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GPREP Range Question

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by zagcollins » Mon Jul 28, 2008 2:53 am
For the students in class A, the range of their height is r cm and greatest height is g cm. In class B, the range of heights is s cm and greatest height is h cm. Is the least height of students in class A greater than least height of students in class B?

1)r<s
2)g>h

OA is C.
Last edited by zagcollins on Tue Jul 29, 2008 4:26 am, edited 2 times in total.
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Source: — Data Sufficiency |
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by augusto » Mon Jul 28, 2008 9:42 am
The answer is C.

From (1) you know that Range(A) is < Range(B), which is not sufficient.

From (2) you know that Tallest(A) is > Tallest(B), which is not sufficient.

from (1) and (2) you know that Range(A) < Range(B), and also that Tallest(A) > Tallest(B).
We can infer
Smallest(A) = Tallest(A) - Range(A)
Smallest(B) = Tallest(B) - Range(B)

with that you can conclude that Smallest(A) > Smallest(B).


I know that I'm not very clear... sorry about it, I really don't know how to explain this problem.
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by ricky » Mon Jul 28, 2008 9:46 am
IMO C as well.
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by cramya » Fri Dec 26, 2008 3:30 pm
A:
Range : r
greatest: g

r = g - lowest a

B:
range: s
greatest: h

s = h - lowest b

Q: Is lowest a > lowest b

(or) g-r > h-s

Stmt I

r<s

INSUFF since g can be that much greater than h to compensate for r being lower than s

Stmt II

g>h

INSUFF since s can be that much smaller than r to compensate for g being greater than h

Stmt I and II together
r<s
g>h

g-r > h-s

SUFF

Choose C)
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