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31 Jan 2016, 08:20
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
46% (00:55) correct
54%
(00:46)
wrong
based on 93
sessions
History
Date
Time
Result
Not Attempted Yet
What is the diameter of the wheel above?
(1) The wheel has rolled 36 feet.
(2) Point P has touched the ground 5 times.
Attachment:
2016-01-31_1919.png [ 3 KiB | Viewed 2721 times ]
31 Jan 2016, 12:08
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(1) The wheel has rolled 36 feet.
Not sufficient
(2) Point P has touched the ground 5 times.
Not sufficient
Combining 1 and 2 ,
Not sufficient
Since we don't know the initial and final positions of point P , we can't find the diameter .
In one rotation , the wheel will cover a distance equal to circumference , C = 2* pi * radius = pi * diameter
If the initial and final position of point P with respect to point touching the ground is same , then total distance rolled 36 feet will be equal to 5 times the circumference
Answer E
Not sufficient
(2) Point P has touched the ground 5 times.
Not sufficient
Combining 1 and 2 ,
Not sufficient
Since we don't know the initial and final positions of point P , we can't find the diameter .
In one rotation , the wheel will cover a distance equal to circumference , C = 2* pi * radius = pi * diameter
If the initial and final position of point P with respect to point touching the ground is same , then total distance rolled 36 feet will be equal to 5 times the circumference
Answer E
13 Aug 2020, 14:49
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Hi all,
Considering both statements together, we can quickly realize that the wheel could have several diameters. Let's see this with two examples
1) Point P is exactly about to touch the floor for the first time when starting rolling and then it rolls 36 feet with point P touching the floor 5 times
2) Point P just passed the floor before starting rolling so when you start rolling then it takes almost one lap to touch the floor, so if you roll it for 36 feet and then point P touches the floor 5 times, then it would have a different diameter than in case 1)
ANSWER E: no option is sufficient and both combined are not sufficient either
Considering both statements together, we can quickly realize that the wheel could have several diameters. Let's see this with two examples
1) Point P is exactly about to touch the floor for the first time when starting rolling and then it rolls 36 feet with point P touching the floor 5 times
2) Point P just passed the floor before starting rolling so when you start rolling then it takes almost one lap to touch the floor, so if you roll it for 36 feet and then point P touches the floor 5 times, then it would have a different diameter than in case 1)
ANSWER E: no option is sufficient and both combined are not sufficient either
