Official Quant thread for CAT 2013

@Joey_Sharma said:
actually u posted this question in 2013 quant thread only
may be at the begining im not sure.. we were posting questions for xat i guess..
@albiesriram said:
We cant simply find the 100th term of a fibonacci series... it should be mentioned unless it is undoable by the conventional formula..
How to solve if we have 100th term ?

Suppose a1, a2, a3 ... an are the terms of the fibonacci series numbers.


sum of their squares is
a1^2+ ( an.an+1 ) - a1a2
sum of them will be
an+2 - a2

@dushyantagarwal
@albiesriram said:
Suppose a1, a2, a3 ... an are the terms of the fibonacci series numbers.sum of their squares is a1^2+ ( an.an+1 ) - a1a2 sum of them will be an+2 - a2@dushyantagarwal
How you got that .. Is this a predefined property or something ?
@dushyantagarwal said:
How you got that .. Is this a predefined property or something ?
yup fundamentals of fibonacci series..
@albiesriram said:
yup fundamentals of fibonacci series..
Oh okey .. I will check that out!
Thanks buddy

Find the SP of goods if 2 salesmen claim to make 25% profit each, one calculating at CP and one at sp, the difference in profits earned being rs 100 and sp being the same in both case.

if Four squares of size 1*1 are chosen at random on a chess board of size 8*8,what is the probability that they are in the same diagonal?

@vbhvgupta said:
Find the SP of goods if 2 salesmen claim to make 25% profit each, one calculating at CP and one at sp, the difference in profits earned being rs 100 and sp being the same in both case.
Sp/4-y/4=100
SP-y=400
SP-x=0.25SP
x=0.75SP

SP-y=0.25y
Sp=1.25y

y/4=400
y=1600
SP=5/4 *1600=2000?


@pakkapagal said:
if Four squares of size 1*1 are chosen at random on a chess board of size 8*8,what is the probability that they are in the same diagonal?
2*8c4/64c4 = 140/635376=35/158844?
@vbhvgupta said:
Find the SP of goods if 2 salesmen claim to make 25% profit each, one calculating at CP and one at sp, the difference in profits earned being rs 100 and sp being the same in both case.
2000?
@Subhashdec2 said:
2*8c4/64c4 = 140/635376=35/158844?
bhai nhi yar maine bhi yhi kiya tha.tabhi to pucha....OA is 364/64C4
@pakkapagal said:
if Four squares of size 1*1 are chosen at random on a chess board of size 8*8,what is the probability that they are in the same diagonal?
@Subhashdec2 said:
2*8c4/64c4 = 140/635376=35/158844?
@pakkapagal said:
bhai nhi yar maine bhi yhi kiya tha.tabhi to pucha....OA is 364/64C4
@scrabbler kuch gyaan dena jara idhar
@pakkapagal said:
@scrabbler kuch gyaan dena jara idhar
2*8C4 +4(7C4+6C4+5C4+4C4) = 364 in the numerator?

Diagonal on a chessboard is not only the longest diagonal (not the geometry waala definition) on a square...it is any path on which a bishop moves na...so 2 diagonals of length 8 hai, but next to them 4 of length 7, and 4 of length 6, 5, 4, 3, etc....

regards
scrabbler

@albiesriram said:
38??
@ravi.theja said:
38??
nope. OA is 40.
@scrabbler said:
2*8C4 +4(7C4+6C4+5C4+4C4) = 364 in the numerator?Diagonal on a chessboard is not only the longest diagonal (not the geometry waala definition) on a square...it is any path on which a bishop moves na...so 2 diagonals of length 8 hai, but next to them 4 of length 7, and 4 of length 6, 5, 4, 3, etc....regardsscrabbler
thnks....
@vbhvgupta Taking S.P as 100 we get C.P as 80 and 75. So difference in profits in 5. So for diff in Profit to be 100, S.P shud be 2000. Is it correct????
@albiesriram said:
B?