NUMBER SYSTEM Best Questions for SSC CGL 2026 | Rank Booster Test 1 | Magnamentor PowerPlay Batch

[00:00:01]Hello friends, our CGL 2026 exam is approaching, so we need to increase our max speed and boost our rank, for that, our power batch is going to have its next classes, so we had put a schedule in it, what will we do in our power batch, in the order that is put in that schedule, the classes will be given, the best solution for it will be the solution for you to set the section timer, 10 questions, today we are going to do a very good question on the topic called number system, so let's start, the value of x is 2+ rad, the value of y is 2 m rad, the value of z is one, then what is the value of fun, so when we see this, we know that this is 2p root, this is 2 m root, this is apa b, this is ama b square, or what is the difference of the square of four, this is the square of If the difference of m squared is one, then if x is also x, then n is 2nd, or conversely, if x is 2nd, then 2+ root. So what is the formula or property that we need to learn?

[00:01:03]Now we will see the constant term and the root term of that given number. Then the difference of its square is the difference of its square. It is obtained when taking the conjugate or reciprocal.

[00:01:13]So the shortcut to learn here is this, not the reciprocal, sorry, what is the difference between the square of a given constant and the root of a number? If it is one, what do you do to write the reciprocal of that value?

[00:01:26]Just change the sign of the middle term. If the value of upx is 2+ r, then if you say 1 by a, it will be 2. So since y is written here as 2 - root, let's say that x and y are reciprocals of what x and y are reciprocals of or y = 1/x.

[00:01:40]We got it. When you say Z, it's one. So what can I say here?

[00:01:43]Since x = or y = 1/x, x is these. So x is these. The thing is, this is 2+ root 2. You can see that too. You can do that if you want.

[00:01:53]What is the value of Apevas? It is one.

[00:01:54]So you have to do this in your mind.

[00:01:56]What am I doing? Here I am taking the LCM equation, so what comes next? The x-ray will come. What will come up next? x sc y y sc sorry that x sc+ y y sc+z sc will come. So here xsk+va yy sk+is sk will come up plus so here when I give xyzd what is that too when xyzd comes up this xyy+ ys+isdae will come up so here it comes up x^+ y^+s + 2 e xy+ y+. That means x+y+square comes out on top. So what happens when you square x+? If you say x+, what happens when you say root ru, go two, four, four, one, five, five, square 25 Question What is pen free?

[00:02:35]How can you do it pen free?

[00:02:36]Now I will show you in writing. If many people do not understand when I say pen free, what can we do? Here we have xy, what is one, z, what is one, up. When I take the LCM here, we have to make the equation below. Here we have to multiply by y, we have to multiply by y, we have to multiply by +ysk+ plus zdsk. Here we have to give the LCM 2 in xyzd. After I give the LCM, what happens on top is the remainder yzd plus thiszd. The remainder yzd is x plus.

[00:03:09]To make it xyzd, we have to multiply by xy here.

[00:03:11]So we have the common below yxzd common sqzd+ 2 uay+y+sae, if we say yx+y+ isol square If we say A+Y, we get one, then we get A+Y Option B Let's give the answer, write it down, that's all we have to do. The next positive numbers are x and y. 31. The reminder is given. 17 is 27.

[00:04:35]4m+ by 31. The reminder will be up. This is the problem of the reminder. So, here we have a reminder. When we divide the numbers x by 3, if it is 17 or 27, then if we divide by that same divisor, what do we do there? Give that reminder there.

[00:04:59]What is the reminder when dividing? If you have 17, you just have to give 247 to y.

[00:05:03]This is what we do by putting the reminder in the reminder.

[00:05:05]Up 4 68 times y 48 68 times 41. When we say 20, here 3 is 81 81 201/ 31 33 31 3 93. How much will be the remainder?

[00:05:16]The pen should not touch these three questions. This question is so much. Let's write this question. Let's take a pen. Let's do the third question without taking a pen. It's asking if 4 is a positive integer, what is the value of this?

[00:05:28]So, I'm just going to think about this and turn my head.

[00:05:30]What do you get when you win 53/45? So what happens when you win this one-by-one deal?

[00:05:34]Oh, it's a headache. So this is the head. So, this time, there will be a bye one. That means only this item will remain. This is 53/45, this item alone, this bottom item alone, 51/45, nothing left, eight times 45, so instead of this one, we have A.

[00:05:50]The value of the app is one. I gave you four.

[00:05:51]What are you doing now that you've given 4 Ionala minus? Eba 45 is sitting on this head.

[00:05:56]This is the rest. One thing passed, nothing passed.

[00:06:00]What do we get when we sit down at 8/45? You get 45/8. When you say 45/8, it goes five and five times. Five is 5/45. What's up with the bike? The remaining five. The value of Apo B is five minus five plus three into C.

[00:06:11]What does C mean? Here 5/45 is one by one and two by five. This should be rotated.

[00:06:16]Is it 45 when it rotates? Sorry about that. When you say eight times five is 45 times five, it's five times five. Okay, 5/8 is also 5/8.

