Official Quant thread for CAT 2013

@vbhvgupta said:
Q3
Option b) 7

N = DA+15
10N = DB+6
10N = 10DA+150, but as the remainder is 6, divisor or multiple of divisors =144
144 = 3^2*2^4, number of factors are 15
but 1,2,3,4,6,8,9,12 cannot be the divisors, hence 15-8 = 7
@vbhvgupta said:
Remainder 43^101 + 23^101 is divided by 66
0
@vbhvgupta said:
Q1
CBD
@ravi.theja said:
CBD
its 22
in how many ways can 7 persons sit around a circular table such that all shall not have same neighbors in any two arrangements ??
@shinoda

Is it 360??
@pyashraj said:
@shinodaIs it 360??
yep..how?
@shinoda

There are total 6! = 720 ways of sitting around a table.

Now if a neighbor is sitting to left of a person, there will be another arrangement in which the neighbor person sits right to him. This will hold good for all the persons who could become a neighbor one by one.

Therefore the required arrangement will be 720/2 = 360..

@abhinavrules I am also in ur category........

Q. the greatest possible number of points of intersection of 8 straight lines and 4 circles is

a) 32

b) 64

c) 76

d) 104

@getupsid said:
Q. the greatest possible number of points of intersection of 8 straight lines and 4 circles is a) 32b) 64c) 76d) 104
Straight lines can intersect among themselves in 8C2 ways
Circles can intersect among themselves in 2*4C2 ways

Max point of intersection possible bet circles and stlies = 2*8*4
8C2 + 4*3 + 2*8*4
28+12+64 =104 ?
@getupsid said:
Q. the greatest possible number of points of intersection of 8 straight lines and 4 circles is a) 32b) 64c) 76d) 104
Its 64. 2*no of circles*no of straight lines
@Budokai001 said:
Straight lines can intersect among themselves in 8C2 waysCircles can intersect among themselves in 2*4C2 ways Max point of intersection possible bet circles and stlies = 2*8*4 8C2 + 4*3 + 2*8*428+12+64 =104 ?
Why did you add 8c2 and 2*4c2?? I think question only intersection of circles and straight lines. Correct me if iam wrong
@pirateiim478

thanx....


@pirateiim478 in book (nishit sinha) its given 76
@pirateiim478 in book (nishit sinha) its given 76
@pirateiim478 said:
Why did you add 8c2 and 2*4c2?? I think question only intersection of circles and straight lines. Correct me if iam wrong
We are trying to maximize the number of intersection bro . Thats y
Here we add those 3 considering all those points are different
( Assuming that points of intersection of straight lines alone are different from point of intersection of circles alone which are different from point of intersection of straight lines&circles;t. Hope you understand..

@pirateiim478 @getupsid Just googled and found its 104 indeed. So i guess 76 which was given in book is wrong buddy
@getupsid

Din't get you bro!
@abhinavrules

i meant dat i am also 3rd year engg. student aiming for CAT

@Budokai001 kkkkkkkkkkkk