Latest TCS Aptitude Question SOLUTION: A train starts full of passengers. At the first station, it drops one-third of the passengers and takes 280 more. At the second station, it drops one-half of the new total and tak

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(#M40000701) TCS question Keep an EYE

A train starts full of passengers. At the first station, it drops one-third of the passengers and takes 280 more. At the second station, it drops one-half of the new total and takes 12 more. On arriving at the third station, it is found to have 248 passengers. Find the number of passengers in the beginning.

(a) 240 (b) 248 (c) 280 (d) 288

Asked In TCS Rajeev Singh (13 years ago)

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YadeeshKumar  (13 years ago)

ans is d)288
let total no. of passenger is x
at first station it drops 1/3th of the passenger
that is (x-x/3) passenger left and takes 280 more passenger.
now the total no. of passenger is (2x/3)+280==>(2x+840)/3
at second station it drops half of the passenger,
that is (2x/840)/(3*2)==>(x+420)/3
and takes 12 more passenger.
now the current total is ((x+420)/3)+12==>(x+456)/3
at third station the total number of passenger is 248
that is (x+456)/3=248
x+456=744
x=288

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suneil  (13 years ago)

let x be the initial no. of passengers
form an equation using the question
first station x-x/3+280
second station y-y/2+12
third station total is 248
equate and solve
x-x/3+280 = y-y/2+12 = 248
now
y-y/2+12 = 248 so y = 472
x-x/3+280 = 472 so x = 288
the answer is 288

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manjusha  (13 years ago)

ans is 288
(x/3+12)/2=248
then solve for x

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RAVI  (13 years ago)

288

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