Official Quant thread for CAT 2013

@chillfactor said:
2x + 3y = 12067y is always oddLeast value of y = 1Largest value of y = 4021So, y can take {(4021 - 1)/2} + 1 = 2011 valuesYeah for n = 12066, we have 2012 solutions (didn't check for 12066)
Yes Sir! And I didn't check for 12067 Thanks a lot sir :)
@ScareCrow28 said:
Yes Sir! And I didn't check for 12067 Thanks a lot sir
but then 12061 will have only 2010 solutions

So, answer will be 12060 + 12062 + 12063 + 12064 + 12065 + 12067 (thats why Jain got 72381 as answer)
there are two quantities of milk-amul and sudha having different prices per litre,their volumes being 130 litres and 180 litres respectively.After equal amounts of milk was removed from both,the milk removed from amul was added to sudha and vice versa.The resulting two types of the milk now have the same price.Find the amount of milk drawn out from each type of milk.
1)58.66
2)75.48
3)81.23
4)none of these.
@nole said:
there are two quantities of milk-amul and sudha having different prices per litre,their volumes being 130 litres and 180 litres respectively.After equal amounts of milk was removed from both,the milk removed from amul was added to sudha and vice versa.The resulting two types of the milk now have the same price.Find the amount of milk drawn out from each type of milk.1)58.662)75.483)81.234)none of these.
75.48?
@19rsb yeah,can u please explain how u did it
@ziddiarmaan as far as question is concerned it's complete :)
.

@nole : i think sumthng missing .. i am getting 15 litres 😛 if u take the price per litre as 3 :2
@nole said:
there are two quantities of milk-amul and sudha having different prices per litre,their volumes being 130 litres and 180 litres respectively.After equal amounts of milk was removed from both,the milk removed from amul was added to sudha and vice versa.The resulting two types of the milk now have the same price.Find the amount of milk drawn out from each type of milk.1)58.662)75.483)81.234)none of these.
2)75.48
@nole said:
@19rsb yeah,can u please explain how u did it .
let x and y per litre be the rate of 130l and 180l resp
also let L litre of exchange is required
then ,as condition given in the question
130x-Lx+Ly/130=180y-Ly+Lx/180
on solving,L=75.48 litres
@19rsb
i made mistake that the price will be equal to the previous total .. which i think is not ... after the change,,,
@19rsb can u please explain Why did u divide LY on l.h.s by 130 and LX on right hand side by 180 ?
@nole said:
@19rsb can u please explain Why did u divide LY on l.h.s by 130 and LX on right hand side by 180 ?
arey bhai....
the expression is lyk this
(130x-Lx+Ly)/130=(180y-Ly+Lx)/180...........in order to equate the new rates after exchange of L litres(since rate= total money/volume)
If 16 men can finish a job in 32 days, in what time will the job be completed if 8 men leave after 16 days?
approach plz
@Shray14 said:
If 16 men can finish a job in 32 days, in what time will the job be completed if 8 men leave after 16 days?approach plz
man days=16*32=512MD
in 16 days =16*16=256MD
man days left=512-256=256MD
man present=16-8=8M
days=256/8=32days
tot days=16+32=48
In a factory where toys are manufactured, machines A, B and C produce 25%. 35% and 40% of the total toys, respectively. Of their output, 5%, 4% and 2% respectively, are defective toys. If a toy drawn at random in found to be defective, What is the probability that it is manufactured on machine B?
solution plz explain
@hiteshkhurana82 said:
In a factory where toys are manufactured, machines A, B and C produce 25%. 35% and 40% of the total toys, respectively. Of their output, 5%, 4% and 2% respectively, are defective toys. If a toy drawn at random in found to be defective, What is the probability that it is manufactured on machine B?solution plz explain
28/69

4*35/(5*25 + 4*35 + 2*40) = 140/345 = 28/69
@Shray14 said:
If 16 men can finish a job in 32 days, in what time will the job be completed if 8 men leave after 16 days?approach plz
48 days?

16 men take 32 days => 16 days for half the job
8 men take 64 days => 32 days for half the job

Total = 16 + 32 = 48
@hiteshkhurana82 said:
In a factory where toys are manufactured, machines A, B and C produce 25%. 35% and 40% of the total toys, respectively. Of their output, 5%, 4% and 2% respectively, are defective toys. If a toy drawn at random in found to be defective, What is the probability that it is manufactured on machine B?solution plz explain
28/69?
@Shray14 total amount of work =16*32= 512 man days
work done in 16 days=16*16=256 man days
Let x be the extra number of days required.
so 512=256 + 8*x
x=32
so total days=32+16=48 days


@Shray14 said:
If 16 men can finish a job in 32 days, in what time will the job be completed if 8 men leave after 16 days?approach plz
16*32=16*16+8x
x=32
Total 32+16=48 days
@hiteshkhurana82 Let the total number of toys be 100
A makes 25 defectives - 5/4
b makes 35 defectives-14/10
c makes 40 defectives-4/5

probability of finding defective- (14/10)/(5/4+14/10+4/5)

i.e 28/69


@mailtoankit yeah