SSC CGL Tier-I Free Live Mock - 15 | Maths Explanation | By Rajkumar Sir | Everest Coaching Point

Added: 2026-05-10

[00:00:09]Well written exam exam well written x^2 +y^ +z^2 = 2 5x+ 6y+ 4z -77 2x+y -3z This is what we are asked to calculate. Look, in algebra, we see these model questions where we can directly say the xyz values ​​here, that is, x = right side x, see what the coefficient is. What is the right side x coefficient 10, it has x coefficient y2 2 times of left, that is 10/2, so y is also the right side y coefficient, that is 2 times of left, y coefficient zd equals a 2 e on the right, whatever that constant is, that's all there is to adjust, now in x place 5 2 of x+th 5+c minus 3 times of zd, see 11t 22 - 12 22 - 12, that is, this is our answer, see here if we write a procedure, how can we write it, that is, suppose x -ahosk = 0, x -ahos = 0, then x -a = 0, then x = what will happen a, and y -byy -b^ = 0, let 's equate y -b to 0, y = what will happen b, if we do the procedure, You can write it, but when you ask a question like this, square terms appear on the left.

[00:02:16]These values ​​can be given on the left or on the left as well. The x square terms are also given as xy square z z square and some constant is given. When you give it, you can calculate the az values ​​directly like this.

[00:02:31]Once this is done, if you want a procedure, see what happens.

[00:02:37]xsk. If you take this 10x to the left, then -10x. Now you observe this. If x - something is written as a square, what is the a - busk formula? a - bahoskr ask - 2abpbisk. If xsk is given, then 2 e is given as a square. If you do as much as you can, then 10.

[00:03:08]Now, expand x -5 as a square. If you do as xsk - 10x plus 25p 25, then try to say ysk as a square - 12y plus. Here, y - something is written as a whole square. If you do as much as you can, then ysk is given as a square. So, if you do as much as you can, then ysk is given as a square. So, if we do as much as we can, then 2y 2y * we get 12. So 6sq is 36 and zd is 6.

[00:03:51]Now zd is sq - 8z plus is z minus. A square is -2abbb square. If you multiply 2z by thisz, you get 8.

[00:04:11]So 4 square is 60. If you want, you can see the constants 25+ 36 25+ 36 61+6 is given in such a way that it can be adjusted. 61+6 is 77. If you take that -77 to the left, it becomes +77. If you adjust all that, it will be made like this. So let's say this is 0.

[00:04:41]So this is 0. Now suppose a^2 + b^2 + c^2 = 0.

[00:04:50]When a is + b^2 + c is 0, the value of a is zero or positive. So aScrpBScrpSk 0 If aSc = 0BSc = 0 cSc = 0 We equate x -5 to Joe We equate y -6 to Joe We equate y -4 to Joe If the procedure is to do this, this is what we do directly You can write it like this Look again at what we wrote on the right side A coefficient by times of left A square coefficient Also y = What we are writing on the right side y coefficient /2 times of y square coefficient Z Right side Z coefficient by 2 times of Z square coefficient Simplifying, we get the A values See the next question Find the reminder on dividing 5x cubed 4xs2 - 10x+1 / 2x - 4 Reminder When asked to calculate, you have to equate it to zero.

[00:06:05]2a = 4 or x = If you take this and substitute it into the data they gave, you get 5e 2cube 4it square 10it plus 1 8 * 5= 40 + -20 -4 36 36+1 30 Just equating 2x -4 to 0 will give you the x value. Just substitute the resulting x value.

[00:06:43]Next one is asking if x is irrational and y is irrational then x+th is x is irrational and y is also irrational then x+th is always irrational see second option always rational see third option rational if x = -y see fourth option never rational see irrational means 2 but 3 but such values ​​now suppose we take x value 2 y value 3 this becomes irrational what happens this becomes irrational.

[00:07:25]But if we take x value 2 and y value - 2, then 0 is again a rational number, so when x = -y, the third option is our answer.

[00:07:44]x+y is always irrational, that is also wrong because if x is taken as 2 and y is taken as -2, then it is rational, right? So we cannot say that it is always irrational. We cannot say that it is always rational either. Suppose we take one 2 and one 3, then we get irrational. First option. Second option. We cannot say that the third option is that if we take x = -y, we put x+y. After two successive increments, a person's salary becomes 156.36.25% of the original salary. The present increase in the second increment was equal to the first increment. Then what was the percentage of each increment? The second increment is also the same as the first increment. Effectively, it is an increase of 56.25%, which is 156.25% of the original. Tell us how much increase has been made.

