Official Quant thread for CAT 2013

@jain4444 said:
what is the sum of all factors of (2^97-1)
answer is 2^97 ?????
@incognitos said:
answer is 2^97 ?????
how do u know its prime? (in case it is)
@incognitos said:
answer is 2^97 ?????
Please explain

FREEBO

There are two boxes A and B containing 50 red and 50 blue balls respectively.
1) what is the probability of picking a red ball?
2) if you are allowed to move balls from one box to another but not out of the system, what is the maximum probability that can be obtained for picking up a red ball?

@krum said:
FREEBOThere are two boxes A and B containing 50 red and blue balls respectively.1) what is the probability of picking a red ball?2) if you are allowed to move balls from one box to another but not out of the system, what is the maximum probability that can be obtained for picking up a red ball?
1) 1/2*0 + 1/2*1 = 1/2

2)148/198.....?

are these correct...?

and watz this new profile pic....?which anime..?
@krum said:
FREEBOThere are two boxes A and B containing 50 red and 50 blue balls respectively.1) what is the probability of picking a red ball?2) if you are allowed to move balls from one box to another but not out of the system, what is the maximum probability that can be obtained for picking up a red ball?
1. 1/2
2. 1/2(1) + 1/2(49/99) = 148/198 = 74/99
@krum said:
how do u know its prime? (in case it is)
pure guess work yaar...
@shadowwarrior said:
@krum1) 1/2*0 + 1/2*1 = 1/22)148/198.....?are these correct...?and watz this new profile pic....?which anime..?
wolverine ftw 😃 , correct
@krum said:
how do u know its prime? (in case it is)
If x^n - 1 is prime, then x is 2 and n is prime. Just a thought
@naga25french said:
If x^n - 1 is prime, then x is 2 and n is prime. Just a thought
i checked on wolfram, its not prime, 11447 is a factor :(, but how to find in exam?
@jain4444
@naga25french said:
If x^n - 1 is prime, then x is 2 and n is prime. Just a thought
yeah this is correct but naga saar why it's not applicable on 2^11 - 1

rest all prime values of n are okay
@krum said:
i checked on wolfram, its not prime, 11447 is a factor , but how to find in exam?@jain4444
Thats right .. but what i said is corollary .. ofcourse doesnt seem right in this case 😃
@krum said:
FREEBOThere are two boxes A and B containing 50 red and 50 blue balls respectively.1) what is the probability of picking a red ball?2) if you are allowed to move balls from one box to another but not out of the system, what is the maximum probability that can be obtained for picking up a red ball?
1. 1/2
2. 1/2(1+49/99)=148/198?
@jain4444 said:
yeah this is correct but naga saar why it's not applicable on 2^11 - 1 rest all prime values of n are okay
check this out -- > http://primes.utm.edu/notes/proofs/Theorem2.html

As i mentioned in previous post , only if that big number is prime , we can deduce smaller n as prime .. Not the other way around

As @krum said there is a factor 11447 for 2^97 - 1

puzzle - You are given a barometer and a stopwatch, how would you measure height of a building?

@krum said:
puzzle - You are given a barometer and a stopwatch, how would you measure height of a building?
to hell with the barometer....i will drop a stone from the top., find out the time and use 1/2*g*(t^2) formula for the building height
@krum
@krum said:
puzzle - You are given a barometer and a stopwatch, how would you measure height of a building?
drop the barometer from the top and measure time. h=0.5at^2
@shadowwarrior said:
to hell with the barometer....i will drop a stone from the top., find out the time and use 1/2*g*(t^2) formula for the building height
u don't get a stone, break the barometer or measure air pressure on roof and ground and convert into proper units :p
@shadowwarrior why do u have to throw the stone when you already have the barometer ?:P drop the barometer and follow the same procedure , my friend was asked the very same question for Mu Sigma interview :)

@krum said:
puzzle - You are given a barometer and a stopwatch, how would you measure height of a building?
Drop the barometer from the top of the building and measure the time it takes to hit the ground.