Official Quant thread for CAT 2013

@Torque024 said:
Is it 29?
...

@pankaj1988 said:
A product can be produced either on machine A or B. It takes 3 hrs to set up A and then 15 min to produce each unit. Machine B takes 4 hrs to set up and then it produce each unit in only 12 min. A total of 60 units have to be produced .If both the machine can be used and the job has to be done in minimum possible time, how many units should be produced by A?,29,32,28,31..P.S. plz post soln
T - Total Products
H - Hours spent

A - B - T - H
0 - 0 - 0 - 3
4 - 0 - 4 - 4
4 - 5 - 9 - 5
4 - 5 - 9 - 6
4 - 5 - 9 - 7
4 - 5 - 9 - 8
4 - 5 - 9 - 9
4 - 5 - 9 - 10
1 - 1 - 2 - 10:15
------------------
29-31-60-10:15
@gyrodceite said:
For CWG taxis are brought into service.Half way going during the opening Ceremony ,10 taxis broke down.Hence each taxi had to carry one more person to equalize the load. At the time of returning from opening Ceremony 15 more taxis were not working,hence each taxi has to carry 3 more people than what they started out in the morning.. Find the number of people who attended CWG ceremony?
Let x be the taxis p be the person they carry
so xp is the total number of people
when 10 taxis broke
(x-10)(p+1) = xp=> xp+x-10p-10 so x-10p = 10----(i)
(x-25)(p+3) = xp=>xp-+3x-25p-100 so 3x-25p = 75.... (ii)
p = 9
x = 100


so 900 people

@catter2011 said:
Four of the five numbers given below all alike in a certain way so form a group. Which is one that does not belong to group?(A) 47 (B) 73 (C) 89 (D) 151 (E) 209
Is it 89?
47= 7^2-2
73= 9^2-2^3
89= 10^2-11

151=13^2-2^3
209=15^2-2^4
@gyrodceite said:
For CWG taxis are brought into service.Half way going during the opening Ceremony ,10 taxis broke down.Hence each taxi had to carry one more person to equalize the load. At the time of returning from opening Ceremony 15 more taxis were not working,hence each taxi has to carry 3 more people than what they started out in the morning.. Find the number of people who attended CWG ceremony?
n - no. of taxis
p - no. of people in a taxi

np = (n - 10) (p + 1) = (n - 25)(p + 3)

Solving we get n= 100, p = 9

So answer 900
@pankaj1988 said:
A product can be produced either on machine A or B. It takes 3 hrs to set up A and then 15 min to produce each unit. Machine B takes 4 hrs to set up and then it produce each unit in only 12 min. A total of 60 units have to be produced .If both the machine can be used and the job has to be done in minimum possible time, how many units should be produced by A?,29,32,28,31..P.S. plz post soln
My take 29
In the first 4 hours machine a produces 4 units
after 4 hours both machine a and b are ready to operate and they manufacture 9 every hour
so 54 in 6 hours. In the remaining 2, one is produced by A and the other by B .
Hence 4+6*4+1 = 29
@pankaj1988 said:
A product can be produced either on machine A or B. It takes 3 hrs to set up A and then 15 min to produce each unit. Machine B takes 4 hrs to set up and then it produce each unit in only 12 min. A total of 60 units have to be produced .If both the machine can be used and the job has to be done in minimum possible time, how many units should be produced by A?,29,32,28,31..P.S. plz post soln
A -> 3 + 0.25
B -> 4 + 0.2

(A + B) = 60
0.25A = 0.2B + 1
0.25A - 0.2B = 1
A - 0.8B = 4

Solve
1.8B = 56
B = 31 1/9
A = 28 8/9

Closest integral value for A = 29
Find the area of the of the shaded region if it is a unit square
@Torque024 said:
28 sure, pahle mistake ho gai thi. Please confirm ansafter 16 mina 13/15 unitsb 1 unitafter +12 mina 13/15 + 12/15 unitsb 2 unitsafter +12*2 mina 13/5 +(12/15)*2b 3 unitsafter +12*x mina 13/5 +(12/15)xb (x+1)a+b=60 got a as 27.xxx = 28
Bhai OA 29 hi hai
Some sarees are made from cloth. Some cloth is made from cotton. Cotton is made from yarn.


I. Yarn may be used to make some sarees.
II. Cotton is used to make some sarees.
III. Cloth is made from some yarn.

ps:approach bata dena yar..
@sowmyanarayanan said:
Find the area of the of the shaded region if it is a unit square
let bigger circle radius be R and smll circle radius be r
r/R = 1- 1/rt2 / 1+ 1/rt2
r/R = rt2 -1 / rt2 + 1

area of shaded region = 1 - p(R^2/4 + r^2)
1 - p( 2+1 +2rt2 + 8 + 4 -8rt2)/4
1- p/4*(9 - 6rt2) ?
@sowmyanarayanan said:
Find the area of the of the shaded region if it is a unit square
1 - pi(1/4) - pi(17 - 12sqrt(2))?

Let r be the radius of the circle.
r(1 + sqrt(2)) + 1 = sqrt(2)
r = (sqrt(2) - 1) / (sqrt(2) + 1)
r = 3 - 2sqrt(2)
r^2 = 9 + 8 - 12sqrt(2) = 17 - 12sqrt(2)

Required area = 1 - pi(1/4) - pi(17 - 12sqrt(2))
@sowmyanarayanan said:
Find the area of the of the shaded region if it is a unit square
small r=3-2rt(2)
shaded region= 1- (pi/4)- pi*r^2
@antodaya said:
Some sarees are made from cloth. Some cloth is made from cotton. Cotton is made from yarn.I. Yarn may be used to make some sarees.II. Cotton is used to make some sarees. III. Cloth is made from some yarn.ps:approach bata dena yar..
Is it option 3?
@soumitrabengeri said:
Is it option 3?
option 1 dia hua hai ans.....
@antodaya said:
Some sarees are made from cloth. Some cloth is made from cotton. Cotton is made from yarn.I. Yarn may be used to make some sarees.II. Cotton is used to make some sarees. III. Cloth is made from some yarn.ps:approach bata dena yar..
1 ??
@antodaya said:
option 1 diahuahai ans.....
..i got this diagram..please check
@antodaya said:
Some sarees are made from cloth. Some cloth is made from cotton. Cotton is made from yarn.I. Yarn may be used to make some sarees.II. Cotton is used to make some sarees. III. Cloth is made from some yarn.ps:approach bata dena yar..
Sarees made from cloth type A.
Cloth type B made from cotton.
Cotton is made from yarn.

I. Correct.
If A and B intersection is not a null set then can be true.

II. Incorrect
If A and B intersection is a null set then can be false.

III. Incorrect
"Some" cloth is made from some yarn.
@Brooklyn said:
1 ??
kaise kia yar batana..mera venn diag to aise aa raha hai...
@antodaya said:
Some sarees are made from cloth. Some cloth is made from cotton. Cotton is made from yarn.I. Yarn may be used to make some sarees.II. Cotton is used to make some sarees. III. Cloth is made from some yarn.ps:approach bata dena yar..
II Cotton is used to make some sarees. Solved by venn, please confirm.