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official quant thread for CAT 2009
Quantitative Questions and Answers Discuss Quantitative and other Math related questions. Post your math doubts and get it solved by the smartest brains this side of the universe !

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shalabh_mudgal shalabh_mudgal is offline
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Re: official quant thread for CAT 2009 - 04-07-2009, 12:40 PM

Answer for 3 consecutive question is 19,
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rupam_1987 rupam_1987 is offline
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Re: official quant thread for CAT 2009 - 04-07-2009, 12:56 PM

Quote:
Originally Posted by shalabh_mudgal View Post
Answer for 3 consecutive question is 19,
Plz qoute the questions... It will be easier for us...
thanx...


1) season 2008:
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shilpakokkanti shilpakokkanti is offline
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Time and distance: Source :T.I.M.E - 04-07-2009, 01:01 PM

Hi everybody,


A train 360m in lengt,travelling at a uniform speed overtok a car,travelling parallel to the tracks at 72kmph and passed it in 12 sec.48 min later,the train starts overtaking a cyclist and passed him in 9 sec.How much time aftert the train overtook the cyclist would the car overtake him???



ans is 2hr 24 min,27 sec..
Plz plz help me out..
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Re: Time and distance - 04-07-2009, 01:09 PM

Quote:
Originally Posted by shilpakokkanti View Post
Hi Guyz,
I have one more question in time and distance

towns P and Q are 265 km apart.Car A started from P at 60 kmph at 8.00 am towards Q. Car B started from Q at 40km/hr at 10.00 am towards P.At 11.00 am B stopped for half an hour.A stopped for 8 minutes at town S,which is at a distance of 210 km from P.Findthe time at which B crossed A.


I am getting the answer as 11.52.50 am.

But the answer is 11.54.30 am..


Plz plz help me out..
By the time b starts at 10, A wud have travelled 120 kms. hence remaining distance bw A and B is 145 kms. now at 11 am A will travel another 60 kms and B will travell 40..total 100 km...hence remaining dist bw thm is 45 kms.
Total dist A travelled is 180 kms. and B is 40 kms. A travells another 30 kms in that half an hour to reach p. as A reachs P at 11:30 travelling 210 kms b starts with a dist bw A and B of 15 kms. in 8 mins B travels 40 * 8/60 = 5.33 kms...thts when A starts...total remaining dist bw thm is 9.66 kms. which takes 9.66/100 * 60 = 5.8 mins...hence at 11:30 + 8 + 5.8 = 11:44:48

I hope my approach is rt..i m getting 11:44:48 am


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rupam_1987 rupam_1987 is offline
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Re: Time and distance: Source :T.I.M.E - 04-07-2009, 01:13 PM

Quote:
Originally Posted by shilpakokkanti View Post
Hi everybody,


A train 360m in lengt,travelling at a uniform speed overtok a car,travelling parallel to the tracks at 72kmph and passed it in 12 sec.48 min later,the train starts overtaking a cyclist and passed him in 9 sec.How much time aftert the train overtook the cyclist would the car overtake him???



ans is 2hr 24 min,27 sec..
Plz plz help me out..
Firstly, the train overtake the car in 12 sec.
So relative speed of train to car is 360/12 = 30m/s
And the train overtook the cyclist in 9 sec.
Se relative speed of train to cyclist is 360/9 = 40m/s

Now speed of car is 72 kmph = 72*[5/18] = 20m/s
so, trains speed is 50m/s
and cyclists speed is 10m/s

now the gap generated bet. the train and car in 48 min. is 48*30 = 1440 mtrs
and in 9 more seconds (9/60)*30 = 4.5 mtrs

now the total gap bet. train n car = gap bet. train n cyclist at the time when train overtakes cyclist

so dividing by the relative speed of car n cycle i.e. 20-10 = 10
we get the time taken is 1444.45/10 = 144.45min = 2hrs 24 min and 27 sec

hope this solves ur query...


1) season 2008:
cat 08 : 87.xx - nowhere near
jmet : AIR 856 Calls : IIT kgp,k,r
snap : 78.50 didn't fill any form
xat : 84.xx :( verbal
fms : Reject

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Last edited by rupam_1987; 04-07-2009 at 01:16 PM. Reason: brackets....
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rupam_1987 rupam_1987 is offline
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Re: Time and distance - 04-07-2009, 01:15 PM

Quote:
Originally Posted by shanks4mba View Post
By the time b starts at 10, A wud have travelled 120 kms. hence remaining distance bw A and B is 145 kms. now at 11 am A will travel another 60 kms and B will travell 40..total 100 km...hence remaining dist bw thm is 45 kms.
Total dist A travelled is 180 kms. and B is 40 kms. A travells another 30 kms in that half an hour to reach p. as A reachs P at 11:30 travelling 210 kms b starts with a dist bw A and B of 15 kms. in 8 mins B travels 40 * 8/60 = 5.33 kms...thts when A starts...total remaining dist bw thm is 9.66 kms. which takes 9.66/100 * 60 = 5.8 mins...hence at 11:30 + 8 + 5.8 = 11:44:48

I hope my approach is rt..i m getting 11:44:48 am
I am getting the same thru my approach...


1) season 2008:
cat 08 : 87.xx - nowhere near
jmet : AIR 856 Calls : IIT kgp,k,r
snap : 78.50 didn't fill any form
xat : 84.xx :( verbal
fms : Reject

orkut || facebook || twitter
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rupam_1987 rupam_1987 is offline
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Re: Time and distance - 04-07-2009, 01:23 PM

Quote:
Originally Posted by shilpakokkanti View Post
Hi Guyz,
I have one more question in time and distance

towns P and Q are 265 km apart.Car A started from P at 60 kmph at 8.00 am towards Q. Car B started from Q at 40km/hr at 10.00 am towards P.At 11.00 am B stopped for half an hour.A stopped for 8 minutes at town S,which is at a distance of 210 km from P.Findthe time at which B crossed A.


I am getting the answer as 11.52.50 am.

But the answer is 11.54.30 am..


Plz plz help me out..
Can you plz verify the data... I am getting a totally different answer...


1) season 2008:
cat 08 : 87.xx - nowhere near
jmet : AIR 856 Calls : IIT kgp,k,r
snap : 78.50 didn't fill any form
xat : 84.xx :( verbal
fms : Reject

orkut || facebook || twitter
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priyalli priyalli is offline
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Re: official quant thread for CAT 2009 - 04-07-2009, 02:21 PM

The consumption of diesel per hour of a bus varies directly as square of its speed .When the bus is travelling at 40 kmph its consumption is 1 litre per hour.if each litre cost rs 40 and other expences per hour is rs 40,then what would be the minimum expenditure required to cover a distance of 400 km ??


pls ealborate thru steps
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shilpakokkanti shilpakokkanti is offline
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Re: Time and distance: Source :T.I.M.E - 04-07-2009, 02:35 PM

thanks rupam..
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shilpakokkanti shilpakokkanti is offline
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Time and distance: Source :T.I.M.E - 04-07-2009, 02:37 PM

In a 100 m race,A beats B by 20 m and B beats c by 7.5 sec.Wht is B'sspeed if A runs twice as fast as C.??
This is an easy question.. but i am very poor in time and distance..please help me out..
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