Official Quant thread for CAT 2013

@Buck.up said:
Plz solve :
Would be 60, there is a theorem on internal intersection of secants...angle formed is half the sum of arcs/central angles?

regards
scrabbler

@scrabbler said:
Would be 60, there is a theorem on internal intersection of secants...angle formed is half the sum of arcs/central angles?regardsscrabbler
saar iska koi link ya doc ho to dena
@Buck.up said:
saar iska koi link ya doc ho to dena
Hai nahin offhand, will search on net and update if I find one...gimme 5 min...

Update: Best I could find till now...

http://2000clicks.com/mathhelp/GeometryTriangleInscribedAngleCircle2.aspx

regards
scrabbler
@Buck.up said:
Plz solve :
60?

@Logrhythm

according to the euler's theorem.. 5^36-1 mod 12^n is 0 when E(12^n) is a factor of 36.
E(12^2)=36 which the largest factor of 36. hence 2 is the answer.
@simplydevesh said:
@Buck.up@Logrhythm said:hahahah....i remember i did that in an interview when i asked "what is your fav subject" i replied "math" and uske baad it was a colossal fiasco.....pata nahi usko laga meine math bola toh mein Aryabhatt hunok, no spammingq) what is the highest power of 12 that divides (5^36 - 1)1,2,3,42?can u plz explain??
(1+4)^36 - 1 = [36c0 * 1^36 *4^0 + 36c1*1^35 * 4^1 + 36c2*1^34*4^2+.... - 1]/12

[36*4 + ....]/12 ; 36*4 = 12*12 ; so highest power of 12 that can divide 5^36-1 is 2 .
@Logrhythm said:

q) what is the highest power of 12 that divides (5^36 - 1) 1,2,3,4
2

@scrabbler sorry for late reply
But 512 is correct

Two points are chosen uniformly at random on the unit circle and joined to make a chord C1. This process is repeated 3 more times to get chords C2,C3,C4. The probability that no pair of chords intersect can be expressed as a/b where a and b are coprime positive integers. What is the value of a+b?

@Buck.up said:
There are 25 points on a plane of which 7 are collinear , how many quadrilaterals can be formed from these points?a)5206b)2603c)13015d)none of these
D.
A dishonest milkman earned 25% profit by mixing water into it. What is the percentage of water in mixture he sold this milk solution at cost price??????
@sumit99 said:
A dishonest milkman earned 25% profit by mixing water into it. What is the percentage of water in mixture he sold this milk solution at cost price??????
CP=100(for 100% pure milk)

100-x/x = 1/4
400=5x
x=80

hence 20% water?

20

assume 100l of milk initially and he adds 25 litre of water to gain 25% profit =>25/125 =20%
What is the percentage of water in mixture
@albiesriram Is q3 - answer 1/cos50 q2 - x/2root2
@albiesriram said:
2)x/2srt(2)??
@albiesriram said:
3)
1/cos50 will be the biggest
@albiesriram said:
is it 3/4 for the first one


@albiesriram said:
it will be E: 1-(pi/8)
@sumit99 said:
A dishonest milkman earned 25% profit by mixing water into it. What is the percentage of water in mixture he sold this milk solution at cost price??????
20%