Alligation & Mixture 5 | Arithmetic | Quantitative Aptitude | CAT Exam Preparation 2024
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- Опубликовано: 6 сен 2024
- CAT PREPARATION 2024 I QUANTITATIVE APTITUDE PREPARATION for CAT 2024
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absolutely beautiful :)
Super concepts sir! The conceptual clarity im gaining by watching your lectures is way above any other source! Hats Off
Simply god bless you sir❤... Thank you for this service
I am from middle class sir , your video is like treasure for me to crack any exam I really bless you to stay 100+ years and continue your teaching
🙌
No 1000year sir I want my all generations to learn from you😄😄
Not only thousands years sir i want you to teach until the life is possible so that even CAT can qualify the cat exam..
Nitin tum bhi naaa 😂😊😅😢@@nitinsingh-vv6ru
17:26
Absolutely u are genius sir. No one like u
Videos are very detailed and easy to follow :) Thank you so much for your efforts :) Much appreciated!
Can anyone explain b method at 5.10
This is simply amazing sir.. You are doing amazing job .more than 50% people depends on you sir. Fantastic concept❤
5:50 another method: every wrong question takes away -5 marks
if you minus 240-165 = 75 it gives number of marks that are wrong and if you divide it by 5 then it gives total number of questions that were wrong and it's 15 remaining 45 questions are right
that is the easiest method to calculate this question
🫡🫡🫡
BLOWN AWAY
Each and Every Video is just amazing, I just can't highlight the fact more how much these are helping me.
Thanks
@@Rodha Sir, kindly solve this Q. By distance method…
mixture of 150 liters of wine and water, contains 30% water. How much more water should be added so that water becomes 40% of new mixture
@@MrVicky00768 ans:: 30----40---100, difference :: 10,60 ,,,, distance ratio:: 1:6 ,,==≥ weight ratio : 6:1 ,,, if 6 parts are 150 then 1 part is 150/6. ans :: 25
@@MrVicky00768 bro how do i send you the soln? i have solved this question !
@@MrVicky00768only water is changed however alcohol is constant in both the mixtures so simply equate alcohol of both the mixtures.
70% alcohol in first mixture is equal to the 60 % alcohol in the new mixture.
150 * 70/100 = 105
105/60*100 = 175 this is the value of whole new mixture in which 105 is alcohol so 70 is total water of which I already have 45 water so added water is 25.
difference method is more easy ... thanks a lot for providing these valuable lectures for free
Did u cracked cat??
Sir urs teaching way i like really i learn more from u sir tq
how to identify when to use difference ratio and when to use weight ratio?
Great methods sir wow❤🎉
Thank you sir..................
Thank you so much sir providing easy solving skills for difficult questions 🤗🙏
@2:43 why we are not taking 1.20 ........ 1.29 ........1.40 and get the ratio
Question @ 5:21 can also be solved by equation: 240-5W=165. It gives W (no. of wrong ques) = 15 ; hence, the number of questions attempted correctly would be 45.
Yeah that's right too.
why 5W
Sir how identify when to take weights ratio and when to take difference
Instead of writing 285/6 we can use 47.5 which is more convenient to handle
Great deed done by sir for us
we don't have words to explain it ❤❤❤
16:01 - Naughty Expressions by none other than our Ravi Sir.
Thank you Sir
For the train and bus question, we can also find the answer with keeping the total distance bus and train can travel in 6 hours
Bus = 240, Train = 335, Distance covered = 285
So difference = 45,45 Ratio = 1:1
If we divide 6 hours in 1:1, it becomes 3 and 3 hours
Now distance travelled in bus = 40*3 = 120kms
Distance travelled in Train = 55*3 = 165kms
Thanks 😊
but here we are comparing the distance right so shouldn't the ratio be compared to the total distance ,I did not get this part
@@avinav6687 same
@@avinav6687 Time will be used as the "weights" for different distances.
you are LEGEND sir, coaching classes didnt work for me so i studying from you thanks a lot for such a great content in free!
