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M31-29

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M31-29 [#permalink]

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New post 14 Jun 2015, 14:01
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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.

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New post 14 Jun 2015, 14:01
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 implies that the range of the heights of all the students in the class is the range of the male students plus 15 centimeters, so 55 centimeters. Sufficient.


Answer: B
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Re: M31-29 [#permalink]

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New post 19 Aug 2015, 14:45
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I think this is a high-quality question and I don't agree with the explanation. the answer is 55 not 45
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Re: M31-29 [#permalink]

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New post 19 Aug 2015, 14:49
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Re M31-29 [#permalink]

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New post 24 Jul 2016, 00:21
I think this is a high-quality question and the explanation isn't clear enough, please elaborate. Bunuel,

Can you explain with plugged in numbers and what scenarios are not possible and what scenarios are only possible and hence statement 2 is sufficient?
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New post 24 Jul 2016, 02:38
Senthil7 wrote:
I think this is a high-quality question and the explanation isn't clear enough, please elaborate. Bunuel,

Can you explain with plugged in numbers and what scenarios are not possible and what scenarios are only possible and hence statement 2 is sufficient?


Check here: the-range-of-the-heights-of-the-female-students-in-a-certain-class-is-198109.html
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M31-29 [#permalink]

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New post Updated on: 22 Nov 2016, 07:42
Dear Brunel,

I was wondering why is it assumed that the tallest person in the class is male and not female?

Originally posted by anooshehka on 22 Nov 2016, 07:32.
Last edited by anooshehka on 22 Nov 2016, 07:42, edited 1 time in total.
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Re: M31-29 [#permalink]

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New post 22 Nov 2016, 07:36
anooshehka wrote:
Dear Brunel,

I was wondering why is it assumed that the tallest person in the class is male and not female? Because I have seen females who are taller than men or for GMAT we have to assume men are taller?


Please re-read the solution. No such assumption was made.
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Re: M31-29 [#permalink]

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New post 22 Nov 2016, 07:39
Dear Brunel,

Thank you! got it
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Re: M31-29 [#permalink]

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New post 17 Dec 2016, 05:30
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.
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Re: M31-29 [#permalink]

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New post 17 Dec 2016, 11:25
dsheth7 wrote:
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.


You are right. Also, the tallest boy in that class is 25 cm taller than the tallest girl in that class.
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M31-29 [#permalink]

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New post 31 Mar 2017, 11:29
My 2 cents:
Hopefully this will help visualize the issue:
1) (w1+…+wf)/f + 10 = (w1+…+wm)/m - Not sufficient

2) Sufficient
|--------fs-----------Ms----------------------fl-----------------------------------Ml------------------
0--------5-----15---20----------------------35----------------------------------60
|--------------------30---------------|
|---------------------------------------40-------------------|
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Re: M31-29 [#permalink]

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New post 19 May 2017, 02:15
anooshehka wrote:
Dear Brunel,

I was wondering why is it assumed that the tallest person in the class is male and not female?


You Can go through the solution again.
Re: M31-29   [#permalink] 19 May 2017, 02:15
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