[00:06:27]This should be the head.

[00:06:29]What do I get when I sit down? This will be the head. 5/8 is one by c -2 2b5. When this is turned upside down, it gets 8/5. The value of 8/5 is C m 2b5. The value of C + 2b5 comes here. So we get the value of 10/5 as two. Or it could be written as 2 m 2 b 5. 2 times is 8/5. The value of the suit is two. I give you both. Dad, how much elephant do we get? Answer option: Dinala.

[00:06:52]That's all you can write. The next fifth question is the digit number digit by digit by want to think about it up here, look at the number like this up sum there, let's check this condition without writing it down, the unit digit digit then look at the number like this, we don't need zero, after we turn the zero around, then what is the digit number here up digit number we need similarly the sum of digit by want off number then let's look at the number there, we have four less than digits. So, we have 51, four less than the digit, 62, 73, 84, four less than all of these, four less than 95.

[00:07:36]Okay, so these are the possible numbers for us. Now quickly check there. If you say sum of digits a, is it 1? If not, is it 62? If 10, is it 73? If not, is it 0? Yes, we are satisfied. The quotient is 1/7 of 84, which is our sum of digits, which is 12. Okay, once you get that, the number is 84. If you reverse it and divide it by 48, it will go to 46. What is the remainder? This is the solution. The next greatest number that divides is this. This. This.

[00:08:04]Reminder. In this case, if the same is the same, the HCF of the difference of these three numbers will be. So if we say the difference of this, how much rain will come? If we say the difference of this, how much will we get? 48 Upa The HCF of 48 and 72 will be our one N. What is Up?

[00:08:20]Up is 24. Let's stop here.

[00:08:22]So call it no factor of, that is, what is not a factor of S or what is that factor that is not a factor of 24? A factor is four factor, 16 factor. If we want, we can stop here [clears throat] Why do I say that the question is pen-free?

[00:08:32]Why is it pen-free? What is needed is the HF of the difference. Upa difference N, if there is one in the 7 answer, it is 72. That is a tail 72 or we can give a yes or the crew will find it like this. Okay, next, if the 9 digit number is divisible by a number, if it is 7, it must be divisible by 8. Upa, if it is divisible by 8, the last three digits must be divisible by A.

[00:08:58]Upa will go to 72. The value of y is four, so y is 28. So if you give four, 12 19, don't look at the 19, there is one left, after 18, one, don't look at the 19, one, go and look at the remaining three, what will be the value of the father, how much will be added to three, if it is a multiple, then here is the root option DA, next to 5/4 3+, if it is A+Ba, the value of this is asked, up, look at this, A+B, if you say MAEBA, then FAEB is my manfa, this is the middle 12 24 Ra is by 3rd Ra, I said, the mask of this square, MABE, will come at the bottom, up, this is 24 root, this is 5BA4 root, up, how can I multiply the root of 5BA4 by the root, it will come at the top, it will come at BYA, then 5 root byA will come, 5 root byA will come, we have to do the calculation, 197 root byA will come, this is what AP has given, if we say UP, the constant is the root lying on B Here there is no A zero A there is no zero Up If our answer is in that B is tae B If we say who is lying next to the root 197/8 or 197/2 If we say half of 197 how much is 98½ 196 or 98½ Okay 98½ 196 is then one half 98½ 197 is two Our answer is 197 by two We should do this Next what is the value of this So if you ask a question like this What do you do Take the difference everywhere One by difference By difference If we say four here is four In one by first time i.e. by byte one by last time 1 by 93 The only thing is to do the calculation fast. If you put 93 here, you get 900/3 93, and then you get 900b 300 by our 3, and then you get 100b 301, which is 25/31. You have to keep all these options in mind and do the calculation. What is the sum of all natural numbers between 100 and 400 which is a DVD by 13 dad so the first number is 104 multiple of 13 then what is the number 390 390 ok dad how many numbers are there like this we have first last time my first or this is 13 * a this is 13 * 30 so 30 ma 30 ma epa 23 times or what can you do last time minus first time by common difference when we say 394 how much will it be 286 286 common difference will be this number of times last time first time con difference will be number of times tell us how much 23/ first time plus last time i.e. 494 dad this will be our answer says 494 here let's see if one is unit then 12 should come in the upper case why multiply two will come in two let's multiply two by one Four times eight does not come with four.

[00:11:47]Which answer is this? We can apply the degree when it comes to two. When it comes to two, we need 5A. Here, A is 56.

[00:11:52]56. The degree equals two. O is two.

[00:11:55]This is 12. 18. What is the option? Read this. This is how to do the questions.

[00:11:59]We did the question. The coolest question of the number system. Up.

[00:12:02]This is like this. What do you do with all the schedule that I give?

[00:12:05]Up. This is not for beginners at all.

[00:12:06]But if you are somewhere in the middle to boost your rank, it is a thing to set your section timer. If you have any doubt for preparation, you can send me an email and ask. We have started our GK vocabulary channel. If you do it, you will get the channel. I will subscribe to it.

[00:12:20]Videos will be coming. Okay.