
35:07like
35:09in the question
35:11it was said
35:13suppose there is a number 16
35:15if we divide it by d
35:17then r remainder is 1
35:19and suppose there is a number 17
35:21if we divide it by d
35:23then r remainder is 1
35:25so here in the question
35:27it will be said
35:29tell me the value of d
35:31second question
35:33where r remainder is not given
35:35so here if r remainder is not given
35:37it will be said
35:39there is a number 19
35:41if we divide it by d
35:43then r remainder will come
35:45if we divide it by d
35:47then r remainder will come
35:49now it may be 2 and 2
35:513 and 3, 4 and 4, 5 and 5
35:53it does not matter
35:55it will be same
35:57so first it will say
35:59tell me the value of d
36:01and tell me the value of r
36:03this is what I told you
36:05now if you remember
36:07even a little bit
36:09then you can make a lot of things
36:11like
36:13instead of 16
36:15you can do 26
36:17it will be better
36:19so if you remember things
36:21then how will you be able to speak
36:23so I told you
36:25that here r remainder is given
36:27and here r remainder is not given
36:29what is the solution
36:31in this
36:33you can also do
36:35like this 19
36:37you can do 29
36:39it will be better
36:41so the method we told you
36:43is this
36:45the method of solution
36:47is this
36:49focus here
36:51the method we told you
36:53is this
36:55in both we take hcf
36:57in both we take hcf
36:59when we have to take lower value
37:01we take hcf
37:03when we have to take upper value
37:05we take lcm
37:07if you want to take lower value
37:09concept of d
37:11and d means
37:13hcf
37:15so here we take hcf
37:17so if we take hcf then how
37:19so here r remainder is given
37:21so first minus
37:23before 16 minus 1
37:25and after that
37:27minus r remainder
37:29and after minus
37:31like here 15 and here 25
37:33so take hcf of these
37:35so after minus
37:37take hcf of this
37:39so this is d
37:41so this is d
37:43so the number which is
37:45divided by both is 5
37:47so here is 5
37:49and if you don't believe
37:51then divide by 5
37:535 divided by 3 is 1
37:55and 5 divided by 5 is 1
37:57so what you learn here
37:59so you learn here
38:01when remainder is given
38:03so here we minus
38:05and here
38:07we take hcf
38:09and if remainder is not given
38:11so in that case
38:13if you want to minus
38:15so here you can't do
38:17so if you can't do
38:19then number is 19
38:21and here 29
38:2319 and here 29
38:25so use difference method
38:27and take difference
38:29difference is 10
38:31so here
38:33so this becomes
38:35difference or factor
38:37if you don't believe
38:39then take difference
38:41as divisor
38:43when 10 divide 19
38:45so remainder will be 9
38:47and when 10 divide 29
38:49so remainder will be 9
38:51and r will be same
38:53it is not necessary
38:55that d value is 10
38:57factor of 2 and 5 can be
38:59if you divide by 5
39:01so remainder will be 4
39:03if you divide by 2
39:05so remainder will be 1
39:07so in difference method
39:09what happens
39:11so in difference method
39:13the difference
39:15becomes answer
39:17or factor
39:19and how to know that
39:21on condition
39:23if you want to take biggest value of d
39:25then you have to take 10
39:27and if you divide by 10
39:29then you have to take 10
39:31and r will be 9
39:33now we will understand this
39:35on big level
39:37and we will know big things
39:39same difference case
39:41we will explain later
39:43so you come here
39:45from question no. 52
39:47your journey starts
39:49here it is said
39:51find the greatest number
39:53which is
39:55which is
39:57which is
39:59which is
40:01which is
40:03which is
40:05which is
40:07which is
40:09which is
40:11which is
40:13which is
40:15which is
40:17which is
40:19which is
40:21which is
40:23which is
40:25which is
40:27which is
40:29which is
40:31which is
40:33which is
40:35which is
40:37which is
40:39which is
40:41which is
40:43which is
40:45which is
40:47which is
40:49which is
40:51which is
40:53which is
40:55which is
40:57which is
40:59which is
41:01which is
41:03which is
41:05which is
41:07which is
41:09which is
41:11which is
41:13which is
41:15which is
41:17which is
41:19which is
41:21which is
41:23which is
41:25which is
41:27which is
41:29which is
41:31which is
41:33which is
41:35which is
41:37which is
41:39which is
41:41which is
41:43which is
41:45which is
41:47which is
41:49which is
41:51which is
41:53which is
41:55which is
41:57which is
41:59which is
42:01which is
42:03which is
42:05which is
42:07which is
42:09which is
42:11which is
42:13which is
42:15which is
42:17which is
42:19which is
42:21which is
42:23which is
42:25which is
42:27which is
42:29which is
42:31which is
42:33which is
42:35which is
42:37which is
42:39which is
42:41which is
42:43which is
42:45which is
42:47which is
42:49which is
