Official Quant thread for CAT 2013

@vbhvgupta said:
Pipes X and y can fill a tank in 30 and 60 minutes . both pipes are opened simultaneously. after how much time should X be closed so that the tank is filled in 30 minutes?
15..
@DeAdLy said:
15..
yar ho gaya ye to..deleted the Q
@vbhvgupta said:
yar ho gaya ye to..deleted the Q
spam mat kar ..
pehle post kiya fir maine solve kar diya to keh raha hai ho gaya
@vbhvgupta said:
Pipes X and y can fill a tank in 30 and 60 minutes . both pipes are opened simultaneously. after how much time should X be closed so that the tank is filled in 30 minutes?
since pipe y takes 60 minutes to fill and the tank should be filled in 30 mins afterpipe x is closed
half of the pipe is filled
so 1/30+1/60)*x = 1/2
3/60*x = 1/2
x = 10 minutes :)
@chandrakant.k said:
since pipe y takes 60 minutes to fill and the tank should be filled in 30 mins afterpipe x is closed half of the pipe is filledso 1/30+1/60)*x = 1/23/60*x = 1/2x = 10 minutes
bhai it is 15 minutes.
@chandrakant.k said:
since pipe y takes 60 minutes to fill and the tank should be filled in 30 mins afterpipe x is closed half of the pipe is filledso 1/30+1/60)*x = 1/23/60*x = 1/2x = 10 minutes
no the tank should be filled in 30 min..

@DeAdLy said:
spam mat kar .. pehle post kiya fir maine solve kar diya to keh raha hai ho gaya
@chandrakant.k said:
since pipe y takes 60 minutes to fill and the tank should be filled in 30 mins afterpipe x is closed half of the pipe is filledso 1/30+1/60)*x = 1/23/60*x = 1/2x = 10 minutes
see in 30 minutes y will fill half the tank
now we have to fill half the tank by X so we should close it at half of its efficiency i.e at 15 minutes.

@DeAdLy said:
no the tank should be filled in 30 min..

@vbhvgupta said:
bhai it is 15 minutes.
ok. aaj bahut misread ho raha hai. i thought after closing pipe x the tank should be filled in 30 mins after pipe x is removed. but question is total tie :banghead:
@chandrakant.k yar vo factorial ke last 2 digit vala solution post karo
@chandrakant.k said:
ok. aaj bahut misread ho raha hai. i thought after closing pipe x the tank should be filled in 30 mins after pipe x is removed. but question is total tie
arey chalta hai...
The area of the circle circumscribing three circles of unit radius touching each other is
1) (pi/3)(3+root(3))^2
2) 6pi (2+root(3))^2
3) 3pi (2+root(3))^2
4) (pi/6) (2+root(3))^2

Plz give explanation alongwith the answer.
Two goats are tethered to diagonally opposite vertices of a field formed by joining the mid points of the adjacent square field of side 20 root(2). What is the total grazing area of the two goats?

1) 100 pi sq m
2) 50 (root(2) -1 ) pi sq m
3) 100 pi ( 3-2root(2)) sq m
4) 200 pi (2-root(2)) sq m

Plz give explanation along with the answer.

a tank has a leak at its bottom which empties it at 6 lt/min. it also has a filling tap which can fill tank in 6 hrs. the tank takes 18 hours to become full . find the capacity of the tank.

@vbhvgupta said:
a tank has a leak at its bottom which empties it at 6 lt/min. it also has a filling tap which can fill tank in 6 hrs. the tank takes 18 hours to become full . find the capacity of the tank.
3240
@DeAdLy said:
3240
explain?
@vbhvgupta said:explain?


time taken by leak to empty tank-a
filling tap fills in 6 hrs. with leak it take 18 hrs so

1/6-1/a=1/18
a=9

therefore capacity is= 6*(9*60)= 3240 lit
@Exodia said:
The area of the circle circumscribing three circles of unit radius touching each other is 1) (pi/3)(3+root(3))^22) 6pi (2+root(3))^23) 3pi (2+root(3))^24) (pi/6) (2+root(3))^2Plz give explanation alongwith the answer.
sin30/r-1 = sin120/2
1/r-1 = sqrt(3)/2
r=(2+sqrt(3))/sqrt(3)
area=pi/3*[2+sqrt(3)]^2??
@Exodia said:
Two goats are tethered to diagonally opposite vertices of a field formed by joining the mid points of the adjacent square field of side 20 root(2). What is the total grazing area of the two goats?1) 100 pi sq m2) 50 (root(2) -1 ) pi sq m3) 100 pi ( 3-2root(2)) sq m4) 200 pi (2-root(2)) sq mPlz give explanation along with the answer.
shouldnt the length of rope be given??
@Exodia said:
Two goats are tethered to diagonally opposite vertices of a field formed by joining the mid points of the adjacent square field of side 20 root(2). What is the total grazing area of the two goats?1) 100 pi sq m2) 50 (root(2) -1 ) pi sq m3) 100 pi ( 3-2root(2)) sq m4) 200 pi (2-root(2)) sq mPlz give explanation along with the answer.
shouldnt the length of the rope be given