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Between 7 A.M. and 9 A.M., on average 50 percent of the park

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Between 7 A.M. and 9 A.M., on average 50 percent of the park [#permalink] New post 18 Aug 2013, 06:41
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Question Stats:

62% (02:32) correct 38% (01:44) wrong based on 83 sessions
Between 7 A.M. and 9 A.M., on average 50 percent of the parking spaces at a parking lot near Stoneville International Airport were occupied. During these two hours approximately 8 cars were parked in the parking lot every 5 minutes. Between 9 A.M. and 11 A.M. of the same day, on average 70 percent of the parking spaces of the same parking lot were occupied, even though only 6 cars were parked every 5 minutes.

Which of the following, if true, helps to resolve the apparent discrepancy above?
(A)Fewer cars have left the parking lot between 9 A.M. and 11 A.M. than between 7A.M. and 9 A.M.
(B)Between 9 A.M. and 11 A.M., a parking lot at a mall situated near the airport, was filled, and some people who came to the mall had to park their cars at the parking lot near the Stoneville International Airport.
(C)Fewer planes departed from Stoneville International Airport between 9 A.M. and 11 A.M. than between 7 A.M. and 9 A.M.
(D)The number of large cars parked at the parking lot near Stoneville International Airport between 9 A.M. and 11 A.M. was greater than between 7 A.M. and 9 A.M.
(E)Some of the cars that were parked before 7 A.M. left the parking lot only after 11 A.M.
[Reveal] Spoiler: OA

Last edited by guerrero25 on 18 Aug 2013, 09:03, edited 1 time in total.
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Re: Between 7 A.M. and 9 A.M., on average 50 percent of the park [#permalink] New post 18 Aug 2013, 07:27
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guerrero25 wrote:
Between 7 A.M. and 9 A.M., on average 50 percent of the parking spaces at a parking lot near Stoneville International Airport were occupied. During these two hours approximately 8 cars were parked in the parking lot every 5 minutes. Between 9 A.M. and 11 A.M. of the same day, on average 70 percent of the parking spaces of the same parking lot were occupied, even though only 6 cars were parked every 5 minutes.

Which of the following, if true, helps to resolve the apparent discrepancy above?
(A)Fewer cars have left the parking lot between 9 A.M. and 11 A.M. than between 7A.M. and 9 A.M.
(B)Between 9 A.M. and 11 A.M., a parking lot at a mall situated near the airport, was filled, and some people who came to the mall had to park their cars at the parking lot near the Stoneville International Airport.
(C)Fewer planes departed from Stoneville International Airport between 9 A.M. and 11 A.M. than between 7 A.M. and 9 A.M.
(D)The number of large cars parked at the parking lot near Stoneville International Airport between 9 A.M. and 11 A.M. was greater than between 7 A.M. and 9 A.M.
(E)Some of the cars that were parked before 7 A.M. left the parking lot only after 11 A.M.


OA to follow ..

IMO A

Let say parking lot has 20 space for parking

between 7 - 9
average occupancy = 50% = 10 places are full
every 5 mins 8 cars were parked....so in order to make up to 50% 8 cars have to leave parking space.
so it means every 5 mins ==>8 cars are leaving==>so between 7 - 9 (120 mins) ==.total cars left = 8 * \frac{120}{5} =192

between 9 - 11
average occupancy = 70% = 14 places are full
every 5 mins 6 cars were parked....so in order to make up to 70% 6 cars have to leave parking space.
so it means every 5 mins ==>6 cars are leaving==>so between 7 - 9(120 mins) ==.total cars left =6 * \frac{120}{5} =144

clearly,Fewer cars have left the parking lot between 9 A.M. and 11 A.M. than between 7A.M. and 9 A.M.
hence A

LETS SEE OTHER OPTIONS:

(A)Fewer cars have left the parking lot between 9 A.M. and 11 A.M. than between 7A.M. and 9 A.M.
CORRECT

(B)Between 9 A.M. and 11 A.M., a parking lot at a mall situated near the airport, was filled, and some people who came to the mall had to park their cars at the parking lot near the Stoneville International Airport.
WRONG
==STILL THE PARADOX IS NOT CLEAR WHY EVERY 5 MINUTES FEWER CARS WERE PARKED.

(C)Fewer planes departed from Stoneville International Airport between 9 A.M. and 11 A.M. than between 7 A.M. and 9 A.M.
WRONG
==OUT OF SCOPE.

(D)The number of large cars parked at the parking lot near Stoneville International Airport between 9 A.M. and 11 A.M. was greater than between 7 A.M. and 9 A.M.
WRONG
==NOW DONT THINK THAT LARGE CARS ARE GOING TO OCCUPY MORE THAN 1 SPACE OF PARKING LOT FOR EACH BIG CAR.

(E)Some of the cars that were parked before 7 A.M. left the parking lot only after 11 A.M.
WRONG
==THIS WILL BE SAME FOR BOTH TIMING SO NOT RESOLVING THE PARADOX.

HENCE A
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Re: Between 7 A.M. and 9 A.M., on average 50 percent of the park   [#permalink] 18 Aug 2013, 07:27
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