Latest Elitmus Aptitude Question SOLUTION: There is csk full of milk.'E' litres are drawn from the cask and replaced by water.this process is repeated.now the ration of milk and water in cask is 16:9.what is capacity of cas

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(#M40022972) ELITMUS question elitmus Keep an EYE

There is csk full of milk.'E' litres are drawn from the cask and replaced by water.this process is repeated.now the ration of milk and water in cask is 16:9.what is capacity of cask in litres

Asked In Elitmus Anuj kumar (10 years ago)

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kratika jain  (10 years ago)

capacity 5E
milk finally +nt= 16/25
x(4/5)*(4/5) implies (1/5)*x was drawn in each turn...
x/5=E thus x=5E

Is this solution Helpfull? Yes (10) | No (1)  

Shobhit Varshney  (10 years ago)

total milk=xE liters
after first replacement milk=(x-1)E and water= E
after second replacement milk=(x-2)E and water=2E
ratio= (x-2)E/2E=16/9
X=50/9E liters

Is this solution Helpfull? Yes (9) | No (4)  

sourav  (10 years ago)

cant be determined
bcz....no. of repetation is nt given

Is this solution Helpfull? Yes (6) | No (3)  

Dushyant Kumar  (10 years ago)

x=5E.
let cask capacity be x
(x*(x-E)/x*(x-E)/x)/((x-(x*(x-E)/x*(x-E)/x))=16/9

Is this solution Helpfull? Yes (2) | No   

Azizul Rehman  (10 years ago)

The total capacity is 5l and E=1.
By Assuming Total value as X and replaced value as E and putting in [X(1-(Y/X)^n]
we get
[X(1-(E/X)^2] would be value or remaining milk
and so Water added would be X-[X(1-(Y/X)2] (Total capacity- Milk present=Water)

And putting against the given ratio of 16:9
X-[X(1-(Y/X)2]/X-[X(1-(Y/X)2]=16/9
Solving would give the result of X=5 and E=1
:)

Is this solution Helpfull? Yes (2) | No (1)  

rohan chawla  (10 years ago)

E=(9/25)X

Solve for any values of E and X

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KISHOR KUNAL  (10 years ago)

answer is 7 ltr.
let capacity of cask is y ltr,when the 1st time E ltr milk is replaced by water,then the ratio becomes (y-E)/E,next time ratio becomes (y-E)^2/E^2 & so on as we know that 9 is the square of 3,and 9 has no other power of any no,so e=3 and y-3=4 hence y=7 ltr.

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naga sarath chand  (10 years ago)

capacity = 25*E/9

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