Don't know why I spent thousand of rupees on coaching class when all I do is watch only sir's videos because it is the only thing that is helping :)
Hii..... Can u help me with the study material... I hope u also just start it...
the best
Wonderful video. Sterday only I got this videos . Really amazing. it's very helpful for my bank exam mains preparation. Same type questions are asked in mains. So it's very useful. Thank you so much sir. Ur way of explaination are awasome. Really ur each video is fruitful. Thanks a lot.
Thankyou sir
5:05 alternative method;
Boys (y), Girls (x)
x + y = 150 ---- (1)
1.4x + 1.2y = 194 -----(2)
Multiplying equation (1) by "1.2" gives us ;
1.2x + 1.2y = 180 -----(3)
Equating (2) & (3) ;
0.2x = 14
x = 70
Hence no. of girls & boys are 70 & 80 respectively. 🧒🏻
that's the basic method evrybody knows that's why sir told the alligation one!
Fu*ck this x type methods... Nd fu*ck u too bloddy cheap
why did you multiply with 1.2
You are such a genius. Nobody ever thought of this method before you. Bsdk itna 5th ke baccha ko bhi aata hai bawli gand
@@user-hg1dn2du9u To eliminate y variable, you can also multiply it by 1.4 to eliminate x
sir first and third questions can be done by forming equations too, for the distance question question x+y=6 and 40x+55y=285 and equate we get answer easily. for students 1.2+1.4y= 194and x+y=150.
Thank you Sir 🙏🏼
From where 27:1 came?
8.1:0.3=27:1
23:53 won't the 5 wickets be multiplied with 28 (27 + 1) as ratio is 27 : 1
So, Till now ratio is 27/28
And This match ( last match) is 1/28
So for adding all the wickets we need to consider (28 * 5) = 140.
or explaining it simply previous 135 wickets + 5 (last match wickets) = 140 wickets in total
If someone agrees or disagree tell me.
No, Because the 1 in the 27:1 represents the wicket part of the match with 5 wickets and 37 runs and 27 represents the wicket part of the match before the last match(5W, 37R) and the question is been asked about the number of wickets before this match(5W, 37R)
In the question 11:30 can we also solve the question by comparing the distance when he travels only by bus and when he only travels by train i.e 240--[285]--330 , it will give the same ratio 1:1 which we can use to easily to solve the question ?
Yes I think it's correct.
Can anyone add solution by this way
Yeh 27 kha se aaya
Such application of allegation that too in any concept remarkable sir🔥
completed this lecture.
At 3:41 In the first question 194/150 = 1.29 so distance distance ratio should be 9 : 11. How come you are concluding it as 7 : 8 ? Someone please clarify.
By The way love your videos. I feel confident about CAT now.
I am also facing the same problem
The answer comes to 83 boys and 67 girls
Which is close to the answer ravi sir got but not accurate.
Yes, I faced the same issue when i tried to solve it on my own.
Actually I tried the 2nd method first but getting wrong answer. The logic seems correct, don’t know why the maths is not following the logic.
Sir, i get confused in where do i have to use the distance ratio and where do I have to use the weight ratio.
awesome
Can someone please tell me where I went wrong? I tried solving q1 with the alligation map method. But my answer is coming different. My b:g is 11:9.
Sir in 11:47, how you got to know the ratio (come from velocity) would relate with time not with distance?? Please, let me know.
If 10 kg of sugar costing ₹15/kg and 20 kg of salt costing ₹10/kg are mixed, find the average cost of the mixture in per kilogram .... By distance method I m not getting the answer can anyone explain me how to do this question with only distance method
Summarising the data given,
10 kg sugar --> Rs 15/kg
20 kg salt --> Rs 20/kg
From this we can derive weight ratio = 10:20 --> 1:2
Therefore Price (distance) ratio = 2:1 (just inverse)
Now, the task is to find the mean price between Rs 10 and Rs 15 in the ratio of 2:1 (derived above)
This means that the mean price/ average price (Let's suppose X) lies :
2 parts less than 15, and
1 part more than 10
In simple language,
Average price = 15 - 2 part )
Or. ) -------- (i)
Average price = 10 + 1 part )
Difference between 15-10 = 5 units
Total of 2:1 ratio = 2+1 = 3 parts
So, 5 units has to be divided among 3 parts.
