AIIMS CRE UDC math revision | Top 25 question |

[00:00:01]How are you friends? I hope everything will be fine. I have brought one of the best Maths questions for all of you which you will get as it is in AIIMS exam. You can see it. Let's start. The questions are good.

[00:00:12]All the topics are already there in it. So Lakshmi Narayan deposits a certain sum of money at 20% rate of interest compounded annually at the end of two years. Lakshmi Narayan received a total amount of 5 to 1 to 8 what was the sum of the money deposited by Lakshmi Narayan.

[00:00:27]Sam has asked. That means its principal has asked us. And what do we have? The amount we have is 52128.

[00:00:36]Ok? What does 20% mean?

[00:00:38]Change it into fraction. 1/5 means something is becoming six from five. And in 2 years something from five will again become six. 5 * 5 = 25 6 * 6 = 36 Do it in this manner in the paper also.

[00:00:49]And it gave us the value of 36. 52128 You cut this with N. 9 9 * 5 becomes 45 and 7 1 9 7 63 and then this will come 82 9 * 9 and 9 * 2 and 9 * 4 this will be you will subtract by four 4 * 1 = 4 4 * 4 16 1 9 4 * 4 and 4 8 go ok this has come the value of one we have got 1448 if we have to take out 25 then we will do 1448 * 25 25 * 8 = 10 and 25 * 4 = 100 and one more zero will be added.

[00:01:27]12 25 * 4 = 100 and 12 112 25 * 1 = 25 and 10 35 and a 36 36200 we have the principal. The answer is in front of you. The second question we have is about probability and probability will definitely come in AIIMS.

[00:01:44]Ok? And the question is there are two dice. Let's toss both of them. Ok? And we have to tell us the probability that the sum of the two should be greater than eight.

[00:01:57]So, let's see what the total outcomes are? The total outcome is a square of six because we have two dice. That means we will have a total outcome of 36.

[00:02:06]Now calculate the probability. First find out what we have to find, observer means the sum that we have to find, that is, if you see 1 2 3 4 5 6, then which two digit sums will be greater than eight? Four and five is 4 5 4, right? And here comes four and six. And this will come 6 and 4, then will come 5 and 6 and 6 and 5, then will come 3 and six and six and three, then will come 5 is also greater than eight and six is ​​also greater than eight, okay, apart from this there is no other, so how many are there, 1 2 3 4 5 6 7 8 9 10 10 is the total and the total outcome we have is 36, 2 * 5 = 10 and subtracting it from two, we get 18 5 / 18, the probability is 18.

[00:03:04]Ok? What is the answer? Second in a divisor is 10 times the quotient and five times the remainder. If the reminder is 62 What is the dividend? So what is a dividend? Formula Dividend equal to divisor * quotient plus reminder.

[00:03:29]Ok? He said there are five times reminder. So the reminder is 62.

[00:03:34]What will be his five times? Divisor.

[00:03:37]Ok? This will come to 310. Ok? He then said that the divisor is 10 times the quotient.

[00:03:44]So what is a divisor? 310. So what will the content come from here? 10 quotient equal to 310 and q equal to will come to 31. Ok? Now we have to withdraw the dividend. So we have divisor 310 and * 31 and plus 62 so this will give us the answer. If you multiply this by itself, it becomes 961, add one zero to its square + 62 and now if you add it, its answer will be 9672. Is it in the option? Yes, here is the answer. Okay friends? The arithmetic mean of 3 seven 11 dash dash 51, so see what is the gap four between these two, there is also a four between these two, when you find the gap four of four everywhere, then sum the last and first and divide it by two, your arithmetic mean will come, it will come 54 / 2 that means 27, its answer will be like we find the average, similarly a shopkeeper marks an article at x, that is, let us have CP and let us have MRP x.

[00:04:49]He said that he gave 60% discount here. And sold it for ₹396. But he charged the tax. VAT is a type of GST. That means it will come in his profit only.

[00:05:00]So let's play reverse 396*. We have to calculate the MRP. So round down 100 to 40 * 100 / 120 120 because he has taken 20% weight so it will be 120. Weight is a type of profit. So don't get confused. If tomorrow he asks for GST, then you are paying GST extra to him, right?

[00:05:23]After that discount he is charging GST from you.

