Official Quant thread for CAT 2013

@vbhvgupta said:
Q7
0
@vbhvgupta said:
Q 50
B)

@vbhvgupta

Q7 - a
@Asfakul said:
In How many ways 8 distinct balls can be divided among 3 people such that anyone can get any number of balls? OA- 3^8Why cant we not perceive the problem as A+B+C=8where A,B,C are the number of balls each may receive. In that case number of solution is 8+3-1C2=10C2Please explain why cant we take this approach and where can we use this approach as well .@chillfactor@Subhashdec2@grkkrg@gs4890 PLEASE HELP !
i think we cannot use that formula because balls are distinct ....
@vbhvgupta said:
Q7
option 1 i.e. zero IMO.
@rahulgaur666 said:
B)
@hesse said:
@vbhvguptaQ7 - a
explain

Q 30

@vbhvgupta said:
Q 30
4

lhs= 3/2* 2 log 1/2base 1/2 = 3

rhs=logbase2 (4^x +1)* ( 2+ logbase2 (4^x+ 1))
let logbase2 ( 4^x +!)= A
therefore, eqn becomes A^2+2A-3=0
Which gives x=0 as the solution.
ps- mujhe PG pe log function likhna nahi aata.
@rahulgaur666 said:
4
OA 16
@zuloo @rahulgaur666 it was said in the beginning of this thread that u need to xplain and not just post ur answer. so, kindly do so coz in that way it would help people who visit these pages later, especially those who hav problm in QA. its an appeal to all those who jst show that they know. its good to know but PG is a public forum and this thread is for evry1 who needs to practise/clarify/strengthen ther QA. so,kindly help evry1 by explaning ur answers, rather than just marking ur answers..
@sachinjha said:
@zuloo @rahulgaur666 it was said in the beginning of this thread that u need to xplain and not just post ur answer. so, kindly do so coz in that way it would help people who visit these pages later, especially those who hav problm in QA. its an appeal to all those who jst show that they know. its good to know but PG is a public forum and this thread is for evry1 who needs to practise/clarify/strengthen ther QA. so,kindly help evry1 by explaning ur answers, rather than just marking ur answers..
sorry dude I was having my lunch , I will take care of this thing while answering my question
@rahulgaur666
@vbhvgupta said:
Q 50
option b IMO.
@vbhvgupta said:
Q 30
X^2-Y^2 =247
(x+Y)(X-Y)=247
so possible combo
1*247
(124,123)
-1*-247
(-124,123)
13*19
(16,3)
-13*-19
(-16,3)
I am assuming no ordering if we assume ordering then we might have different answer
@sachinjha said:
@zuloo@rahulgaur666 it was said in the beginning of this thread that u need to xplain and not just post ur answer. so, kindly do so coz in that way it would help people who visit these pages later, especially those who hav problm in QA. its an appeal to all those who jst show that they know. its good to know but PG is a public forum and this thread is for evry1 who needs to practise/clarify/strengthen ther QA. so,kindly help evry1 by explaning ur answers, rather than just marking ur answers..
yaar mujhe log function likhna nahi aata PG pe. main samjha sakta hoon.
@vbhvgupta said:
OA 16
how come 16
@zuloo log functn likhne ki zarurat nhi.. jst let ur answers b xplaind or attach a pic which wil cnsist of ur solution(in the worst case)
@vbhvgupta said:
Q7
0 ?

log(1/rt2)(1/rt8) = log(1/rt2)(1/2rt2) = log(1/rt2)(1/2) + log(1/rt2)(1/rt2) = 2*1 + 1 = 3
now take RHS and put x = 0
log(2)(4^0 + 1)*log(2)(4^(0 + 1) + 4) = log(2)(2) * log(2)(8) = 1*3*1 = 3
so LHS = RHS

In a race A beats by 10 sec, B beats C by 20 seconds. By how many seconds did A beats c?