So, 3 part = 5 units
1 part = 5/3 = 1.67
2 part = 10/3 = 3.33
From (i)
15 - 3.33 = 10 + 1.67 = 11.67
So, Rs 11.67 is the average cost of the mixture in per kilogram.
You can watch Sir's 1st lecture.
It's kinda unfair that they're taking cricket, etc as base topics that everyone should be aware of. They don't do it with other sports, and its not so easy to know that the bowling average needs to be minimized for improvement, and not maximized (eg. in the case of batting average, it's the opposite; maximization increases average)
At 4:45, why did sir take the total collection? Don’t allegations require us to take only per unit quantities?
In last question how the ratio is 27:1 ,please tell me?
🔥🔥🔥🔥
Sir, in the amount 194 rupee question, when we do by second method, the distance ratio is 9: 11 and not 7:8. Why is that?
Yes, I am also getting the same, I am not able to understand
@@sumanacharya461 +1
Yes i was also getting the same answer 9:11 , not 7:8
same here 9:11 not 8:7
Solve by fraction value
Super approach to the questions, thank u sir for this effort
Solve 1st question by fraction value
How am i supposed to know when to use which concept. when i saw this question which is displayed at 12.35 of this video. The 1st concept which stroke my mind was profit and loss and when i applied that it gives me a whole different answer. pls help me with it.
In the question where total distance is 285 km and speed of bus is 40km/h and the train is 55km/h can't we just say that total distance if bus travels 6 hours is 240, total distance train travels in 6h is 330, therefore, ratio of distance is 1:1 however ans is not correct in this method
yaa
@@nitheshkumar7753 its a same thing bros
No bro I think you need watch this question again and again to understand according to me Its nice concept for this type of question
for question of 285 km .....40 km at 1 hr 55 km at 1 hr
80 km at 2 hr 110 km at 2 hr
120 km at 3 hr 165 km at 3 hr
most simple method I got ###
in the fst question 1.2:1.4 is 6:7 right ,why it is 7:8.
oo sry i got it,my bad
@@Itsmedevi33103congrats🎉🎉😂😂
@@mr.nobody656 thanks 😂.
Thanq sir
Great as always❤️🔥🔥
Best video of yours ❤️
sir but distance/time = speed 12:25
Sir when to take difference ration and weight ratio??? It would be easy if we get to know this small detail ??
Hi could you figure this out? I'm still confused.
@@kasturiborgohain5473 same here
13:21 Sir in that ques it asked what percentage remaining should be sold to gain 20%on whole.
1/3 of 450 is 150 and sold for 10% loss means at 135.
Now,
Remaining is goods is of ₹300
20% of 450 = 540
And, we have to recover that ₹15 amount also.
It will be ₹555
Remaining goods ₹300 will be sold for 85% profit = 300x185/100= ₹555
HENCE,
We gained the ₹540, which is equal to 20% of ₹450.
So, the remaining goods should be sold at 85% profit.
out of the 540 you have already earned 135 rs so you need to earn only 405 rs more on remaining 300 .hence what percentage profit of 300 will be 405 ............it will be 35%
A vessel is full of a mixture of kerosene and petrol in which there is 18% kerosene. Eight litres are drawn off and then the vessel is filled with petrol. If the kerosene is now 15%, how much does the vessel hold?... Sir, please help in this question using distance ratio concept.
At 10:42 we can also do
40*6 = 240
55*6 = 330
240----------285------------330
ratio is 1:1 so time is equal 3 hours in both ,
now distance travelled in train = 55*3 = 165km
distance travelled in bus = 40*3 = 120 km
yes i also did the same thing , but have a doubt here what is the ratio we are getting here and how, for eg u havided time into 1:1 ratio but why , as the the diffrence we are trying to make is simply from dffrence and not by any per hour , hope u understand and explain the same.