[00:05:25]So you are giving him that extra 20%. So that's why it came out to be 120. Now divide.

[00:05:31]20 * 2 = 24 times you divide it by 20 * 5, 4 * 6 = 24, 4 * 9 = 36, 4 * 9 = 36, 3 * 2 = 6, and you divide it by three = 33, you divide it by two and it comes to 50, right? 5 * 3 = 15 No, two is left here too.

[00:05:55]25 will be deducted from two, that's what I am saying, there is something wrong somewhere. 25 3 75 25 * 3 = 75 and 7 82 this is our MRP answer.

[00:06:06]If you have any doubt in any question, it is wrong or my solution by chance is wrong, then you can tell me by commenting or you can tell me in the Twitter group. Can you send me a screenshot. A Boat of Mr. Ajay Takes 19 Hours. Look, this question came in Court Attendant and I spent about two to three minutes on this question. Why? I did not read the question properly. Now let me tell you what the problem was. It said going downstream from G to Y and coming back. That's all I read. I thought whatever went in, it would have come back.

[00:06:35]180 km It has given the distance from g to y. That means 180/ would have gone downstream x + y and + 180/ x - y would be equal to 90 hours given but I did not read this mid point, when it came back it just stopped in the middle, so that means it did not come back at 180, it came at 90 and it has given a speed of 4 km per hour downstream, that is 180/ x + 4 + 90/ x - 4 = 19 The best way is to try by keeping the option because if you will cross multiply it, see, if you take the LCM here, x² - 16 will come, then taking the common from above, it will go to the side of 19, so it will become a very long process, try by factorization, if it is cutting by 14 first, then 180 / 14 + 4 + 90 / 14 - 4, then see this will come here 18 will go by 18, this will complete it 10 times, okay, it will complete it in 10 hours and this It will come here and it will go from 10 to 10 9 times, it will complete it in 9 hours, if we add 9 and 10 then it will be equal to 19, that is, the speed of our x will be 14 km per hour, so we found the first option correct, but if the first one is not found, you can try other options also, it will take much less time which will take more than the factor method. Ok? There is a train A which is 213 meters long and the other train is 172 meters long. Obviously, it will have to be added because speed is given in both and it is in opposite direction. We have been asked how long will it take to cross each other? 63 and 135 will become 198 but convert it from kilometer per hour to meter per second, divide it by 18 [nasal sound] it will become 11 times. 11 * 5 = 55 How much will be left over? 5 and 8 and 3 and down to 55 okay? Cut from five to 11. If you subtract 11 * 3 = 11 * 5 and 11 * 5 = 5 then the answer will come in 7 seconds. This is the correct answer.

[00:08:44]And this question is also good. There are full chances of appearing in the exam. Mean and mode will give 100% from median. Let a be the mean of 3 and 27. So what is mean proportion? It is under ab, that is, you will do 3 * 27 and get the value of 81, that means 9a. Now B said, B said the third proportional, the third proportional is b²/a, that means we have 9 * 9 / 3, if you subtract 3 from three, 3 * 3 = 9 9 * 3 = 27, the value of b is 27, he has asked to find the fourth proportional, a means 9, b means 27 and a + b means 36, so the value of the fourth proportional is b * c/ a, that is, 36 36 * 27 / 9 9 * 3 = 27 and 36 * 3 = 108, 108 will be its answer. Ok?

[00:09:47]A close cylindrical reservoir with a radius of 14 cm. Is. r Its 14 cm. Is.

[00:09:55]Its end height is 10 cm. Is. Ok? And it says that 20% of it is painted in blue colour.

[00:10:05]And the remaining 80% is painted in red color. So it asked how much of the total surface area is painted red? That means we have to remove 80% of the TSC.

[00:10:17]What is the off cylinder of a TSC? 2πr h + r okay? 2 * 22 / 7 * r is 14 and if you add r and h then you will get 24. From this we will go 2 times 2 * 2 i.e. 4 * 2 = 8 4 * 2 = 8 * 24 and we have to find 80% of this, if we multiply 80 by 100 then 20 * 4 20 * 5 is fine and 24 * 4 = 96 96 * 88 / 5 will come out like this. Now multiply 96 by 88 on the side 8 * 6 = 48 8 * 9 72 and 4 76 will be the same 8 6 14 13 one 14 seven and one 8 48 let's do it here 84 48 divide it by five 5 * 1 = 5 5 * 6 = 30 and 5 * 9 = 45 not 5 * 9 = 45 not 5 * 8 = 40 and 5 9 45 and 5 * 6 = 30 this will be its answer. Okay friends? A tap field assistant in A fills it in 12 hours and there is another tap inside B which empties it in 48 hours.

