Official Quant thread for CAT 2013

@ravi.theja said:
went from options..is it CBD ???
yes...
@somnathbhatta said:
@bs0409 i did the conversion manually last tym with 0.3333333 (seven 3's after decimal). it gave 0.15555555535523. and goes on .. checked my calculation on ur link too .. same result as mine.. now if u increase the number of 3's there is a rounding of occuring same is the case with 1/3. u can check it too .. seven or eight 3's .. might be my approach to the specific prob is wrong .. but the conversion is just fine .
Yes. Your conversion is right.
Its just that rounding off 0.1555555555355 in base 6 gives 0.2 and not 0.1666666.
@bs0409 ok .. ..
got a bit possessed with my calculation accuracy
@TootaHuaDil said:
1. When a number 'N' is divided by a proper divisor 'D' then it leaves a remainder of 14 and if the thrice of that number i.e. 3N is divided by the same divisor D, the remainder comes out to be 8. Again if the 4 times of the same number i.e. '4N' is divided by D the remainder will be: (a) 35(b) 22(c) 5(d) can't be determined
5.
@somnathbhatta Yes.... 90* 7 = 630..

even i think that should be the shortest path.. Going through the other way round to C increase the path length..!!!

P can do in 10 days, P n Q in 5 days, PQR in 2 days, P n R ?

3
4
2.5
3.5

@Cat.Aspirant123 said:
P can do in 10 days, P n Q in 5 days, PQR in 2 days, P n R ?
p = 1/ 10 p+ q = 1/5 ==> q= 1/10 ; p+q+r = 1/2==> r=3/10 ==> p+r = 4/10 =2.5 days :)
@Cat.Aspirant123 said:
P can do in 10 days, P n Q in 5 days, PQR in 2 days, P n R ?
P efficieny is 10% and PnQ is 20%. So Q's efficieny is also 10%. POQR efficieny is 50%. So R efficiency is 30%. Pn R is 40%. S0 P nR complete in 2.5 days
@ravi.theja said:
3 days 8 hours
check i have added the options
@pirateiim478 said:
P efficieny is 10% and PnQ is 20%. So Q's efficieny is also 10%. POQR efficieny is 50%. So R efficiency is 30%. Pn R is 40%. S0 P nR complete in 2.5 days
POQR efficieny is 50% ? rest i understood
@Cat.Aspirant123 said:
check i have added the options
edited 😃 calc error it ws
@somnathbhatta said:
Suppose, the seed of any positive integer n is defined as follows:seed(n) = n, if n = seed(s(n)), otherwise,where s(n) indicates the sum of digits of n. For example,seed(7) = 7, seed(248) = seed(2 + 4 + 8) = seed(14) = seed(1 + 4) = seed(5) = 5 etc.How many positive integers n, such that n 1)39 2)72 3)81 4)108 5)55 please share the approach too
Digital sum = Remainder when a number is divisible by 9

So Question can be rephrased as number of positive integers less than 500 divisible by 9

500/9 = 55
@Cat.Aspirant123 said:
POQR efficieny is 50% ? rest i understood
k understood..its PQR=50%

Im weak n geometry...can some1 suggest any material or upload any soft copy where i can build up from basic level to CAT level...please help..
:(

@somnathbhatta said:
please provide a less calculation intensive method for the attached question. don't know the answer
The first question is that they are asking the shortest path from A to B

So The Shortest path has been marked in red in the attached file. It is A to X, the single path P, and Y to B

From A to X, number of paths = 2+2C2 = 4C2

Number of Paths from Y to B, 2+4C4 = 6C2

Number of paths = 4C2*6C2 = 6*15 = 90

Coming to the Second question. They are moving to A to C via B. We have to find the shortest path

Already we know that number of ways from A to B is 90, So we can eliminate 792,1200 and 936

We have to choose between two options 1170 and 630

Consider the Blue line in the attached file. The number of paths from B to Z a path way ahead of C is

90 * 6+1C1 = 630

So the answer has to be obviously greater than that, hence answer = 1170


@sails said:
Im weak n geometry...can some1 suggest any material or upload any soft copy where i can build up from basic level to CAT level...please help..
Check NCERT math textbooks especially 8,9 and 10th classes.Download from here http://ncertbooks.prashanthellina.com/


Every day a train runs from A at a constant speed of €˜u €™ km/hr and reaches B after exactly 10 hours.However, on a particular day after exactly 2 hours of travel from A, the train broke down and took exactly 2 hours to repair. In order to reach B at the same time as earlier, the driver then increased the previous constant speed of the train by 30 km/ hour. What is the distance between A and B?
@pirateiim478 900km...
@pirateiim478 said:
Check NCERT math textbooks especially 8,9 and 10th classes.Download from here ncertbooks.prashanthellina.com...Every day a train runs from A at a constant speed of €˜u €™ km/hr and reaches B after exactly 10 hours.However, on a particular day after exactly 2 hours of travel from A, the train broke down and took exactly 2 hours to repair. In order to reach B at the same time as earlier, the driver then increased the previous constant speed of the train by 30 km/ hour. What is the distance between A and B?
900 km
@pirateiim478 said:
Check NCERT math textbooks especially 8,9 and 10th classes.Download from here ncertbooks.prashanthellina.com...Every day a train runs from A at a constant speed of €˜u €™ km/hr and reaches B after exactly 10 hours.However, on a particular day after exactly 2 hours of travel from A, the train broke down and took exactly 2 hours to repair. In order to reach B at the same time as earlier, the driver then increased the previous constant speed of the train by 30 km/ hour. What is the distance between A and B?
900kms..?
@jaituteja said:
@pirateiim478 900km...
@ravi.theja said:
900 km
@sails said:
900kms..?
Yes it is 900

Solve |2x-1|+|3x-4|=20