Official Quant thread for CAT 2013

@rachit_28 said:
sorry bhai, isme dummy variable aapne f maan liya, f =5 remove kyu kiya ?
f=5 means rest all 0 which cnt be possible
@rachit_28 said:
sorry bhai, isme dummy variable aapne f maan liya, f =5 remove kyu kiya ?
f=5 hoga yani, a=b=c=d=e=0 , par 00000 is not a natural number
In a temple there r 12 pair of shoes. A boy steals 4 shoes.whats t probablty tht atleat one Left-Right pair of matchng shoes is stolen.?
My approach:

(1/12)*(1/22)*(1/20) + (1/12)*(1/11)

sahi hai @krum bhai ?

Edited.
Q) Four slip of papers with the numbers 1, 2, 3, 4 written on them are put in a box. They are drawn one by
one (without replacement) at random. In how many ways it can happen that the ordinal number of
atleast one slip coincide with its own number.

a) 37
b) 24
c) 15
d) 18

6, 8, 10, and 12 I think.

No other information was given
@rachit_28 said:
In a temple there r 12 pair of shoes. A boy steals 4 shoes.whats t probablty tht atleat one Left-Right pair of matchng shoes is stolen.?My approach:(1/12)*(1/22)*(1/21) + (1/12)*(1/11)sahi hai @krum bhai ?
(12c1*10c2*2^2+12c2)/(24c4)
==>(12*45*4+66)/24c4
==>2226/10626
==>53/253

dekho match kar rha hai kya? OA kya hai?
Kindly help me with this one:
In how many ways we can select four cards of different suits & different denominations from a deck of 52 cards??

Confusion is between : 52 X 36 X 22 X 10
and 13 X 12 X 11 X 10

Which one is correct & why ???
@krum OA nhi hai mere pass :(
A medical clinic tests blood for certain disease from which approximately one person in a hundred suffers. People come to the clinic in group of 50. The operator of the clinic wonders whether he can increase the efficiency of the testing procedure by conducting pooled tests. In the pooled test, the operator would pool the 50 blood samples and test them altogether. If the pooled test was negative, he could pronounce the whole group healthy. If not, he could then test each person €™s blood individually. The expected number of tests the operator will have to perform if he pools the blood samples are:
(A) 47 (B) 25 (C) 21 (D) None of the above
ďťż

approach plz??
@Torque024 said:
Q) Four slip of papers with the numbers 1, 2, 3, 4 written on them are put in a box. They are drawn one byone (without replacement) at random. In how many ways it can happen that the ordinal number ofatleast one slip coincide with its own number.a) 37b) 24c) 15d) 18
4!-D(4)

D(4)=4!(1-1/1!+1/2!-1/3!+1/4!)
==>4!(1/2-1/6+1/24)
==>12-4+1=9

total ways =24-9=15

c)15

@rachit_28
we have 12 pairs of shoes or 24 shoes.
No of ways of selecting 4 shoes =24C4

No of ways in which none of the paris are selected = 24*22*20*18

Hence required= 1-(24*22*20*18/24C4)=2706/10626 ??

@farziPandit said:
Kindly help me with this one:In how many ways we can select four cards of different suits & different denominations from a deck of 52 cards??Confusion is between : 52 X 36 X 22 X 10and 13 X 12 X 11 X 10Which one is correct & why ???
check last 2 pages, all the discussion u need are there
@krum said:
4!-D(4)D(4)=4!(1-1/1!+1/2!-1/3!+1/4!)==>4!(1/2-1/6+1/24)==>12-4+1=9total ways =24-9=15c)15
Can't get it, explain.
@gs4890

http://www.time4education.com/iiftoriginalpapers/forprint.asp?yr=IIFT2006

Please check if this works..if it does..i will upload the other papers as well
@maddy2807
@maddy2807 said:
In how many ways we can select four cards of different suits & different denominations from a deck of 52 cards??Confusion is between : 52 X 36 X 22 X 10and 13 X 12 X 11 X 10@krum
thank u sirji, quant thread main post karne ke liye!!!!
@ani4588 said:
A medical clinic tests blood for certain disease from which approximately one person in a hundred suffers. People come to the clinic in group of 50. The operator of the clinic wonders whether he can increase the efficiency of the testing procedure by conducting pooled tests. In the pooled test, the operator would pool the 50 blood samples and test them altogether. If the pooled test was negative, he could pronounce the whole group healthy. If not, he could then test each person €™s blood individually. The expected number of tests the operator will have to perform if he pools the blood samples are: (A) 47 (B) 25 (C) 21 (D) None of the aboveapproach plz??


1+50c1*(1/100)^49*(99/100)+50c2*(1/100)^48*(99/100)^2+50c3*(1/100)^47*(99/100)^3...
==>1+(1/100)^50*(50c1*99+50c2*99^2+50c3*99^3+....+50c50*99^50)

aisa nai hai na

@rachit_28 said:
In a temple there r 12 pair of shoes. A boy steals 4 shoes.whats t probablty tht atleat one Left-Right pair of matchng shoes is stolen.?My approach:(1/12)*(1/22)*(1/20) + (1/12)*(1/11)sahi hai @krum bhai ?Edited.
Probability( at least one Left-Right pair) = 1 - P(no left-Right pair selected)

P(no left-Right pair selected) = (12C4)*(2^4)/ 24C4 = 12.11.10.9.16 / 24.23.22.21 = (15.16)/322, I think

P(at least one Left-Right pair) = 1- (15.16)/322 = 82/322 = 41/ 161 ?
@Torque024 said:
Can't get it, explain.
its same as putting 4 letters in 4 envelopes such that at least 1 goes in right envelope
if u don't know about the concept of dearrangement then check Reply #13
www.pagalguy.com/forums/cat-and-related-bschools/cat-revision-topic-day-t-85202/p-3601173?page=1
In how many ways can 32 different books be divided equally amongst
1.4 Boys

I approached like this:

32C8*4*24C8*3*16C8*2
sahi hai ?
@krum @soumitrabengeri
PS: aaj to mein aapke peeche hi pad gaya :splat:
@krum said:
check last 2 pages, all the discussion u need are there
Am i also ordering the cards instead of selecting if i'm going with 52 * 36 * 22 * 10 instead of 13 * 12 * 11 *10 ???

@Brooklyn
@rubikmath thoda prakash daale , still not clear which one to go for!!!