[00:11:40]Put the negative on it.

[00:11:42]Sometimes there is confusion in the exam.

[00:11:45]You just add it and go away. This will be done in 4 hours and in 1 hour it will be empty, meaning it will do one work at a time, whatever will be negative. He has said that how much time will it take to fill 1/4 part if both are opened together.

[00:11:59]What will be 1/4 of this? It will be 12. And if both are opened together then if you do 4 - 1 that means 3 12/3 then 3 * 4 = 12, in 4 hours they will fill 1/4 part. Ok?

[00:12:11]A B C invested in the ratio 3 45 and timing of their investment is in the ratio A B C if their profits are distributed in their well it means investment * time equal to profit okay if we have to find out the value of time then we will have to calculate profit upon investment then we will get the time ratio so what is the profit ratio 21 36 25 and divide it by 3/4 and like this you will cut five by three times four times nine times and this will go five times so this is what we have the time ratio 7 9:5 okay it is a cylindrical pillar whose diameter is 14 centimetres. If D4 is there then let's assume the radius will be seven cm. And our height is 3 meters and this is 300 cm. Do it.

[00:13:10]What mistake did I make in the paper? This means the question was not wrong. It took time because friend, there were 14 and these three. I kept multiplying by three again and again.

[00:13:20]But later when I checked, it took time to find out what was wrong. So it was 3 meters, so it had to be multiplied by 300 meters centimeters. Ok?

[00:13:29]So what did the curved surface area come from?

[00:13:32]What happens to the cylinder with CS? 2πrh is 2 * 22 / 7 * 7 * h so we have 300 so 7 goes to 22 * ​​2 = 44 and * 300 this will come to 3 * 4 = 12 3 4 12 a 13 this will come from its CS. But we have to find out the cost of painting. So what will be the cost of painting? Do 132 * 2.4, we will add double zeros later.

[00:14:03]Look, 4 * 2 = 8 and 4 * 3 = 12 4 * 1 = 4 1 5 and 2 * 2 = 4 2 * 3 = 6 2 * 1 = 2 this will come 8 6 take out this and two zeros like this but there was one point, remove the point then 31680 its answer will come 31680 second option is correct a stationery shop sells notebooks and pens okay the cost of four notebooks and six pens is 2 8 so you assume 4n + 6p = 228 and 7n + 6p = 333 you will find it from here, do the minus, this will be deducted, this will come -3n and this will come - 500 1 and gone by minus three, this will go by 35 35 the value of n will come out to be 35 and he had asked the value of n only. The answer has come.

[00:15:11]Two equal sums is two equal sums of money lent out for two years. Ok?

[00:15:17]He has borrowed two loans for two years, one at 5% simple interest and the other at 7% simple interest. The difference between these simple interests between them is ₹40. So the principal asked us.

[00:15:30]Look P * R1 R2 do it. R2 * T/ 100 - P * R1 * T/ 100 P * T/ 100 Take common. R2 we have 7%. - 5% is R1. And this thing is given equal to 40. Ok?

[00:15:53]P * T we have 2 years up to 100 and this will come here 2% equal to 40 2 * 2 = 4 and four by four we will be left with 10 here. How much will P cost? Simple 100 answers.

[00:16:10]Ok?

[00:16:12]Four identical cubes are placed one after another and the length of the cuboid. So formed is 256 cm. Find the volume of a single cube. Look, whenever we assume that there are two cubes, one of which is 6 cm long and another cube of 6 cm length and these three cubes of 6 cm length, if we make a cuboid by adding them, then the length of all three will now become one, which is 18 cm. If we want to find the length of the cube, then divide the length of the cuboid by the number of cubes and you will get the length of the cube which is 6 centimeters.

[00:16:49]Ok?