[00:08:42]Successive The formula for increase of x% and y% is x+y + xy/1 x+y + xy/1 You can simplify this or see the options.

[00:09:01]What is the first option? In the place of 20 x, 20 20+ 20 40 20* 20 400/100 means 44.

[00:09:11]22 means decimals. We have 22sq means 484. So there is no chance of getting 25 in the last.

[00:09:19]Look at 25. 25+ 25 25* 25 625/1 6.25 56.25 Perfect, but you should understand when you see 255 in the last.

[00:09:37]We write x+th+xy/1, so there is no chance of coming in last if you write 20sk/1 or 22sk/1. If you write 25sk/1, then this is our third option. This is our answer. A town has a present population of 240,000. Every year the population increases by a birth rate of 12% and decreases by a death rate of 7%.

[00:10:13]Find the population of the town at the end of 3 years. The population increases by 12% and decreases by 7% again.

[00:10:22]How much will it effectively increase?

[00:10:26]How many years will it take to increase by 5%? How many years will it take to increase by 5%? Let's calculate. But when the options are very easy for you, now you see that there is a little more difference in the options. If it increases by 5% per year, then the simple interest is calculated.

[00:10:44]First, here the population is compounded. The interest increases on top of the increase, but if you first calculate simple interest, it will be known as an approximation. The 5% said in 3 years means 15%.

[00:10:59]I am calculating the simple interest that is 5%. What happens if the 5% said in 3 years means 15%? Isn't it 15%? 15% of 240,000 means 10% which is 24000.

[00:11:11]5% means a 12000 24000 + 12000 36000 If we add 36,000 to 240,000, if we add 36,000 to 24,40,000, we get 27,76,000.

[00:11:27]Our answer should be more than 2,76,000. It should be a little more. That's it.

[00:11:34]Compound interest is more than simple interest, but that more is not much.

[00:11:40]Compound interest is more than simple interest, but the difference is not huge because it is interest on top of interest, right? Anyway, look at the procedure. 5% means how much 1/20 of the population in the fraction will become 21 in one year. Suppose there are 20 20 members. After one year, one member increases and becomes 21. Assume the same number of years, so they will be in the ratio of 20² 21². 3 years means 20 to 21 will be in this ratio. How much is 20kya and how much is 21kya? So this is the present population, but after three years, we were given 8000 in the question, how much was given? 24000 again a zero next to it 9261 look how many times this has it. If we write three times again a zero in the last digit when we write this, see what happens before the zero before the last digit. 3 is here. Here is here. But it is clear that 9th digit is 27. How much is 9th digit? There is no chance of getting such a big answer. 27 is 830. If 20 is the cube principle, then 21 is the cube amount. If 8000 is 240,000, what happens to 961?

[00:13:24]Coordinates of the vertices of a triangle RA A 0, 0 B 8, 0 C 6, sorry 0,6 is the location of the ortho center.

[00:13:41]Look at that vertex, if we look at it, zero is 8, 0 is 0 on the x-axis, 8 is 0 on the y-axis, C is zero on the y-axis, so that forms a right- angled triangle for us. What happens? It forms a right-angled triangle. The semi-center is the point of intersection of altitudes.

[00:14:28]So whatever this right-angled vertex is, this is the semi-center. So what is the orthocenter? Here, 0 is the right angle vertex in a right triangle. That is the orthocenter. The hypotenuse midpoint is the circumcenter. In a right angle triangle, whatever the right angle vertex is, it will be the centroid.

[00:14:53]What will be the hypotenuse midpoint? What will be the circumcenter? The market price of an article is 140% more than the value of the discount. The selling price is what percent of the market price. Look at how the market price is. They say it is 140% more than anything. 140% more than anything.

[00:15:27]140% more than the discount. That is, if we assume that the discount is 100, then we subtract the discount from the market price.

[00:15:39]So, if we assume that the discount is 100, then the market price is 140% more than this. That is, how much is 240? Then what is the selling price?

[00:15:52]140. What are we being asked? The selling price is what percent of the marked price. What is the selling price?

[00:16:01]What is the market price? If you cancel both, you will see that the fraction 7/12 is equal to what percentage. The fraction 1/12 is equal to 8 1/3. Can you write 7/12 as 6/12 plus 1/12? 6/12 means half, what does half mean? 50% of the fraction 1/12 is equal to a percent, which is 8.33. So 50 plus one is 8.33, which is 58.33.

