Official Quant thread for CAT 2013

@techsurge said:
no sol, both are cmng
@krum said:
log9a=log3b=k=>a=k^9, b=k^3so a=b^3galat hai kya?
A=9^k, B=3^k hoga bhai
@techsurge said:
Find number of real solutions of log_base9_(2x^2+3x+1) = log_base3_(x-3)
Constraints:

2x^2 + 3x + 1 > 0 and x -3 > 0
(2x +1)(x+1) > 0 and x > 3

x > 3

Now,

2x^2 +3x + 1 = (x - 3)*(x-3)
=> 2x^2 + 3x + 1 = x^2 - 6x + 9
=> x^2 + 9x - 8 = 0 => Both rejected

0 solutions !?
@krum said:
all 3 digit numbers i.e 900
prime factors . i read it as factors . and dat was one insurmountable task !!
@viewpt said:
wo square hai cube ki jagah..-------------------------------------------Q: A grasshoper at a meter distance froma wall. with everey jump te covers half of the remaining distance. find the no. of jumps required to reach to the wall?
infinite ??
@krum said:
log9a=log3b=k=>a=k^9, b=k^3so a=b^3galat hai kya?
2x^2+3x+1=m
x-3=n
log(m)/log(3^2)=log(n)/log3
logbase3(m)=2 logbase3(n)
now it will becm square on RHS

@krum said:
how many 3 digit natural numbers have less than 5 prime factors?
sabhi 3 digit no honge aise to...
minimum no which can have 5 prime factor
= 2*3*5*7*11 = 2310
which is digit no

@viewpt said:
wo square hai cube ki jagah..-------------------------------------------Q: A grasshoper at a meter distance froma wall. with everey jump te covers half of the remaining distance. find the no. of jumps required to reach to the wall?
Not possible. infinite jumps

There are 8 poles on the same side of a striaght road. Two of these poles are without flags, two have same country flag, 4 of them have plain flags but of different colour, What is the probability that first four poles from either end have two flags of the country and 2 plain colored flags ??

@techsurge said:
There are 8 poles on the same side of a striaght road. Two of these poles are without flags, two have same country flag, 4 of them have plain flags but of different colour, What is the probability that first four poles from either end have two flags of the country and 2 plain colored flags ??
6/35
@techsurge said:
There are 8 poles on the same side of a striaght road. Two of these poles are without flags, two have same country flag, 4 of them have plain flags but of different colour, What is the probability that first four poles from either end have two flags of the country and 2 plain colored flags ??
3/35?
@FoolNFinal said:
A=9^k, B=3^k hoga bhai
@viewpt said:
2x^2+3x+1=mx-3=nlog(m)/log(3^2)=log(n)/log3logbase3(m)=2 logbase3(n)now it will becm square on RHS
han bhai, aaj din kaharb chal rha hai :splat:
@techsurge said:
There are 8 poles on the same side of a striaght road. Two of these poles are without flags, two have same country flag, 4 of them have plain flags but of different colour, What is the probability that first four poles from either end have two flags of the country and 2 plain colored flags ??
(4c2*4!/2*4!/2*2)/(8!/4)
=6/35
@techsurge said:
There are 8 poles on the same side of a striaght road. Two of these poles are without flags, two have same country flag, 4 of them have plain flags but of different colour, What is the probability that first four poles from either end have two flags of the country and 2 plain colored flags ??
1/70

[ (4!*4!/ 2!*2! )/(8!/2!*2!)] = 1/70

prob vale kabhi sahi nai hote mere
@techsurge said:
There are 8 poles on the same side of a striaght road. Two of these poles are without flags, two have same country flag, 4 of them have plain flags but of different colour, What is the probability that first four poles from either end have two flags of the country and 2 plain colored flags ??
6/35 ??
@FoolNFinal said:
sabhi 3 digit no honge aise to...minimum no which can have 5 prime factor= 2*3*5*7*11 = 2310which is digit no
yar samjh nai aa rha hai ye..
=======================

Q: find the are of 5 sided regular polygon of length 10 each?
@techsurge said:
There are 8 poles on the same side of a striaght road. Two of these poles are without flags, two have same country flag, 4 of them have plain flags but of different colour, What is the probability that first four poles from either end have two flags of the country and 2 plain colored flags ??
was done yesterday

6/35 i think..

6/35 is the OA

(4c2*(4!/2!)*(4!/2!)*2) / (8!/(2!*2!))

@rubikmath said:
6/35 ??
@viewpt said:
6/35
@viewpt said:
yar samjh nai aa rha hai ye..=======================Q: find the are of 5 sided regular polygon of length 10 each?
125/tan36 ?
what is OA?
@viewpt said:
yar samjh nai aa rha hai ye..=======================Q: find the are of 5 sided regular polygon of length 10 each?
By applying area = na^2/4Cot(pie/n) = 500/4Cot36

IF

log(4^x+1)+2x=log15+xlog4
1) x is a prime number
2) 2x is prime number
3)4x is prime number
4) 8x is prime