[00:16:52]Now, for example, there's 256, and we have four cubes that together form a cuboid that's 256 in length. If you divide 256 by four, 4 * 6 = 24 4 * 4 = 16, that is, we get the length of the cube or the side of the cube as 64 centimeters. Now we have to find the volume.

[00:17:10]So how will the volume work out?

[00:17:13]Do the hole cube of 64. You first square 64.

[00:17:16]4 16 4 6 24 * 2 48 and one 49 and 6 * 6 = 36 and 40 This gives the square of 496 Now multiply 64 one more time 4 * 6 = 24 4 * 9 = 36 and 2 38 4 * 4 = 16 and 6 * 6 = 36 6 * 9 = 54 and 3 57 and 6 * 4 = 24 Now add this four 8 6 14 seven and three 10 and one 11 six and five 11 and one 12 four and one five and one six and 26214 Answer is the first option answer ok In a cricket match a batsman scores 90 runs means he scores 90 runs in total out of which there are seven fours and four sixes, that is he hits seven fours and six sixes, so 7 4 28 plus 6 4 24 means he hits a total of 52 runs from the boundary.

[00:18:23]Now how many runs are left out of 90, 38?

[00:18:27]He has asked what percentage is it of the total, so 38 / 90 = 100, so one zero minus one zero, 380 / 9, now divide it by n, we do normal division like this, 9 * 4 = 36, two zeros, 9 * 2 = 18, then two zeros, now two zeros will remain, so 22% will come, its answer is correct, it is a rectangular garden whose length is 25 meters, make a rectangular garden like this. This became our rectangular garden. Its length is 25 meters and its breadth is 18 meters.

[00:19:18]He made a uniform path of 2 meters wide on all its four sides.

[00:19:20]Because it is given outside, hence it is given outside. So it is 2 meters from here also. It is 2 meters from here and 2 meters from here and 2 meters from here. So he has said that the parameters of the outer area i.e. the outer area of ​​the path have to be given. So look, 18 is inside. Now two are added here, two are added here, so it increases to 18 + 4 meters, that is, it becomes 22 meters outside. 25 This is the inside. Now two and two increased to four. That means if you do 25 + 4 then the outer length becomes 29 meters.

[00:19:54]Now the parameter is 2 * l + b. Ok? This is 29 we have. It is 22. If you sum these 9 2 11 1 5 and multiply it by two, that is, our outer parameter will be 102 meters.

[00:20:10]This is your answer. There is a spherical tank whose diameter is 28 m cm. Is. So the diameter is 28 cm. Is.

[00:20:20]So how much radius will you get? 14 cm So we have to find the total surface area i.e. 4πr². So 4 * 22 / 7 * 14 * 14 7 2 14 4 * 2 = 8 * 2 = 16 8 * 2 = 16 and a 176 * 14 6 = 84 and 14 * 7 = 98 and 8 106 and 14 * 1 = 14 10 2464 will be its answer. This is the correct answer. If you have any doubt, please comment or you can join Twitter and tell me there.

[00:20:59]Any query. How many sides does a regular polygon have if each interior angle measures 150? Look, there are two methods for this, both of which I will tell you.

[00:21:11]Interior angle equals n - 2 * 180 / n ok? The interior angle we have is 150. n - 2 * 180 / n is one zero to one zero. 3 * 5 = 15 and 3 * 6 = 18 this gives 5n = 6n - 12 and this gives n = 12. Ok?

[00:21:40]So let me tell you here. n = number of sides. So our answer came out to be 12.

[00:21:48]This is one method. There is one more method. Look, if the interior angle is 150, what will be the exterior angle?

[00:21:54]180 - 150 means 30. So if you divide 360 ​​by 30, the number of sides will come directly.

[00:22:03]12 Its answer has come. So you see whichever formula you feel is right, use that method. There are two banks. A & B offer loans at 3.5% & 6.5% per annum. Ajay borrowed ₹60000 from both the banks separately, meaning and find the positive difference between the amounts, that is, the principal is given to us in this.

[00:22:27]I had done it earlier, just now P * T/100 and it will come here 6.5 - 3.5, we have to find this, the complete P is given to us 260000 up to 100 and the time given to us is 2 years and this will come to us after subtracting three two zeros, two zeros gone 3 * 2 = 6, that is, if we do 2600 * 6 then 6 * 6 = 36 6 * 2 = 12 and three 1500 will come, so this will be its answer, its answer will be 515600.