[00:16:47]See how the PDF gives you. You can write it separately later. If two circles of radii A1 and A2 have common tangents and the distance between their centers is less than the modulus of A1 - A2, then n is what is being asked. Look at the difference in their radii of the circles. Do you mean the radii R1 and R2? The distance between their centers. The centers of those two circles are less than the difference in their radii. Suppose those two circles are one circle inside another circle. It means that there can be concentric circles or one circle will remain inside the other so there is no possibility to draw common tangents to both of them so what will be the common tangents i.e. zero I am writing the conditions once Distance d means the distance between centers Distance between centers of 1 and 2 are more than that means the number of common tangents for next that distance between centers is exactly equal to R1+ R2 Suppose that when R1+ R2 is exactly equal to the number of common tangents 3 Distance R1+ R2 is less than and when R1 - R2 is more than the distance between common tangents is exactly equal to their radius difference i.e. common tangents are equal to one Distance between centers less than the difference of The difference of the radius is less than the zero. There are five cases and five possibilities. d > r1+ r2 4 d = r1+ r2 3 d < r1+ r2 But the modulus r1 - r2 2 d = modulus r1 - r2 1 d < r1 1 - a2 Now the question that is being asked of us is this case zero. Remember these too. You can write it later.

[00:19:26]Next, see, a sum was invested with simple interest and it amounted to 132/115 times what it had amounted to in years. Then, when invested for four years, okay, what is the rate of interest?

[00:19:44]Read the question once. See, a sum of 132/15 times how many years does it take to accumulate five years? If you compare it to years, then in simple interest, the amount after five years is 115, but after five years, the amount is 132.

[00:20:07]They give us this data and ask us to calculate the rate of interest.

[00:20:13]To calculate the rate of interest, in simple interest, the interest remains the same every year. Rate of interest is the interest received in one year by the principal e 100. Let's say again that interest received in one year by the principal e 100.

[00:20:32]115 is the amount after years.

[00:20:44]132 is the amount after five years. How much interest was received here? 17 is the amount received in how many years?

[00:20:55]17 is the amount received in how many years? Years. If you get 17 interest for years, how much is the interest received for years? If you get 17 interest for three years, just say it approximately. For 17 years, 17 means 17/3 for one year.

[00:21:12]17/3 means how much is 5.66 66. 17/3 means how much is 5.66 for one year. Suppose 5.66 for one year. What happens for 2 years? 11 something. See from this. I = 17/3 5.66 66 Then how much will it come in years?

[00:21:36]This 115 is the principal plus years' interest. That is the amount after years.

[00:21:44]What is the amount? Principal plus interest.

[00:21:47]Principal plus years' interest. How much did it come in? 11 This is 115. 11. Suppose it comes to the right side. What will be the value? Approximately 104, not exactly, approximately 103.68 or 104. Now 5.66 is 104.

[00:22:16]Look at 5% of 100.

[00:22:21]Look at 104. 100% of 104 is 104. 10% is 10%, which is 10.4. 5% is 5%, which is a little more than 5.2.

[00:22:40]Look 10% means 10.4 5% means 5.2 This is a little more than 5.2, right? That means our answer is more than 5.

[00:22:50]Close to 5 so 5.47% 47% A car moves at a steady pace from a point p to a point q without stopping if its speed is increased by 10 km per hour. It will take an additional 45 minutes if its speed is increased by another 10 km per hour. Are p and q about? Do you understand the question? There are two points p and q. There are two points p and q.

[00:23:44]There are two points p and q. The question they are asking is, what is the distance between the two? What are they saying? In the first case, when the speed was increased by 10 kilometers per hour, the time decreased by one hour. When the speed was increased by another 10 kilometers per hour, the time was reduced by another 45 minutes. But how do you calculate the distance?

[00:24:11]What are you trying to calculate? Let's do the distance procedure.

[00:24:18]Think about it before doing it. What is the very basic meaning of distance? What is distance? What is basic meaning of speed and time?

[00:24:27]What are they saying? Speed ​​was originally set with set speed and time. Now, if there is a 10 kilometer change in speed, if there is a 10 kilometer per hour change in speed, the time is reduced by one hour. If there is another 10 kilometer per hour change in speed, the time is reduced by another 45 minutes.

