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AnimalsTranscript
00:00Jai Hind friends, welcome to your own family, how are you all, please tell us.
00:27Radhe Radhe Bhai Radhe Radhe to everyone, good evening, good evening, good evening.
00:32How are you all, please tell us.
00:36Are you fine? Are you enjoying?
00:43Very good, very good, everyone is fine.
00:48Welcome to this class, where we had 28 questions from HCFL till last class.
00:56In this class, we will answer all the questions beyond question no. 29.
01:01I hope you all are fine, healthy and well.
01:05Good evening, good evening, good evening to everyone.
01:08Very good, very good.
01:16So, you had completed question no. 28.
01:20In this class, we will answer question no. 29.
01:24Let's see what has been said in question no. 29.
01:27See what has been said in question no. 29.
01:30I am not feeling well, I don't know what has happened.
01:35I don't understand, I was sleeping.
01:38I was taking rest.
01:41Rest, I will be fine.
01:43I will teach little by little in some time.
01:45Everything will be fine, there is nothing to worry about.
01:48You all tell me, are you all fine, healthy and well?
01:58So, today you are forming a government.
02:00Whose government are you forming?
02:02BJP or India Gatbandhan, tell me.
02:13Whose government are you forming?
02:15How can we tell you?
02:24Very good, very good, very good.
02:27Enough of BJP, BJP.
02:31Now, let's see what has been said in question no. 29.
02:41Read what has been said in question no. 29.
02:54Actually, what has been said here?
02:56When we add two numbers, we get 528.
02:59And after that, the HCF is 33.
03:02So, how many such pairs are possible?
03:04What did I tell you?
03:05Two cases are formed in this.
03:06One is the case of sum and one is the case of product.
03:09So, you can say like this.
03:11Sir, see, if HCF is 33.
03:14So, how much is our HCF?
03:16It is 33.
03:17So, if our HCF is 33.
03:19So, what will happen here?
03:21Our first number.
03:23How much will be the multiple of 33?
03:25So, it will be 33x here.
03:27And our second number.
03:29It will be our 33y.
03:31You will have to understand this.
03:33It will take time.
03:35But you will understand everything.
03:37The numbers that are there.
03:39They work on the multiple of HCF.
03:42If HCF is 10, then it will be 10x and 10y.
03:45If HCF is 20, then it will be 20x and 20y.
03:48By doing this here.
03:50So, see here, the sum of two numbers is given.
03:52Their HCF is given.
03:54So, if HCF is 33, then it will be 33x and 33y.
03:59Now, in the equation, it is said that the sum of both is 528.
04:02That is, the sum of both.
04:04So, the sum of both means this.
04:06How much will be our 33x plus?
04:0833y.
04:10And it will be equal to 528.
04:13So, if we see here.
04:15So, if we take 33 as common.
04:17So, our x plus y.
04:20It will be equal to 528.
04:24If you divide by 33.
04:27So, our 33 will go to 1 bar.
04:30And after that, it will go to 6 bar.
04:34You see, 16 plus 3 is equal to 48.
04:36This is done.
04:38Now, the sum of two numbers is 16.
04:41That is, the sum of two co-prime numbers x and y is 16.
04:46Now, how will 16 come here?
04:48So, see, understand what I am saying.
04:50You will say, sir, how can 16 come?
04:53So, for 16 to come here, one has to be 15.
04:57This has to be 2 and this has to be 14.
04:59This has to be 3 and this has to be 13.
05:01This will be 4, so this will be 12.
05:04This will be 5, so this will be 11.
05:06This will be 6, so this will be 10.
05:09This will be 7, so this will be 9.
05:11And this will be 8, so this will be 8.
05:13These possibilities can be ours.
05:16Now, the biggest thing here in the question is what?
05:18What kind of numbers are x and y?
05:21So, x and y are our co-prime numbers.
05:26x and y are co-prime numbers.
05:28So, if we see here, is this our x and y co-prime?
05:31Absolutely.
05:32Is this co-prime?
05:33So, you will say, no, sir, this is not co-prime.
05:35Why?
05:36Because this is also deducted from 2 and this is also deducted from 2.
05:39Is this co-prime?
05:40Absolutely.
05:41But 4 and 12 are not.
05:435 and 11 are, but 6 and 10 are not.
05:467 and 9 are, but 8 and 8 are not.
05:49What does co-prime mean?
05:51Those who do not have any common factor.
05:54Okay?
05:55So, in total, 1 pair, 2 pairs, 3 pairs, 4 pairs.
05:58How many pairs are possible?
06:00So, 4 pairs are possible.
06:02So, whenever you give an HCF of any number in any question.
06:05Okay?
06:06So, the first thing is that the numbers are multiple of it.
06:11Like the number is 33x and this is our 33y.
06:15Now, in the question, it is said that the sum of both the numbers is 528.
06:19That is, the value of 33x plus y is this much.
06:22So, the value of x plus y is 16.
06:24Now, the value of x plus y is 16 here.
06:27So, the sum of two co-prime numbers is 16.
06:31The sum of two co-prime numbers is 16.
06:34So, these are the ways to become 16.
06:36In which this is not co-prime, this is not, this is not, this is not.
06:404 pairs are left.
06:41So, this will be our answer.
06:43This will be our answer here.
06:46If there is any problem, then tell me.
06:59Now, let's go to the next question.
07:01Let's see what we have been told in question no. 30.
07:05Okay?
07:07So, let's see what has been said here in question no. 30.
07:10The sum of two numbers is 1224.
07:12Their HCF is 68.
07:14The number of pairs of numbers satisfying the above condition.
07:17There is a photocopy of the question at the very back.
07:21There is a photocopy of the question at the very back.
07:23There is a photocopy of the question at the very back.
07:26So, understand this.
07:27You can understand it here in the same way.
07:30Your method will be the same here.
07:32How will you understand?
07:33So, you will say, sir, look here.
07:35Our HCF is 68.
07:38So, if our HCF is 68.
07:40So, the first number here will be 68x.
07:45So, it will be 68x.
07:47The second number here will be 68y.
07:51In the question, it was said that the sum of both is equal to 1224.
07:56The sum of both is equal to 1224.
07:59So, if the sum of both is equal to 1224.
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