Official Quant thread for CAT 2013

@shinoda said:
in a knock out match of 128 participants find how many candidates wud still be in contention just before the beginning of 5th round ?
32
@sbharadwaj said:
I guess OA must be wrong 32 is not possible..
32 is possible. infact its only possible solution for knock out round
@2013IsMine said:
approach?
See replacing a woman by man means adding 1 women for the job.
also adding a boy means removing 1 woman from the job.
so for the entire cycle of adding man & boy.
the work gets completed on 9 day
@2013IsMine said:
approach?
See replacing a woman by man means adding 1 women for the job.
also adding a boy means removing 1 woman from the job.
so for the entire cycle of adding man & boy.
the work gets completed on 9 day
@shinoda said:
in a knock out match of 128 participants find how many candidates wud still be in contention just before the beginning of 5th round ?
8 ??
@DeAdLy how you are getting 32 ?
@2013IsMine said:
can someone solve this, though i got the appraoch , but it's getting quite lengthy!
@DeAdLy said:
the work gets completed on 9 day
OA 18 Days

@shinoda said:
in a knock out match of 128 participants find how many candidates wud still be in contention just before the beginning of 5th round ?
128/2^4=8
after first round 64
2nd round 32
third 16
fourth 8
@vbhvgupta said:
OA 18 Days

Calculation mistake kar di
@DeAdLy said:
See replacing a woman by man means adding 1 women for the job.also adding a boy means removing 1 woman from the job.so for the entire cycle of adding man & boy.the work gets completed on 9 day
1st day -->20 women work
2nd day-->21 women work(1 woman goes, 1 man = 2women enters)
3rd day -->20.5 women work(1 woman goes, i boy=0.5 woman enters)
4th day-->21.5 women work(1 woman goes,1 man =2 women enters)
5th day -->21 women work
6th day-->22 women work
7th day-->21.5 women work
8th day -->23.5 women work
9th day-->22 women work

it cant be 9 days...has to be between arnd 17-18 days, but am not getting the pattern

@dushyantagarwal said:
8 ??
@DeAdLy how you are getting 32 ?
try to go backwards
for last round u need 2 participants
2nd last 4
3rd last 8
4th last 16
5th last 32
@sbharadwaj said:
8 members..?
@dushyantagarwal said:
8 ??@DeAdLy how you are getting 32 ?
128, 64, 32, 16, 8, 4, 2, 1 This would be the no of participants roundwise

begining of 5th round 8 participants should be there....
@2013IsMine said:
1st day -->20 women work
2nd day-->21 women work(1 woman goes, 1 man = 2women enters)
3rd day -->20.5 women work(1 woman goes, i boy=0.5 woman enters)
4th day-->21.5 women work(1 woman goes,1 man =2 women enters)
5th day -->21 women work
6th day-->22 women work
7th day-->21.5 women work
8th day -->23.5 women work
9th day-->22 women work

it cant be 9 days...has to be between arnd 17-18 days, but am not getting the pattern

my bad arey i missed divided by 2 before last step dont know y....i guess i was trying to take for if only mens worked
@DeAdLy said:
try to go backwardsfor last round u need 2 participants2nd last 43rd last 84th last 165th last 32
are yar start 128 se hoga.....tu ulta consider kar raha hai.....
@DeAdLy said:
try to go backwards
for last round u need 2 participants
2nd last 4
3rd last 8
4th last 16
5th last 32
@vbhvgupta, and all other bhai log!!
@DeAdLy said:
Calculation mistake kar di
@2013IsMine said:
it cant be 9 days...has to be between arnd 17-18 days, but am not getting the pattern


assume total work = 800 units.
so a woman does 2 units of work in a day
man ..4 units...boy ..1 unit...

starting with 20 women intially..
day 1...40 units completed
day 2...38 + 4 = 42 units
day 3 ..36 + 1 + 4 = 41 units
day 4 ..34 + 1 + 8 = 43 units ..etc etc
day 5 ..32 + 2 + 8 = 42
day 6 ..30 + 2 +12 =44
now we hv to find in how many days this will add to 800 ...
easy way to do tht...
day 1 + day 2 = 82
day 3 + day 4 = 84
day 5 + day 6 = 86 ..etc... AP

in 18 days ... total work done = 9 (164 + 8*2)/2 = 9 (90) = 810
so work gets over on the 18th day.

@vbhvgupta said:
are yar start 128 se hoga.....tu ulta consider kar raha hai.....
last round main to 2 log chaiye na..so
thoda ulta kaam karna padta hai....
@vbhvgupta said:
20 women can finish a job in 20 days. After each day, one woman is replaced by a man or a boy alternatively starting with a man.Man is twice efficient and boy is half efficient as a woman,On which day does the job get completed??
400 woman days are required
20+21+20.5+21.5+21+22+21.5 +22.5+22+..
20 +41.5+42.5+43.5+....+n =400
41.5+42.5+....n terms=380
n/2(83 + n-1)=380
n(82+n)=760
closest is n=8
8*90=720
no of days till 360 units of work 8*2+1=17
now one more day will be required 17+1=18
@DeAdLy said:
last round main to 2 log chaiye na..so thoda ulta kaam karna padta hai....
are but round will get start from 128 participants.......after that 64..thn 32...thn 16..thn 8 so now 5th round means 8
@DeAdLy said:
try to go backwardsfor last round u need 2 participants2nd last 43rd last 84th last 165th last 32
bhai did not get you ..
Question is not about last 5th round se pehle kya hua hoga ? Its about from starting .. and it starts with 128 .. Correct me if I am wrong.
@dushyantagarwal said:
bhai did not get you ..
Question is not about last 5th round se pehle kya hua hoga ? Its about from starting .. and it starts with 128 .. Correct me if I am wrong.
from what i read the question is start of fifth round??
"in a knock out match of 128 participants find how many candidates wud still be in contention just before the beginning of 5th round ?"
so see
hope you all got it..
abi ofc main full explain nai kar paunga...
If u or anybody else who didnt get it...can pm me, i will explain tonight