Latest TCS Aptitude Question SOLUTION: Three vessels having volumes in the ratio of 1:2:3 are full of mixture of coke and soda. In the first vessel ratio of coke and soda is 2:3 in second ,3:& and in the third 1:4 if th

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Three vessels having volumes in the ratio of 1:2:3 are full of mixture of coke and soda. In the first vessel ratio of coke and soda is 2:3 in second ,3:& and in the third 1:4 if the liquid in all the three vessels were mixed in bigger container what is the resulting mixture of coke and soda.

Asked In TCS SHUBHAM SONI (9 years ago)

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Souradip Nath  (9 years ago)

Let us consider volumes of the 3 vessels as:-
Vessel 1: 10x
vessel 2: 20x
vessel 3: 30x

Therefore,

Coke1(Coke in vessel1)= 2/5*10x = 4x
Soda1= 3/5*10x = 6x

Similarly,
Coke2= 6x ; Soda2 = 14x
and
Coke3= 6x ; Soda3 = 24x.

Therefore on mixing,
total soda = 44x
total coke = 16x

Thus,

Coke : Soda = 16x : 44x = 4 : 11

Is this solution Helpfull? Yes (16) | No   

RITESH KUMAR  (9 years ago)

let volume of 1st can is 10 ltr ,2nd can is 20 ltr and 3rd can is 30 ltr
coke in 1st can is 4 ltr
soda in 1st can is 6 ltr
coke in 2nd can is 6 ltr
soda in 2nd can is 14 ltr
coke in 3rd can is 6 ltr
soda in 3rd can is 24 ltr
resulting ratio of coke and soda=(4+6+6):(6+14+24)=16:44=4:11

Is this solution Helpfull? Yes (8) | No   

Abhishek Mitra  (9 years ago)

consider that the vessels had x,2x and 3x volume of mixtures
now
1st vessels:
has
2p and 3p amount of coke n soda
2nd vessel:
3p and 7p(i thought 7 is mistyped as"&")
3rd vessel:
1p and 4p

now in the total mixture we hv
coke=(x*2p)+(2x*3p)+(3x*p)=11px
soda=3xp+14xp+12xp=29xp

so now coke :soda=11:29

Is this solution Helpfull? Yes (6) | No (8)  

sundar  (8 years ago)

RATIO OF VOL. OF VESSEL=1:2:3
1).COKE:SODA=2:3
2X+3X=1
X=1/5
SO...COKE=2X=2/5 AS WELL AS SODA=3/5
2.C:S=3:7
3X+7X=2
X=1/5
SO..C=3/5 AS WELL AS S=7/5
3).c:s=1:4
1X+4X=3
X=3/5
SO C=3/5 AS WELL AS S=12/5
TOTAL COKE:TOTAL SODA=2/5+3/5+3/5:3/5+7/5+12/5=8/5:22/5=4:11

Is this solution Helpfull? Yes (1) | No   

ASHUTOSH KUMAR  (9 years ago)

4/11
5+10+5=20
Now divide 20 in the given ratio & calculate for each vessel

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