I have doubt in 1st question if we do it by taking average then the ration of boy and girl is 11:9
Ya same doubt
Can u pls put the average method for this question Mr abisheik malik bro
It would still be 8:7.
@@Enid6715 no its coming 11:9
@@deepabhatt7119 Deepa Bhatt I'd tell you the method I've used (I didn't solve in decimals since they were recurring but in fractions)
take 1.2 and 1.4 write them as 12/10 and 14/10 multiply in denominator and numerator by 15 (to get LCM of 150 in all 3 denominators) and get 180/150 and 210/150 --> (194-180) : (210-194) = 14:16 = 7:8
Why can't we solve the third question by total distance method (like question 1 and 2). Meaning we solve it like:
If all travelling was done by bus. It would have been 6×40 =240 km and if all travelling was done by train it would have been 6×55= 330 km. Total distance travelled is 285. Distance ratio is 1:1 so weight ratio also 1:1. Since we have taken out total distance in the weight ratio of 1:1 so we divide the total distance travelled that is 285 km in 1:1 ratio meaning 142.5 km by bus and 142.5 km by train.
I understand the other method used in the video, but what if i did it by the other method why am i getting a different answer?
How will i know which method to use in exam. Its confusing me.
Someone please explain.
depends on questions
@@theharshkashyap and how will I know which method to use in exam?
@@Aryan-jm2gr BRO practice krte krte khud smjh aane lagega
Distance will be constant..so this method will give wrong ans..
What if we take time he requested to travel
Won't it be correct???
There is a way to get an idea. Remember in first lecture of Mixture and Allegation, when sir was doing derivation in that see-saw method, we got an equation-
w1d1=w2d2
How did we got this? Because of the fact that 'w' is inversely proportional to 'd' , hence the above equation.This is the funda!!
To determine what data should be used in weight method, this should always be there on back of our mind that the 2 variables should have inverse relationship.
In TIME SPEED AND DISTANCE, we have-
Distance = Speed x Time.
So, only Speed and Time have inverse relationship. So, we have considered 40 km/hr and 55 km/hr as 'Distance' and respective time have been taken as 'weights' in the "See-Saw weight method".
Using this same technique, we can also understand that Cricket wala question.
Bowler's Average = Run conceded / wickets taken.
Here, Inverse relationship is there between Bowlers's Average and Wickets Taken.
(More the number of wickets, less will be the Bowlers Average i.e. runs conceded to pick up 1 wicket)
Hence, Bowler's average and Wickets Taken have been used in see-saw weight method.
Hope this helps.
So this method can help in almost all section of arithmetic section and I think one of the best method this is.
Thanks Sir because of you student who don't have financial aid, can pursue MBA.
Can somebody help with last question, how the actual ratio 8.1 : 0.3. becomes 27:1
Simplify by 3
0.3×27= 8.1
8.1 : 0.3 = point point cancel what is left now ? 81 : 3 then cancel both of them by 3 final value = 27 : 1
@@internetofindianthings Thank you brother ❤️🔥
@@internetofindianthings thanks 👍🏻
but sir i am getting confused i mean what ratio i have to take as a diffrence ratio or weight ratio i mean what is the difference in both of them please tell me anybody else who knows this
I think the cricket question answer is 140 (because 135+5)till the last match
No the question is saying he takes 5 wicket in next match, and is asking till the last match.
I was thinking the same
S
kindly solve this Q. By distance method…
mixture of 150 liters of wine and water, contains 30% water. How much more water should be added so that water becomes 40% of new mixture
ans?
i want to ask that are these questions are CAT level questions? i started my preparation 10 days ago. so didn't have much idea. please help
Mee tooo
17:33 is it possible to solve by averages? Like they have X number of games played and average 15.8 bowling average and 7.4 reduces the average by 0.3, I understood the alligation concept though just curious. Or not since we don't have number of games
Also great content.