[00:24:49]Look here. Here, 10 has increased. Here, one has decreased.

[00:24:58]Here, 10. So, there must be something that is multiple of 10.

[00:25:03]Here, one change is the product of two numbers. If we put aside the last zero for a while, the number before that is the product of two consecutive numbers. Product of two consecutive numbers. Product of Which of the following is a conjunctive number? Can we write 42 as the product of two consecutive numbers? Can we write 6s as 42? Let's see how many chances there are to answer it. Let's see how.

[00:25:36]Why do I say product of two conjunctive numbers? That is, suppose there is a speed of 60, then when it becomes 70, when it increases by 10, it decreases by one. This value is without zero.

[00:25:48]This value is without zero.

[00:25:51]Check it once. 60 speed is 20 hours.

[00:25:56]60 speed is 20 hours.

[00:25:59]70 speed is 20 hours.

[00:26:02]420. Another data is given. Confirm that too.

[00:26:05]Now, at 80 speed, at 80 speed, at 80 speed, confirm that too.

[00:26:14]80 80 kilometers per hour is 420.

[00:26:23]Tell me how many times 80 divides 420. 5 4 sorry 5 8 40, so 580 means 400 400 20/80 20/80 1/f Perfect What used to take six hours has been reduced by another 3/4 hours. If the time has been reduced by another 3/4 hours, then another 45 minutes have been reduced. So will it match exactly? Take a look.

[00:26:53]7 hours with 60 speed, 6 hours with 70 speed, 5 1/4 with 80 speed, 10 has increased, one has decreased, another 10 has increased, another 45 minutes have decreased. All data is satisfied. So our answer is 420 km. So this will be our answer.

[00:27:19]Look, if you want a procedure, you can write it, you can solve the equations, or we have a concept in the topic of time and distance to find the usual time, from that we can also write, that is, how fast are you going now by changing the speed into the change in time, if we equate it with the second data, the first speed will come from that, the usual time is actually, if we know the speed and time, we can calculate the distance.

[00:27:58]Next one, you have been given a solution PDF for this, right? In that PDF, you have written a detailed solution. You can take a look at it.

[00:28:06]Ella, the content of metals x and y, the content of metals x and va in the ratio 3:2, the content of ib, the content of ib, the content of ib in the ratio 5:6, the content of y is prepared by mixing els a and b in The ratio 4:5 Sorry 4:3 The percentage of x in aluminum After mixing these two in the ratio of 4:3, we want to calculate how much of it is in the final mixture. In what ratio should we mix them? In what ratio should we mix them? 4:3 How much is this total?

[00:29:07]How much is this total? How much is this total? First, multiply this by 11 and see that 5 11s 11fs 55 55 means that it is equal to 1:1. In what ratio should we convert it to 1:1?

[00:29:31]But what we have to mix is ​​not 1:1. In what ratio should we multiply this by 4 again and again? It will be done.

[00:29:42]Say, 11 4s is how much 44tas is how much 442s is how much 442s is how much 88 15s is how much 15 *c= how much So now If we take the total, see how much x is 20 7 170 Now this 207 is what percent of the total.

[00:30:14]What happens if we total those two?

[00:30:21]385 How much is half of 385 How much is half of 385 as an exaggeration 192.5 How much is the excess over 192.5 How much is the by denominator than 192.5 That is 7.5 This is 7 That is all there is in the denominator 385 See how much is half of 385 How much is half of 385 192.5 5 So 50% is over here or 50% is over here Next see 1% of 385 is 1% 1% is 3.85 3% means more than 11 less than 12 3 4 12 So if it is more than 12, let's say we took 4% more than 3%. 4 times 3.85 4 times of 3.85 More than 15 means that the value we get is more than 3 Less than 4 3 something 53 something What does 53.77% mean?

[00:31:42]Look at that percentage calculation.

[00:31:43]Approximately, 207 is what percent of 385. Half of 385 can be easily said. Half of 385 means 192.5 How much excess is there over 192.5?

[00:31:56]This 14.5 5 is again what percent of this is More than 3 Less than 4 means we don't know the answer exactly but more than 53 Less than 54 options are given easily. So, choose the fourth option. The base of a prism is a regular hexagon. The base of a prism is a regular hexagon with each side equal to 7.5 Height of the prism 18 centimeters Area of ​​the hexagonal base is approximately 146.3 Clicklet tell the total surface area What is the formula for the total surface area of ​​a prism? The formula for the total surface area of ​​a prism is lateral surface area plus times of base area again lateral surface area and perimeter is height plus times of base area. They say that it is 146.3.

