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30 Aug 2011, 04:02
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E
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Difficulty:
35%
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61% (01:18) correct
39%
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wrong
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Suppose half of the passengers on a bus exit at each stop and no additional passenger boards in the bus. If on the fourth stop, the next to the last person exits the bus, how many people were on the bus?
A) 64
B) 32
C) 40
D) 20
E) 16
A) 64
B) 32
C) 40
D) 20
E) 16
30 Aug 2011, 04:49
Kudos
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if half person exits as each stop then :
let x be the total passengers in the bus
1st stop -->x/2 get down
2nd stop -->x/4 get down
3rd stop -->x/8 get down
4th stop -->x/16 get down
if next to the last person exits the stop means:
x/16(no of passengers that get down on the fourth stop)=1
hence
-->x=16.
answer E
let x be the total passengers in the bus
1st stop -->x/2 get down
2nd stop -->x/4 get down
3rd stop -->x/8 get down
4th stop -->x/16 get down
if next to the last person exits the stop means:
x/16(no of passengers that get down on the fourth stop)=1
hence
-->x=16.
answer E
31 Aug 2011, 21:55
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redwine01
Hello guys i suddenly stumbled on this problem.
Suppose half of the passengers on a bus exit at each stop and no additional passenger boards in the bus. If on the fourth stop, the next to the last person exits the bus, how many people were on the bus?
A) 64 B)32 C)40 D)20 E)16
Suppose half of the passengers on a bus exit at each stop and no additional passenger boards in the bus. If on the fourth stop, the next to the last person exits the bus, how many people were on the bus?
A) 64 B)32 C)40 D)20 E)16
Many questions can be solved without involving much Math. Start from what is given to you. You know that on the fourth stop, 1 person exited and 1 person was left on the bus. This means that before the fourth stop, there were 2 people on the bus. On the third stop, two people must have exited leaving 2 on the bus. On the second stop, 4 people must have exited. On the first stop, 8 people must have exited. Therefore, before the first stop, there must have been 16 people on the bus.
. 