[00:23:06]The average monthly salary of all workers in a factory is Rs 4000. Ok? And the factory employees 50 technicians, their monthly salary is 6000 and the average monthly salary of non-technicians is 3000. So we have to tell the workers. This must be related to menstruation. Mixture and alligation wala. I am saying menstruation. This has become a matter of mixture and alligation. Ok? What happens in this is that you write 6000 here.

[00:23:32]These are tech guys who are 50. And the non- tech guys have come here who are 3000 and overall we have 4000. This will go to 2000 and this will go to 1000. Ok? That means 1 2 has come.

[00:23:50]Now he asked how many total workers are there?

[00:23:52]So how much value did we have for one? 50 because there is only one tech guy, so if we come in one ratio then there were 50. Now take out the overalls.

[00:24:00]We have three, if you add 3 * 50 then we will have a total of 150 workers.

[00:24:05]150 is the answer.

[00:24:09]The sum of the present age of Lokesh and Taresh. So Lokesh plus Taresh = 28 years and after 2 years Lokesh becomes three times older than Taresh.

[00:24:25]Ok? This is it. Now look at this, after 2 years, that is, after 2 years, it will be 2 years bigger and it will have increased by 2 years. So if we add 4 years in total, it means 32 years.

[00:24:35]So the sum of these two is equal, right? The value of 4x is equal to 32. The value of x comes to us at eight. Now he has asked about Lokesh's present age, so first we will find out the age after 2 years.

[00:24:45]8 * 3 = 24 and then subtract two from it because this was after 2 years. This would be the present age 2 years ago.

[00:24:53]Ok? If you subtract two from this, the answer will be 22 years. This is the correct answer.

[00:25:01]A stationery shop offers a scheme buy 10 notebooks get two free.

[00:25:06]Write the free amount at the top and the remaining total at the bottom * 100, so if you do 1/6 i.e. 1/6 * 100 then almost this 16 will come out to be 2/3%. Ok?

[00:25:22]Now the value of one notebook is Rs 25.

[00:25:25]Priya has to take 24. So 24 * 5 = 120 and 24 * 2 = 48 and 12 = 60 i.e. total money she will spend is Rs 600. So he has said that how much difference will there be in the regular price and the discounted price, the amount that she will invest, then make it 1/6, if you deduct it from 6 then there will be a difference of ₹100 directly, the matter is over, because it is 1/6, if you calculate the discounted value according to this then this will come and its value which is the fraction is 1/6, or you can do this that if you do 600 * 5 / 6 then this means she will give ₹500 and she had 600, so she got a difference of ₹100. Ok?

[00:26:10]A parallelogram has a side of 12 cm. And 9 cm. Long The length of one of its diagonals is 15 cm. What is the area of ​​the parallelogram? This is our parallelogram.

[00:26:25]Ok?

[00:26:27]This became its diagonal. The diagonal of a parallelogram divides the part into two equal triangles.

[00:26:33]So we have 12. This is nine we have and a diagonal 15. These two triangles are congruent. Their area is equal.

[00:26:43]So you can find the area of ​​a triangle because we have its value given to us. Take this out too. Take this out. No problem. Only one thing will be required. Both sides are equal and the value of the diagonal is also equal. So find the area of ​​a triangle and multiply it by two.

[00:26:58]You will get the area of ​​the parallelogram.

[00:27:03]12 9 and 15 is a triplet because 144 + 81 means 5 2, so it comes to the value of 15, which means it is a triplet. If it is a triplet then 1/2 * base * height 2 * 6 = 12 6 * 9 54 and multiply 54 by two. The area of ​​108 parallelograms is reached. Ok?

[00:27:25]Well, maybe its formula is 1/2d1 * d2 or not?

[00:27:34]This is his, not Rob's, it is not his, it is some other area of ​​it, I am not able to remember [nasal sound] now when I will tell you, by the way, okay, thank you so much friends and please do subscribe, I am bringing good questions, friend, I am also working hard because I also have a paper and I will definitely tell you after giving the exam, whether the questions came from my PPT or not, if they came, then please do give a review, otherwise refuse, it is okay, you can unsubscribe and go away, I have no problem.