[00:33:07]So what is the perimeter? Side 7.5 is not side 7.5. What is the perimeter? 6* 7.5 Height is 2 e 146.3.

[00:33:26]Look at it once. 6e 7.5 means 45na 6s 42 6hafs. Look at it once. 2e 146.3. And the last digit decimals are coming. Decimals are coming but in the last digit How much is 2nd generation?

[00:33:47]How is it an integer? Only here is a decimal. See in the options. First value is an integer.

[00:33:57]We are adding a decimal to the integer. The number we add ends with 0.6. Therefore, our answer must end with 0.6. There are only one options. AB and C enter into a partnership. A invests 80,000. B invests 60,000. C invests 40,000 after 6 months. B increases his capital by 25%. C decreases his capital by 10%. At the end of one year, the total profit is 1,20,000.

[00:34:36]What is T's share in the profit? See profit ratio. Profit in partnership means time investment or investment in time. Here, how much A is investing in all of them. 10% aside. If A invests 80,000, A is the same from first to last, B has increased the investment, A has increased the investment from first to last, A has increased the same amount, B has increased it by 60,000, what happened after six months, what did B do, he increased it by 25%, 25% means 1/4 of the value, 60% is 15%, if not, tell us about A, what did he do after the first six months, he subtracted 10%, he withdrew 10%, that is, 36, if not, let's cancel everything, tell us what happens, 160 60p 75, how much is 135 40+ 36, how much is it? They give us the total profit in the question and ask us for the profit, that's all, if we do the total, see how much we get 160 135 295 295 371 If you add up the total, how much is 371?

[00:36:24]How much is this value?

[00:36:31]120,000. What should we say?

[00:36:36]Look, we have seen such calculations as difficult calculations.

[00:36:42]When you start enjoying calculations, you want tough calculations in the exam because only you can do it. What is difficult for everyone else, you do it fast.

[00:36:55]See, many of our problems can be solved through approximations. We will continue to do more. If 371 is how much, then how much is 76?

[00:37:07]Now let 's see how much is 37.1.

[00:37:14]If 371 is how much is 37.1.

[00:37:19]Just remove one zero. We did by 10. By 12000. Is there almost double? A little more than double.

[00:37:26]Double means a little more than 24000. The remaining options are somewhere far away. 371 is 12000.

[00:37:37]How much is 76?

[00:37:40]First, 37.1 is 12000. But it is a little more than double. That's it. It should be a little more than double. That's it.

[00:37:50]Double for 12000. It should be a little more than 24000. 2458P Q and R working alone can complete work in 24 days, 30 days and 40 days respectively. Both of them started the work together but after 8 The work was completed 6 days before the work was completed 6x days before the work was completed The remaining work alone in how many days was the total work completed pQRP QR 24 30 40 24 30 and 40 24 30 40 What is the LCM of 120 24 is 5 4 3 work is 120 their LCMA work is done what are the days given there LCMA work is done for them. Look at AR VRC, one left after a few days and the other left after a few days, one left after a few days, the other left a few days before the work was completed. This is what we will learn in detail in the topic of time and work.

[00:39:16]Whoever says after a few days, should write the first work.

[00:39:17]Who is leaving when? Who is giving it after?

[00:39:24]Who is saying after a few days? After 8 days, P is said to be after 8 days. So, P's work done in 8 days should be removed.

[00:39:33]P's work done in 8 days should be removed. Before completion, when it is said before completion, we should add 6. If after after a few days, we should subtract. Before completion, we should add. When writing in the denominator, whose work is being subtracted in the numerator, whose work is being subtracted, whose work is being subtracted, P is not the rest.

[00:40:03]Efficiency should be in the denominator.

[00:40:08]120 - 40 80 + 24 104 / See After a few days, subtract.

[00:40:23]Before completion, you have to add it. So whoever P left a few days later, Q left a few days earlier.

[00:40:42]Whatever we are writing minus in the numerator, we should write the remainder in the denominator, not their efficiency.

[00:40:50]A group of 12 students appeared for a physics test. The average of the top 6 was 84.5 and the average of the bottom 6 was 72.75. Later it was found that a decimal error had occurred and one of the scores from the bottom half was mistakenly recorded as 58.2 instead of 85.2. What is the corrected overall average?

