Official Quant thread for CAT 2013

@sowmyanarayanan said:
In how many ways four letters of word STARTS be arranged?
174
@sowmyanarayanan bhai 256???

OA is 1....i got confused with all ur replies

@soumitrabengeri said:
Pardon me if i am wrong..but it all depends on the selections doesn't it? If i select consecutive numbers between 3-102,6-105 and 9-108 then the prob = 0Similarly if i select 1-100,2-200,4-400 then i will have exactly 33..then prob = 1In the same way the prob can be 1/3 as well as 2/3It all depends on which series of consecutive numbers you select. isn't it?
yeah it depend on the series you select.
but there are only three types of series you can select.

3k to 3k + 99
3k + 1 to 3k + 100
3k + 2 to 3k + 101

only the first series will have 34 elements
In how many ways four letters of word STARTS be arranged?
a) 66
b) 102
c) 54
d) 97
@sowmyanarayanan said:
In how many ways four letters of word STARTS be arranged? a) 66b) 102c) 54d) 97
66?
@sowmyanarayanan said:
In how many ways four letters of word STARTS be arranged? a) 66b) 102c) 54d) 97
102
@sauravd2001
@catter2011 have posted the options
@krum its 102


@soumitrabengeri said:
Pardon me if i am wrong..but it all depends on the selections doesn't it? If i select consecutive numbers between 3-102,6-105 and 9-108 then the prob = 0Similarly if i select 1-100,2-200,4-400 then i will have exactly 33..then prob = 1In the same way the prob can be 1/3 as well as 2/3It all depends on which series of consecutive numbers you select. isn't it?
it depends but if u take analogy.. 2/3 comes out , wenever we start with a mutiple of 3, ie 3k..
3.......... 102 , 6........ 105 , 9.........108.. u get 34 cases.
in others like 1....99 , 2 , 4 , 5 , 7 , 8 u get 33 , so outa 9.. u get 6 cases wit 33..
similarly with numbers till infinity.. we get 6/9 cases.. that be 2/3. in case of exactly..
else 1..
@catter2011 said:
@catter2011 thanks for clearing concept too..its like 4* ( 1/2 * 5 + 1/2 * 2 * _/2 * 1/_/2) = 14
i to just made figure horizontal and vertical sides = _/2
slant sides at 45 degree = 2

this made a square of side 3_/2 with corners removed of length 2 ???


didnt understand ur approach ????
@sowmyanarayanan said:
@sauravd2001@catter2011 have posted the options
options make ques easy..thanks its 102
@krum said:
6c4*4!=360case when both Ts are included (not both S) - 3c2*4!/2! = 36similarly for both Ss (not both T) = 36when both S and Ts are used = 4!/(2!*2!)=6so 360-36-36-24= 264
you havenn't included the case where all are different i suppose
@sauravd2001 said:
@krum@pavimai@soumitrabengeri hey guys if u on fb please like this group www.facebook.com/groups/265906... its for malala yousufzai
next time.. put this on shout box or any other thread.. not this. it is strictly quant thread.. no crap to be entertained.
@dragster said:
it depends but if u take analogy.. 2/3 comes out , wenever we start with a mutiple of 3, ie 3k.. 3.......... 102 , 6........ 105 , 9.........108.. u get 34 cases.in others like 1....99 , 2 , 4 , 5 , 7 , 8 u get 33 , so outa 9.. u get 6 cases wit 33..similarly with numbers till infinity.. we get 6/9 cases.. that be 2/3. in case of exactly..else 1..
absolutely correct..every 6 out of 9 cases will satisfy..so the answer will have to be 2/3
My initial answer was 1 as i misread the question as atleast 33..
@bullseyes mind ur language n its not crap if u dont know whos this girl then keep ur mouth shut and mind ur own work
@techsurge said:
i to just made figure horizontal and vertical sides = _/2slant sides at 45 degree = 2this made a square of side 3_/2 with corners removed of length 2 ???didnt understand ur approach ????
make e figure

divide it into 4 equal parts

so 4*

then each part will form a quadrilateral of sides _/5 , 2, _/2 , _/5

upper triangle will have an area of 1/2*_/5*_/5* sin90 and lower one have 1/2 * 2* _/2*sin135


@techsurge said:
i to just made figure horizontal and vertical sides = _/2slant sides at 45 degree = 2this made a square of side 3_/2 with corners removed of length 2 ???didnt understand ur approach ????
@sowmyanarayanan said:
In how many ways four letters of word STARTS be arranged? a) 66b) 102c) 54d) 97
102?
@techsurge said:
i to just made figure horizontal and vertical sides = _/2slant sides at 45 degree = 2this made a square of side 3_/2 with corners removed of length 2 ???didnt understand ur approach ????
hard way :splat: