Official Quant thread for CAT 2013

@ravi.theja said:
even i struck at the same place
@pavimai said:
Number of co primes to 2304 and less than 2304 will be..768...i dont know to make it fall in the range..someone enlighten
2^8*3^2

so question is to remove number divisible by 2 and 3 in that 1000 range ..

N(2) = 501

N (3) = 334

N ( 6) = 166

final answer would be 1001 - 667 = 334

Alternatively you can make use of Euler theorem as well
@pavimai @vbhvgupta : isn't the answer 834 ?

@naga25french :
i only considered to remove the factors of 6 .. neglected the factors 2 and 3 ..
@vbhvgupta said:
How many no are coprime to 2304 and lie b/w 1200 and 2200? How to go for it?
@ravi.theja said:
even i struck at the same place
@pavimai said:
2304 = 2^8*3^2

from 1200 - 2200 we need all those which are not multiple of 2 or 3

multiples of 2 - 499
multiples of 3 - 333
multiples of 6 - 166

499+333-166 = 666


999-666=333


OA?
@naga25french thanku sir

I need a simple help.I am facing problem to find out the logic of of DI [Though one,not the basics one].What process should I follow that I can understand the logic in minimum time..Please Help me puys..
Please Tag me

A tank is fitted with four large and ten small filling pipes.through each pipe water flows twice as rapidly as through each small pipe.All the pipes were opened simultaneously when the tap was empty.At the moment when the tank was expected to be full,it was found to be only two-thirds full,due to a leak at the bottom.then the leak was plugged immediately but only by 50%.If all the pipes can together fill up the tank(if there is no leak)7 1/2 hours,how much more time is needed for the tank to be full,after the leak was partially plugged..??


Pls give me power to face these pipe problems
@pavimai a good way at these problems is backsolving..from options to question...

flow rate- 6x

2/3rd full- 4x
leakage rate will be 2x
but 50% repaired so x
net flow is 5x
time for filling remaining 1/3 rd=1/3*6/5*15/2
3 hours
@pavimai wow...u finally had the power to face the problem and also got the asnwer..:D
@sails said:
@pavimai wow...u finally had the power to face the problem and also got the asnwer..
took 15 mins to solve...If this continues i can never ever clear CAT.. :(
@pavimai

Can u give the Options 1nce..
@pavimai said:
A tank is fitted with four large and ten small filling pipes.through each pipe water flows twice as rapidly as through each small pipe.All the pipes were opened simultaneously when the tap was empty.At the moment when the tank was expected to be full,it was found to be only two-thirds full,due to a leak at the bottom.then the leak was plugged immediately but only by 50%.If all the pipes can together fill up the tank(if there is no leak)7 1/2 hours,how much more time is needed for the tank to be full,after the leak was partially plugged..??Pls give me power to face these pipe problems
A real problem dis problem is 😛 bye bye..i ll nt solve u
@pyashraj said:
@pavimaiCan u give the Options 1nce..
3 hrs
3 1/2 hrs
2 hrs
2 1/2 hrs

@pavimai thats the point...make ur strong points and then do only that...that doesnt mean leave your weak points...try to know the basics atlesat in them..btw what is your cat %ile?

@ravi.theja is the answer 12 ?

@pavimai said:
A tank is fitted with four large and ten small filling pipes.through each pipe water flows twice as rapidly as through each small pipe.All the pipes were opened simultaneously when the tap was empty.At the moment when the tank was expected to be full,it was found to be only two-thirds full,due to a leak at the bottom.then the leak was plugged immediately but only by 50%.If all the pipes can together fill up the tank(if there is no leak)7 1/2 hours,how much more time is needed for the tank to be full,after the leak was partially plugged..??Pls give me power to face these pipe problems

rate of large pipe=2L/hr
rate of small pipe=1L/hr
Capacity of tank=(2*4+1*10)*7.5=135L

After 7.5 hrs, only 90L was filled whereas 135L shld have been filled.
So, 45L was drained by the leak in 7.5 hours.
Rate of leakage=45/7.5=6L/hr
After leakage operates at 50%, rate of leakage=3L/hr
So effective rate of filling=18-3=15L/hr
Water to be filled =45L
Time taken=45/15=3 hours
@sails said:
@pavimai thats the point...make ur strong points and then do only that...that doesnt mean leave your weak points...try to know the basics atlesat in them..btw what is your cat %ile?
hypothetical question
@somnathbhatta said:
@ravi.theja is the answer 12 ?
yes :)