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# In a certain class, boys' heights range is 10 inches, and

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Joined: 10 Feb 2011
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In a certain class, boys' heights range is 10 inches, and [#permalink]

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04 Mar 2011, 19:42
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In a certain class, boys' heights range is 10 inches, and girls' height range is 8 inches. What is heights' range for all of the students?

(1) The shortest boy is 2 inches taller than the tallest girl.
(2) The tallest girl in the class is 72 inches in height.
[Reveal] Spoiler: OA
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Re: 231. In a certain class, boys' heights range is 10 inches. [#permalink]

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04 Mar 2011, 20:21
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KUDOS
Tricky one. language is issue.
1)
The shortest boy is 2+8 inches taller than the shortest girl.
The tallest boy is 10 inches taller than the shortest boy
Hence range is 2+ 8 + 10 = 20

2) Insufficient

Hence A.

banksy wrote:
231. In a certain class, boys' heights range is 10 inches, and girls' height range is 8 inches. What is heights' range for all of the students?
(1) The shortest boy is 2 inches taller than the tallest girl.
(2) The tallest girl in the class is 72 inches in height.
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Re: 231. In a certain class, boys' heights range is 10 inches. [#permalink]

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04 Mar 2011, 21:26
Answer is A, as from 1 we have :

tallest boy - shortest boy = 8

And shortest boy - tallest girl = 2

And tallest girl - shortest girl = 10

Adding all 3 we can get tallest boy - shortest girl = 20.

From (2), nothing given about relationship between girls' and boys' height, so not enough.
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Re: 231. In a certain class, boys' heights range is 10 inches. [#permalink]

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05 Mar 2011, 03:37
banksy wrote:
231. In a certain class, boys' heights range is 10 inches, and girls' height range is 8 inches. What is heights' range for all of the students?
(1) The shortest boy is 2 inches taller than the tallest girl.
(2) The tallest girl in the class is 72 inches in height.

The range of a set is the difference between the largest and smallest elements of a set.

So, we have:
{tallest boy} - {shortest boy} = 10;
{tallest girl} - {shortest girl} = 8;

(1) The shortest boy is 2 inches taller than the tallest girl --> so we have:

{shortest girl} ----(8)----{tallest girl}-(2)-{shortest boy}-----(10)-----{tallest boy}

So, {the range for all of the students} = {girls' range} + 2 + {boys' range} = 20. Sufficient.

(2) The tallest girl in the class is 72 inches in height. Clearly insufficient.

Similar question: ds-question-need-help-103941.html
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Re: In a certain class, boys' heights range is 10 inches, and [#permalink]

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15 Mar 2016, 08:55
banksy wrote:
In a certain class, boys' heights range is 10 inches, and girls' height range is 8 inches. What is heights' range for all of the students?

(1) The shortest boy is 2 inches taller than the tallest girl.
(2) The tallest girl in the class is 72 inches in height.

this is really a tricky question. I started out getting this into algebra and got stuck. The best manner to solve this is to put your head into the question and knowing difference very well not just knowing that difference means 3 minus 1 equals 2.
what is range for all student?
Answer: this has to be the number of numbers between the smallest numbner and the greatest number.
1) tells us to add to the the two ranges and get the answer
Re: In a certain class, boys' heights range is 10 inches, and   [#permalink] 15 Mar 2016, 08:55
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