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06 Jan 2015, 08:17
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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:
15%
(low)
Question Stats:
78% (01:07) correct
22%
(01:22)
wrong
based on 146
sessions
History
Date
Time
Result
Not Attempted Yet
Tough and Tricky questions: Word Problems.
How many people are in a certain elevator?
(1) The average (arithmetic mean) and median weights of the people in the elevator are both 150 pounds.
(2) One person in the elevator weighs more than 150 pounds and one person weighs less than 150 pounds.
Kudos for a correct solution.
06 Jan 2015, 09:15
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E
Both the following lists satisfy both conditions and thus the number cannot be determined
100,150,200
100,150,150,150,200
Both the following lists satisfy both conditions and thus the number cannot be determined
100,150,200
100,150,150,150,200
07 Jan 2015, 05:46
Kudos
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1) average (arithmetic mean) = median weights = 150.
When average = median, it means that the values are evenly distributed across median.
In this case, there can be any number of people. Insufficient.
eg: 145, 150, 155 or 140,145 150, 155, 160
2) there can be any number of 150 pound people. Insufficient.
eg: 145, 150, 155 or 145, 150, 150, 150, 155
Combined, we still don't get the exact number. Hence insufficent.
When average = median, it means that the values are evenly distributed across median.
In this case, there can be any number of people. Insufficient.
eg: 145, 150, 155 or 140,145 150, 155, 160
2) there can be any number of 150 pound people. Insufficient.
eg: 145, 150, 155 or 145, 150, 150, 150, 155
Combined, we still don't get the exact number. Hence insufficent.