In the last question, when I am doing with method of run, the rations comes out as 1:26? Can anyone help?
In the examination question of 60 questions....i think the answer would be correct- 35 and wrong- 25...then only it's coming (35*4)+(25*1)=165
Here it's given (45*4)+(15*1)=195..but the total marks is 165
If we do the sum by the basic method by assuming correct answers as x and wrong as 60-x then
4x+1*(60-x)=165
3x=105
x=35
Thus correct=35 & wrong=25
What was shown in the video is the only correct answer. The questions answered wrongly are awarded (-1) marks. You are supposed to subtract them from the score you get by answering correctly. 45x4=180. 15x(-1)= -15. 180-15 = 165.
If we check the solution by loss and profit formula which is x-y-xy/100 the answer is not coming 20% for 10 loss and 35% profit
12:29 sir this question i solved by taking time in place of speed so i got ration 11:8 by reversing them for distance i got 8 :11 ,285/19 , so got the distance traveled by bus is 120 and by train 165 is it right way or not
10:26 55-285/6 how can difference 45/6 come it should be 30/6? Correct me if i am wrong sir?
Can anyone tell how in the last question 27:1 came ?
8.1÷0.3 ..27:1
What if the student didn't attend some of questions?
i love u sirrr
Alternate Method :
Total distance by bus = 40x6 = 240
Total distance by train = 55x6 = 155
avg. = 285
Difference(Bus) = 285-240 = 45
Difference(Train) = 330-285 = 45
Distance ration = 1 : 1
Weight ratio = 1 : 1
Divide 6 hours in 2 parts
By bus = 3 hours
By train = 3 hours
Bus = 3x40km/h = 120km
Train = 3x55km/h = 165km
I tried with the same method and got the distance ratio as 1:1 as well but how are you so sure that the weight ratio is for time? I mean isn't Weight and distance inversely proportional and here distance and time are directly proportional?
@@maitrychaudhari5534 no its not about inv proportionality, if u use distance in allegation. u will get ratio of distance, if u use speed then u will get time same for profit and loss, u will get ratio of cp in the answer. Although i even cant understand how 1:1 in distance will be transformed into time here.
Sir in last question why we subtracted 15.5 and 7.4?
sir ur always great
hi fox is lit🔥
3:38 Sir, the calculation is also very easy, we just have to convert the decimal value into fraction which becomes 12/10 for boys and14/10 for girls. There after we make the denominator value as 150 by multiplying both the fraction value by 15 which becomes 180/150 for boys and 210/150 for girls. Calculation becomes very easy from here onwards, no need proceed with decimal value.
Sir 1st question
In second method I m getting ratio 11:9
Plz help
These videos can't be free , after clearing gate I will surely contribute to this channel
bhai videos CAT ki hai ...smbhaal k
@@nikhilsingh2523 😂
@@nikhilsingh2523 he said after clearing gate...then he join cat/this channel
How to solve this without alligations?
Selected and spectacular questions
ye last wale me 27:1 kaise aya pls help
in ratios we have convert the decimal into a whole number
8.1:0.3
8.1*10:0.3*10(we have multiply 10 bcz its depend on no of digits present)
81:3=27:1
how this 27:1 came ??????
❤❤❤
Wy have you used -60 sir even when there's no negative marking, 1 mark will be given if wrong then it must be +60 on the left side.
No, you've misunderstood the question. There is a negative marking of 1 mark for each wrong question. That's why -60 is rightly used in the question.
Give it another read. I bet you'd get it right.
Y we take all boys and girls????
Good evening sir,If in the bus and train question if i would alligate as per distance, then the distance ratio still comes as 1:1 in that case the weight ratio would be for what quantity? will it be for time or distance? if distance then the answer changes.
Here time is the weight ratio
Sir , in question at 7:45 why did you take wrong no of questions marks on left side and right no of questions marks on right side ?
Why wrong ans has taken in type 1 and not right ans in type 1 please explain 🙏
15:55