Official Quant thread for CAT 2013

@Calvin4ever said:
Could it be 22/(12*360) ?
could u explain how did u get this??
@Logrhythm leave it answer pata chalega tab sochenge kaise hoga solve???
@Logrhythm said:
could u explain how did u get this??
I might be wrong okay. the clock makes 90 deg 22 times in 12 hrs. Now the minute hand can take any of the 360 degrees * the no. of hours . what do u say?
In triangle ABC, D, E, and F are the trisection points of AB, BC, and CA nearer A,B,C, respectively. Let BF and AE meet at J. Let CD and AE meet at K and CD and BF meet at L.

Find
1) BJ : JF
2) AJ : JE
3) DK : KL : LC
4) EJ : JK : KA
5) FL : LJ : JB

@naveenkrs said:
In triangle ABC, D, E, and F are the trisection points of AB, BC, and CA nearer A,B,C, respectively. Let BF and AE meet at J. Let CD and AE meet at K and CD and BF meet at L. Find 1) BJ : JF2) AJ : JE3) DK : KL : LC4) EJ : JK : KA5) FL : LJ : JB
where did u get this one ?

@hatemonger @mailtoankit : any idea abt the approach for the quoted question. have been practising geometry for the past couple of days. all approaches coming to my mind are too lengthy and i'm not even sure if they are the correct approaches.. please comment .
@somnathbhatta said:
where did u get this one ?@hatemonger@mailtoankit : any idea abt the approach for the quoted question. have been practising geometry for the past couple of days. all approaches coming to my mind are too lengthy and i'm not even sure if they are the correct approaches.. please comment .
I too have been practicing questions on geometry these days. Someone pointed a certain 'mass point theorem' so googled it and it redirected me to this problem which I have not been able to solve completely.
@naveenkrs have tried to get to approach it using geometry.. no result yet. i tried mensuration(Heron's formulae). no result yet.

what is the remainder when 5555^2222+2222^5555 is divided by 7 ??

@bs0409 said:
2(a+b)a+ba+b+c=129 where c>=0 and a,b>=1129C2 solutionsNow if (a,b) is a solution, (b,a) is also a solution.So ans= (129C2-64)/2 +64=4160
plz explain why you added term "c" to eqtn a+b=129
and expln (129c2 - 64 )/2 +64
@abhishekj1991 the answer is 0
@naveenkrs The answer that i am getting to the first 2 parts is : 2:3 and 9:1. do u have the answers ? please check. I used coordinate in this.
@sagarcat how buddy ?
@abhishekj1991 (5555^2222) mod 7 can be written as (4^2)mod 7
(2222)^5555 mod 7 can be written as 3^5 mod 7.
understood how ? revise eulers theorem
In an exhibition, some paintings were kept for sale. On the first day, 1 painting plus 1/7 th of the remaining paintings were sold. On the second day, 2 paintings plus 1/7 th of the remaining paintings were sold. A similar pattern continued till the kth day, when 'k' paintings were sold and no painting was left after that. If the exhibition ran for exactly k days (k > 1), then what is the minimum number of paintings sold during the exhibition?
@somnathbhatta said:
where did u get this one ?@hatemonger@mailtoankit : any idea abt the approach for the quoted question. have been practising geometry for the past couple of days. all approaches coming to my mind are too lengthy and i'm not even sure if they are the correct approaches.. please comment .
I will try this one and get back to u ... If i found out the correct answer
guys a TSD problem...
A and B start at the same end of the pool which is 50m long.
The one who completes 20 laps is the winner.
The ratio of speed of A and B is 3:4.
How many times would they meet or cross each other by the time the faster one finishes the race..?....

p.s- whoever solves it please explain the solution too.

CI and SI for a certain sum at certain rate of interest are 220 and 200 . what is the principal for these interest.

whts the Logic??
@vbhvgupta IS it for 2 years ??? years must be given ???
@hatemonger said:
@vbhvgupta IS it for 2 years ??? years must be given ???
no nothing else is given.

Hi Everyone,


Help me understand the concept.

Q - How many numbers from 1 - 400 ( both included) are not divisible by 2,3,5 and 7.

Till 5 i have calculated but little confused about multiples of 7