Official Quant thread for CAT 2013

hw many diff no which are less dan 2 * 10^8 can be formed using digit 1 & 2?


@The_Loser said:
hw many 6 digit no are dre having 3 odd & 3 even digits?
43200??
@ravi.theja said:
43200??
approch?
ans = 281250
@The_Loser said:
approch?ans = 281250
odd ==> 1,3,5,7,9 selecting 3 ==> 6c3
even==> 2,4,6,8 selectng 3 ==> 5c3

total ways = 6c3*5c2*6!
@ravi.theja said:
odd ==> 1,3,5,7,9 selecting 3 ==> 6c3even==> 2,4,6,8 selectng 3 ==> 5c3total ways = 6c3*5c2*6!
1stly repitition is allowed, as nth mention as such regarding non repition.
n zero bhi to even hai na
@The_Loser
28800
@ishu1991 said:
@The_Loser28800
2,81,250
@The_Loser said:
hw many 6 digit no are dre having 3 odd & 3 even digits?
Total ways=5C3*5C3*6!

Subtract those cases when righmost digit is 0

4C2*5C3*5!

5C3*5C3*6!-4C2*5C3*5!
@gnehagarg said:
Total ways=5C3*5C3*6!Subtract those cases when righmost digit is 04C2*5C3*5!5C3*5C3*6!-4C2*5C3*5!
approach is quite ryt. only problem is wid digits repeatation. Nowre mention u just have to take 3 diff odd n even digits required.
@vbhvgupta said:
Q2
10
@vbhvgupta said:
Q1
A=1(1-(1/4)^n)/(1-1/4)=4/3(1-(1/4)^n)
B=1(1-(1/2)^2n)/(1-(1/2)=2(1-(1/4)^n)
A/B=2/3?

what will be the day of the week on 10th december of 1989?

In a triangle ABC, AD , BE ,AND CF are internal angle bisectors of the angles A,B AND C respectively . if D divides BC in the ratio 1:2 and E divides AC in the ratio 3:4, what is the ratio in which F divides AB?
PLEASE HELP

@fireatwill Slight sunshine in the morning followed by heavy rains in the night.

BRO , THIS ANSWER IS BIT TOO BIG

guys pleASE help me out with this question-two vessels contain spirit and water mixed respectively in the ratio 1:3 and 3:5. Find the ratio in which these are to be mixed to get a new mixture in which the ratio of spirit to water is 1:2?

@fireatwill said:
what will be the day of the week on 10th december of 1989?
to find out days against dates....use zeller's rule

10 + [129/5] + 89 + [89/4] + [19/4] - 38 = 10 + 25 + 89 + 22 + 4 - 38 = 112
112 is 7k form...hence it was a sunday..

i have attached a txt file explaining zeller's rule with this post...

@vishcat said:
guys pleASE help me out with this question-two vessels contain spirit and water mixed respectively in the ratio 1:3 and 3:5. Find the ratio in which these are to be mixed to get a new mixture in which the ratio of spirit to water is 1:2?
1:1 ??

1:2
@fireatwill 6:7...
Use angular bisector theorem for all three sides...
what we need is AC/BC...
@Logrhythm no