Official Quant thread for CAT 2013

@MikelArteta said:
78.6-45 = 33.6
appr ?
@ankita14 said:
It says they are two independent subsystems :'(
But they can't be independent as the numbers don't match up. Think the problem is ambiguously worded. I ran into the same inconsistencies...

regards
scrabbler

@Brooklyn said:
appraoch ??
1. Conditional Prob hai
P(C' intersection E')/P(E')=0.15/(0.15+0.15)=1/2
2. P(C' total)=P(C')P(E)+P(C' intersection E')
0.2=P(C')0.85+0.15
0.05/0.85=P(C')
@Cat.Aspirant123 said:
appr ?
Remaining Field Area = 20x14 - 6x3 = 262m^2
Volume of soil dug out = 6x3x2.5 = 45m^3
Soil required = 262x0.3 m^3 = 78.6m^3
Extra Requirement = 78.6-45 = 33.6
@deedeedudu said:
1. Conditional Prob haiP(C' intersection E')/P(E')=0.15/(0.15+0.15)=1/22. P(C' total)=P(C')P(E)+P(C' intersection E')0.2=P(C')0.85+0.150.05/0.85=P(C')
I think the second answer should be 1/20 because the question is not that Probability of failure of C alone when E has not failed, it just asks the probability of failure of C alone. So, we need to divide the C alone case by the prob of all other cases possible.
Just my two cents. I am no probability expert.
@Cat.Aspirant123 said:
An agricultural field is in the form of a rectangle of length 20 m and width 14 m. A pit 6 m long,3 m wide and 2.5 m deep is dug in a corner of the field and the earth taken out of the pit is spreaduniformly over the remaining part of the field. In order to raise the height of the field by 30 cm howmuch more soil is required?(1) 29.8 m3 (2) 31 m3 (3) 30.2 m3 (4) 33.6 m3 (5) 78.6 m3
Extra soil+6*3*2.5=((20*14)-(6*3))*.03
Extra soil=33.6
@Cat.Aspirant123 said:
Two litres of a mixture of spirit and water contains 12% water. This is added to 3 L of another mixtureof spirit and water containing 5% of water. Now, this mixture is mixed with 10 L mixture of30% water. What is the percentage of water in final mixture?(1) 22.6% (2) 20% (3) 28% (4) 25% (5) 26.2%
2 lit soln contains .24 lit water
3 lit soln contains .15 lit water
10 lit soln contains 3 lit water
total water in 15 lit soln is 3.39 lit =>22.6%

50 families were surveyed in certain locality. It was found that no family had more than 3 children. The total number of children in the 50 families is 100. If the number of families with exactly 3 children is 30 and the number of families with no child is equal to the number of families with exactly one child, then the number of families with two children is

1. 3
2. 2
3. 1
4. None of these
@MikelArteta ,@sujamait ,@gnehagarg ,@deedeedudu .....sorry for the delayed OA
1)Probability C fails when E has Failed=P(C' intersection E')/P(E')
=0.15/0.15+0.15=1/2=0.5
2)Probability of C fails alone=Total Probability of Cs failing - P(C' intersection E')
=0.2-0.15=0.05
@sowmyanarayanan none of these..

@sowmyanarayanan said:
50 families were surveyed in certain locality. It was found that no family had more than 3 children. The total number of children in the 50 families is 100. If the number of families with exactly 3 children is 30 and the number of families with no child is equal to the number of families with exactly one child, then the number of families with two children is1. 32. 23. 14. None of these
none of these..
@sowmyanarayanan said:
50 families were surveyed in certain locality. It was found that no family had more than 3 children. The total number of children in the 50 families is 100. If the number of families with exactly 3 children is 30 and the number of families with no child is equal to the number of families with exactly one child, then the number of families with two children is1. 32. 23. 14. None of these
4)?
@sowmyanarayanan said:
50 families were surveyed in certain locality. It was found that no family had more than 3 children. The total number of children in the 50 families is 100. If the number of families with exactly 3 children is 30 and the number of families with no child is equal to the number of families with exactly one child, then the number of families with two children is1. 32. 23. 14. None of these
Not
@sowmyanarayanan said:
50 families were surveyed in certain locality. It was found that no family had more than 3 children. The total number of children in the 50 families is 100. If the number of families with exactly 3 children is 30 and the number of families with no child is equal to the number of families with exactly one child, then the number of families with two children is1. 32. 23. 14. None of these
NOT
@sowmyanarayanan said:
50 families were surveyed in certain locality. It was found that no family had more than 3 children. The total number of children in the 50 families is 100. If the number of families with exactly 3 children is 30 and the number of families with no child is equal to the number of families with exactly one child, then the number of families with two children is1. 32. 23. 14. None of these


family with exactly one child =x
family with exactly two child =y
x+2y+90=100
x+2y=10

x+y+30+x=50
2x+y=20

y=0
x=10


@Cat.Aspirant123 said:
Two litres of a mixture of spirit and water contains 12% water. This is added to 3 L of another mixtureof spirit and water containing 5% of water. Now, this mixture is mixed with 10 L mixture of30% water. What is the percentage of water in final mixture?(1) 22.6% (2) 20% (3) 28% (4) 25% (5) 26.2%
240ML+150ML+3000,L=3390ML
total=15000ml
%=339/15=22.6%
@sowmyanarayanan said:
50 families were surveyed in certain locality. It was found that no family had more than 3 children. The total number of children in the 50 families is 100. If the number of families with exactly 3 children is 30 and the number of families with no child is equal to the number of families with exactly one child, then the number of families with two children is1. 32. 23. 14. None of these
none of these
@gautam22 said:
Using the digits 1 up to 9, two numbers must be made. The product of these two numbers should be as large as possible. All digits must be used exactly once. Which are the requested two numbers. ?
Guess...97531 x 8642?

Edit: 96421 x 8753 seems to be coming larger. 😞 Can't see a logic...

Edit 2: Saw a logic (I think) 😃 Posted below...

regards
scrabbler

@gautam22 said:
Using the digits 1 up to 9, two numbers must be made. The product of these two numbers should be as large as possible. All digits must be used exactly once. Which are the requested two numbers. ?
97531*8642?
@sowmyanarayanan said:
50 families were surveyed in certain locality. It was found that no family had more than 3 children. The total number of children in the 50 families is 100. If the number of families with exactly 3 children is 30 and the number of families with no child is equal to the number of families with exactly one child, then the number of families with two children is1. 32. 23. 14. None of these
not