Official Quant thread for CAT 2013

@kingsleyx said:
If 3+5=19, 5+9=61 and 9+12=117 then 13+14 = ?
183 :s
@kingsleyx said:
If 15+22=32, 19+35=62 AND 23+49=101, THEN 34+52=??
34*5 +2 = 172
@kingsleyx said:
If 15+22=32, 19+35=62 AND 23+49=101, THEN 34+52=??
172
@kingsleyx said:
If 15+22=32, 19+35=62 AND 23+49=101, THEN 34+52=??
172..

A line of length L is divided (broken) into 3 parts randomly. Find the probability that these parts are the possible sides of a triangle !!

@kingsleyx said:
A line of length L is divided (broken) into 3 parts randomly. Find the probability that these parts are the possible sides of a triangle !!
http://www.pagalguy.com/forums/quantitative-ability-and-di/official-quant-thread-cat-2011-part-2-t-67094/p-2761065/r-2812492

Great solution by @Angadbir..have bookmarked this link for further reference..:)
@kingsleyx said:
A line of length L is divided (broken) into 3 parts randomly. Find the probability that these parts are the possible sides of a triangle !!
The probability that an interval broken at n-1 points chosen uniformly at random is
broken into pieces which can be rearranged to form an n-gon is :

So P =1- (n/2^(n-1))


here n=3

so P= 1-3/2^2=1/4
@kingsleyx said:
A line of length L is divided (broken) into 3 parts randomly. Find the probability that these parts are the possible sides of a triangle !!
condition: a+b>c ,
let the sample space be 9cm;
(a,b,c) cant be (_ , _ ,5 ) ( _ , _ , 6 ) n till c=7.. considering integers only n atleast 3 parts..
so p(not triangle) = 3/7 ,
p(positiv)= 4/7.. ??
@dragster said:
condition: a+b>c ,let the sample space be 9cm;(a,b,c) cant be (_ , _ ,5 ) ( _ , _ , 6 ) n till c=7.. considering integers only n atleast 3 parts..so p(not triangle) = 3/7 , p(positiv)= 4/7.. ??
@dragster , @krum has got it above !
@dragster bhai @krum ki baat manne mein hi bhalai hoti hai :P

apart frm formula, wats the aproach in these kinds of questions.. ??

@sauravd2001 said:
@dragster bhai @krum ki baat manne mein hi bhalai hoti hai
@dragster said:
apart frm formula, wats the aproach in these kinds of questions.. ??
there is another way-

There are 2 cuts here , giving 3 parts , for them to be triangle the cuts need to be in 2 halves, if both are in the same half, sum of 2 sides won't be greater than third

so P(first cut in one of the halves) = 1/2
P(2nd cut in one of the other half)=1/2

now u can say that we can cut the line at center, but a line has infinite many points, so that case can be ignored

so 1/2*1/2=1/4
@sauravd2001 said:
@dragster bhai @krum ki baat manne mein hi bhalai hoti hai
haha m not a follower.. 😛 but yeah.. respect to winners..

@krum said:
there is another way-There are 2 cuts here , giving 3 parts , for them to be triangle the cuts need to be in 2 halves, if both are in the same half, sum of 2 sides won't be greater than thirdso P(first cut in one of the halves) = 1/2P(2nd cut in one of the other half)=1/2now u can say that we can cut the line at center, but a line has infinite many points, so that case can be ignoredso 1/2*1/2=1/4
gud1..
@dragster ditto brother

Q. C.I for 3rd year = 1260 ; CI for 4th year = 1512 , compounded annually.
principal??
(don remember the answr.. but cudnt solve.. need aproach.. )


@dragster said:
Q. C.I for 3 years = 1260 ; CI for 4 years = 1512 , compounded annually.principal??(don remember the answr.. but cudnt solve.. need aproach.. )
729.16
@piyushrohella12 said:
729.16
aproach..?
@piyushrohella12 said:
729.16
C.I dia hai, r u sure b'day boy , happy b'day
@dragster said:
aproach..?
form two eqn divide (1+r/100)=1512/1260=1.2

P*(1.2)^3=1260

p=729.16


feels like m back home sabko bhai ka ____/\____