42:51which is
42:53which is
42:55which is
42:57which is
42:59which is
43:01which is
43:03which is
43:05which is
43:07which is
43:09which is
43:11which is
43:13which is
43:15which is
43:17which is
43:19which is
43:21which is
43:23which is
43:25which is
43:27which is
43:29which is
43:31which is
43:33which is
43:35which is
43:37which is
43:39which is
43:41which is
43:43which is
43:45which is
43:47which is
43:49which is
43:51which is
43:53which is
43:55which is
43:57which is
43:59which is
44:01which is
44:03which is
44:05which is
44:07which is
44:09which is
44:11which is
44:13which is
44:15which is
44:17which is
44:19which is
44:21which is
44:23which is
44:25which is
44:27which is
44:29which is
44:31which is
44:33which is
44:35which is
44:37which is
44:39which is
44:41which is
44:43which is
44:45which is
44:47which is
44:49which is
44:51which is
44:53which is
44:55which is
44:57which is
44:59which is
45:01which is
45:03which is
45:05which is
45:07which is
45:09which is
45:11which is
45:13which is
45:15which is
45:17which is
45:19which is
45:21which is
45:23which is
45:25which is
45:27which is
45:29which is
45:31which is
45:33which is
45:35which is
45:37which is
45:39which is
45:41which is
45:43which is
45:45which is
45:47which is
45:49which is
45:51which is
45:53which is
45:55which is
45:57which is
45:59which is
46:01which is
46:03which is
46:05which is
46:07which is
46:09which is
46:11which is
46:13which is
46:15which is
46:17which is
46:19which is
46:21which is
46:23which is
46:25which is
46:27which is
46:29which is
46:31which is
46:33which is
46:35which is
46:37which is
46:39which is
46:41which is
46:43which is
46:45which is
46:47which is
46:49which is
46:51which is
46:53which is
46:55which is
46:57which is
46:59which is
47:01which is
47:03which is
47:05which is
47:07which is
47:09which is
47:11which is
47:13which is
47:15which is
47:17which is
47:19which is
47:21which is
47:23which is
47:25which is
47:27which is
47:29which is
47:31which is
47:33which is
47:35which is
47:37which is
47:39which is
47:41which is
47:43which is
47:45which is
47:47which is
47:49which is
47:51which is
47:53which is
47:55which is
47:57which is
47:59which is
48:01which is
48:03which is
48:05which is
48:07which is
48:09which is
48:11which is
48:13which is
48:15which is
48:17which is
48:19which is
48:21which is
48:23which is
48:25which is
48:27which is
48:29which is
48:31which is
48:33which is
48:35which is
48:37which is
48:39which is
48:41which is
48:43which is
48:45which is
48:47which is
48:49which is
48:51which is
48:53which is
48:55which is
48:57which is
48:59which is
49:01which is
49:03which is
49:05which is
49:07which is
49:09which is
49:11which is
49:13which is
49:15which is
49:17which is
49:19which is
49:21which is
49:23which is
49:25which is
49:27which is
49:29which is
49:31which is
49:33which is
49:35which is
49:37which is
49:39which is
49:41which is
49:43which is
49:45which is
49:47which is
49:49which is
49:51which is
49:53which is
49:55which is
49:57which is
49:59which is
50:01which is
50:03which is
50:05which is
50:07which is
50:09which is
50:11which is
50:13which is
50:15which is
50:17which is
50:19which is
50:21which is
50:23which is
50:25which is
50:27which is
50:29which is
50:31which is
50:33which is
50:35which is
50:37which is
50:39which is
50:41which is
50:43which is
50:45which is
50:47which is
50:49which is
50:51which is
50:53which is
50:55which is
50:57which is
50:59which is
51:01which is
51:03which is
51:05which is
51:07which is
51:09which is
51:11which is
51:13which is
51:15which is
51:17which is
51:19which is
51:21which is
51:23which is
51:25which is
51:27which is
51:29which is
51:31which is
51:33which is
51:35which is
51:37which is
51:39which is
51:41which is
51:43which is
51:45which is
51:47which is
51:49which is
51:51which is
51:53which is
51:55which is
51:57which is
51:59which is
52:01which is
52:03which is
52:05which is
52:07which is
52:09which is
52:11which is
52:13which is
52:15which is
52:17which is
52:19which is
52:21which is
52:23which is
52:25which is
52:27which is
52:29which is
52:31which is
52:33which is
52:35which is
52:37which is
52:39which is
52:41which is
52:43which is
52:45which is
52:47which is
52:49which is
52:51which is
52:53which is
52:55which is
52:57which is
52:59which is
53:01which is
53:03which is
53:05which is
53:07which is
53:09which is
53:11which is
53:13which is
53:15which is
53:17which is
53:19which is
53:21which is
53:23which is
53:25which is
53:27which is
53:29which is
53:31which is
53:33which is
53:35which is
53:37which is
53:39which is
53:41which is
53:43which is
53:45which is
53:47which is
53:49which is
53:51which is
53:53which is
53:55which is
53:57So see you in the next class
53:59That's all for today, be happy, be happy
54:01Love you all, take care, bye
54:03Thank you
54:27Thank you