Official Quant thread for CAT 2013

3 vessels having volume in the ratio 1:2:3 are full of mixture of coke(coca-cola waala :P) and soda. In the first vessel, ratio of coke and soda is 2:3, in the second 3:7 and in the third 1:4

If the liquid in all 3 vessels were mixed in a bigger container, what is resulting mixture of coke and soda?

1) 4:11
2) 5:7
3) 7:11
4) 7:5

Please post the method as well so that everyone understands now and for future reference as well..a humble request
@sauravd2001 said:
@soumitrabengeri got it bhai ?
yes bhai..thanks
@chandrakant.k brother firstly thanx for creating this ew thread...........m new to this web i was searching all way for previous night thread but saw it was closed later i saw anivesh last coment so came ova here and yesh cat jinx is over nw wait for result jinny
@soumitrabengeri said:
Here is oneThree diggers dug a ditch 324 m deep in 6 days working simultaneously. During one shift, the third digger digs as many more meters more than the second as the second digs more than the first. The third digger's work in 10 days is equal to the first digger's work in 14 days.How many meters does the first digger dig per shift?1) 15m2) 18m3) 21m4) 27m
My take 15

Divided 324/6 = 54
Now 3a+3x = 54
using options 15
@soumitrabengeri bhai is question right because i find data inconsistent
@soumitrabengeri said:
3 vessels having volume in the ratio 1:2:3 are full of mixture of coke(coca-cola waala ) and soda. In the first vessel, ratio of coke and soda is 2:3, in the second 3:7 and in the third 1:4If the liquid in all 3 vessels were mixed in a bigger container, what is resulting mixture of coke and soda?1) 4:112) 5:73) 7:114) 7:5Please post the method as well so that everyone understands now and for future reference as well..a humble request
4:11 ?

take volume as 10:20:30
@chandrakant.k said:
My take 15Divided 324/6 = 54Now 3a+3x = 54 using options 15
plz explain in thoda detail bro
@soumitrabengeri 11:29 is coming and reason to suppor this is
1:2:3
so see
2+6+3:3+14+12+11:29
because from first we have 1 multiply given ratio with corresponding ones and place them i did i get this............maybe m wrong tell whats the answere
@sauravd2001 said:
@soumitrabengeri bhai is question right because i find data inconsistent
another humble request..please quote the question whenever you ask any doubt..
@soumitrabengeri brother firstly no need to make humble request because its nt just helping u its helping everyone including myslef ova here ..............n previosu questio u asked abt ratios 1:2:3
@soumitrabengeri said:
3 vessels having volume in the ratio 1:2:3 are full of mixture of coke(coca-cola waala ) and soda. In the first vessel, ratio of coke and soda is 2:3, in the second 3:7 and in the third 1:4If the liquid in all 3 vessels were mixed in a bigger container, what is resulting mixture of coke and soda?1) 4:112) 5:73) 7:114) 7:5Please post the method as well so that everyone understands now and for future reference as well..a humble request
(.4+.6+.6)/(.6+1.4+2.4)
=>1.6/4.4
=>4/11
@sauravd2001 said:
@soumitrabengeri 11:29 is coming and reason to suppor this is 1:2:3so see2+6+3:3+14+12+11:29 because from first we have 1 multiply given ratio with corresponding ones and place them i did i get this............maybe m wrong tell whats the answere
Please refer to the solution posted by @gs4890 ..that is the shortest way according to me to solve the problem
@soumitrabengeri said:
Here is oneThree diggers dug a ditch 324 m deep in 6 days working simultaneously. During one shift, the third digger digs as many more meters more than the second as the second digs more than the first. The third digger's work in 10 days is equal to the first digger's work in 14 days.How many meters does the first digger dig per shift?1) 15m2) 18m3) 21m4) 27m
let them dig a,b,c meters 3 diggers

(1/a + 1/b + 1/c) = 1/54

per shift means per day ?

6a,6 *a+x,6 *a+2x by 1,2,3 rd digger

10/6 *a+2x = 14/6a
60a = 84a + 28x
a = -7/6x
x=-6/7a

ab pahli wali mien dal ke aa jana chahie
@soumitrabengeri check whether u posted correctly because i find data really inconsistent
@gs4890 said:
plz explain in thoda detail bro
bhai total they dug = 324 over six days..
so in one day they dig = 324/6 =54
i.e 1/d1+1/d2+1/d3 = 1/54
given d2 = d1+x
d3 = d1+2x
so just used the options 😁
@soumitrabengeri said:
Here is oneThree diggers dug a ditch 324 m deep in 6 days working simultaneously. During one shift, the third digger digs as many more meters more than the second as the second digs more than the first. The third digger's work in 10 days is equal to the first digger's work in 14 days.How many meters does the first digger dig per shift?1) 15m2) 18m3) 21m4) 27m
work/day=324/6=54

given
f*14=t*10;
t-s=s-f
=>s=(t+f)/2
f+t+s=54

=>f+7/5f+(7/5f+f)/2=54
=>2f+14f/5+12f/5=108
=>36f=108*5
=>f=15
@sauravd2001 said:
@soumitrabengeri check whether u posted correctly because i find data really inconsistent
I have posted correctly..
Here is the answer..consider the volume of the 3 containers to be 10,20 and 30 liters
First container..coke = 4..soda =6
2nd container..coke = 6..soda = 14
3rd container..coke = 6..soda = 24

Total coke = 16
Total soda = 44
Ratio = 4:11
Inspite of this if you find the data inconsistent, then i cannot help you further
@soumitrabengeri got it brother my computer is a slow ass ............:) 😛 it needs beating before it shows next post
@soumitrabengeri said:
3 vessels having volume in the ratio 1:2:3 are full of mixture of coke(coca-cola waala ) and soda. In the first vessel, ratio of coke and soda is 2:3, in the second 3:7 and in the third 1:4If the liquid in all 3 vessels were mixed in a bigger container, what is resulting mixture of coke and soda?1) 4:112) 5:73) 7:114) 7:5Please post the method as well so that everyone understands now and for future reference as well..a humble request
assuming 100 200 300
so coke in these are 40 60 and 60
so ratio when mixed = 160/440 = 4: 11
@krum : can we assume like this in these type of questions??

@krum : you told others not to call you as sir.. and you calling me?? :sneaky: this is cheating :sneaky:
@chandrakant.k said:
assuming 100 200 300so coke in these are 40 60 and 60so ratio when mixed = 160/440 = 4: 11@krum : can we assume like this in these type of questions??
lol..ofc sir, its easier to take convenient values