[00:41:24]There are 12 members. If the average of the first six members is calculated, how much is 84.5? If the average of the last six members is calculated, how much is 84.5? Then another mistake is said to have occurred. We will see about that later.

[00:41:42]These are the six members. These are the six members.

[00:41:46]So when we say overall average, this is the six members.

[00:41:49]This is the six members. Members can be taken one by one, the average should be taken as the original value. The number of variables does not matter if you take the ratio. In what ratio are these two, that is, one gets 84.5 and the other gets 72.75. So what will be the overall average?

[00:42:12]Here, let's take 156 157.25 25 /2. Let's take 78 156 12. If this is the original overall average, then the mistake they made should also be rectified.

[00:42:35]This is not the correct average.

[00:42:37]According to the data they gave, if one of the six members gets 84.5 and the other six members gets 72.75, then what will be the overall average?

[00:42:45]But there is a mistake, we should also rectify that, right? 78.625. The correction is that we should add the correct value.

[00:42:56]Wrong. Subtract the value 85.2 2 Enter the correct value.

[00:43:01]If there is a mistake, we need to subtract it. In the denominator, we need to write the number of variables 85 - 58, which means 27. The point there and the point here will cancel out.

[00:43:14]27/2 78.625 625 2 12= 24 1/4 1/4 means there are three places after the decimal point. So, 62+ 25 is 87 78+2 80 80.875 A cubic box A cubic box with a side of 30 centimeters needs to be wrapped with a decorative paper made of square pieces each with a side of 6 centimeters. What is the minimum number of square pieces required to cover the entire surface of the box? The surface of the box needs to be covered. That is, we need to cover the surface of the box.

[00:44:06]Surface area of ​​the box This total should be equal to the area of ​​these papers, right? Surface area of ​​cube What is the formula for surface area of ​​cube 6aSq Surface area of ​​cube 6aSq By each square area This small paper is in square shape, what is the area?

[00:44:35]6 One Six Cancel Think of it as how many times 530 So how many pieces are needed, that is 150 See what is the total box area How to cover that box area Should I cover it with these square papers?

[00:44:55]What is the total box area Total surface area Each square area The square paper has six sides, so what is the area 6EC Total surface area of ​​the box By area of ​​the square paper Each exterior angle of a regular polygon measures 51 3/7 7° is asked to find the ratio of the number of its diagonals to the number of its sides.

[00:45:24]What is the formula for the number of diagonals? The formula for the number of diagonals is n * n -3.

[00:45:32]The number of sides is how many vertices there are, so suppose all the sides are there.

[00:45:44]So n means the number of wedges or the number of sides. In the question, we were given each exterior angle. The formula for the number of sides is 360 / each exterior angle 751s 357+3 360.

[00:46:07]So suppose that 7 has gone up.

[00:46:12]So this is the n value. If we substitute 7 in it, what is 7 - 3?

[00:46:21]4:2 4:2 and 2:1 In a circle of radius 10 centimeters a cord length 16 centimeters is drawn find the distance between the center of the circle to the cord cord length is said cord length 16 circle radius radius 10 radius 10 centimeters total cord length 16 centimeters So suppose we draw a perpendicular from the center if we draw a perpendicular from the center see if 16 is half of it this is 8 see this is a right angle triangle triplet this is 4 turn this is 52= right angle triangle triplet 3 4 5 becomes this becomes 3 * 2=. 3 * 2 = 2 is 6 So what is the length from the center to the top of the card?

[00:47:47]6 cm The length from the center to the top of the card is 6 cm. The volume of a prism is 960 cm^ If its base area is 80 sq cm by what percentage should the height be increased to make the volume 1200 cm. There is no change in the base area but by how much change in the height the volume of 960 cm will change to 1200 cm.

[00:48:29]What is the formula for the volume of a prism?

[00:48:33]Base area x height Base area x height So in the first case, in the first case, what is the volume?

[00:48:48]960 Then what is the base area?

[00:48:53]80 Now, let's look at the volume. What happens to volume/ base area height? Here, what happens to volume/base area? Now tell me, what is the volume?

[00:49:09]1200 Now, what is the change in base area?

[00:49:13]Cancel. Cancel. 24.

[00:49:17]In this, the height of 4 should become 5. In this, the height of 4 should become 5. How much has increased? 1/4. If the fraction 4 was originally 4 parts, now the height should become 5 parts. Height means volume/base area. The base area of ​​both is the same. If the equation of the line 2x+3y = 6 is being asked for the slope. Suppose you have written it in the form y = mx+c. Let's say that m is the slope.

