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Master | Next Rank: 500 Posts
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by ST » Sun Aug 09, 2009 5:09 pm
could someone please explain this?
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Source: — Data Sufficiency |
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by georgeung » Mon Aug 10, 2009 12:15 pm
This is how I solved it:
Class A
Range = r
Greatest Height = g

Class B
Range = s
Greatest Height = h

Data 1: r<s. The range for Class A is less than the range for class B. This is insufficient because we it doesn't tell us anything about the least height of the students.

Data 2: g>h. The greatest height of A is greater than the greatest height of B; however, there is no mention of the least height of the students.

Combine: Because we know the range and the greatest height, we can infer the least height of the students.

For example, if Class A has the range (r) = 3 and greatest height (g)= 70 inches, then the least height of the students is 67 inches.

If Class B has the range (s) = 4 and the greatest height (h) = 69 [because we have the formulas r<s and g>h], then the least height of class B is 65.

The correct answer is both of the statements.
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