Official Quant thread for CAT 2013

@Subhashdec2 said:
_ B_B_B_B_B_5 boys 6 spaces6 spaces to be filled by 5 girlsa+b+c+d+e+f=5b,c,d,e has to be 1a+b+c+d+e+f=16 solutions5!*5!*6
b+c+d+e=4
->a+f=1
(1,0) , (0,1) aur koi case possible nahi hai
@psk.becks said:
b+c+d+e=4->a+f=1(1,0) , (0,1) aur koi case possible nahi hai
bhai b can be 2 as well
BGGBGBGBGB

b has to be 1 atleast
same for c d e

Subhashdec2

____/\____

Two-third of a consignment was sold at a profit of 5% and the remainder at a loss of 2%. If the total profit was Rs. 400, the value of the consignment (in rupees) was:
a] 20000 b] 15000 c] 12000 d] 10000
How many pairs of integers exist such that the difference between their sum and product is 42?a) 1b) 2c) 3d) 4
Twenty-ďŹ ve people sit around a circular table. Three of them are
chosen randomly. What is the probability that at least two of the three had
been sitting next to one another?

@Faruq said:
Two-third of a consignment was sold at a profit of 5% and the remainder at a loss of 2%. If the total profit was Rs. 400, the value of the consignment (in rupees) was: a] 20000 b] 15000 c] 12000 d] 10000
15000
@Faruq said:
How many pairs of integers exist such that the difference between their sum and product is 42?a) 1b) 2c) 3d) 4
xy-x-y=42
(x-1)(y-1)=43
x=44
y=2

so 1??
@Subhashdec2 said:
xy-x-y=42(x-1)(y-1)=43x=44y=2so 1??
TRY AGAIN BHAI
@heylady said:
Twenty-ďŹ ve people sit around a circular table. Three of them arechosen randomly. What is the probability that at least two of the three hadbeen sitting next to one another?
( 25*21C1 + 25 )/25C3 = 11/46 ?
@Faruq said:
Two-third of a consignment was sold at a profit of 5% and the remainder at a loss of 2%. If the total profit was Rs. 400, the value of the consignment (in rupees) was: a] 20000 b] 15000 c] 12000 d] 10000
2/3x *1/20 -1/3x *1/50=400
x/30 - x/150=400
4x/150=400
x=15000

Faruq

15000,
2 sol. (0,-42), (2,42)
@VJ12 said:
@saket.soni05Use Eulers theorem method2^2012/2012= 2^(2012/1004)/2012= 2^4=16
Can't use euler's theorem here! Num and Denom are not co-prime.
@Faruq said:
TRY AGAIN BHAI
(x-1)(y-1)=43
x=44
y=2

x=-42
y=0

2??
@Faruq said:
How many pairs of integers exist such that the difference between their sum and product is 42?a) 1b) 2c) 3d) 4
(a+b) - (ab) = 42
a(1-b) - (1-b) = 41
(a-1)(1-b) = 41 ( prime)
So, a = 2, 42
b= -40, 0

2 pairs ?
@Faruq said:
Two-third of a consignment was sold at a profit of 5% and the remainder at a loss of 2%. If the total profit was Rs. 400, the value of the consignment (in rupees) was: a] 20000 b] 15000 c] 12000 d] 10000
15000 ?

2/3*x*5/100 - 1/3x*2/50 = 400
x = 15000
@Subhashdec2 said:
(x-1)(y-1)=43x=44y=2x=-42y=02??
Two cases are possible
a+b-ab=42 and ab-a-b =42

Total 4 ways are -> (0,42)(2,-40),(44,2),(-42,0)
@techgeek2050
@techgeek2050 said:
option 2 ?AM >= GM
Bhai, iska solution kar do na..
a1+a2=...an/n>=(a1a2a3...an)^1/n but how did you get a1+2a2+...nan>=...
In how many ways can 10 identical objects be distributed among 5 different boxes, such that exactly two of boxes have one each and the rest of the boxes could have any number of objects but not 1 object in them.
@Faruq said:
Two cases are possible a+b-ab=42 and ab-a-b =42Total 4 ways are -> (0,42)(2,-40),(44,2),(-42,0)
sahi h bhai
forgot the opp
integers par itna dhayan ni diya so thought sum bada kaise ho skta h...:P