[00:49:57]In the form y = mx + c. If we write m, we call it the slope. Bring this 2x to the right side.

[00:50:08]Bring that 3 here.

[00:50:11]-2/3 * xp 2. This is what we need. What will be the slope? Simply put, for minus a/ba apsbvypsi or ax + byy = c, what will be the slope?

[00:50:31]Whether it is -a/ +c or x +by +c = 0, the slope is minus a/b. If you remember this, you can write it directly. -2/3.

[00:50:55]Look at how many easy questions you have given. You sit there doing all the difficult questions in the beginning. Even if you get an easy question in the end, at least tell me that you don't even look at the question. A minus B Whole square formula A square A square minus 2ab 2= 4 4 t= 12p 4xsq - 12x + 9 Average of 20 numbers 40 [Grunts] Sum of the first 10 numbers 380 Average of the remaining 10 numbers Look at the average of the total 20 numbers, they say that the average is 40.

[00:51:37]If the sum of 10 numbers is 380, then what will be the average?

[00:51:46]38 Think for yourself. The average of 10 numbers is 38. The average of another 10 numbers is much. We should say that the overall average is 40. Overall, is there an average of 40? For the average to balance out to 40, how much less than this 40 is this? This is 10 numbers, this is 10 numbers. This is less than 40, so it must be 2 more than 40. Only then will the balance be seen. The overall average is 40. That overall average is 40. After we mix everything, finally, each variable is 40. If we want it to be like this, how much less is this than 40? This is possible only when it is more than 40.

[00:52:30]What does this do when the number of variables is the same? There are 38 of 10 variables.

[00:52:34]Each one is two less. What are these numbers here? That is, each number is two more. If we give it here, then this is 40. This is 40. Overall, 40. 40. 2. means how much is 42. Or no matter how you do it, no matter how you write the number, the average sum, it is still the same. But it is easy to do such easy questions directly. The radius of a sphere increased by 30% by what percent does it? [Grunts] Remember that surface area increases. Area is square volume. Area is square volume. Cube is 30%, say it in fraction. 30%, say it in fraction.

[00:53:21]3/10, say it in fraction. It means that the radius of 10 has increased to 13.

[00:53:31]3/10 means that the radius of 10 bats has increased by another three parts. How much does it increase by? 13. Area is just squares.

[00:53:41]Say 10sk. How much does it increase by?

[00:53:47]13sk. How much does it increase by? Area is just squares. Volume is cubes. Perimeter is radius.

[00:54:03]Now suppose the radius has increased by 30%.

[00:54:05]The perimeter also increases by 30%.

[00:54:11]55 + 17^ -72qya +201960 Look, we have a minus sign, but it looks like that. It's a little bit okay.

[00:54:37]Algebra is not done. It's not a strike to do that. Think for a while.

[00:54:43]Options Zero 1 Different options Different unit digits. What is the unit digit in a five cube? What is the unit digit in a 7 cube?

[00:54:55]What is the unit digit in a 2 cube? What is the unit digit here?

[00:54:59]Should the unit digit match? 5psta 8 - 8 0+ 0 Look, even if we don't know the formulas, they are numbers. So when the unit digits are different in the options, the unit digit must definitely match.

[00:55:22]There is only one option that matches the unit digit. They gave it easily.

[00:55:30]If you want a procedure, actually apb+c means apb+c 0, but this is what we can say for this. If apb+c is 0 then apb b + c is 0 then definitely aqya +bakya + c -3abc = 0 This can be said for sure Here 55 + 17 + -72 a +ba+c is 0 55+ 17 how much 72 - 17 how much perfect so a +ba+c is 0 Now acube aqyapbicup c aqya +baky +cky minus 3 a b c how much -72 So if we produce these three - * - what happens Plus if we produce these three it must definitely be equal to that value.

[00:57:06]So apb+c is 0 so aq+bkya+ckya -3abc what will happen to the value of it will also be zero if tana value is 2 then cot of 90 -epstan of 90 -a see what cot of 90 -a means it is equal to what this is tn 90 -a means tan x is cot x reciprocal if tn x is 2 then cot x 2+ 1/2 what will happen see what happens randomly here and there some one three questions are given as light calculative but if you take the overall paper you will have many easy questions too