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

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

04 Mar 2011, 19:42

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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]

04 Mar 2011, 20:21

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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:

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Re: 231. In a certain class, boys' heights range is 10 inches. [#permalink]

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]

05 Mar 2011, 03:37

banksy wrote:

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.

Answer: A.

Similar question: ds-question-need-help-103941.html
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Re: 231. In a certain class, boys' heights range is 10 inches. [#permalink] 05 Mar 2011, 03:37

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

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

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