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14 Jun 2015, 14:01
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B
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:
67% (01:40) correct
33%
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The range of the heights of the female students in a certain class is 30 centimeters, and the range of the heights of the male students in the class is 40 centimeters. What is the range of the heights of all the students in the class?
(1) The average (arithmetic mean) height of the male students in the class is 10 centimeters greater than the average height of the female students in the class.
(2) The shortest female student in the class is 15 centimeters shorter than the shortest male student in the class.
(1) The average (arithmetic mean) height of the male students in the class is 10 centimeters greater than the average height of the female students in the class.
(2) The shortest female student in the class is 15 centimeters shorter than the shortest male student in the class.
14 Jun 2015, 14:01
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Official Solution:
The range of the heights of the female students in a certain class is 30 centimeters, and the range of the heights of the male students in the class is 40 centimeters. What is the range of the heights of all the students in the class?
(1) The average (arithmetic mean) height of the male students in the class is 10 centimeters greater than the average height of the female students in the class.
The averages cannot give the range for the class. Not sufficient.
(2) The shortest female student in the class is 15 centimeters shorter than the shortest male student in the class.
This statement implies that the range of heights for all students is equal to the range of heights for male students plus 15 centimeters. Therefore, the height range for all students in the class is 55 centimeters. To clarify this concept further, check the diagram below:
\(-(Shortest \ female)---(Shortest \ male)---(Tallest \ female)-----(Tallest \ male)-\)
Sufficient.
Answer: B
The range of the heights of the female students in a certain class is 30 centimeters, and the range of the heights of the male students in the class is 40 centimeters. What is the range of the heights of all the students in the class?
(1) The average (arithmetic mean) height of the male students in the class is 10 centimeters greater than the average height of the female students in the class.
The averages cannot give the range for the class. Not sufficient.
(2) The shortest female student in the class is 15 centimeters shorter than the shortest male student in the class.
This statement implies that the range of heights for all students is equal to the range of heights for male students plus 15 centimeters. Therefore, the height range for all students in the class is 55 centimeters. To clarify this concept further, check the diagram below:
\(-(Shortest \ female)---(Shortest \ male)---(Tallest \ female)-----(Tallest \ male)-\)
Sufficient.
Answer: B
17 Dec 2016, 05:30
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Hi Buenel.
Please correct me if I am wrong.
Since the shortest girl is 15 cm shorter that the shortest boy and the range of height of boys on 10 greater than the range of girl, thus the tallest student in the class is a boy.
Many thanks.
Please correct me if I am wrong.
Since the shortest girl is 15 cm shorter that the shortest boy and the range of height of boys on 10 greater than the range of girl, thus the tallest student in the class is a boy.
Many thanks.
OK. Let's assume we have toys.
