CAT 2012 Kerala study group

@Kevin88 said: @raku1989
Coprime to 6 = 2100(1/2)(2/3) = 700 Coprime to 15 = 2100(2/3)(4/5) = 1120 Coprime to 35 = 2100(4/5)(6/7) = 1440 Coprime to 30 = 560 Coprime to 105 = 960 Coprime to 210 = 480Numbers either prime to 6 or 15 or 35
= 700 + 1120 + 1440 - 2((560 - 480) + (960 - 480)) - 3*480 = 700
See attached figure : Find 1+3+7 only
Thanks buddy!!
@raku1989 said:
Thanks buddy!!
No probs.. current jst came bck now!!
Devathinde swantham nattil eruttum mayayumanu!!

10)If Ramu and Krishna work on alternate days to complete a work, then the work gets completed in exactly 24 days. If R and K denote the number of days required by Ramu and Krishna respectively to complete the work independently, then how many ordered pairs of integral values of R and K are possible?

a)14 b)8 c)15 d)7

Btw ,the new IIM C criteria means that a guy getting 100%ile is equivalent to a girl getting 96.1 ๐Ÿ˜ ( the weight of 77 in the iimc criteria is for the %ile score,right? or is it for the score/450?)

@[526706:pradyothcjohn] its actually your 77% of (individual score/Highest score) rt ?

Anyway we really cant control things out of our hand...!!

In case it's the score out 450 that they are considering,girls will have a head start equivalent around 17 marks /450 in cat..that'd be much better,it would mean that girls would get a call at 99.3,and guys at around 99.7,i guess..that's not too bad..

@[533596:Kevin88]

1/r +1/k =1/12...................(1)

k=12r/(r-12)......................(2)

values that satisfy

r = 13,14,15,16,18,20,24,28
k=156,84,60,48,36,30,24,21

thats 8 cases. Reverse values for k and r also possible. So total 16. (24,24) repeats.

So, final answer 15.
Can anyone suggest an easier method from (2) rather than trying values ?

@[514195:seetharam7] Your answer is rt.. the main issue in such q's for me is the problem in solving it in less than 2-3 min i generally leave such trial & error ones after wasting a gud 3-4 min !!

Any one else has a simpler method ?

hi every1.was busy the last two days with work.dats y i wasn't active on the thread.it seems the preparation has started to reach its boiling point.The onam vacations have begun and i have more time to spend 4 my cat preparation.i have my cl proc 7 2moro and aimcat 1308 on sunday.hope the results turn out well ๐Ÿ˜ƒ

: ws a bit inactive since it was onam celebs 2day at my office.. (oh yea advance wishes to all)....will be active full fledged from now on ๐Ÿ˜ƒ

rohan_bhasker pugna He..He..

We are all expecting a bounty of contribution from your end !!!
All the best for the mocks!!
Boiling Point..hmm maybe if we all start posting 10-20 Q's per day...
But the team from Kerala is finally alive & kicking !!!

@[533596:Kevin88] Buddy...So what are our plans 4 the week?

@[397955:rohan_bhasker] Well i will be off to Kodaikanal for 3 days with ma famille !! ..

So will not be active the coming week
Hope you guys will take this thread to greater heights !!
Hell by the time i return you guyz must make my life a living hell with the amt of discussions & q's posted here
Damn i love this smiley !!
@seetharam7 said: @Kevin88
1/r +1/k =1/12...................(1)
k=12r/(r-12)......................(2)
values that satisfy
r = 13,14,15,16,18,20,24,28
k=156,84,60,48,36,30,24,21
thats 8 cases. Reverse values for k and r also possible. So total 16. (24,24) repeats.
So, final answer 15.
Can anyone suggest an easier method from (2) rather than trying values ?
1/R +1/K = 1/12
12R+12K = RK
(R-12)(K-12) = 144

144 = 2^4*3^2
so it can be written as a product of 2 distinct integers in 7 ways and as a perfect square in one way.
So while considering the ordered pairs we have to consider 14 ways of writing it as a multiple of two distinct integers and as a perfect square in one way.
So a total of 15 ways...:)

In a class of 30 students, there are 2 categories of students:
Liars: who always lie.
Truth Tellers: who always speak the truth.
These students make three different statements as follows:
Statement I : 7 of them say โ€œ There are exactly 7 Liars in this classโ€
Statement II : 8 of them say โ€œ There are exactly 8 Liars in this classโ€
Statement III : The rest of them say โ€œ There are exactly 15 Liars in this classโ€.
How many Liars are there in the class?

7
8
23
22
15

@[526706:pradyothcjohn] to be known very much happy...(arinjathil valare adhikam santosham!)

@[551537:Appuchin] Aha ingalu aarunno ๐Ÿ˜› ๐Ÿ˜

@[518068:raku1989] : 15 ?

@pugna said: @raku1989 : 15 ?
yup :)

@[518068:raku1989] : and i assume u already knew answer ๐Ÿ˜ƒ

@[518068:raku1989] please explain the method.