Official Quant thread for CAT 2013

@trip said:
Dude can u attach an answer fig. I am not able to visualise
http://www.pagalguy.com/posts/4852910

Check it once kuch samajh aye to..
@chillfactor thanks a lot :)
@ScareCrow28 said:
Got it yaaar... Thanks
f(1,2)=4
and f(4,2)=1
If f(x,y) is a linear function then find f(10,4)?

@Logrhythm said:
take any random length of the string and calculate this....1/4 aa jayegi probability

2 case: either side of the stick
1 case :jisme possible hai..
1 case :jisme one is more than or equal to other two
total 4 case out of which one is possible...so 1/4
Aisa kya????(m confused in the cases)
@hatemonger said:
X+1/X=4 than find the value of X^4-1/X^4????
is it 112_/3

@trip said:
Dude can u attach an answer fig. I am not able to visualise

bhai i dont know how to make a diagram , ping me how to do it and i will try :)
@saurabhlumarrai said:
f(1,2)=4and f(4,2)=1If f(x,y) is a linear function then find f(10,4)?
0 ?

f(x,y) = ax + by
Solve karne k baad f(10,4) = 0
@saurabhlumarrai said:
f(1,2)=4and f(4,2)=1If f(x,y) is a linear function then find f(10,4)?
0
@ScareCrow28 said:
0 ?f(x,y) = ax + bySolve karne k baad f(10,4) = 0
correct....dude. what about exact value of f(x,y)???
@bodhi_vriksha said:
See let us assume to break the stick into 2 parts. Now if you put 2 cuts on same side of half stick ...you cant get a triangle because sum of 2 side > 3rd side. so PROB(TRIANGLE NOT FORMED)=1/2now even if 2 cuts are on differnt sides of halves of stick ,distance between these 2 should be less than 1/2(stick)..If this distance >1/2(stick)-->triangle not formed . so PROB(TRIANGLE NOT FORMED)=1/4 from this caseSo total PROB(TRIANGLE NOT FORMED)=1/2+1/4=3/4So PROB(TRIANGLE FORMED)=1/4 Team BV-- Pratik Gauri


For Bold Part
2 case: either side of the stick
1 case :jisme possible hai..
1 case :jisme one is more than or equal to other two
total 4 case out of which one is possible...so 1/4
Aisa kya????(m confused with the cases)
@saurabhlumarrai said:
correct....dude. what about exact value of f(x,y)???
f(x,y) = -x +5y/2 😃 ..
@trip said:
Dude can u attach an answer fig. I am not able to visualise

all credits to Kamal Lohia for drawing this :)


Team BV-- Pratik Gauri

@saurabhlumarrai said:
f(1,2)=4and f(4,2)=1If f(x,y) is a linear function then find f(10,4)?
it will be 0

a+2b=4
4a+2b=1
now 10a+4b = 0
@bodhi_vriksha said:
all credits to Kamal Lohia for drawing this Team BV-- Pratik Gauri
Brilliant Sir! That makes Kamal sir an artistic mathematician!
@ScareCrow28 said:
Brilliant Sir! That makes Kamal sir an artistic mathematician!


find the remainder when 8^643 is divided by 132???

@Gsathe89 said:
find the remainder when 8^643 is divided by 132???
is it 32??
@Gsathe89 said:
find the remainder when 8^643 is divided by 132???
8^643 = 2^1929

2^1929 mod 132 = 4*( 2^1927 mod 33 ) = 4*( (2^5)^385*4 mod 33 ) = 4((-4)) = 4 ( 29 ) = 116 ??
@Gsathe89 said:
find the remainder when 8^643 is divided by 132???
116...