Official Quant thread for CAT 2013

MBA CAT 2024
7281
@krum said:
please elaborate, how are u getting more than 9
i might have interpreted it wrong.

i assumed the train returns after reaching the destination.
with that i got 15

7282
@ananthchief said:
A dealer gives as much discount (in percent) as the markup(in percent) is above the cost price. What is the markup percentage when the loss in percentage when the loss in percentage be half of the percentage markup?Answer is 50%
50 %

Let the markup percent = x

After markup = cost = 100 + (x/100)*100

discount = x/100(100+x)

therefore Selling price = (100 - x + x - (x^2)/100 )

loss = (x^2)/100

loss % = (x/2)

(((x^2)/100)/100) * 100 = (x/2)

Solving this x=50


7283
@ananthchief said:
A dealer gives as much discount (in percent) as the markup(in percent) is above the cost price. What is the markup percentage when the loss in percentage when the loss in percentage be half of the percentage markup?Answer is 50%
let cp=100 and mp =150
markup% =50%
so sp= 150*50/100=75
loss%= 100-75/100= 25%
%markup=2*%loss=50%
7284

there are 10 pockets of chips and biscuits in the cupboard. ram pulls out 3 pockets and all of them turn out to be chips what is the probability that the snack cupboard contain 1 packet of biscuits and 9 pockets of chips

7285
@wovfactorAPS said:
The metro service has a train going from Mumbaito Pune and Pune to Mumbai every hour. The first one at 6a.m. The trip from one city to another takes 4.5 hours, andall trains travel at the same speed. How many trains willpass while going from Mumbai to Pune, if you start at 12noon?(A) 8 (B) 10(C) 9 (D) 13
train started at 12 from one side
Other train started from other side at 6 am.Destination at other side at 10.5 am
Similarly 7am .Destination at other side at 11.5 am
So above trains can not meet
At 8 am ->destination at 12.5
At 9 am->destination at 13.5
At 10 am->destination at 14.5
At 11 am->destination at 15.5
At 12 am ->destination at 16.5
Now both are at opposite end points..

At 1 pm->they can not pass each other.
Is it correct?
7286
@Budokai001 said:
If 1/x + 1/y = 1/18 with x & y are positive integers.How many pairs of (x,y) exists?Dont have OA yettry it out guys
18x+18y=xy
xy-18x-18y=0
(x-18)*(y-18)=324
(x-18)*(y-18)=324
324=2^2*3^5
Number of factors=3*6=18
7287
@gnehagarg said:
18x+18y=xyxy-18x-18y=0(x-18)*(y-18)=324(x-18)*(y-18)=324324=2^2*3^5Number of factors=3*6=18
it will be 3^4 not 3^5
7288
@gnehagarg said:
train started at 12 from one sideOther train started from other side at 6 am.Destination at other side at 10.5 amSimilarly 7am .Destination at other side at 11.5 amSo above trains can not meet At 8 am ->destination at 12.5At 9 am->destination at 13.5At 10 am->destination at 14.5At 11 am->destination at 15.5At 12 am ->destination at 16.5Now both are at opposite end points..At 1 pm->they can not pass each other.Is it correct?
u missed some.

the train which starts at 1pm from pune meets the required train..

u missed some more like the above

7289
@kingsleyx said:
Carl walks over a railway-bridge. At the moment that he is just ten meters away from the middle of the bridge, he hears a train coming from behind. At that moment, the train, which travels at a speed of 90 km/h, is exactly as far away from the bridge as the bridge measures in length. Without hesitation, Carl rushes straight towards the train to get off the bridge. In this way, he misses the train by just four meters! If Carl would, however, have rushed exactly as fast in the other direction, the train would have hit him eight meters before the end of the bridge.What is the length of the railway-bridge?
44?
7290

Rohan has a certain amount of money and sohan has a greater amount. If sohan gives Rs 60 to rohan, then the amount with Rohan and Sohan are the same. If Rohan gives 30 Rs to Sohan, the amount with Sohan is thrice the amount with Rohan. What is the total amount with Rohan and Sohan together?

7291
@gupanki2 said:
Rohan has a certain amount of money and sohan has a greater amount. If sohan gives Rs 60 to rohan, then the amount with Rohan and Sohan are the same. If Rohan gives 30 Rs to Sohan, the amount with Sohan is thrice the amount with Rohan. What is the total amount with Rohan and Sohan together?
360?
7292
@gupanki2 said:
Rohan has a certain amount of money and sohan has a greater amount. If sohan gives Rs 60 to rohan, then the amount with Rohan and Sohan are the same. If Rohan gives 30 Rs to Sohan, the amount with Sohan is thrice the amount with Rohan. What is the total amount with Rohan and Sohan together?
S-R=120 ----------->1
S-3R=-120 ------------>2
solve 1 and 2

S=240
R=120

360?
7293
@maddy2807 @19rsb .... ... yaar equations bataooo.... pata nahi where i got struck in this simple q' ...
7294
@gupanki2 said:
@maddy2807@19rsb .... ... yaar equations bataooo.... pata nahi where i got struck in this simple q' ...
updated my previous post
7295
@maddy2807 bosss hw did u get these equations ??? as pper me...
S-60 = R (1)
3(R-30) = S (2)
7296
@ananthchief said:
A dealer gives as much discount (in percent) as the markup(in percent) is above the cost price. What is the markup percentage when the loss in percentage when the loss in percentage be half of the percentage markup?Answer is 50%
CP=100
MP=150
SP=75
Loss=25%
MP=50%



7297
@gupanki2 said:
@maddy2807 bosss hw did u get these equations ??? as pper me...S-60 = R (1)3(R-30) = S (2)
making small mistake here
S gave 60/- to R, so R has total (R+60)/-

for equation 1st,
S-60= R+60
from this we hv
S-R=120
similar for 2nd one also
i hope it is lucid enough?
7298
a1, a2, a3, ...., an are positive integers such that a1 + a2 + .... + an = 2005. Find the maximum possible value of a1*a2*a3*.....*an
7299
@mohnish_khiani said:
What is the LCM of 2.5,0.5,0.175 ?Answer -> 17.5What the procedure??
LCM 5/2,1/2,7/40
LCM of 5,7
HCF of 2,2,40
35/2=17.5
7300

2, 3, 5, 7, 11 , ?, 17


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@maddy2807